Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

-29.7MiB live, 9.6MiB 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)

sample967.0ms (16%)

Memory

25.6MiB live, 1 690.7MiB allocated

Samples

425.0ms	8 256×	0	valid
160.0ms	2 989×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-exp: 177.0ms (54.3% of total)

ival-div: 75.0ms (23% of total)

ival-add: 60.0ms (18.4% of total)

ival-true: 9.0ms (2.8% of total)

ival-assert: 5.0ms (1.5% of total)

Bogosity

explain76.0ms (1.3%)

Memory

-14.4MiB live, 153.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.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	1	0
↳	`(exp.f64 a)`	overflow	1
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	73
↳	`(exp.f64 a)`	overflow	1
↳	`(exp.f64 b)`	overflow	72

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-exp: 8.0ms (53.9% of total)

ival-div: 3.0ms (20.2% of total)

ival-add: 3.0ms (20.2% of total)

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

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

preprocess86.0ms (1.4%)

Memory

4.9MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

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 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify2.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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)))

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

localize20.0ms (0.3%)

Memory

2.4MiB live, 41.7MiB 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	0.2578152510508252	(/.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: 8.0ms

ival-exp: 4.0ms (50.8% of total)

ival-div: 2.0ms (25.4% of total)

ival-add: 1.0ms (12.7% of total)

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

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

series7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB 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 (/ (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 (+ 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 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 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 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 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 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 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 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 (/ 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 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 (+ 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 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) (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) (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 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) (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) (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>) () ())) ())

Calls

6 calls:

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

simplify161.0ms (2.7%)

Memory

-7.7MiB live, 225.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	740
1	332	725
2	964	708
3	3689	677
0	8345	640

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite172.0ms (2.8%)

Memory

-32.6MiB live, 262.3MiB allocated

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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval47.0ms (0.8%)

Memory: 28.5MiB live, 109.5MiB allocated
Compiler: Compiled 10 984 to 1 193 computations (89.1% saved)

prune10.0ms (0.2%)

Memory

-4.3MiB live, 34.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

99.7%

Counts

414 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
▶	63.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	81.6%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b)))
▶	81.7%	#s(approx (/ (exp a) (+ (exp a) (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)))))
▶	81.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Compiler

Compiled 184 to 118 computations (35.9% saved)

simplify168.0ms (2.8%)

Memory

17.2MiB live, 213.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (exp.f64 b) (exp.f64 a))
cost-diff	0	(fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
cost-diff	6528	(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a))
cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff	0	(+.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
cost-diff	0	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff	0	#s(approx (exp b) #s(literal 1 binary64))
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 b)
cost-diff	0	(+.f64 (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	320	(*.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))))
cost-diff	512	(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))))))
cost-diff	6144	(+.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)))))
cost-diff	7104	(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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	388
0	76	388
1	115	385
2	204	380
3	643	380
4	1733	372
5	4088	370
6	5477	368
7	7344	366
0	8167	359

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (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)))))
(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))))
(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))))))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
a
#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)
b
(+.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)))))
(/.f64 a (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 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))))
(fma.f64 a #s(literal 3/2 binary64) #s(literal 1 binary64))
#s(literal 3/2 binary64)
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.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 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(+.f64 (exp.f64 a) (exp.f64 b))
(exp.f64 a)
(exp.f64 b)
b
(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a))
(fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(-.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 b)
b
(exp.f64 a)
a
(pow.f64 (exp.f64 a) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
(pow.f64 (exp.f64 b) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (exp.f64 a) #s(literal 3 binary64))

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

localize173.0ms (2.9%)

Memory

-28.2MiB live, 336.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(pow.f64 (exp.f64 a) #s(literal 3 binary64))
accuracy	0.20312500000000003	(fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
accuracy	0.7499999989924531	(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
accuracy	19.408995610435362	(-.f64 (exp.f64 b) (exp.f64 a))
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.2578152510508252	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b)))
accuracy	1.9597070041189553	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	0.2578152510508252	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	1.3707655749255596	#s(approx (exp b) #s(literal 1 binary64))
accuracy	0	(exp.f64 b)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy	0.01171875	(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy	2.2111887579705423	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
accuracy	0.015625	(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))
accuracy	0.01953125	(+.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)))))
accuracy	0.2015018310443929	(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))))))
accuracy	1.9230483926207473	#s(approx (/ (exp a) (+ (exp a) (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)))))

Samples

62.0ms	70×	1	valid
39.0ms	90×	1	exit
23.0ms	70×	0	exit
8.0ms	7×	2	valid
5.0ms	19×	0	valid

Compiler

Compiled 341 to 40 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

adjust: 31.0ms (28.5% of total)

ival-add: 18.0ms (16.5% of total)

ival-mult: 14.0ms (12.9% of total)

ival-pow: 13.0ms (11.9% of total)

ival-exp: 12.0ms (11% of total)

ival-div: 11.0ms (10.1% of total)

ival-pow2: 7.0ms (6.4% of total)

ival-sub: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series68.0ms (1.1%)

Memory

13.3MiB live, 132.2MiB allocated

Counts

23 → 444

Calls

Call 1

Inputs
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())
#s(alt (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)))))) (patch (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)))))) #<representation binary64>) () ())
#s(alt (.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)))) (patch (.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)))) #<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 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 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (patch #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) a) (patch (+.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (patch (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 b) (exp.f64 a)) (patch (-.f64 (exp.f64 b) (exp.f64 a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (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))))) (patch #s(approx (/ (exp a) (+ (exp a) (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))))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)) (patch (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (patch (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (+ 1/2 (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a)))))) (taylor 0 b) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) 1/4)))) (taylor 0 b) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (+ (* a (* b (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a))))) (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a))))) 1/4)))) (taylor 0 b) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
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#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (patch #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (patch #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (patch #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (patch #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) a) (patch (+.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) a) (patch (+.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) a) (patch (+.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) a) (patch (+.f64 #s(literal 1 binary64) a) #<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) (- (exp b) (exp a))) (pow (exp a) 2))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (patch (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (patch (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (patch (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (patch (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (patch (/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)) (taylor -inf a) (#s(alt (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)) (taylor -inf a) (#s(alt (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)) (taylor -inf a) (#s(alt (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)) (taylor -inf a) (#s(alt (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (patch (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp b) (exp a)) (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 b) (exp a)) (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 b) (exp a)) (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 b) (exp a)) (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 a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (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))))) (patch #s(approx (/ (exp a) (+ (exp a) (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))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (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))))) (patch #s(approx (/ (exp a) (+ (exp a) (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))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (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))))) (patch #s(approx (/ (exp a) (+ (exp a) (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))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (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))))) (patch #s(approx (/ (exp a) (+ (exp a) (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))))) #<representation binary64>) () ())) ())
#s(alt (pow (exp a) 3) (taylor -inf a) (#s(alt (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (patch (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp a) 3) (taylor -inf a) (#s(alt (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (patch (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp a) 3) (taylor -inf a) (#s(alt (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (patch (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp a) 3) (taylor -inf a) (#s(alt (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (patch (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	b	@	inf	((+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2)))) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (/ (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) 3) (pow (exp a) 3))
10.0ms	b	@	-inf	((+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2)))) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (/ (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) 3) (pow (exp a) 3))
8.0ms	a	@	inf	((+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2)))) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (/ (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) 3) (pow (exp a) 3))
7.0ms	b	@	0	((+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2)))) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (/ (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) 3) (pow (exp a) 3))
5.0ms	a	@	0	((+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2)))) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (/ (* (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (exp a)) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (- (exp b) (exp a)) (exp b)) (pow (exp a) 2)) (- (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (pow (+ (exp b) 1) 3) (pow (exp a) 3))

simplify184.0ms (3%)

