Metrics for Quotient of sum of exps

analyze5.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB 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)

sample986.0ms (11.3%)

Memory

-5.8MiB live, 3 388.0MiB allocated

Samples

425.0ms	8 256×	0	valid
169.0ms	3 077×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 335.0ms

ival-exp: 184.0ms (54.9% of total)

ival-div: 77.0ms (23% of total)

ival-add: 60.0ms (17.9% of total)

ival-true: 10.0ms (3% of total)

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

Bogosity

preprocess88.0ms (1%)

Memory

-2.2MiB live, 50.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain79.0ms (0.9%)

Memory

-1.7MiB live, 277.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	o/o	2	0
↳	`(exp.f64 a)`	overflow	2
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	91
↳	`(exp.f64 a)`	overflow	2
↳	`(exp.f64 b)`	overflow	89

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 11.0ms (63.3% of total)

ival-div: 3.0ms (17.3% of total)

ival-add: 3.0ms (17.3% of total)

ival-true: 1.0ms (5.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.1%)

Memory

-28.1MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

-1.2MiB live, 78.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	99.2%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

14.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

ival-exp: 4.0ms (52.8% of total)

ival-div: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% of total)

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

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

series7.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify418.0ms (4.8%)

Memory

-17.0MiB live, 1 260.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite294.0ms (3.4%)

Memory

18.9MiB live, 902.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 314

Calls

Call 1

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

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

eval49.0ms (0.6%)

Memory: -26.7MiB live, 168.9MiB allocated
Compiler: Compiled 11 216 to 1 164 computations (89.6% saved)

prune57.0ms (0.7%)

Memory

26.3MiB live, 227.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

99.7%

Counts

414 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.4%	(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
▶	59.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	99.2%	(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
▶	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

Compiler

Compiled 59 to 37 computations (37.3% saved)

simplify269.0ms (3.1%)

Memory

6.1MiB live, 566.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
✓	cost-diff	6208	(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
✓	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	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	cost-diff	192	(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
✓	cost-diff	18496	(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

Rules

5 724×	`lower-fma.f32`
5 720×	`lower-fma.f64`
2 612×	`lower-*.f32`
2 608×	`lower-*.f64`
1 732×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	184
0	57	182
1	80	179
2	115	178
3	182	178
4	299	178
5	469	178
6	918	178
7	1665	178
8	2970	178
9	4735	178
10	6157	178
11	6887	178
12	7169	178
13	7346	178
14	7469	178
15	7718	178
0	8090	176

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (2%)

Memory

-28.0MiB live, 612.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (*.f64 b #s(literal 3 binary64)))
✓	accuracy	99.4%	(fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 3 binary64))))
✓	accuracy	98.5%	(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
✓	accuracy	68.4%	(-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))
✓	accuracy	100.0%	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	99.2%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓	accuracy	79.9%	#s(approx (exp b) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	70.5%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

Samples

69.0ms	122×	1	valid
40.0ms	38×	2	valid
20.0ms	87×	0	exit
2.0ms	9×	0	valid

Compiler

Compiled 177 to 30 computations (83.1% saved)

Precisions

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

ival-exp: 32.0ms (30.7% of total)

ival-log: 17.0ms (16.3% of total)

ival-add: 14.0ms (13.4% of total)

adjust: 12.0ms (11.5% of total)

ival-sub: 10.0ms (9.6% of total)

ival-div: 9.0ms (8.6% of total)

ival-mult: 9.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

series146.0ms (1.7%)

Memory

9.9MiB live, 445.8MiB allocated

Counts

16 → 312

Calls

Call 1

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

Outputs
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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 #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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 #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ 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) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 2 b) (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (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>) () ())) ())
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#s(alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (patch (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (patch (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (patch (/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- 1 (exp a)) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* b (- 2 (exp a)))) (exp a)) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a)) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a)) (taylor 0 b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (+ a b))) (taylor inf b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (+ a b))) (taylor inf b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (+ a b))) (taylor inf b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (+ a b))) (taylor inf b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))) (taylor -inf b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))) (taylor -inf b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))) (taylor -inf b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))) (taylor -inf b) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp b)) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b)) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b)) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b)) (taylor 0 a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (+ a b))) (taylor inf a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (+ a b))) (taylor inf a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (+ a b))) (taylor inf a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (+ a b))) (taylor inf a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (- b (* -1 a)))) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (- b (* -1 a)))) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (- b (* -1 a)))) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 b)) (exp (- b (* -1 a)))) (taylor -inf a) (#s(alt (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (patch (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 3 b)) (taylor 0 b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 3 (* 9/2 b)))) (taylor 0 b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b)))))) (taylor 0 b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 3 b)) (taylor inf b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 3 b)) (taylor inf b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 3 b)) (taylor inf b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 3 b)) (taylor inf b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 3 b)) (taylor -inf b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 3 b)) (taylor -inf b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 3 b)) (taylor -inf b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 3 b)) (taylor -inf b) (#s(alt (exp.f64 (.f64 b #s(literal 3 binary64))) (patch (exp.f64 (.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
37.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
33.0ms	b	@	inf	(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
26.0ms	b	@	-inf	(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
14.0ms	a	@	inf	(log (+ (exp a) (exp b)))
3.0ms	a	@	inf	(+ (* (log (+ (exp a) (exp b))) -1) a)

simplify355.0ms (4.1%)

