Metrics for Quotient of sum of exps

analyze5.0ms (0.1%)

Memory

15.7MiB live, 15.8MiB 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)

sample951.0ms (11%)

Memory

-17.8MiB live, 3 051.5MiB allocated

Samples

405.0ms	8 256×	0	valid
164.0ms	3 038×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-exp: 175.0ms (54.4% of total)

ival-div: 76.0ms (23.6% of total)

ival-add: 58.0ms (18% of total)

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

ival-assert: 4.0ms (1.2% of total)

Bogosity

preprocess87.0ms (1%)

Memory

30.7MiB live, 75.3MiB 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)))

explain83.0ms (1%)

Memory

-1.2MiB live, 318.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	o/o	2	0
↳	`(exp.f64 a)`	overflow	2
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	75
↳	`(exp.f64 a)`	overflow	2
↳	`(exp.f64 b)`	overflow	73
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	u/u	1	0
↳	`(exp.f64 a)`	underflow	57
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	57
↳	`(exp.f64 b)`	underflow	55

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-exp: 12.0ms (64.4% of total)

ival-div: 4.0ms (21.5% of total)

ival-add: 3.0ms (16.1% of total)

ival-true: 0.0ms (0% 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
▶	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.1%)

Memory

-25.7MiB live, 13.9MiB 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

-0.6MiB live, 79.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

15.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

ival-exp: 4.0ms (51.5% of total)

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

ival-add: 1.0ms (12.9% of total)

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

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

series7.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify428.0ms (4.9%)

Memory

-12.7MiB live, 1 313.4MiB 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)

rewrite299.0ms (3.5%)

Memory

-12.4MiB live, 904.0MiB 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)))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b)))) (*.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64)) (exp.f64 (.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(*.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (+.f64 (exp.f64 a) (exp.f64 b)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a))) (exp.f64 (*.f64 a #s(literal 4 binary64)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b))))
(.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

eval46.0ms (0.5%)

Memory: 7.5MiB live, 163.6MiB allocated
Compiler: Compiled 11 216 to 1 164 computations (89.6% saved)

prune57.0ms (0.7%)

Memory

17.4MiB live, 219.4MiB 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

99.4%

Counts

414 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	98.8%	(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
▶	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
▶	55.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Compiler

Compiled 50 to 32 computations (36% saved)

simplify310.0ms (3.6%)

Memory

-3.8MiB live, 642.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (exp b) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	6080	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓	cost-diff	0	(+.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))))
✓	cost-diff	0	(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
✓	cost-diff	320	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	cost-diff	6272	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))

Rules

7 350×	`lower-fma.f32`
7 348×	`lower-fma.f64`
2 804×	`lower-*.f32`
2 802×	`lower-*.f64`
1 728×	`lower--.f32`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	27	167
0	45	165
1	61	165
2	81	164
3	112	164
4	163	164
5	287	164
6	639	164
7	1139	164
8	1737	164
9	2556	164
10	3395	162
11	4076	160
12	4747	160
13	5414	160
14	5585	160
15	6144	160
16	7116	160
0	8137	160

Stop Event

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

Calls

Call 1

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

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

localize191.0ms (2.2%)

Memory

-3.3MiB live, 637.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
✓	accuracy	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓	accuracy	76.3%	#s(approx (exp b) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	100.0%	(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
✓	accuracy	99.6%	(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
✓	accuracy	64.6%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	accuracy	100.0%	(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	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	99.2%	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	78.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Samples

62.0ms	71×	4	exit
31.0ms	40×	2	valid
30.0ms	57×	1	valid
16.0ms	88×	0	valid

Compiler

Compiled 141 to 22 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-log: 31.0ms (28.8% of total)

ival-exp: 22.0ms (20.5% of total)

adjust: 18.0ms (16.7% of total)

ival-add: 14.0ms (13% of total)

ival-div: 13.0ms (12.1% of total)

ival-mult: 7.0ms (6.5% of total)

ival-sub: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series149.0ms (1.7%)