Memory

-21.0MiB live, 295.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	611	8843
1	1953	8543
2	6734	8468
0	8079	7895

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 442

Calls

Call 1

Inputs
(+ 1/2 (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) 1/4))))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (+ (* a (* b (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a))))) (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a))))) 1/4))))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (+ (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) (* b (+ (* a (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a)))) (* b (+ 1/48 (* a (- (+ 1/48 (+ (* -1 (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))) (+ (* -3/16 (+ 1 (* 3/2 a))) (* 5/48 (+ 1 (* 3/2 a))))))) (+ (* -3/2 (+ (* -9/32 a) (* 3/16 a))) (+ (* -9/32 a) (* 9/64 a)))))))))) 1/4))))
(+ (* -1/4 (+ 1 (* 3/2 a))) (* 1/8 a))
(+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* b (- (* 1/4 (+ 1 (* 3/2 a))) (* 3/16 a)))))
(+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* b (- (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (- (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a)))) (+ (* -9/32 a) (* 3/16 a))))) (* 3/16 a)))))
(+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* b (- (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (- (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 3/16 (+ 1 (* 3/2 a))) (* b (- (+ (* -1 (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -3/16 (+ 1 (* 3/2 a))) (* 5/48 (+ 1 (* 3/2 a))))) (+ (* -3/2 (+ (* -9/32 a) (* 3/16 a))) (+ (* -9/32 a) (* 9/64 a))))))) (+ (* -9/32 a) (* 3/16 a))))) (* 3/16 a)))))
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(* -1/4 (+ 1 (* 3/2 a)))
(+ (* -1/4 (+ 1 (* 3/2 a))) (* 1/4 (* b (+ 1 (* 3/2 a)))))
(+ (* -1/4 (+ 1 (* 3/2 a))) (* b (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))))))
(+ (* -1/4 (+ 1 (* 3/2 a))) (* b (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 3/16 (+ 1 (* 3/2 a))) (* b (+ (* -1 (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -3/16 (+ 1 (* 3/2 a))) (* 5/48 (+ 1 (* 3/2 a))))))))))))
(/ (exp a) (+ 1 (exp a)))
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(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
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)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(/ (exp a) (+ 1 (exp a)))
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(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 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)))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
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(/ (exp a) (+ 1 (exp a)))
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(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (exp a))
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(* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a)))
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(+ (* b (+ (* b (* (exp a) (+ 3/2 (* 1/2 (- 1 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))))
(+ (* b (+ (* b (+ (* b (* (exp a) (+ 7/6 (* 1/6 (- 1 (exp a)))))) (* (exp a) (+ 3/2 (* 1/2 (- 1 (exp a))))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))))
(/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3)))
(+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))
(+ (* b (- (+ (* b (- (/ (* (exp a) (+ 3/2 (* 1/2 (- 1 (exp a))))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))
(+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (+ 7/6 (* 1/6 (- 1 (exp a))))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (+ 3/2 (* 1/2 (- 1 (exp a))))) (+ 1 (pow (exp a) 3))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (+ 1 (pow (exp a) 3)))) (+ (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))))))) (/ (* (exp a) (+ 3/2 (* 1/2 (- 1 (exp a))))) (+ 1 (pow (exp a) 3)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))) (+ 1 (pow (exp a) 3)))) (* 9/2 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (pow (exp a) 3)))) (* 3 (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (pow (+ 1 (pow (exp a) 3)) 2))))) (/ (* (exp a) (- (+ 1 (pow (exp a) 2)) (exp a))) (+ 1 (pow (exp a) 3))))
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(/ (exp a) (+ 1 (exp a)))
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8
(+ 8 (* 12 b))
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(* -1 (* a (- (+ (* -1 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) a)) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))))
(* -3/2 (/ a (pow (+ 1 (exp b)) 2)))
(* -1 (* a (+ (/ 1 (* a (pow (+ 1 (exp b)) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))
(* -1 (* a (+ (/ 1 (* a (pow (+ 1 (exp b)) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))
(* -1 (* a (+ (/ 1 (* a (pow (+ 1 (exp b)) 2))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)))
(* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)))
(* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)))
(* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)))
(/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3)))
(/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3)))
(/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3)))
(/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3)))
(+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))
(+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))
(+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))
(+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))
(- (exp b) (exp a))
(- (exp b) (exp a))
(- (exp b) (exp a))
(- (exp b) (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)))
(pow (exp a) 3)
(pow (exp a) 3)
(pow (exp a) 3)
(pow (exp a) 3)