Memory

27.8MiB live, 1 025.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 640×	`lower-fma.f64`
7 640×	`lower-fma.f32`
4 896×	`lower-*.f64`
4 896×	`lower-*.f32`
4 670×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	538	5670
1	1599	5427
2	4785	5291
0	8252	4982

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 310

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(* -1 (log (+ 1 (exp b))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
a
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(+ a (* -1 (log (+ 1 (exp a)))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(- (+ 1 (exp (* 2 b))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (* -1 (exp b)))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (* 1/2 (- (exp (* 2 b)) (exp b)))))))))) (exp b))))) (exp b))
(- (+ 1 (+ (exp (* 2 b)) (* a (- (+ 3 (+ (exp (* 2 b)) (+ (* -1 (exp b)) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/2 (exp b)) (+ (* 1/2 (- (exp (* 2 b)) (exp b))) (* a (+ 9/2 (+ (* -1 (exp b)) (+ (* -1/6 (exp b)) (* 1/6 (- (exp (* 2 b)) (exp b))))))))))))))) (exp b))))) (exp b))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a))))))
(+ (exp (* 3 a)) (* (exp a) (- 1 (exp a))))
(+ (exp (* 3 a)) (+ (* b (* (exp a) (- 2 (exp a)))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (* (exp a) (- 2 (* 1/2 (exp a))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (+ (* b (+ (* b (+ (* b (* (exp a) (- 4/3 (* 1/6 (exp a))))) (* (exp a) (- 2 (* 1/2 (exp a)))))) (* (exp a) (- 2 (exp a))))) (* (exp a) (- 1 (exp a)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b)))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b))))))
(/ (- (+ 1 (exp (* 2 b))) (exp b)) (+ 1 (exp (* 3 b))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(- (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (+ (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ 1 (+ 1 (exp (* 3 b))))) (* a (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/6 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/6 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* -1/2 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 1/2 (/ (- (exp (* 2 b)) (exp b)) (+ 1 (exp (* 3 b))))) (* 9/2 (/ 1 (+ 1 (exp (* 3 b)))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))))) (+ 1 (exp (* 3 b))))) (+ (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (* 9/2 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))))))))))) (+ (* 3 (/ (- (+ (* -1 (/ (exp b) (+ 1 (exp (* 3 b))))) (+ (* 3 (/ 1 (+ 1 (exp (* 3 b))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b)))))) (+ 1 (exp (* 3 b))))) (* 9/2 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2)))))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b))))))) (+ (* 3 (/ (- (+ 1 (exp (* 2 b))) (exp b)) (pow (+ 1 (exp (* 3 b))) 2))) (/ (exp b) (+ 1 (exp (* 3 b))))))) (+ (/ 1 (+ 1 (exp (* 3 b)))) (/ (exp (* 2 b)) (+ 1 (exp (* 3 b)))))) (/ (exp b) (+ 1 (exp (* 3 b)))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (- b (* -1 a)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (+ 1 (exp (* 3 a))))
(+ (* b (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(+ (* b (- (+ (* b (- (+ (* b (- (/ (* (exp a) (- 4/3 (* 1/6 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a)))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ 1 (exp (* 3 a))))) (+ (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))) (* 9/2 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))))))) (/ (* (exp a) (- 2 (* 1/2 (exp a)))) (+ 1 (exp (* 3 a))))) (+ (* 3 (/ (- (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a)))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))) (+ 1 (exp (* 3 a))))) (* 9/2 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2)))))) (/ (* (exp a) (- 2 (exp a))) (+ 1 (exp (* 3 a))))) (* 3 (/ (+ (exp (* 3 a)) (* (exp a) (- 1 (exp a)))) (pow (+ 1 (exp (* 3 a))) 2))))) (+ (/ (exp (* 3 a)) (+ 1 (exp (* 3 a)))) (/ (* (exp a) (- 1 (exp a))) (+ 1 (exp (* 3 a))))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (* 2 b)) (exp (+ a b))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(/ (+ (exp (* 3 a)) (* (exp a) (- (exp (neg (* -2 b))) (exp (- a (* -1 b)))))) (+ (exp (* 3 a)) (exp (* 3 b))))
(- 1 (exp a))
(- (+ 1 (* b (- 2 (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- 2 (* 1/2 (exp a))))) (exp a)))) (exp a))
(- (+ 1 (* b (- (+ 2 (* b (- (+ 2 (* b (- 4/3 (* 1/6 (exp a))))) (* 1/2 (exp a))))) (exp a)))) (exp a))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (neg (* -2 b))) (exp (- a (* -1 b))))
(- (exp (* 2 b)) (exp b))
(- (+ (exp (* 2 b)) (* -1 (* a (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* -1/2 (* a (exp b))) (exp b)))) (exp b))
(- (+ (exp (* 2 b)) (* a (- (* a (- (* -1/6 (* a (exp b))) (* 1/2 (exp b)))) (exp b)))) (exp b))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (+ a b)))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
(- (exp (* 2 b)) (exp (- b (* -1 a))))
1
(+ 1 (* 3 b))
(+ 1 (* b (+ 3 (* 9/2 b))))
(+ 1 (* b (+ 3 (* b (+ 9/2 (* 9/2 b))))))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))
(exp (* 3 b))

