Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze6.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB 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)

sample992.0ms (15%)

Memory

-20.2MiB live, 3 333.8MiB allocated

Samples

443.0ms	8 256×	0	valid
167.0ms	2 976×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-exp: 194.0ms (54.7% of total)

ival-div: 84.0ms (23.7% of total)

ival-add: 62.0ms (17.5% of total)

ival-true: 10.0ms (2.8% of total)

ival-assert: 5.0ms (1.4% of total)

Bogosity

explain78.0ms (1.2%)

Memory

28.3MiB live, 349.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (exp.f64 a) (exp.f64 b))`
-	-	`a`
-	-	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
-	-	`(exp.f64 b)`
-	-	`b`
-	-	`(exp.f64 a)`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions

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

ival-exp: 9.0ms (53.9% of total)

ival-div: 4.0ms (23.9% of total)

ival-add: 3.0ms (18% of total)

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

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

preprocess87.0ms (1.3%)

Memory

4.1MiB live, 84.6MiB 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)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

Compiler

Compiled 10 to 6 computations (40% saved)

eval1.0ms (0%)

Memory: -38.9MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 b)
cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

-18.7MiB live, 101.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 b)
accuracy	0	(exp.f64 a)
accuracy	0.00390625	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
accuracy	0.00390625	(+.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: 9.0ms

ival-exp: 4.0ms (46.8% of total)

ival-div: 2.0ms (23.4% of total)

ival-add: 2.0ms (23.4% of total)

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

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

series9.0ms (0.1%)

Memory

34.4MiB live, 34.4MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify176.0ms (2.7%)

Memory

8.7MiB live, 401.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite182.0ms (2.8%)

Memory

-35.6MiB live, 411.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 314

Calls

Call 1

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

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

eval47.0ms (0.7%)

Memory: 17.7MiB live, 174.2MiB allocated
Compiler: Compiled 11 221 to 1 166 computations (89.6% saved)

prune56.0ms (0.8%)

Memory

-2.5MiB live, 238.3MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	411	2	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	2	414

Accuracy

100.0%

Counts

414 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	81.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 b)
cost-diff	0	(+.f64 (exp.f64 b) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Rules

12×	`lower-+.f32`
8×	`lower-+.f64`
6×	`lower-/.f32`
6×	`+-commutative`
4×	`lift-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	22	54
1	27	54
0	27	54

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.7%)

Memory

-5.9MiB live, 162.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 a)
accuracy	0.00390625	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	0.00390625	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	30.960542683922206	#s(approx (exp b) #s(literal 1 binary64))
accuracy	0	(exp.f64 b)
accuracy	0.00390625	(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy	11.791922936796075	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Samples

33.0ms

256×

valid

Compiler

Compiled 43 to 11 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 5.0ms (42.3% of total)

ival-div: 3.0ms (25.4% of total)

ival-add: 3.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-15.4MiB live, 25.2MiB allocated

Counts

8 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(/ 1 (+ (exp b) 1))
0.0ms	b	@	-inf	(/ 1 (+ (exp b) 1))
0.0ms	b	@	0	(/ 1 (+ (exp b) 1))
0.0ms	a	@	0	(/ (exp a) (+ (exp a) (exp b)))
0.0ms	b	@	0	(+ (exp b) 1)

simplify178.0ms (2.7%)

Memory

18.9MiB live, 373.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 076×	`lower-fma.f64`
19 076×	`lower-fma.f32`
4 332×	`lower-*.f64`
4 332×	`lower-*.f32`
3 026×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1422
1	374	1392
2	1055	1358
3	3945	1306
0	8097	1230

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite166.0ms (2.5%)

Memory

-24.5MiB live, 375.0MiB allocated

Rules

3 928×	`lower-*.f64`
3 928×	`lower-*.f32`
3 346×	`lower-fma.f64`
3 346×	`lower-fma.f32`
2 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
0	22	50
1	81	50
2	506	50
3	4901	50
0	8141	48

Stop Event

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

Counts

8 → 346

Calls

Call 1

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

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

eval56.0ms (0.9%)

Memory: 3.1MiB live, 203.0MiB allocated
Compiler: Compiled 8 933 to 1 076 computations (88% saved)

prune77.0ms (1.2%)

Memory

-14.0MiB live, 310.9MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	490	11	501
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	491	12	503