Outputs
(+ 1/2 (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) 1/4))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) a (-.f64 (fma.f64 #s(literal -3/16 binary64) a (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64))) #s(literal 1/4 binary64))) a #s(literal -1/4 binary64)) b (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (+ (* a (* b (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a))))) (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a))))) 1/4))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal 3/32 binary64) (.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)))) b (fma.f64 #s(literal -1/8 binary64) a (-.f64 (fma.f64 #s(literal -3/16 binary64) a (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64))) #s(literal 1/4 binary64)))) a #s(literal -1/4 binary64)) b (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (+ (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) (* b (+ (* a (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a)))) (* b (+ 1/48 (* a (- (+ 1/48 (+ (* -1 (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))) (+ (* -3/16 (+ 1 (* 3/2 a))) (* 5/48 (+ 1 (* 3/2 a))))))) (+ (* -3/2 (+ (* -9/32 a) (* 3/16 a))) (+ (* -9/32 a) (* 9/64 a)))))))))) 1/4))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 a #s(literal 3/32 binary64) (.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)))) a (.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)) (.f64 a #s(literal 1/96 binary64)))) #s(literal 1/48 binary64)) (fma.f64 #s(literal -9/64 binary64) a (.f64 #s(literal 9/64 binary64) a))) a #s(literal 1/48 binary64)) b)) b (fma.f64 (fma.f64 #s(literal -1/8 binary64) a (-.f64 (fma.f64 #s(literal -3/16 binary64) a (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64))) #s(literal 1/4 binary64))) a #s(literal -1/4 binary64))) b (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))
(+ (* -1/4 (+ 1 (* 3/2 a))) (* 1/8 a))
(fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -3/8 binary64) a #s(literal -1/4 binary64)))
(+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* b (- (* 1/4 (+ 1 (* 3/2 a))) (* 3/16 a)))))
(fma.f64 (fma.f64 #s(literal -3/16 binary64) a (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64))) b (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -3/8 binary64) a #s(literal -1/4 binary64))))
(+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* b (- (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (- (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a)))) (+ (* -9/32 a) (* 3/16 a))))) (* 3/16 a)))))
(fma.f64 (fma.f64 (fma.f64 a #s(literal 3/32 binary64) (*.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)))) b (fma.f64 #s(literal -3/16 binary64) a (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64)))) b (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -3/8 binary64) a #s(literal -1/4 binary64))))
(+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* b (- (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (- (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 3/16 (+ 1 (* 3/2 a))) (* b (- (+ (* -1 (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -3/16 (+ 1 (* 3/2 a))) (* 5/48 (+ 1 (* 3/2 a))))) (+ (* -3/2 (+ (* -9/32 a) (* 3/16 a))) (+ (* -9/32 a) (* 9/64 a))))))) (+ (* -9/32 a) (* 3/16 a))))) (* 3/16 a)))))
(fma.f64 (fma.f64 (fma.f64 a #s(literal 3/32 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)) #s(literal 1/16 binary64))) (fma.f64 #s(literal -9/64 binary64) a (.f64 #s(literal 9/64 binary64) a))) b (*.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64))))) b (fma.f64 #s(literal -3/16 binary64) a (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64)))) b (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -3/8 binary64) a #s(literal -1/4 binary64))))
(+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))
(fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a)))
(+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (+ (* 1/4 a) (* b (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a))))))))
(+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) (fma.f64 #s(literal 3/8 binary64) a (.f64 (fma.f64 #s(literal -1/8 binary64) a (-.f64 (fma.f64 #s(literal -3/16 binary64) a (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64))) #s(literal 1/4 binary64))) b)))
(+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (+ (* 1/4 a) (* b (- (+ (* -1/8 a) (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a)))))) (+ 1/4 (* 3/16 a))))))))
(+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) (fma.f64 #s(literal 3/8 binary64) a (.f64 (fma.f64 (fma.f64 a #s(literal 3/32 binary64) (*.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)))) b (fma.f64 #s(literal -1/8 binary64) a (-.f64 (fma.f64 #s(literal -3/16 binary64) a (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64))) #s(literal 1/4 binary64)))) b)))
(+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (+ (* 1/4 a) (* b (- (+ (* -1/8 a) (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 3/16 (+ 1 (* 3/2 a))) (* b (- (+ 1/48 (+ (* -1 (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))) (+ (* -3/16 (+ 1 (* 3/2 a))) (* 5/48 (+ 1 (* 3/2 a))))))) (+ (* -3/2 (+ (* -9/32 a) (* 3/16 a))) (+ (* -9/32 a) (* 9/64 a)))))))) (+ (* -9/32 a) (* 3/16 a)))))) (+ 1/4 (* 3/16 a))))))))
(+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) (fma.f64 #s(literal 3/8 binary64) a (.f64 (-.f64 (fma.f64 (fma.f64 a #s(literal 3/32 binary64) (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)) (.f64 a #s(literal 1/96 binary64)))) #s(literal 1/48 binary64)) (fma.f64 #s(literal -9/64 binary64) a (.f64 #s(literal 9/64 binary64) a))) b (*.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64))))) b (fma.f64 #s(literal -1/8 binary64) a (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64)))) (fma.f64 #s(literal 3/16 binary64) a #s(literal 1/4 binary64))) b)))
(* -1/4 (+ 1 (* 3/2 a)))
(fma.f64 #s(literal -3/8 binary64) a #s(literal -1/4 binary64))
(+ (* -1/4 (+ 1 (* 3/2 a))) (* 1/4 (* b (+ 1 (* 3/2 a)))))
(*.f64 (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)) (fma.f64 b #s(literal 1/4 binary64) #s(literal -1/4 binary64)))
(+ (* -1/4 (+ 1 (* 3/2 a))) (* b (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))))))
(fma.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64))) b (fma.f64 #s(literal -3/8 binary64) a #s(literal -1/4 binary64)))
(+ (* -1/4 (+ 1 (* 3/2 a))) (* b (+ (* 1/4 (+ 1 (* 3/2 a))) (* b (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 3/16 (+ 1 (* 3/2 a))) (* b (+ (* -1 (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -3/16 (+ 1 (* 3/2 a))) (* 5/48 (+ 1 (* 3/2 a))))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)) #s(literal 1/16 binary64))) b (.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)))) b (fma.f64 #s(literal 3/8 binary64) a #s(literal 1/4 binary64))) b (fma.f64 #s(literal -3/8 binary64) a #s(literal -1/4 binary64)))
(/ (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))))
(fma.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 (neg.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.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 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal 1/6 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (.f64 (exp.f64 a) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (.f64 (exp.f64 a) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #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 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #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
#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 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))))
(fma.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 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 (neg.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.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 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal 1/6 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (.f64 (exp.f64 a) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (-.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (.f64 (exp.f64 a) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
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1
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1
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1
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(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(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 a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) 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) (- (exp b) (exp a))) (pow (exp a) 2)))
(fma.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
(* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)))
(fma.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
(* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)))
(fma.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
(* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2)))
(fma.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))
(/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3)))
(/.f64 (fma.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3)))
(/.f64 (fma.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3)))
(/.f64 (fma.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(/ (* (exp a) (+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))) (+ (pow (exp a) 3) (pow (exp b) 3)))
(/.f64 (fma.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))
(fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))
(fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))
(fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(+ (* (exp b) (- (exp b) (exp a))) (pow (exp a) 2))
(fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(- (exp b) (exp a))
(-.f64 (exp.f64 b) (exp.f64 a))
(- (exp b) (exp a))
(-.f64 (exp.f64 b) (exp.f64 a))
(- (exp b) (exp a))
(-.f64 (exp.f64 b) (exp.f64 a))
(- (exp b) (exp a))
(-.f64 (exp.f64 b) (exp.f64 a))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow (exp a) 3)
(pow.f64 (exp.f64 a) #s(literal 3 binary64))
(pow (exp a) 3)
(pow.f64 (exp.f64 a) #s(literal 3 binary64))
(pow (exp a) 3)
(pow.f64 (exp.f64 a) #s(literal 3 binary64))
(pow (exp a) 3)
(pow.f64 (exp.f64 a) #s(literal 3 binary64))

rewrite186.0ms (3.1%)