Memory

-10.0MiB live, 465.6MiB allocated

Counts

17 → 324

Calls

Call 1

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

Outputs
#s(alt 1/2 (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/4 a)) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (taylor inf b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) (taylor inf b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) (taylor inf b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a)))))) (taylor inf b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (taylor -inf b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) (taylor -inf b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) (taylor -inf b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))))) (taylor -inf b) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ 1 (* -1/2 b))) (taylor 0 a) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b)))))) (taylor 0 a) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) (taylor 0 a) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b)))))) (taylor 0 a) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a))) (taylor inf a) (#s(alt (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf b) (#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 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) #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 (+ 1 (+ a (exp b))) (taylor 0 a) (#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 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#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 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#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 (+ 1 (exp a)) (taylor 0 b) (#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 (+ 1 (+ b (exp a))) (taylor 0 b) (#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 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#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 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#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 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>) () ())) ())
#s(alt 2 (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 2 a) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
34.0ms	b	@	inf	(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
33.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
25.0ms	b	@	-inf	(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
17.0ms	a	@	inf	(log (+ (exp a) (exp b)))
4.0ms	a	@	-inf	(+ (* (log (+ (exp a) (exp b))) -1) a)

simplify331.0ms (3.8%)

Memory

8.6MiB live, 838.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 662×	`lower-fma.f64`
8 662×	`lower-fma.f32`
4 344×	`lower-*.f64`
4 344×	`lower-*.f32`
3 308×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	4395
1	1218	4161
2	3938	3990
0	8063	3755

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 322

Calls

Call 1

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

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 a (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
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(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
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1/2
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1
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a
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a
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rewrite318.0ms (3.7%)

Memory

14.6MiB live, 821.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 734×	`lower-fma.f32`
4 732×	`lower-fma.f64`
4 356×	`lower-/.f32`
4 348×	`lower-/.f64`
3 746×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	140
0	45	138
1	165	138
2	1218	137
0	8623	137

Stop Event

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

Counts

17 → 583

Calls

Call 1

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

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

eval124.0ms (1.4%)

Memory: 7.8MiB live, 396.5MiB allocated
Compiler: Compiled 21 867 to 2 128 computations (90.3% saved)

prune128.0ms (1.5%)

Memory

-17.2MiB live, 347.6MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	998	12	1 010
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 000	14	1 014

Accuracy

100.0%

Counts

1 014 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.9%	(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
✓	58.3%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	57.3%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	58.3%	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
▶	82.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	52.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
▶	47.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
▶	33.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
▶	33.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	32.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	33.4%	#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))))
▶	36.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
	33.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Compiler

Compiled 333 to 210 computations (36.9% saved)

simplify24.0ms (0.3%)

Memory

13.9MiB live, 52.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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))
✓	cost-diff	0	(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))
✓	cost-diff	0	#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) b)
✓	cost-diff	0	#s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b)))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
✓	cost-diff	0	#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	12224	(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Rules

656×	`lower-fma.f32`
646×	`lower-fma.f64`
274×	`lower-*.f32`
272×	`lower-*.f64`
168×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	264
0	57	264
1	95	260
2	184	260
3	380	260
4	462	260
5	482	260
0	482	260

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (1.3%)

Memory

5.7MiB live, 239.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(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))
✓	accuracy	99.9%	(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
✓	accuracy	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	50.6%	#s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	accuracy	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	accuracy	64.5%	#s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b)))
✓	accuracy	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
✓	accuracy	50.3%	#s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))
✓	accuracy	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
✓	accuracy	52.9%	#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	99.2%	(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Samples

66.0ms

256×

valid

Compiler

Compiled 168 to 31 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-add: 11.0ms (22.7% of total)

ival-mult: 9.0ms (18.6% of total)

ival-pow: 9.0ms (18.6% of total)

ival-exp: 6.0ms (12.4% of total)

const: 6.0ms (12.4% of total)

ival-div: 3.0ms (6.2% of total)

ival-pow2: 3.0ms (6.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series23.0ms (0.3%)