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

rewrite303.0ms (3.5%)

Memory

-23.0MiB live, 934.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 566×	`lower-/.f32`
4 560×	`lower-/.f64`
4 348×	`lower-*.f32`
4 344×	`lower-*.f64`
4 298×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	135
0	57	135
1	195	132
2	1339	126
0	8814	126

Stop Event

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

Counts

16 → 568

Calls

Call 1

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

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 b b)) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (expm1.f64 b) (expm1.f64 b))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b)))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 b)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (exp.f64 (+.f64 b b)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (/.f64 (exp.f64 (+.f64 b b)) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 b b)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 b b)) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 b b)) (exp.f64 (*.f64 b #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (+.f64 b b)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 b #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (expm1.f64 b) (expm1.f64 b))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 b)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 (+.f64 b b)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b)))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (exp.f64 b) (expm1.f64 b)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 b))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
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eval120.0ms (1.4%)

Memory: 16.5MiB live, 326.7MiB allocated
Compiler: Compiled 25 866 to 2 286 computations (91.2% saved)

prune125.0ms (1.4%)

Memory

-7.4MiB live, 355.3MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	920	12	932
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	922	14	936

Accuracy

100.0%

Counts

936 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	59.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	59.5%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	59.3%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
▶	59.0%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶	59.9%	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
	26.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 b)))
✓	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
▶	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	52.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
▶	35.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
	26.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
	35.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

Compiler

Compiled 283 to 172 computations (39.2% saved)

simplify154.0ms (1.8%)

Memory

6.5MiB live, 204.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	cost-diff	#s(approx (exp a) #s(literal 1 binary64))
✓	cost-diff	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	cost-diff	(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	cost-diff	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	cost-diff	(+.f64 b #s(literal 2 binary64))
✓	cost-diff	#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
✓	cost-diff	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
✓	cost-diff	#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
✓	cost-diff	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
✓	cost-diff	(log1p.f64 (exp.f64 a))
✓	cost-diff	(-.f64 a (log1p.f64 (exp.f64 a)))
✓	cost-diff	#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))
✓	cost-diff	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))

Rules

2 744×	`lower-fma.f32`
2 738×	`lower-fma.f64`
888×	`lower-*.f64`
888×	`lower-*.f32`
576×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	230
0	55	230
1	84	228
2	131	226
3	230	226
4	311	226
5	354	226
6	399	226
7	449	226
8	535	226
9	587	226
10	645	226
11	730	226
12	786	226
13	840	226
14	1018	226
15	1252	226
16	2315	226
17	2716	226
18	3511	226
19	3542	226
20	3555	226
21	3555	226
22	3556	226
0	3556	226

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
a
(log1p.f64 (exp.f64 a))
(exp.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))

Outputs
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
a
(log1p.f64 (exp.f64 a))
(exp.f64 a)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))

localize206.0ms (2.4%)

Memory

0.4MiB live, 566.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	99.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	accuracy	86.9%	#s(approx (exp a) #s(literal 1 binary64))
✓	accuracy	80.2%	#s(approx (exp b) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	accuracy	80.0%	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 b #s(literal 2 binary64))
✓	accuracy	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
✓	accuracy	80.0%	#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
✓	accuracy	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
✓	accuracy	83.2%	#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(-.f64 a (log1p.f64 (exp.f64 a)))
✓	accuracy	99.6%	(log1p.f64 (exp.f64 a))
✓	accuracy	80.8%	#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))

Samples

93.0ms	87×	4	exit
26.0ms	118×	0	valid
21.0ms	20×	2	valid
20.0ms	30×	1	valid
0.0ms	1×	1	exit

Compiler

Compiled 148 to 28 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

adjust: 35.0ms (27.7% of total)

ival-log: 27.0ms (21.3% of total)

ival-exp: 19.0ms (15% of total)

ival-add: 14.0ms (11.1% of total)

ival-mult: 12.0ms (9.5% of total)

ival-div: 7.0ms (5.5% of total)

const: 6.0ms (4.7% of total)

ival-log1p: 6.0ms (4.7% of total)

ival-sub: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series52.0ms (0.6%)