Memory

16.6MiB live, 336.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	302
0	76	299
1	321	277
2	2706	277
0	8519	266

Stop Event

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

Counts

23 → 784

Calls

Call 1

Inputs
(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))))
(+.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)))))
(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))))))
(*.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))))
#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 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 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
(+.f64 (exp.f64 a) (exp.f64 b))
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a))
(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))
(fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(-.f64 (exp.f64 b) (exp.f64 a))
#s(approx (/ (exp a) (+ (exp a) (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)))))
(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (exp.f64 a) #s(literal 3 binary64))

Outputs
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eval263.0ms (4.3%)

Memory: 10.5MiB live, 558.0MiB allocated
Compiler: Compiled 65 169 to 5 436 computations (91.7% saved)

prune35.0ms (0.6%)

Memory

7.2MiB live, 124.7MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 757	9	1 766
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 760	11	1 771

Accuracy

99.8%

Counts

1 771 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	62.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶	81.9%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)))
✓	81.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	55.7%	#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)))))
	49.3%	#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)))))
▶	35.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	34.4%	#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))))
	35.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶	37.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
▶	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))

Compiler

Compiled 185 to 174 computations (5.9% saved)

simplify168.0ms (2.8%)

Memory

-13.9MiB live, 260.5MiB 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	#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
cost-diff	128	(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))
cost-diff	768	(fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a)))
cost-diff	0	(+.f64 #s(literal 2 binary64) b)
cost-diff	0	#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
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	(+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))
cost-diff	0	(+.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
cost-diff	0	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	347
0	75	354
1	115	350
2	221	333
3	733	309
4	1906	305
5	4122	301
6	5637	301
7	6760	301
0	8794	292

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))
(exp.f64 b)
b
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a)))
#s(literal 3/8 binary64)
a
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))
#s(literal 1/4 binary64)
(*.f64 #s(literal -3/8 binary64) a)
#s(literal -3/8 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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 b) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))
(+.f64 (exp.f64 b) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
(exp.f64 b)
b
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a)))
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
a
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))
(fma.f64 #s(literal -3/8 binary64) a #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal -3/8 binary64) a)
#s(literal -3/8 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)

localize154.0ms (2.5%)

Memory

8.5MiB live, 387.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(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	0.15625	(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy	11.89824805186704	#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	16.220870143321044	#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	(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))
accuracy	10.830232091822237	(fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a)))
accuracy	11.72038634935056	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
accuracy	30.15411938858343	#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))
accuracy	0	(+.f64 #s(literal 2 binary64) b)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
accuracy	11.89824805186704	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
accuracy	25.71728389694362	#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
accuracy	11.89824805186704	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy	24.12631794245128	#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy	0	(exp.f64 b)
accuracy	0.0078125	(+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))
accuracy	0.2578152510508252	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)))
accuracy	12.756381175835163	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))

Samples

71.0ms	196×	0	valid
48.0ms	42×	1	valid
7.0ms	18×	1	exit

Compiler

Compiled 202 to 48 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 27.0ms (25.9% of total)

ival-div: 25.0ms (24% of total)

ival-add: 20.0ms (19.2% of total)

ival-exp: 11.0ms (10.6% of total)

adjust: 6.0ms (5.8% of total)

ival-pow: 6.0ms (5.8% of total)

const: 4.0ms (3.8% of total)

ival-pow2: 3.0ms (2.9% of total)

exact: 1.0ms (1% of total)

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

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

series28.0ms (0.5%)

Memory

-5.9MiB live, 74.6MiB allocated

Counts

20 → 324

Calls

Call 1

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

Outputs
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#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 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#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 (+ (* 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 #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 (+ (* 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 #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 1/2 (taylor 0 b) (#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 (+ 1/2 (* -1/4 b)) (taylor 0 b) (#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 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (taylor 0 b) (#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 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) (taylor 0 b) (#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 (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) 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 #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) 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 #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 b) (#s(alt #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) (patch #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ 2 b) (taylor 0 b) (#s(alt #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) (patch #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) (patch #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) (patch #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 b) (#s(alt (+.f64 #s(literal 2 binary64) b) (patch (+.f64 #s(literal 2 binary64) b) #<representation binary64>) () ())) ())
#s(alt (+ 2 b) (taylor 0 b) (#s(alt (+.f64 #s(literal 2 binary64) b) (patch (+.f64 #s(literal 2 binary64) b) #<representation binary64>) () ())) ())
#s(alt (+ 2 b) (taylor 0 b) (#s(alt (+.f64 #s(literal 2 binary64) b) (patch (+.f64 #s(literal 2 binary64) b) #<representation binary64>) () ())) ())
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#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))) #<representation binary64>) () ())) ())
#s(alt 1/4 (taylor -inf a) (#s(alt (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) (patch (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) #<representation binary64>) () ())) ())
#s(alt 1/4 (taylor -inf a) (#s(alt (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) (patch (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) #<representation binary64>) () ())) ())
#s(alt 1/4 (taylor -inf a) (#s(alt (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) (patch (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) #<representation binary64>) () ())) ())
#s(alt 1/4 (taylor -inf a) (#s(alt (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) (patch (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 a) (taylor -inf a) (#s(alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) (patch (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- 3/8 (* 1/4 (/ 1 a))))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) (patch (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- 3/8 (* 1/4 (/ 1 a))))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) (patch (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- 3/8 (* 1/4 (/ 1 a))))) (taylor -inf a) (#s(alt (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) (patch (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 2) (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3)))))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))) (patch #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (/ 1 (* a (+ 1 (exp b))))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))) (patch #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (* -1 (/ (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))) (patch #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (* -1 (/ (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))) a)))) (taylor -inf a) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))) (patch #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (+ 1/4 (* -3/8 a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (exp b) (+ (* 1/6 b) 1/2))
3.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (+ 1/4 (* -3/8 a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (exp b) (+ (* 1/6 b) 1/2))
2.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (+ 1/4 (* -3/8 a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (exp b) (+ (* 1/6 b) 1/2))
1.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (+ 1/4 (* -3/8 a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (exp b) (+ (* 1/6 b) 1/2))
1.0ms	a	@	0	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (+ 1/4 (* -3/8 a)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (exp b) (+ (* 1/6 b) 1/2))

simplify159.0ms (2.6%)

Memory

15.7MiB live, 335.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	4542
1	928	4414
2	3125	4252
0	8418	4078