Memory

3.1MiB live, 45.0MiB allocated

Counts

20 → 300

Calls

Call 1

Inputs
#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 b)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) (patch #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b)) (patch #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 2 binary64) b) (patch (+.f64 #s(literal 2 binary64) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #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 #s(literal 1/2 binary64) b #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #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 (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)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1/2 (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 b)) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor inf b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor inf b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor inf b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor inf b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor -inf b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor -inf b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor -inf b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp b))) (taylor -inf b) (#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) (taylor inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) (taylor inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4))))) (taylor inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1/480 (pow b 5)) (taylor -inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2)))))) (taylor -inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2)))))) (taylor -inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5))))))) (taylor -inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt -1/4 (taylor 0 b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/48 (pow b 2)) 1/4) (taylor 0 b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4) (taylor 0 b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4) (taylor 0 b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1/480 (pow b 4)) (taylor inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) (taylor inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) (taylor inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) (taylor inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1/480 (pow b 4)) (taylor -inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) (taylor -inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) (taylor -inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4))))) (taylor -inf b) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 b)) (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 b)) (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 b)) (taylor 0 b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 b) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 b) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/2 (/ 1 b))) (taylor -inf b) (#s(alt (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/48 (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/48 (* -1/480 (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/48 (* -1/480 (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/48 (* -1/480 (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/480 (pow b 2)) (taylor inf b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) (taylor inf b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) (taylor inf b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) (taylor inf b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/480 (pow b 2)) (taylor -inf b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) (taylor -inf b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) (taylor -inf b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480)) (taylor -inf b) (#s(alt (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) (patch (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	(pow (+ 1 (exp b)) -1/2)
1.0ms	b	@	inf	(+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2)
1.0ms	b	@	inf	(pow (+ 1 (exp b)) -1/2)
0.0ms	b	@	-inf	(+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2)
0.0ms	b	@	0	(pow (+ 1 (exp b)) -1/2)

simplify329.0ms (3.8%)

Memory

4.7MiB live, 678.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 556×	`lower-fma.f64`
11 556×	`lower-fma.f32`
5 292×	`lower-*.f64`
5 292×	`lower-*.f32`
2 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	3725
1	509	3642
2	1429	3562
3	6028	3547
0	8082	3402

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 298

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* 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)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 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 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
1/48
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #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 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1 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)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (+.f64 (/.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 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
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(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1 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 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 a (+.f64 (/.f64 #s(literal 1 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)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (+.f64 (/.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 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (exp.f64 a) (/.f64 (neg.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 b) (fma.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 b (neg.f64 (fma.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) (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 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(* -1/480 (pow b 5))
(*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64)))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (/.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b (*.f64 b b))))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (/.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64)))))
(* -1/480 (pow b 5))
(*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64)))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (/.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b (*.f64 b b))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
(.f64 (pow.f64 b #s(literal 5 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (/.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 5 binary64)))))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(* -1/480 (pow b 4))
(.f64 #s(literal -1/480 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (/.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b (.f64 b b))))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (/.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b (.f64 b b))))))
(* -1/480 (pow b 4))
(.f64 #s(literal -1/480 binary64) (.f64 b (.f64 b (.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (.f64 b (.f64 b (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (/.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b (.f64 b b))))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 b b))) (/.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b (.f64 b b))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(* -1/480 (pow b 2))
(.f64 b (.f64 b #s(literal -1/480 binary64)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(* -1/480 (pow b 2))
(.f64 b (.f64 b #s(literal -1/480 binary64)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))

rewrite281.0ms (3.2%)

Memory

-2.6MiB live, 638.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 554×	`lower-*.f32`
4 552×	`lower-*.f64`
4 432×	`lower-/.f32`
4 428×	`lower-/.f64`
2 914×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	242
0	57	238
1	235	238
2	1550	238
0	8155	238

Stop Event

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

Counts

20 → 388

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 b)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log1p.f64 (exp.f64 b)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/230400 binary64)))) (neg.f64 (-.f64 #s(literal 1/48 binary64) (.f64 b (.f64 b #s(literal -1/480 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (fma.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))

eval95.0ms (1.1%)

Memory: -4.8MiB live, 195.5MiB allocated
Compiler: Compiled 15 496 to 1 511 computations (90.2% saved)

prune103.0ms (1.2%)

Memory

1.3MiB live, 239.4MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	674	12	686
Fresh	2	5	7
Picked	1	4	5
Done	0	2	2
Total	677	23	700