Memory

-15.9MiB live, 141.6MiB allocated

Counts

21 → 336

Calls

Call 1

Inputs
#s(alt (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) (patch (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))) (patch #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (-.f64 a (log1p.f64 (exp.f64 a))) (patch (-.f64 a (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())
#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) (patch #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 b #s(literal 2 binary64)) (patch (+.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) (patch (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b)))) (taylor 0 a) (#s(alt (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) (patch (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) (patch (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) (patch (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))) #<representation binary64>) () ())) ())
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#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 a) (taylor 0 a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 b)) (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1/2 (* 1/6 b)))) (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1/2 (* 1/6 b)))) (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow b 2)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow b 2)) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 b) (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(log (+ 1 (exp a)))
13.0ms	a	@	-inf	(log (+ 1 (exp a)))
4.0ms	a	@	inf	(- a (log (+ 1 (exp a))))
2.0ms	a	@	-inf	(- a (log (+ 1 (exp a))))
0.0ms	b	@	-inf	(+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2)

simplify382.0ms (4.4%)

Memory

20.2MiB live, 934.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 262×	`lower-fma.f64`
12 262×	`lower-fma.f32`
6 762×	`lower-+.f64`
6 762×	`lower-+.f32`
4 934×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	4314
1	980	4080
2	2829	3881
0	8289	3635

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 330

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(* -1 (log (+ 1 (exp b))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
a
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(+ a (* -1 (log (+ 1 (exp a)))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(* -1 (log 2))
(- (* 1/2 a) (log 2))
(- (* a (+ 1/2 (* -1/8 a))) (log 2))
(- (* a (+ 1/2 (* a (- (* 1/192 (pow a 2)) 1/8)))) (log 2))
a
(* a (+ 1 (* -1 (/ (log (+ 1 (exp a))) a))))
(* a (+ 1 (* -1 (/ (log (+ 1 (exp a))) a))))
(* a (+ 1 (* -1 (/ (log (+ 1 (exp a))) a))))
a
(* -1 (* a (- (/ (log (+ 1 (exp a))) a) 1)))
(* -1 (* a (- (/ (log (+ 1 (exp a))) a) 1)))
(* -1 (* a (- (/ (log (+ 1 (exp a))) a) 1)))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 3 binary64))))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(fma.f64 b (-.f64 (.f64 (.f64 b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(fma.f64 b (-.f64 (.f64 b (.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(-.f64 (fma.f64 a (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) a) (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(-.f64 (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) a) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a) (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
(-.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (.f64 a #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a) (log1p.f64 (exp.f64 b)))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(fma.f64 a (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)) a)
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(fma.f64 a (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)) a)
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(fma.f64 a (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)) a)
a
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(fma.f64 a (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)) a)
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(fma.f64 a (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)) a)
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(fma.f64 a (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)) a)
(+ a (* -1 (log (+ 1 (exp a)))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))
(-.f64 (-.f64 a (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))
(fma.f64 b (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 a (log1p.f64 (exp.f64 a))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))
(fma.f64 b (fma.f64 b (fma.f64 b (.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 a (log1p.f64 (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(* -1 (log 2))
(neg.f64 (log.f64 #s(literal 2 binary64)))
(- (* 1/2 a) (log 2))
(-.f64 (*.f64 a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(- (* a (+ 1/2 (* -1/8 a))) (log 2))
(-.f64 (*.f64 a (fma.f64 a #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(- (* a (+ 1/2 (* a (- (* 1/192 (pow a 2)) 1/8)))) (log 2))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 2 binary64))))
a
(* a (+ 1 (* -1 (/ (log (+ 1 (exp a))) a))))
(fma.f64 a (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)) a)
(* a (+ 1 (* -1 (/ (log (+ 1 (exp a))) a))))
(fma.f64 a (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)) a)
(* a (+ 1 (* -1 (/ (log (+ 1 (exp a))) a))))
(fma.f64 a (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)) a)
a
(* -1 (* a (- (/ (log (+ 1 (exp a))) a) 1)))
(fma.f64 a (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)) a)
(* -1 (* a (- (/ (log (+ 1 (exp a))) a) 1)))
(fma.f64 a (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)) a)
(* -1 (* a (- (/ (log (+ 1 (exp a))) a) 1)))
(fma.f64 a (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 a)) a)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (-.f64 (neg.f64 (.f64 (fma.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64)) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
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 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
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(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/6 (pow b 3))
(.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))
(* 1/6 (pow b 3))
(.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(neg.f64 (.f64 (.f64 b (.f64 b b)) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 b b)))) b))))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (neg.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (-.f64 (neg.f64 (.f64 (fma.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64)) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(.f64 #s(literal 1/6 binary64) (.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(.f64 #s(literal 1/6 binary64) (.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

rewrite280.0ms (3.2%)

Memory

18.8MiB live, 691.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 676×	`lower-/.f32`
4 670×	`lower-/.f64`
4 254×	`lower-*.f64`
4 254×	`lower-*.f32`
3 018×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	216
0	55	216
1	229	214
2	1618	214
0	8344	214

Stop Event

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

Counts

21 → 310

Calls

Call 1

Inputs
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(+.f64 b #s(literal 2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))