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 320

Calls

Call 1

Inputs
(/ (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))))
(+ 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) (+ 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))))
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)))
(/ (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))))
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)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
2
(+ 2 b)
(+ 2 b)
(+ 2 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))))
(+ 1/2 (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) 1/4))))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (+ (* a (* b (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a))))) (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a))))) 1/4))))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (+ (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) (* b (+ (* a (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a)))) (* b (+ 1/48 (* a (- (+ 1/48 (+ (* -1 (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))) (+ (* -3/16 (+ 1 (* 3/2 a))) (* 5/48 (+ 1 (* 3/2 a))))))) (+ (* -3/2 (+ (* -9/32 a) (* 3/16 a))) (+ (* -9/32 a) (* 9/64 a)))))))))) 1/4))))
(/ (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))))
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)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (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 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp 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)))))))
(exp b)
(exp b)
(exp b)
(exp 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))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (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 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(* 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)))
(exp b)
(exp b)
(exp b)
(exp 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 (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))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1
(+ 1 a)
(+ 1 a)
(+ 1 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)))))))
(/ 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))))
(/ 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))))
1/4
1/4
1/4
1/4
1/4
(+ 1/4 (* -3/8 a))
(+ 1/4 (* -3/8 a))
(+ 1/4 (* -3/8 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))))
(/ 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)))) (/ 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))))
(/ 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 a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/4
1/4
1/4
1/4
(* -3/8 a)
(* a (- (* 1/4 (/ 1 a)) 3/8))
(* a (- (* 1/4 (/ 1 a)) 3/8))
(* a (- (* 1/4 (/ 1 a)) 3/8))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (+ (/ 1 (* (pow a 2) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (+ (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (+ (/ 1 (* (pow a 2) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (+ (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/4
1/4
1/4
1/4
(* -3/8 a)
(* -1 (* a (- 3/8 (* 1/4 (/ 1 a)))))
(* -1 (* a (- 3/8 (* 1/4 (/ 1 a)))))
(* -1 (* a (- 3/8 (* 1/4 (/ 1 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)))
(* -1 (* (pow a 2) (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))))
(* (pow a 2) (- (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (/ 1 (* a (+ 1 (exp b))))) (/ 1 (* a (pow (+ 1 (exp b)) 2)))))
(* (pow a 2) (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (* -1 (/ (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))) a))))
(* (pow a 2) (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (* -1 (/ (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))) 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)))

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

rewrite148.0ms (2.5%)

Memory

-11.9MiB live, 306.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	309
0	75	305
1	355	303
2	3086	303
0	8327	285

Stop Event

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

Counts

20 → 265

Calls

Call 1

Inputs
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
(+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))
#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(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
(fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a)))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) 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 (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))
(exp.f64 b)
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))

Outputs
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eval76.0ms (1.3%)

Memory: -12.0MiB live, 222.9MiB allocated
Compiler: Compiled 11 716 to 1 590 computations (86.4% saved)

prune33.0ms (0.5%)

Memory

0.1MiB live, 126.6MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	621	11	632
Fresh	1	3	4
Picked	2	3	5
Done	0	2	2
Total	624	19	643

Accuracy

99.8%

Counts

643 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	62.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶	88.3%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
	56.3%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))
	38.2%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
✓	81.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓	55.7%	#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)))))
▶	55.7%	#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)))))
	55.7%	#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)))))
	55.4%	#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) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	49.3%	#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)))))
✓	35.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
▶	23.8%	#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
	23.5%	#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 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #s(literal 1/2 binary64)))))))
▶	34.4%	#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))))
	35.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	37.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
	37.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
▶	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))

Compiler

Compiled 441 to 367 computations (16.8% saved)

simplify170.0ms (2.8%)

Memory

20.9MiB live, 299.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))
cost-diff	0	#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))))
cost-diff	0	#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
cost-diff	0	(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #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 b b) #s(literal 1/48 binary64) #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 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
cost-diff	0	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
cost-diff	128	(-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	598
0	109	598
1	173	594
2	306	576
3	863	556
4	2034	552
5	4276	548
6	6151	548
0	8052	528

Stop Event

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

Calls

Call 1

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

localize190.0ms (3.1%)

Memory

4.9MiB live, 525.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))
accuracy	11.89824805186704	#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	13.148047203059285	(/.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	16.220870143321044	#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	0.15625	(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy	11.89824805186704	#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
accuracy	16.220870143321044	#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))
accuracy	32.293750524867896	#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))
accuracy	0.046875	(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy	0.07421875	(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
accuracy	11.89824805186704	#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))))
accuracy	25.891181168978772	#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)))
accuracy	0	(fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))
accuracy	0	#s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64))
accuracy	11.72038634935056	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
accuracy	30.15411938858343	#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
accuracy	0.2578152510508252	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
accuracy	6.01633998118071	(/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64)))
accuracy	12.756381175835163	#s(approx (exp a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64)))))
accuracy	12.756381175835163	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))

Samples

94.0ms	196×	0	valid
44.0ms	42×	1	valid
12.0ms	18×	1	exit

Compiler

Compiled 318 to 70 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 31.0ms (25.7% of total)

ival-add: 31.0ms (25.7% of total)

ival-div: 15.0ms (12.4% of total)

const: 11.0ms (9.1% of total)

ival-exp: 10.0ms (8.3% of total)

adjust: 9.0ms (7.5% of total)

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

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

ival-sub: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series45.0ms (0.7%)

Memory

-21.6MiB live, 98.4MiB allocated

Counts

25 → 372

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64)))) (patch (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (patch #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) a) (patch (+.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) (patch #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (patch (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))))) (patch #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))) (patch #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))) (patch #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))) #<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 a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (patch #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (patch (/.f64 (.f64 a a) (-.f64 a #s(literal 1 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>) () ())
#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 (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (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 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b))) (patch (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b))) #<representation binary64>) () ())) ())
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#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (patch #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (patch #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (patch #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (patch #s(approx (exp a) (-.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (patch (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (patch (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ 1 (/ 1 a)) a)) 1))) (taylor -inf a) (#s(alt (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (patch (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ 1 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1))) (taylor -inf a) (#s(alt (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) (patch (/.f64 (.f64 a a) (-.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	b	@	inf	((- (/ (* a a) (- a 1)) (/ 1 (- a 1))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (exp a) (/ (* a a) (- a 1)) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))
4.0ms	b	@	0	((- (/ (* a a) (- a 1)) (/ 1 (- a 1))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (exp a) (/ (* a a) (- a 1)) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))
4.0ms	b	@	-inf	((- (/ (* a a) (- a 1)) (/ 1 (- a 1))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (exp a) (/ (* a a) (- a 1)) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))
3.0ms	a	@	-inf	((- (/ (* a a) (- a 1)) (/ 1 (- a 1))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (exp a) (/ (* a a) (- a 1)) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))
2.0ms	a	@	inf	((- (/ (* a a) (- a 1)) (/ 1 (- a 1))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (/ (exp a) (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) b) 1) b) 2) (exp a) (/ (* a a) (- a 1)) (+ (* 1/6 b) 1/2) (/ (+ (* 1/36 (* b b)) -1/4) (+ (* 1/6 b) -1/2)) (+ (* 1/6 b) -1/2))

simplify173.0ms (2.9%)