Accuracy

100.0%

Counts

700 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.9%	(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
✓	58.3%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	57.3%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	58.3%	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
	23.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 b b) (+.f64 b b)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	23.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 b b) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (+.f64 b b) (+.f64 b b))) (exp.f64 (+.f64 b b)))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	35.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	52.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	47.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
▶	47.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))))
	34.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)))))))
▶	33.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
	33.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 #s(literal 2 binary64) b))))))
✓	33.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
	17.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)))))
	17.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b))))))
	32.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
▶	33.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓	33.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	15.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
✓	36.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
	33.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Compiler

Compiled 744 to 417 computations (44% saved)

simplify341.0ms (3.9%)

Memory

20.3MiB live, 649.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
✓	cost-diff	128	(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
✓	cost-diff	320	(.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))))
✓	cost-diff	0	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
✓	cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓	cost-diff	0	(-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))
✓	cost-diff	0	(exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))
✓	cost-diff	0	(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a))

Rules

14 940×	`lower-fma.f32`
14 934×	`lower-fma.f64`
4 374×	`lower-*.f32`
4 358×	`lower-*.f64`
2 392×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	512
0	94	444
1	161	424
2	295	424
3	688	422
4	1969	422
5	4794	422
0	8112	417

Stop Event

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

Calls

Call 1

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

localize327.0ms (3.8%)

Memory

8.2MiB live, 559.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
✓	accuracy	98.8%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	accuracy	97.1%	#s(approx (exp a) #s(literal 1 binary64))
✓	accuracy	77.6%	#s(approx (exp b) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	98.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
✓	accuracy	81.3%	(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
✓	accuracy	77.5%	#s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))
✓	accuracy	98.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))))
✓	accuracy	78.2%	#s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))
✓	accuracy	67.5%	#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
✓	accuracy	98.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓	accuracy	78.4%	#s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a)))
✓	accuracy	99.6%	(-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))
✓	accuracy	99.5%	(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))
✓	accuracy	79.5%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

50.0ms	39×	1	valid
30.0ms	19×	2	valid
28.0ms	84×	0	valid
25.0ms	56×	1	exit
24.0ms	58×	0	exit

Compiler

Compiled 334 to 47 computations (85.9% saved)

Precisions

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

ival-pow: 26.0ms (20.6% of total)

ival-mult: 22.0ms (17.4% of total)

ival-log: 17.0ms (13.5% of total)

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

adjust: 12.0ms (9.5% of total)

ival-pow2: 9.0ms (7.1% of total)

ival-add: 9.0ms (7.1% of total)

ival-div: 8.0ms (6.3% of total)

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

ival-neg: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series103.0ms (1.2%)

Memory

-4.6MiB live, 228.6MiB allocated

Counts

25 → 432

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a))) (patch (pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a))) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 a a))) (patch (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 a a))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 a a)) (patch (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 a a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) (patch #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (.f64 #s(literal 1/2 binary64) b)) #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 (+ ( 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ ( 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ ( 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(approx (+ (* 1/2 b) 1) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (patch (fma.f64 b #s(approx (+ ( 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (patch (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 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 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 b) 1) (.f64 #s(literal 1/2 binary64) b)) (patch #s(approx (+ ( 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<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 (log (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* a (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (+ 1 (exp b))) 2)) (/ 1 (log (+ 1 (exp b))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* -1 (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (* -1 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))))) (/ 1 (log (+ 1 (exp b))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 b) (#s(alt #s(approx (+ (* 1/2 b) 1) (.f64 #s(literal 1/2 binary64) b)) (patch #s(approx (+ ( 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
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#s(alt (pow b 3) (taylor -inf b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (.f64 b (.f64 b b)) (patch (.f64 b (.f64 b b)) #<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>) () ())) ())
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#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>) () ())) ())
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#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

108 calls:

Time	Variable		Point	Expression
20.0ms	b	@	-inf	(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a)))
20.0ms	b	@	inf	(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a)))
8.0ms	b	@	0	(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a)))
6.0ms	a	@	0	(pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a)))
6.0ms	a	@	0	(/ 1 (- (neg (log (+ (exp a) (exp b)))) a))

simplify422.0ms (4.9%)