Outputs
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a))))
(+.f64 a (neg.f64 (log1p.f64 (exp.f64 a))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) a)
(-.f64 a (log1p.f64 (exp.f64 a)))
(-.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (neg.f64 (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 a (neg.f64 (log1p.f64 (exp.f64 a))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 a)) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 a (log1p.f64 (exp.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a (log1p.f64 (exp.f64 a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))))) (-.f64 (.f64 a (*.f64 a a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 a (.f64 a a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a)))
(/.f64 (-.f64 (.f64 a (.f64 a a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 a (neg.f64 (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (.f64 a (.f64 a a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (.f64 a (.f64 a a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 a (neg.f64 (log1p.f64 (exp.f64 a))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (neg.f64 (log1p.f64 (exp.f64 a))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))) (.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a))))
(/.f64 (-.f64 (.f64 (.f64 a a) (+.f64 a (log1p.f64 (exp.f64 a)))) (.f64 (+.f64 a (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (+.f64 a (log1p.f64 (exp.f64 a))) (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (.f64 a (log1p.f64 (exp.f64 a))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a a) (.f64 a a) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (pow.f64 (.f64 a (log1p.f64 (exp.f64 a))) #s(literal 2 binary64)))) (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a a) (.f64 a a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 a (.f64 a a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 a (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (.f64 a (.f64 a a))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (.f64 a a) (.f64 (neg.f64 (log1p.f64 (exp.f64 a))) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))) (/.f64 (.f64 a (.f64 a a)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))) (.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (*.f64 a a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 a (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 a (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a a) (+.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (.f64 a a) (+.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 a (log1p.f64 (exp.f64 a)))) (.f64 (/.f64 (*.f64 a a) (+.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 a (log1p.f64 (exp.f64 a))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 a (log1p.f64 (exp.f64 a)))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 a (.f64 a a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (exp.f64 a)) (+.f64 a (log1p.f64 (exp.f64 a))) (.f64 a a))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (log1p.f64 (exp.f64 (*.f64 a #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 a))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 a #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (expm1.f64 a)))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) (.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 a))) (log1p.f64 (neg.f64 (exp.f64 a))) (*.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 a a)))) (log1p.f64 (neg.f64 (exp.f64 a)))))))
(log1p.f64 (exp.f64 a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))))
(pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))
#s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))
(pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 b #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) b)
(-.f64 (/.f64 (*.f64 b b) (+.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 b #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) b)) (/.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) b)))
(fma.f64 b #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 b b) (.f64 b #s(literal 2 binary64)))) (fma.f64 b (*.f64 b b) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) b) (-.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 b b) (*.f64 b #s(literal 2 binary64)))))
(/.f64 (fma.f64 b b #s(literal -4 binary64)) (+.f64 b #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 b b) (*.f64 b #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64))) (neg.f64 (+.f64 b #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 2 binary64) b))
(/.f64 (-.f64 (.f64 (.f64 b b) (+.f64 b #s(literal -2 binary64))) (.f64 (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (+.f64 b #s(literal -2 binary64)) (+.f64 b #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (-.f64 #s(literal 64 binary64) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))))) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 b (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64)) (.f64 b (.f64 b b)) (pow.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (.f64 #s(literal 1/6 binary64) (.f64 b b)) (-.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 b b)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 b b))) (.f64 b #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 b (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 b (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (exp b) #s(literal 1 binary64))

eval82.0ms (0.9%)

Memory: 1.3MiB live, 234.8MiB allocated
Compiler: Compiled 13 656 to 1 483 computations (89.1% saved)

prune169.0ms (1.9%)

Memory

-23.8MiB live, 317.8MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	632	23	655
Fresh	1	6	7
Picked	1	4	5
Done	0	2	2
Total	634	35	669

Accuracy

100.0%

Counts

669 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	59.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	59.5%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	59.3%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
✓	59.0%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	37.6%	(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	37.6%	(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	37.7%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	37.4%	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
▶	59.7%	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
	34.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	26.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 b)))
✓	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
✓	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	38.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	38.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	52.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	41.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
▶	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
	41.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
	37.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
	41.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
✓	35.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
	24.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
	23.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
▶	31.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
	24.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
	24.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
▶	26.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
▶	35.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

Compiler

Compiled 1 189 to 679 computations (42.9% saved)

simplify251.0ms (2.9%)

Memory

-19.6MiB live, 457.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 (exp.f64 b) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
✓	cost-diff	320	(+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (.f64 b b)))
✓	cost-diff	768	(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (.f64 b b))
✓	cost-diff	832	(.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))
✓	cost-diff	0	(fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓	cost-diff	0	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
✓	cost-diff	0	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))

Rules

4 978×	`lower-fma.f32`
4 966×	`lower-fma.f64`
3 910×	`lower-*.f32`
3 900×	`lower-*.f64`
1 926×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	536
0	85	510
1	146	508
2	240	501
3	506	501
4	951	484
5	1459	476
6	2329	476
7	3608	476
8	4554	476
9	5315	476
10	6211	476
11	7201	476
0	8066	443

Stop Event

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

Calls

Call 1

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

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

localize340.0ms (3.9%)

Memory

6.0MiB live, 844.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (exp.f64 b) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	59.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b)))
✓	accuracy	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
✓	accuracy	80.0%	#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))
✓	accuracy	68.8%	(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (.f64 b b))
✓	accuracy	99.9%	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
✓	accuracy	80.0%	#s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
✓	accuracy	55.3%	#s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	accuracy	80.9%	#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
✓	accuracy	100.0%	(-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
✓	accuracy	87.9%	#s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
✓	accuracy	80.8%	#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))