Memory

-10.1MiB live, 314.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	5047
1	1010	4879
2	3412	4654
0	8652	4433

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 366

Calls

Call 1

Inputs
(/ (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) (+ 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))))
(+ 1/2 (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) 1/4))))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (+ (* a (* b (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a))))) (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a))))) 1/4))))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (+ (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) (* b (+ (* a (- (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -9/32 a) (* 3/16 a)))) (* b (+ 1/48 (* a (- (+ 1/48 (+ (* -1 (+ (* -1/4 (+ 1 (* 3/2 a))) (* 3/16 (+ 1 (* 3/2 a))))) (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))) (+ (* -3/16 (+ 1 (* 3/2 a))) (* 5/48 (+ 1 (* 3/2 a))))))) (+ (* -3/2 (+ (* -9/32 a) (* 3/16 a))) (+ (* -9/32 a) (* 9/64 a)))))))))) 1/4))))
(/ (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))))
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)))
1/2
(+ 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)))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(/ (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))))
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)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 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))))
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)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
-1/2
(- (* 1/6 b) 1/2)
(- (* 1/6 b) 1/2)
(- (* 1/6 b) 1/2)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(* 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 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)))))
(/ (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 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp 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)))))))
(/ (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 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp 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 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))))
(* 1/6 b)
(* b (- 1/6 (* 1/2 (/ 1 b))))
(* b (- 1/6 (* 1/2 (/ 1 b))))
(* b (- 1/6 (* 1/2 (/ 1 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 1 (+ 1 (exp b))))
(+ (* a (+ (* -1 (/ (+ 1 (* 3/2 a)) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (+ (/ 1 (+ 1 (exp b))) (/ a (pow (+ 1 (exp b)) 3)))))) (/ 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)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(* 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))))))
(* 1/48 (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)))))
(/ (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 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(* 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)))
(/ (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 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(* 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)))
(* 1/6 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))))
(* 1/6 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)))
1
(+ 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))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1
(+ 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))))
(/ 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)))) (/ 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))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
1/4
1/4
1/4
1/4
(/ 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))))
(/ 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))))
(/ 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))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(* -1 (pow a 2))
(* (pow a 2) (- (* -1 a) 1))
(* (pow a 2) (- (* a (- (* -1 a) 1)) 1))
(* (pow a 2) (- (* a (- (* a (- (* -1 a) 1)) 1)) 1))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 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 a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 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)))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (+ (/ 1 (* (pow a 2) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (+ (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (+ (/ 1 (* (pow a 2) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (+ (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
1/4
1/4
1/4
1/4
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* a (+ 1 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 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 a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 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)))
(* -1 (* (pow a 2) (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))))
(* (pow a 2) (- (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (/ 1 (* a (+ 1 (exp b))))) (/ 1 (* a (pow (+ 1 (exp b)) 2)))))
(* (pow a 2) (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (* -1 (/ (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))) a))))
(* (pow a 2) (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (* -1 (/ (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))) a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
1/4
1/4
1/4
1/4
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(exp a)
(exp a)
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* -1 (* a (- (* -1 (/ (+ 1 (/ 1 a)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1)))

Outputs
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64)))) b))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64)))) b))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1/2 (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (+ (* a (+ 1/2 (+ (* -1/4 (+ 1 (* 3/2 a))) (+ (* 1/8 a) (* 1/4 a))))) (* b (- (* a (- (+ (* -1/8 a) (* 1/4 (+ 1 (* 3/2 a)))) (+ 1/4 (* 3/16 a)))) 1/4))))
(fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) a)) (fma.f64 #s(literal 3/16 binary64) a #s(literal 1/4 binary64))) a #s(literal -1/4 binary64)) b (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
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(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) a (.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal 3/2 binary64) a #s(literal 1 binary64)))) b (-.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) a)) (fma.f64 #s(literal 3/16 binary64) a #s(literal 1/4 binary64)))) a #s(literal -1/4 binary64)) b (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
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(fma.f64 (fma.f64 (-.f64 (fma.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 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2/3 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)))))) a (+.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) (+.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
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 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))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(/ 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 (/.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)))) (/ 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) (+.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 (-.f64 (fma.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 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2/3 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)))))) a (+.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) (+.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 (+ 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 (/.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)))) (/ 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) (+.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)))) (/ 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) (+.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))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 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))))
(fma.f64 (-.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)))) (/ 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) (+.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 (-.f64 (fma.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 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2/3 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)))))) a (+.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) (+.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 (+ 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 (/.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)))) (/ 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) (+.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 (-.f64 (fma.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 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2/3 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)))))) a (+.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) (+.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 (+ 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 (/.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)))) (/ 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) (+.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 (-.f64 (fma.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 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2/3 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)))))) a (+.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) (+.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
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 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))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (* -1 a) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) a) a) a)
(* (pow a 2) (- (* a (- (* -1 a) 1)) 1))
(.f64 (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) a) a #s(literal -1 binary64)) a) a)
(* (pow a 2) (- (* a (- (* a (- (* -1 a) 1)) 1)) 1))
(.f64 (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) a) a #s(literal -1 binary64)) a #s(literal -1 binary64)) a) a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2)))))
(.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)))) (.f64 a a))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (-.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 (/.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))))) (.f64 a a))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (+ (/ 1 (* (pow a 2) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (+ (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) a a)) a) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))))) (/.f64 (-.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 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (.f64 a a))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (+ (/ 1 (* (pow a 2) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (+ (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (* a (pow (+ 1 (exp b)) 2))))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) a a)) a) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))))) (/.f64 (-.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 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (.f64 a a))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (+ (/ 1 a) (/ 1 (pow a 2)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) a (+.f64 #s(literal 1 binary64) a))
(* a (+ 1 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a (+.f64 #s(literal 1 binary64) a))
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(* -1 (* (pow a 2) (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))))
(.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)))) (.f64 a a))
(* (pow a 2) (- (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (/ 1 (* a (+ 1 (exp b))))) (/ 1 (* a (pow (+ 1 (exp b)) 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (-.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 (/.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))))) (.f64 a a))
(* (pow a 2) (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (* -1 (/ (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))) a))))
(.f64 (-.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)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 b) a 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 a a))
(* (pow a 2) (+ (* -1 (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))))) (* -1 (/ (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))) a))))
(.f64 (-.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)))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 b) a 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 a a))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
1/4
#s(literal 1/4 binary64)
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(* -1 (* a (- (* -1 (/ (+ 1 (/ 1 a)) a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) (/.f64 #s(literal 1 binary64) a)) a)) (neg.f64 a))

rewrite158.0ms (2.6%)

Memory

30.2MiB live, 347.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	508
0	109	485
1	510	429
2	4611	429
0	8900	407