Memory

-12.6MiB live, 708.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 820×	`lower-fma.f64`
7 820×	`lower-fma.f32`
5 806×	`lower-*.f64`
5 806×	`lower-*.f32`
4 560×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	702	9709
1	2194	9520
2	7482	9498
0	8114	8635

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 430

Calls

Call 1

Inputs
(/ -1 (log (+ 1 (exp b))))
(- (/ (* a (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (+ 1 (exp b))) 2)) (/ 1 (log (+ 1 (exp b)))))
(- (* a (- (* -1 (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (* -1 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))))) (/ 1 (log (+ 1 (exp b)))))
(- (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3)))) (log (+ 1 (exp b))))) (+ (* -1/6 (/ (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (+ 1 (exp b))) 2))) (* 1/2 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (+ 1 (exp b))) 3))))))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (* -1 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))))) (/ 1 (log (+ 1 (exp b)))))
(/ -1 a)
(/ (- (/ (log (+ (exp a) (exp b))) a) 1) a)
(/ (- (* -1 (/ (pow (log (+ (exp a) (exp b))) 2) (pow a 2))) (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a)))) a)
(/ (- (/ (pow (log (+ (exp a) (exp b))) 3) (pow a 3)) (+ 1 (+ (* -1 (/ (log (+ (exp a) (exp b))) a)) (/ (pow (log (+ (exp a) (exp b))) 2) (pow a 2))))) a)
(/ -1 a)
(* -1 (/ (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))) a))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (log (+ (exp a) (exp b))) 2) a)) (* -1 (log (+ (exp a) (exp b))))) a))) a))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (log (+ (exp a) (exp b))) 3) a)) (* -1 (pow (log (+ (exp a) (exp b))) 2))) a)) (* -1 (log (+ (exp a) (exp b))))) a))) a))
(/ -1 (+ a (log (+ 1 (exp a)))))
(- (/ b (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (+ a (log (+ 1 (exp a))))))
(- (* b (+ (* -1 (* b (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))))) (/ 1 (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))))) (/ 1 (+ a (log (+ 1 (exp a))))))
(- (* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1/6 (/ (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))) (pow (+ a (log (+ 1 (exp a)))) 2))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 3)))))))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))))) (/ 1 (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))))) (/ 1 (+ a (log (+ 1 (exp a))))))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(/ 1 (+ 1 (exp b)))
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(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (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
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(/ 1 (+ 1 (exp b)))
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1/2
(+ 1/2 (* -1/4 b))
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(* -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)))
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(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (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))
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(/ 1 (+ 1 (exp b)))
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(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
64
(+ 64 (* -1 (pow b 6)))
(+ 64 (* -1 (pow b 6)))
(+ 64 (* -1 (pow b 6)))
(* -1 (pow b 6))
(* (pow b 6) (- (* 64 (/ 1 (pow b 6))) 1))
(* (pow b 6) (- (* 64 (/ 1 (pow b 6))) 1))
(* (pow b 6) (- (* 64 (/ 1 (pow b 6))) 1))
(* -1 (pow b 6))
(* (pow b 6) (- (* 64 (/ 1 (pow b 6))) 1))
(* (pow b 6) (- (* 64 (/ 1 (pow b 6))) 1))
(* (pow b 6) (- (* 64 (/ 1 (pow b 6))) 1))
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))))
32
(+ 32 (* -16 b))
(+ 32 (* b (- (* 8 b) 16)))
(+ 32 (* b (- (* b (+ 8 (* -4 b))) 16)))
(* -1 (pow b 5))
(* (pow b 5) (- (* 2 (/ 1 b)) 1))
(* (pow b 5) (- (* 2 (/ 1 b)) (+ 1 (/ 4 (pow b 2)))))
(* (pow b 5) (- (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3)))) (+ 1 (/ 4 (pow b 2)))))
(* -1 (pow b 5))
(* -1 (* (pow b 5) (- 1 (* 2 (/ 1 b)))))
(* -1 (* (pow b 5) (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 b))) b)))))
(* -1 (* (pow b 5) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 b))) b))) 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)))
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)
(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)))
(pow (log (+ 1 (exp b))) 2)
(+ (* 2 (/ (* a (log (+ 1 (exp b)))) (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (pow (log (+ 1 (exp b))) 2))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* a (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))))))) (pow (log (+ 1 (exp b))) 2))
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ 1 (exp a))) 2)
(+ (* 2 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (pow (log (+ 1 (exp a))) 2))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* b (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))) (pow (log (+ 1 (exp a))) 2))
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
(pow (log (+ (exp a) (exp b))) 2)
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 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))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
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 (log (+ 1 (exp b))))
(/.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 b)))
(- (/ (* a (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (+ 1 (exp b))) 2)) (/ 1 (log (+ 1 (exp b)))))
(+.f64 (/.f64 (+.f64 a (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 b))))
(- (* a (- (* -1 (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (* -1 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))))) (/ 1 (log (+ 1 (exp b)))))
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(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 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 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))))))
(fma.f64 a (fma.f64 a (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))) #s(literal 1/2 binary64) (.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)))) (log1p.f64 (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (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)))) (log1p.f64 (exp.f64 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))))))
(fma.f64 b (fma.f64 b (fma.f64 (+.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 b #s(literal 1/6 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)))) (log1p.f64 (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow (log (+ 1 (exp b))) 2)
(pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))
(+ (* 2 (/ (* a (log (+ 1 (exp b)))) (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))
(fma.f64 a (/.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (pow (log (+ 1 (exp b))) 2))
(fma.f64 a (fma.f64 a (fma.f64 (log1p.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* a (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))))))) (pow (log (+ 1 (exp b))) 2))
(fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 (log1p.f64 (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))))) #s(literal 1/3 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 (log1p.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 (.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(+ (* 2 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(fma.f64 b (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (pow (log (+ 1 (exp a))) 2))
(fma.f64 b (fma.f64 b (fma.f64 (log1p.f64 (exp.f64 a)) (-.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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* b (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))) (pow (log (+ 1 (exp a))) 2))
(fma.f64 b (fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 (+.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 (log1p.f64 (exp.f64 a)) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
(pow (log (+ (exp a) (exp b))) 2)
(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 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))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b b))
(pow b 3)
(.f64 b (.f64 b 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)