Samples

117.0ms	87×	4	exit
91.0ms	118×	0	valid
26.0ms	30×	1	valid
24.0ms	20×	2	valid
0.0ms	1×	1	exit

Compiler

Compiled 269 to 46 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-add: 75.0ms (35% of total)

adjust: 41.0ms (19.1% of total)

ival-log: 31.0ms (14.5% of total)

ival-mult: 25.0ms (11.7% of total)

ival-exp: 17.0ms (7.9% of total)

ival-div: 10.0ms (4.7% of total)

const: 7.0ms (3.3% of total)

ival-log1p: 5.0ms (2.3% of total)

ival-sub: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series23.0ms (0.3%)

Memory

26.6MiB live, 67.3MiB allocated

Counts

22 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(* (+ (/ 2 (* b (* b b))) 1/6) (* b b))
0.0ms	b	@	0	(/ 2 (* b (* b b)))
0.0ms	b	@	-inf	(* (+ (/ 2 (* b (* b b))) 1/6) (* b b))
0.0ms	b	@	inf	(* (+ (/ 2 (* b (* b b))) 1/6) (* b b))
0.0ms	b	@	0	(* b (+ (+ (* b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))))

simplify411.0ms (4.7%)

Memory

-8.5MiB live, 1 018.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 964×	`lower-fma.f64`
11 964×	`lower-fma.f32`
6 496×	`lower-+.f64`
6 496×	`lower-+.f32`
5 084×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	4541
1	975	4306
2	2851	4036
0	8280	3776

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 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)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(* -1 (log (+ 1 (exp b))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
a
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(+ a (* -1 (log (+ 1 (exp a)))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(* -1 (log 2))
(- (* 1/2 a) (log 2))
(- (* a (+ 1/2 (* -1/8 a))) (log 2))
(- (* a (+ 1/2 (* a (- (* 1/192 (pow a 2)) 1/8)))) (log 2))
a
(* a (+ 1 (* -1 (/ (log (+ 1 (exp a))) a))))
(* a (+ 1 (* -1 (/ (log (+ 1 (exp a))) a))))
(* a (+ 1 (* -1 (/ (log (+ 1 (exp a))) a))))
a
(* -1 (* a (- (/ (log (+ 1 (exp a))) a) 1)))
(* -1 (* a (- (/ (log (+ 1 (exp a))) a) 1)))
(* -1 (* a (- (/ (log (+ 1 (exp a))) a) 1)))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* -1/4 b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(/ 2 b)
(/ (+ 2 (* 1/6 (pow b 3))) b)
(/ (+ 2 (* 1/6 (pow b 3))) b)
(/ (+ 2 (* 1/6 (pow b 3))) b)
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 2 (/ 1 (pow b 3)))))
(* (pow b 2) (+ 1/6 (* 2 (/ 1 (pow b 3)))))
(* (pow b 2) (+ 1/6 (* 2 (/ 1 (pow b 3)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 2 (/ 1 (pow b 3)))))
(* (pow b 2) (+ 1/6 (* 2 (/ 1 (pow b 3)))))
(* (pow b 2) (+ 1/6 (* 2 (/ 1 (pow b 3)))))
(/ 2 b)
(/ (+ 2 b) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(/ (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) b)
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (* -1 (/ (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2) b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))
(/ 2 (pow b 3))

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

rewrite330.0ms (3.8%)

Memory

13.7MiB live, 802.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 082×	`lower-/.f32`
4 076×	`lower-/.f64`
4 002×	`lower-*.f32`
3 992×	`lower-*.f64`
2 736×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	403
0	85	391
1	356	389
2	2719	389
0	8283	363

Stop Event

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

Counts

22 → 402

Calls

Call 1

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

Outputs
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(+.f64 a (neg.f64 #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(+.f64 (neg.f64 #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) a)
(-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
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(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (+ 1 (exp b)) #s(approx (+ ( b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))))))))
(/.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64)))))))) #s(literal 1 binary64))
#s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))))))
(pow.f64 #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))))))) #s(literal -1 binary64))
(.f64 #s(approx (+ 1 (exp b)) #s(approx (+ ( b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 b (.f64 b b)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (.f64 b (.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 b (*.f64 b b)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 b (*.f64 b b)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 b (*.f64 b b)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b (*.f64 b b)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 b (*.f64 b b)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 b b) (neg.f64 b))))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 b b) (neg.f64 b)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (.f64 (.f64 b b) (neg.f64 b)))))
(/.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 b b))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) b)) (neg.f64 (*.f64 b b)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) b)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) b)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) b))) (neg.f64 (neg.f64 (*.f64 b b))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (neg.f64 b))
(pow.f64 (.f64 (.f64 b (*.f64 b b)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 b (*.f64 b b)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 b b) (neg.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (.f64 b b) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 2 binary64) b))

eval110.0ms (1.3%)