Stop Event

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

Counts

25 → 399

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))
#s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 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 b b) #s(literal 1/48 binary64) #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 b b) #s(literal 1/48 binary64) #s(literal -1/4 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))))
#s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))
#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 a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64)))))
(/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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
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eval104.0ms (1.7%)

Memory: -2.5MiB live, 275.8MiB allocated
Compiler: Compiled 16 646 to 2 227 computations (86.6% saved)

prune34.0ms (0.6%)

Memory

0.3MiB live, 119.5MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	754	11	765
Fresh	5	4	9
Picked	2	3	5
Done	0	5	5
Total	761	23	784

Accuracy

99.8%

Counts

784 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	62.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	39.1%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 #s(approx (/ (* a a) (- a 1)) (+.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
	56.3%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))
	38.2%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
✓	81.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓	55.7%	#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)))))
	55.1%	#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) (*.f64 #s(literal 1/6 binary64) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	56.0%	#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)) #s(approx (+ ( 1/6 b) -1/2) #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	55.4%	#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)) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	49.3%	#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)))))
✓	35.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	23.5%	#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 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b #s(literal 1/2 binary64)))))))
✓	23.8%	#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
	23.2%	#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
	17.4%	#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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 b b))))))
✓	34.4%	#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))))
	35.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	13.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
✓	37.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
	37.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
✓	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
	3.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))

Compiler

Compiled 782 to 450 computations (42.5% saved)

regimes52.0ms (0.9%)

Memory

-31.3MiB live, 172.0MiB allocated

Counts

37 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) 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 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))
#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)))))
#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 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b #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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) (*.f64 #s(literal 1/6 binary64) b))) 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 (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #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 (/.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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 #s(approx (/ (* a a) (- a 1)) (+.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (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)))))
(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes46.0ms (0.8%)

Memory

16.8MiB live, 135.6MiB allocated

Counts

34 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) 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 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))
#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)))))
#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 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b #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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) (*.f64 #s(literal 1/6 binary64) b))) 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 (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #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 (/.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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 #s(approx (/ (* a a) (- a 1)) (+.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs

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

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

Calls

5 calls:

10.0ms	a
10.0ms	b
8.0ms	(exp.f64 a)
8.0ms	(exp.f64 b)
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
99.7%	2	`a`
99.2%	3	`b`
88.3%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.7%	2	`(exp.f64 a)`
99.2%	3	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes19.0ms (0.3%)

Memory

8.9MiB live, 49.8MiB allocated

Counts

32 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) 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 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))
#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)))))
#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 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b #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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) (*.f64 #s(literal 1/6 binary64) b))) 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 (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #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 (/.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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b)))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 #s(approx (/ (* a a) (- a 1)) (+.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) (exp.f64 b)))

Outputs

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

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

Calls

2 calls:

10.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.4%	2	`a`
99.4%	2	`(exp.f64 a)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes18.0ms (0.3%)

Memory

10.4MiB live, 49.8MiB allocated

Counts

29 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) 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 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))
#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)))))
#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 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b #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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) (*.f64 #s(literal 1/6 binary64) b))) 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 (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #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 (/.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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 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

2 calls:

9.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.9%	2	`a`
98.9%	2	`(exp.f64 a)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes40.0ms (0.7%)

Memory

-16.7MiB live, 105.5MiB allocated

Counts

28 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) 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 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))
#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)))))
#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 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b #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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) (*.f64 #s(literal 1/6 binary64) b))) 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 (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #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 (/.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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 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:

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

Results

Accuracy	Segments	Branch
81.4%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
81.4%	1	`b`
81.4%	1	`(exp.f64 b)`
85.5%	2	`a`
84.5%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes39.0ms (0.6%)

Memory

3.7MiB live, 122.4MiB allocated

Counts

27 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) 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 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))
#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)))))
#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 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b #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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) (*.f64 #s(literal 1/6 binary64) b))) 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 (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #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 (/.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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
59.5%	2	`b`
59.5%	2	`(exp.f64 b)`
59.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
60.5%	2	`(exp.f64 a)`
61.5%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes23.0ms (0.4%)

Memory

2.7MiB live, 83.6MiB allocated

Counts

26 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) 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 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))
#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)))))
#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 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b #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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 b) -1/2) (*.f64 #s(literal 1/6 binary64) b))) 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 (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) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 b b) (fma.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) b #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 (/.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)))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
56.3%	1	`(exp.f64 a)`
56.3%	1	`a`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes18.0ms (0.3%)

Memory

-22.7MiB live, 56.4MiB allocated

Counts

20 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) 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 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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)))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.4%	2	`(exp.f64 b)`
59.4%	2	`b`
59.4%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes17.0ms (0.3%)

Memory

8.8MiB live, 49.8MiB allocated

Counts

19 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) 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 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.1%	2	`b`
59.1%	2	`(exp.f64 b)`
59.1%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes16.0ms (0.3%)

Memory

2.3MiB live, 41.8MiB allocated

Counts

18 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))
#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b))))))
#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) (*.f64 #s(literal 1/6 binary64) b)) 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)) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))

Outputs

#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) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))

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

Calls

3 calls:

6.0ms	b
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
59.0%	2	`(exp.f64 b)`
59.0%	2	`b`
59.0%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes15.0ms (0.2%)

Memory

-6.8MiB live, 32.9MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.7%	2	`(exp.f64 b)`
58.7%	2	`b`
58.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes10.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

15 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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)))))
#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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b))))))

Outputs

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

Calls

2 calls:

5.0ms	b
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
58.7%	2	`b`
58.7%	2	`(exp.f64 b)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes23.0ms (0.4%)

Memory

-1.5MiB live, 37.3MiB allocated

Counts

14 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 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)))))
#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

#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)))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
49.3%	1	`a`
49.3%	1	`(exp.f64 a)`
52.6%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
52.6%	2	`b`
52.6%	2	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.2%)

Memory

-20.4MiB live, 19.6MiB allocated

Counts

11 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 b b))))))

Outputs

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

Calls

3 calls:

6.0ms	(exp.f64 b)
4.0ms	b
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
52.2%	2	`(exp.f64 b)`
52.2%	2	`b`
52.0%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes17.0ms (0.3%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

10 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
38.2%	1	`a`
38.2%	1	`(exp.f64 a)`
38.2%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
38.2%	1	`b`
38.2%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes18.0ms (0.3%)

Memory

-9.4MiB live, 29.0MiB 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
37.9%	1	`a`
37.9%	1	`(exp.f64 a)`
37.9%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
37.9%	1	`b`
37.9%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes17.0ms (0.3%)

Memory

-12.2MiB live, 26.3MiB 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 1/2) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #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 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(approx (+ 1/4 (* -3/8 a)) (*.f64 #s(literal -3/8 binary64) a))) a #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))))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))