Accuracy

100.0%

Counts

503 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	64.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	64.4%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	81.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	34.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64))))
	52.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	49.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶	34.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
▶	33.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	33.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	34.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶	36.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 271 to 162 computations (40.2% saved)

simplify14.0ms (0.2%)

Memory

10.0MiB live, 49.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

492×	`lower-fma.f32`
482×	`lower-fma.f64`
198×	`lower-*.f32`
196×	`lower-*.f64`
184×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	270
0	58	270
1	80	270
2	110	270
3	222	270
4	406	270
5	457	270
6	463	270
0	463	270

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (1.4%)

Memory

21.0MiB live, 257.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64))
accuracy	0.07421875	(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
accuracy	11.791922936796075	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy	30.506316932169423	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy	0.00390625	(+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	11.791922936796075	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64))))
accuracy	30.183087163889816	#s(approx (exp b) (+.f64 b #s(literal 1 binary64)))
accuracy	0	(+.f64 #s(literal 2 binary64) b)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
accuracy	11.791922936796075	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
accuracy	30.32075307809004	#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
accuracy	11.791922936796075	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy	29.054040925687563	#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy	0.00390625	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	0.00390625	(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	18.37565650134741	#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
accuracy	30.960542683922206	#s(approx (exp b) #s(literal 1 binary64))

Samples

55.0ms

256×

valid

Compiler

Compiled 161 to 29 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-add: 11.0ms (29.2% of total)

ival-mult: 10.0ms (26.5% of total)

const: 8.0ms (21.2% of total)

ival-div: 4.0ms (10.6% of total)

ival-exp: 4.0ms (10.6% of total)

exact: 1.0ms (2.7% of total)

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

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

series19.0ms (0.3%)

Memory

-2.0MiB live, 38.7MiB allocated

Counts

20 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

simplify174.0ms (2.6%)

Memory

-5.6MiB live, 265.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 948×	`lower-fma.f64`
12 948×	`lower-fma.f32`
3 948×	`lower-*.f64`
3 948×	`lower-*.f32`
3 128×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	3652
1	471	3577
2	1352	3492
3	4863	3382
0	8424	3213

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 310

Calls

Call 1

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

rewrite164.0ms (2.5%)

Memory

2.9MiB live, 283.6MiB allocated

Rules

4 556×	`lower-*.f32`
4 554×	`lower-*.f64`
4 352×	`lower-/.f32`
4 346×	`lower-/.f64`
3 248×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	239
0	58	239
1	242	239
2	1651	239
0	8091	239

Stop Event

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

Counts

20 → 290

Calls

Call 1

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

Outputs
(.f64 (/.f64 (exp.f64 a) (.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))))
(.f64 (/.f64 (exp.f64 a) (.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(.f64 (/.f64 (exp.f64 a) (fma.f64 (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)) (.f64 (.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))) (/.f64 #s(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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))))
(.f64 (/.f64 (exp.f64 a) (fma.f64 (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)) (.f64 (.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) (-.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (*.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))
(pow.f64 (/.f64 (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))))
(/.f64 (.f64 (exp.f64 a) (-.f64 (.f64 (.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (.f64 (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))) (.f64 (.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))) (-.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (fma.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (fma.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)) (.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))))))
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(-.f64 (/.f64 (.f64 #s(literal 1/230400 binary64) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))
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eval73.0ms (1.1%)

Memory: 10.1MiB live, 168.7MiB allocated
Compiler: Compiled 15 976 to 1 166 computations (92.7% saved)

prune103.0ms (1.6%)

Memory

4.8MiB live, 248.4MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	591	9	600
Fresh	2	4	6
Picked	1	4	5
Done	0	1	1
Total	594	18	612

Accuracy

100.0%

Counts

612 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.4%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	36.4%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
▶	36.5%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	52.2%	(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
▶	52.2%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	34.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))))) (.f64 (fma.f64 (.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))))))
✓	81.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓	34.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64))))
	52.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	49.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶	34.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
	35.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.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))))))
✓	34.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
✓	33.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	33.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
▶	34.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	16.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
✓	36.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 624 to 285 computations (54.3% saved)

simplify148.0ms (2.2%)

Memory

-10.5MiB live, 262.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b 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 (*.f64 b 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 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b 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 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
cost-diff	0	#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff	0	#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))