rewrite398.0ms (4.6%)

Memory

21.6MiB live, 883.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 240×	`lower-/.f32`
4 230×	`lower-/.f64`
4 042×	`lower-*.f32`
4 026×	`lower-*.f64`
3 584×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	375
0	94	329
1	374	288
2	2410	286
0	8752	281

Stop Event

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

Counts

25 → 586

Calls

Call 1

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

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

eval148.0ms (1.7%)

Memory: 27.3MiB live, 451.1MiB allocated
Compiler: Compiled 39 885 to 2 907 computations (92.7% saved)

prune172.0ms (2%)

Memory

1.1MiB live, 408.7MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	1 077	8	1 085
Fresh	7	5	12
Picked	3	2	5
Done	0	6	6
Total	1 087	21	1 108

Accuracy

100.0%

Counts

1 108 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.3%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓	57.3%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	36.0%	(/.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))))
	58.3%	(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
	30.1%	#s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))
✓	82.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	52.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓	47.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
	56.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64)))))))
	55.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))
✓	33.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
	17.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
	17.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b))))))
	32.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
✓	33.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
	33.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 b (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))))
	3.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 b #s(literal -1/4 binary64)))))
✓	33.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
	15.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
✓	36.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
	33.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))

Compiler

Compiled 778 to 304 computations (60.9% saved)

regimes60.0ms (0.7%)

Memory

-10.5MiB live, 143.3MiB allocated

Counts

37 → 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 (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(/.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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 b (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 #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)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 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)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)))))))
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 b b) (+.f64 b b)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 b b) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (+.f64 b b) (+.f64 b b))) (exp.f64 (+.f64 b b)))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)))

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

Calls

5 calls:

14.0ms	(exp.f64 b)
13.0ms	b
12.0ms	a
10.0ms	(exp.f64 a)
9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes61.0ms (0.7%)

Memory

-7.8MiB live, 130.9MiB allocated

Counts

33 → 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 (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(/.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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 b (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 #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)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 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)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)))))))
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

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

Calls

5 calls:

23.0ms	b
10.0ms	a
9.0ms	(exp.f64 b)
9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes47.0ms (0.5%)