Calls

5 calls:

5.0ms	(exp.f64 a)
3.0ms	a
3.0ms	b
2.0ms	(exp.f64 b)
2.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
37.9%	1	`a`
37.9%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
37.9%	1	`(exp.f64 a)`
37.9%	1	`b`
37.9%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory

15.6MiB live, 15.5MiB allocated

Accuracy

Total -22.0b remaining (-55%)

Threshold costs -22b (-55%)

Counts

2 → 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 (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) #s(approx (+ (* (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) a) 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	a
2.0ms	b
1.0ms	(exp.f64 a)
1.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
37.6%	1	`a`
37.6%	1	`(exp.f64 a)`
37.6%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
37.6%	1	`b`
37.6%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.774526620383391e-129	0.49046440457555496

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.774526620383391e-129	0.49046440457555496

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.774526620383391e-129	0.49046440457555496

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch22.0ms (0.4%)

Memory

-8.6MiB live, 29.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-4.8037950059114385e+44	-4.035568037826492e+37

Samples

10.0ms	144×	0	valid
2.0ms	45×	0	exit

Compiler

Compiled 146 to 173 computations (-18.5% saved)

Precisions

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

ival-exp: 3.0ms (59.2% of total)

ival-div: 1.0ms (19.7% of total)

ival-add: 1.0ms (19.7% of total)

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

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

bsearch11.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-4.8037950059114385e+44	-4.035568037826492e+37

Samples

4.0ms	80×	0	valid
1.0ms	13×	0	exit

Compiler

Compiled 272 to 227 computations (16.5% saved)

Precisions

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

ival-div: 1.0ms (38.9% of total)

ival-exp: 1.0ms (38.9% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.49999994874266956	0.4999999982063463

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5000905931675143	1.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.49999994874266956	0.4999999982063463

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.49999994874266956	0.4999999982063463

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch20.0ms (0.3%)

Memory

-20.4MiB live, 22.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00025359707536755984	80.51917524663274

Samples

8.0ms

144×

valid

Compiler

Compiled 236 to 209 computations (11.4% saved)

Precisions

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

ival-exp: 3.0ms (64.5% of total)

ival-div: 1.0ms (21.5% of total)

ival-add: 1.0ms (21.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0002536292338242	9.311796943308892e+34

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.49999994874266956	0.4999999982063463

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.00025359707536755984	80.51917524663274

Samples

3.0ms

48×

valid

Compiler

Compiled 218 to 200 computations (8.3% saved)

Precisions

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

ival-exp: 1.0ms (65.7% of total)

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

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

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

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

simplify33.0ms (0.5%)

Memory

-25.2MiB live, 51.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	867
1	180	867

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 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 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 -500000000000000022442856339037958392774656 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 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 -190000000000000006980860359727698845630464 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 9007198354021067/18014398509481984 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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4504415618081415/9007199254740992 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 9007198354021067/18014398509481984 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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 9007198354021067/18014398509481984 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) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 b #s(literal 1823957849085051/1125899906842624 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (.f64 b b)))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) (.f64 b b)))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 9007198354021067/18014398509481984 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))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 b #s(literal 2 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #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 #s(approx (+ ( 1/6 b) 1/2) #s(literal 1/2 binary64)) (*.f64 b b)))))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #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 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 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 (exp.f64 a) #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -500000000000000022442856339037958392774656 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 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 -500000000000000022442856339037958392774656 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 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 -190000000000000006980860359727698845630464 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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))))))
(if (<=.f64 a #s(literal -190000000000000006980860359727698845630464 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
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(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 4504415618081415/9007199254740992 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp 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))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 4504415618081415/9007199254740992 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp 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))) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 9007198354021067/18014398509481984 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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 9007198354021067/18014398509481984 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(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 9007198354021067/18014398509481984 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) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))))
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(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/8 binary64) a))) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) a (+.f64 (*.f64 #s(literal -3/8 binary64) a) #s(literal 1/4 binary64))) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (+ (/ a (pow (+ (exp b) 1) 3)) (* (+ (* a 3/2) 1) (/ -1 (pow (+ (exp b) 1) 2))))) a) (/ 1 (+ (exp b) 1))) (fma.f64 #s(approx (+ (* 3/8 a) (+ 1/4 (* -3/8 a))) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.2s (19.6%)

Memory

16.2MiB live, 1 018.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	309
0	75	305
1	355	303
2	3086	303
0	8327	285
0	611	8843
1	1953	8543
2	6734	8468
0	8079	7895
0	329	5047
1	1010	4879
2	3412	4654
0	8652	4433
0	302	4542
1	928	4414
2	3125	4252
0	8418	4078
0	120	740
1	332	725
2	964	708
3	3689	677
0	8345	640

Stop Event

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

Compiler

Compiled 1 001 to 607 computations (39.4% saved)

preprocess93.0ms (1.5%)

Memory: 23.9MiB live, 179.9MiB allocated
Compiler: Compiled 922 to 274 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample967.0ms (16%)

explain76.0ms (1.3%)

preprocess86.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize20.0ms (0.3%)

series7.0ms (0.1%)

simplify161.0ms (2.7%)

rewrite172.0ms (2.8%)

eval47.0ms (0.8%)

prune10.0ms (0.2%)

simplify168.0ms (2.8%)

localize173.0ms (2.9%)

series68.0ms (1.1%)

simplify184.0ms (3%)

rewrite186.0ms (3.1%)

eval263.0ms (4.3%)

prune35.0ms (0.6%)

simplify168.0ms (2.8%)

localize154.0ms (2.5%)

series28.0ms (0.5%)

simplify159.0ms (2.6%)

rewrite148.0ms (2.5%)

eval76.0ms (1.3%)

prune33.0ms (0.5%)

simplify170.0ms (2.8%)

localize190.0ms (3.1%)

series45.0ms (0.7%)

simplify173.0ms (2.9%)

rewrite158.0ms (2.6%)

eval104.0ms (1.7%)

prune34.0ms (0.6%)

regimes52.0ms (0.9%)

regimes46.0ms (0.8%)

regimes19.0ms (0.3%)

regimes18.0ms (0.3%)

regimes40.0ms (0.7%)

regimes39.0ms (0.6%)

regimes23.0ms (0.4%)

regimes18.0ms (0.3%)

regimes17.0ms (0.3%)

regimes16.0ms (0.3%)

regimes15.0ms (0.2%)

regimes10.0ms (0.2%)

regimes23.0ms (0.4%)

regimes14.0ms (0.2%)

regimes17.0ms (0.3%)

regimes18.0ms (0.3%)

regimes17.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.4%)

bsearch11.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch6.0ms (0.1%)

simplify33.0ms (0.5%)

soundness1.2s (19.6%)

preprocess93.0ms (1.5%)

end0.0ms (0%)

Profiling