Memory: 37.7MiB live, 337.3MiB allocated
Compiler: Compiled 22 045 to 1 835 computations (91.7% saved)

prune133.0ms (1.5%)

Memory

-27.2MiB live, 427.0MiB allocated

Pruning

39 alts after pruning (31 fresh and 8 done)

	Pruned	Kept	Total
New	723	11	734
Fresh	4	20	24
Picked	3	2	5
Done	0	6	6
Total	730	39	769

Accuracy

100.0%

Counts

769 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	59.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	59.5%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	59.3%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
✓	59.0%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	37.6%	(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	37.6%	(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	37.7%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	37.4%	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
✓	59.7%	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
	34.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	26.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 b)))
✓	87.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
✓	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	52.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
	41.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
	38.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
	38.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
	52.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
	41.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
	37.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
	41.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
	56.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
✓	35.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
	24.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
	35.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
	23.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
	28.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))
	24.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
	24.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
	24.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
✓	26.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
	3.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
✓	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

Compiler

Compiled 1 576 to 626 computations (60.3% saved)

regimes69.0ms (0.8%)

Memory

11.5MiB live, 209.9MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(/.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))

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

Calls

5 calls:

15.0ms	b
14.0ms	a
13.0ms	(exp.f64 b)
12.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes125.0ms (1.4%)

Memory

-8.3MiB live, 190.3MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

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

Calls

5 calls:

71.0ms	(exp.f64 a)
14.0ms	a
14.0ms	b
12.0ms	(exp.f64 b)
12.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes65.0ms (0.8%)

Memory

-14.8MiB live, 187.5MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))

Outputs

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

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

Calls

5 calls:

14.0ms	a
14.0ms	b
12.0ms	(exp.f64 b)
11.0ms	(exp.f64 a)
10.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
99.1%	2	`a`
99.6%	3	`b`
87.5%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.1%	2	`(exp.f64 a)`
99.6%	3	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

2.1MiB live, 80.7MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

14.0ms	a
10.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.1%	2	`a`
99.1%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes27.0ms (0.3%)

Memory

31.5MiB live, 70.7MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

16.0ms	a
9.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.0%	2	`a`
99.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes46.0ms (0.5%)

Memory

-15.3MiB live, 65.0MiB allocated

Counts

40 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))

Outputs

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

Calls

2 calls:

33.0ms	a
10.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes26.0ms (0.3%)

Memory

-11.2MiB live, 67.4MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

12.0ms	a
12.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.8%	2	`a`
98.8%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes44.0ms (0.5%)

Memory

16.9MiB live, 135.6MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.5%	1	`b`
87.5%	1	`(exp.f64 b)`
89.8%	2	`a`
89.1%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes58.0ms (0.7%)

Memory

-24.5MiB live, 163.7MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/36 binary64)) (.f64 b b)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal -1/6 binary64)))))))))

Outputs

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

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

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

Calls

5 calls:

14.0ms	(exp.f64 a)
12.0ms	b
12.0ms	a
10.0ms	(exp.f64 b)
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
75.3%	2	`(exp.f64 b)`
82.6%	3	`b`
79.8%	3	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
60.9%	2	`(exp.f64 a)`
62.7%	3	`a`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes32.0ms (0.4%)

Memory

-24.2MiB live, 94.6MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)) (-.f64 #s(literal 4 binary64) (.f64 b (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b)))))))))

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.4%	2	`(exp.f64 b)`
64.0%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
66.7%	3	`b`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes18.0ms (0.2%)

Memory

28.6MiB live, 67.9MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b -1/4) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) 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) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b #s(approx (+ (* b 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b #s(approx (+ (+ ( b 1/2) 1) (* (+ (/ 2 (* b (* b b))) 1/6) (* b b))) (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)) (neg.f64 (.f64 b (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))) #s(literal 1/6 binary64)) (*.f64 b b))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (+.f64 b #s(literal -2 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.0%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
63.0%	3	`b`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes32.0ms (0.4%)

Memory

-24.4MiB live, 94.0MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.3%	1	`(exp.f64 a)`
56.3%	1	`a`
59.4%	2	`b`
59.4%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes14.0ms (0.2%)

Memory

6.2MiB live, 44.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	b
3.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

-8.6MiB live, 30.1MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	b
3.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes21.0ms (0.2%)

Memory

-25.9MiB live, 53.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

7.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)
4.0ms	b
3.0ms	a
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
52.9%	1	`(exp.f64 a)`
52.9%	1	`a`
55.7%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
55.7%	2	`b`
55.7%	2	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

1.8MiB live, 40.6MiB allocated

Accuracy

Total -22.5b remaining (-56.7%)

Threshold costs -22.5b (-56.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(exp.f64 a)
2.0ms	b
2.0ms	a
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	`(exp.f64 a)`
37.9%	1	`a`
37.9%	1	`b`
37.9%	1	`(exp.f64 b)`
37.9%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9998595838475581	0.9999999999784712

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9998595838475581	0.9999999999784712

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9998595838475581	0.9999999999784712