Memory

-17.9MiB live, 137.9MiB allocated

Counts

31 → 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 (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(/.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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 b (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 #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)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 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)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)))))))
#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 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 #s(approx (+ (* (log (+ (exp a) (exp b))) -1) a) (-.f64 a (log1p.f64 (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Outputs

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

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

Calls

5 calls:

11.0ms	a
10.0ms	b
8.0ms	(exp.f64 b)
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.4%	2	`a`
99.0%	3	`b`
82.6%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	2	`(exp.f64 a)`
99.0%	3	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes34.0ms (0.4%)

Memory

21.2MiB live, 97.5MiB allocated

Counts

27 → 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 (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(/.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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 b (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 #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)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 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)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)))))))
#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))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
82.6%	1	`b`
82.6%	1	`(exp.f64 b)`
89.3%	2	`(exp.f64 a)`
90.1%	2	`a`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes43.0ms (0.5%)

Memory

-0.7MiB live, 115.7MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(/.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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 b (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 #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)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 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)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (pow (+ 1 (exp b)) -1/2) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b))) #s(literal 8 binary64)) (-.f64 (fma.f64 (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 b (.f64 b #s(literal 1/2 binary64)) b)))))))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64)))))))

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

Calls

5 calls:

10.0ms	(exp.f64 b)
9.0ms	a
9.0ms	b
6.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
76.9%	2	`b`
77.9%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
76.9%	2	`(exp.f64 b)`
65.3%	3	`(exp.f64 a)`
65.7%	3	`a`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-16.6MiB live, 21.7MiB allocated

Counts

21 → 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 (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(/.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))) #s(approx (pow (pow (+ 1 (exp b)) -1/2) 2) #s(approx (+ (* -1/4 b) 1/2) (*.f64 b (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 #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)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 a (+.f64 (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/8 binary64))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 #s(literal 2 binary64) b))))))

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
77.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes18.0ms (0.2%)

Memory

15.4MiB live, 53.4MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.9%	2	`b`
72.9%	2	`(exp.f64 b)`
73.8%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes20.0ms (0.2%)

Memory

11.8MiB live, 51.5MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

8.0ms	(exp.f64 b)
6.0ms	b
5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
68.0%	2	`b`
68.0%	2	`(exp.f64 b)`
69.0%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

-21.7MiB live, 16.6MiB allocated

Counts

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
68.7%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes14.0ms (0.2%)

Memory

5.0MiB live, 43.3MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.2%	3	`b`
68.2%	3	`(exp.f64 b)`
69.0%	3	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
68.9%	3	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes20.0ms (0.2%)

Memory

19.1MiB live, 57.3MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
38.3%	2	`(exp.f64 a)`
38.9%	2	`a`
54.6%	2	`(exp.f64 b)`
54.6%	2	`b`
55.6%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-33.6MiB live, 8.8MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

11.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 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 (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))

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

Outputs

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

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

Calls

1 calls:

1.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes6.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
36.4%	1	`(exp.f64 a)`
36.4%	1	`a`
36.4%	1	`b`
36.4%	1	`(exp.f64 b)`
36.4%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch25.0ms (0.3%)

Memory

2.8MiB live, 73.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-2.0093041885435252e+21	-433088246.7403967

Samples

15.0ms	160×	0	valid
1.0ms	31×	0	exit

Compiler

Compiled 223 to 151 computations (32.3% saved)

Precisions

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

ival-exp: 3.0ms (54.1% of total)

ival-div: 1.0ms (18% of total)

ival-add: 1.0ms (18% of total)

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

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

bsearch13.0ms (0.1%)

Memory

-1.6MiB live, 36.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-2.0093041885435252e+21	-433088246.7403967

Samples

6.0ms	96×	0	valid
1.0ms	24×	0	exit

Compiler

Compiled 223 to 151 computations (32.3% saved)

Precisions

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

ival-exp: 2.0ms (62.6% of total)

ival-div: 1.0ms (31.3% of total)

ival-add: 1.0ms (31.3% of total)

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

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

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.505506018332186	1.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.505506018332186	1.0

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	0.505506018332186	1.0

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	0.505506018332186	1.0

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	0.505506018332186	1.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.505506018332186	1.0
0.0ms	0.0011096484254324432	0.08055775689716599

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.505506018332186	1.0
0.0ms	0.0011096484254324432	0.08055775689716599

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	0.505506018332186	1.0

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	0.505506018332186	1.0

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	0.505506018332186	1.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify20.0ms (0.2%)

Memory

1.7MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
18×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	869
1	163	869
2	176	869
3	186	869
4	192	869
5	194	869

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 a #s(literal -480000000 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 -3500000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64))))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64)))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) ( a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 b b) b))))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b)))))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) ( a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b)))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 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 a #s(literal -480000000 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 -480000000 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -3500000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -3500000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(approx (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2) (*.f64 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64))))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(approx ( (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) (fma.f64 b #s(literal -16 binary64) #s(literal 32 binary64))))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) #s(approx (* (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64)))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) #s(approx ( (- 8 (* b (* b b))) (+ (* b (- b 2)) 4)) #s(literal 32 binary64)))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) ( a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (fma.f64 b #s(approx (+ (* 1/2 b) 1) (.f64 b #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) ( a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 b b) b))))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) #s(approx (+ (* b (+ (* 1/2 b) 1)) 2) (.f64 #s(literal 1/2 binary64) (.f64 b b)))))) (if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) ( a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b)))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 b #s(literal 2 binary64))))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 284574589474297/562949953421312 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))) #s(approx (pow (exp (- (pow (log (+ (exp a) (exp b))) 2) (* a a))) (/ 1 (- (neg (log (+ (exp a) (exp b)))) a))) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64)))

soundness1.4s (16%)

Memory

-1.2MiB live, 1 560.7MiB allocated

Rules

18 438×	`lower-fma.f64`
18 438×	`lower-fma.f32`
11 556×	`lower-fma.f64`
11 556×	`lower-fma.f32`
8 662×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	242
0	57	238
1	235	238
2	1550	238
0	8155	238
0	400	4395
1	1218	4161
2	3938	3990
0	8063	3755
0	189	3725
1	509	3642
2	1429	3562
3	6028	3547
0	8082	3402
0	27	140
0	45	138
1	165	138
2	1218	137
0	8623	137
0	702	9709
1	2194	9520
2	7482	9498
0	8114	8635
0	6	17
0	10	17
1	32	17
2	203	17
3	1936	17
0	8631	17
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640

Stop Event

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

Compiler

Compiled 950 to 478 computations (49.7% saved)

preprocess439.0ms (5.1%)

Memory: -33.0MiB live, 333.5MiB allocated
Compiler: Compiled 742 to 178 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

sample951.0ms (11%)

preprocess87.0ms (1%)

explain83.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize22.0ms (0.3%)

series7.0ms (0.1%)

simplify428.0ms (4.9%)

rewrite299.0ms (3.5%)

eval46.0ms (0.5%)

prune57.0ms (0.7%)

simplify310.0ms (3.6%)

localize191.0ms (2.2%)

series149.0ms (1.7%)

simplify331.0ms (3.8%)

rewrite318.0ms (3.7%)

eval124.0ms (1.4%)

prune128.0ms (1.5%)

simplify24.0ms (0.3%)

localize112.0ms (1.3%)

series23.0ms (0.3%)

simplify329.0ms (3.8%)

rewrite281.0ms (3.2%)

eval95.0ms (1.1%)

prune103.0ms (1.2%)

simplify341.0ms (3.9%)

localize327.0ms (3.8%)

series103.0ms (1.2%)

simplify422.0ms (4.9%)

rewrite398.0ms (4.6%)

eval148.0ms (1.7%)

prune172.0ms (2%)

regimes60.0ms (0.7%)

regimes61.0ms (0.7%)

regimes47.0ms (0.5%)

regimes34.0ms (0.4%)

regimes43.0ms (0.5%)

regimes8.0ms (0.1%)

regimes18.0ms (0.2%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

regimes14.0ms (0.2%)

regimes4.0ms (0%)

regimes20.0ms (0.2%)

regimes12.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch25.0ms (0.3%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify20.0ms (0.2%)

soundness1.4s (16%)

preprocess439.0ms (5.1%)

end0.0ms (0%)

Profiling