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9998595838475581	0.9999999999784712

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9998595838475581	0.9999999999784712

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch8.0ms (0.1%)

Memory

24.9MiB live, 25.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-8.950790921613605e+29	-5.683112424297451e+29

Samples

3.0ms	64×	0	valid
1.0ms	13×	0	exit

Compiler

Compiled 161 to 103 computations (36% saved)

Precisions

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

ival-exp: 1.0ms (50.8% 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)

bsearch37.0ms (0.4%)

Memory

1.3MiB live, 81.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.3123963506399144e+99	1.053198296746556e+106
13.0ms	-945.1314802298837	-0.6614532569578208

Samples

15.0ms

272×

valid

Compiler

Compiled 858 to 412 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 6.0ms (67.6% of total)

ival-div: 2.0ms (22.5% of total)

ival-add: 1.0ms (11.3% of total)

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

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

bsearch10.0ms (0.1%)

Memory

-12.2MiB live, 26.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.3123963506399144e+99	1.053198296746556e+106
8.0ms	-945.1314802298837	-0.6614532569578208

Samples

3.0ms

64×

valid

Compiler

Compiled 842 to 396 computations (53% saved)

Precisions

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

ival-exp: 1.0ms (53% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.4999648934971295

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.4999648934971295

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000004183525	+inf

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000004183525	+inf

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000004183525	+inf

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.4999648934971295

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify16.0ms (0.2%)

Memory

10.5MiB live, 49.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
18×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	950
1	164	950
2	167	950
3	169	950
4	170	950

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 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) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 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 -579999999999999989015084269568 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 b #s(literal -1261007895663739/1125899906842624 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ ( b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))))
(if (<=.f64 b #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ ( b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

Outputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #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 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #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 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 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) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 4503149267407759/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -579999999999999989015084269568 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b))))) #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 -579999999999999989015084269568 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b 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 b #s(literal -1261007895663739/1125899906842624 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (if (<=.f64 b #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ ( b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))))
(if (<=.f64 b #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (.f64 b b) (.f64 #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -4 binary64)) (fma.f64 b #s(approx (+ ( b (+ (* b 1/6) 1/2)) 1) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ ( b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64))) b))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (fma.f64 b #s(literal 1/2 binary64) (fma.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64)))))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* b (+ (* b 1/6) 1/2)) 1) (.f64 b #s(approx (+ ( b 1/6) 1/2) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

soundness1.4s (16.6%)

Memory

-8.9MiB live, 1 583.1MiB allocated

Rules

18 438×	`lower-fma.f64`
18 438×	`lower-fma.f32`
12 262×	`lower-fma.f64`
12 262×	`lower-fma.f32`
11 964×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	538	5670
1	1599	5427
2	4785	5291
0	8252	4982
0	33	135
0	57	135
1	195	132
2	1339	126
0	8814	126
0	58	403
0	85	391
1	356	389
2	2719	389
0	8283	363
0	337	4541
1	975	4306
2	2851	4036
0	8280	3776
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640
0	338	4314
1	980	4080
2	2829	3881
0	8289	3635
0	6	17
0	10	17
1	32	17
2	203	17
3	1936	17
0	8631	17

Stop Event

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

Compiler

Compiled 975 to 461 computations (52.7% saved)

preprocess130.0ms (1.5%)

Memory: 6.1MiB live, 376.2MiB allocated
Compiler: Compiled 946 to 214 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

sample986.0ms (11.3%)

preprocess88.0ms (1%)

explain79.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize22.0ms (0.3%)

series7.0ms (0.1%)

simplify418.0ms (4.8%)

rewrite294.0ms (3.4%)

eval49.0ms (0.6%)

prune57.0ms (0.7%)

simplify269.0ms (3.1%)

localize177.0ms (2%)

series146.0ms (1.7%)

simplify355.0ms (4.1%)

rewrite303.0ms (3.5%)

eval120.0ms (1.4%)

prune125.0ms (1.4%)

simplify154.0ms (1.8%)

localize206.0ms (2.4%)

series52.0ms (0.6%)

simplify382.0ms (4.4%)

rewrite280.0ms (3.2%)

eval82.0ms (0.9%)

prune169.0ms (1.9%)

simplify251.0ms (2.9%)

localize340.0ms (3.9%)

series23.0ms (0.3%)

simplify411.0ms (4.7%)

rewrite330.0ms (3.8%)

eval110.0ms (1.3%)

prune133.0ms (1.5%)

regimes69.0ms (0.8%)

regimes125.0ms (1.4%)

regimes65.0ms (0.8%)

regimes27.0ms (0.3%)

regimes27.0ms (0.3%)

regimes46.0ms (0.5%)

regimes26.0ms (0.3%)

regimes44.0ms (0.5%)

regimes58.0ms (0.7%)

regimes32.0ms (0.4%)

regimes18.0ms (0.2%)

regimes32.0ms (0.4%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

bsearch37.0ms (0.4%)

bsearch10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.2%)

soundness1.4s (16.6%)

preprocess130.0ms (1.5%)

end0.0ms (0%)

Profiling