Rules

14 900×	`lower-fma.f32`
14 892×	`lower-fma.f64`
4 204×	`lower-*.f32`
4 194×	`lower-*.f64`
2 412×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	495
0	75	485
1	132	443
2	264	415
3	677	415
4	1895	415
5	4496	415
0	8502	407

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) 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)
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
a
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
a
#s(literal 1 binary64)
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64))
(-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (*.f64 b b) b)))
#s(literal 64 binary64)
(.f64 (.f64 (.f64 b b) b) (.f64 (*.f64 b b) b))
(.f64 (.f64 b b) b)
(*.f64 b b)
b
(.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b))
#s(literal 8 binary64)
(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)

Outputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
(exp.f64 a)
a
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
b
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) 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)
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
a
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
#s(literal 1/2 binary64)
a
#s(literal 1 binary64)
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b 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 (+ (exp b) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) b) b #s(literal -64 binary64)) (.f64 (fma.f64 (.f64 b b) b #s(literal -8 binary64)) (fma.f64 (-.f64 b #s(literal 2 binary64)) b #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) b) b #s(literal -64 binary64)) (.f64 (fma.f64 (.f64 b b) b #s(literal -8 binary64)) (fma.f64 (-.f64 b #s(literal 2 binary64)) b #s(literal 4 binary64))))))
#s(literal 1 binary64)
#s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))
#s(approx (+ (exp b) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) b) b #s(literal -64 binary64)) (.f64 (fma.f64 (.f64 b b) b #s(literal -8 binary64)) (fma.f64 (-.f64 b #s(literal 2 binary64)) b #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) b) b #s(literal -64 binary64)) (.f64 (fma.f64 (.f64 b b) b #s(literal -8 binary64)) (fma.f64 (-.f64 b #s(literal 2 binary64)) b #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64))
(neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) b) b #s(literal -64 binary64)))
(-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (*.f64 b b) b)))
(neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) b) b #s(literal -64 binary64)))
#s(literal 64 binary64)
(.f64 (.f64 (.f64 b b) b) (.f64 (*.f64 b b) b))
(.f64 (.f64 (.f64 (.f64 (*.f64 b b) b) b) b) b)
(.f64 (.f64 b b) b)
(*.f64 b b)
b
(.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (fma.f64 (-.f64 #s(literal 2 binary64) b) b #s(literal -4 binary64)) (fma.f64 (.f64 b b) b #s(literal -8 binary64)))
(-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b))
#s(literal 8 binary64)
(fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 (-.f64 b #s(literal 2 binary64)) b #s(literal 4 binary64))
(-.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)

localize138.0ms (2.1%)

Memory

-20.8MiB live, 304.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (.f64 b b) b)
accuracy	11.791922936796075	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
accuracy	25.034085452762646	(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
accuracy	30.32075307809004	#s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))
accuracy	0.00390625	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	0.00390625	(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	18.37565650134742	#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
accuracy	30.960542683922228	#s(approx (exp b) #s(literal 1 binary64))
accuracy	0.00390625	(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	18.37565650134742	#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
accuracy	18.85207122401785	#s(approx (exp a) #s(literal 1 binary64))
accuracy	30.960542683922228	#s(approx (exp b) #s(literal 1 binary64))
accuracy	0.04296875	(fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy	11.791922936796075	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy	30.35349065676135	#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64))
accuracy	30.506316932169423	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy	0.00390625	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	0.00390625	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	18.85207122401785	#s(approx (exp a) #s(literal 1 binary64))
accuracy	30.960542683922228	#s(approx (exp b) #s(literal 1 binary64))

Samples

70.0ms

256×

valid

Compiler

Compiled 274 to 40 computations (85.4% saved)

Precisions

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

ival-mult: 16.0ms (33.2% of total)

ival-add: 11.0ms (22.8% of total)

const: 7.0ms (14.5% of total)

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

ival-exp: 4.0ms (8.3% of total)

ival-sub: 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)

series24.0ms (0.4%)

Memory

9.2MiB live, 49.8MiB allocated

Counts

21 → 336

Calls

Call 1

Inputs
#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) (patch #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) (patch #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))) (patch (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (patch #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (patch (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 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 #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (+ 1 (exp b))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (patch (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 2 b) (taylor 0 b) (#s(alt #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b 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 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (.f64 (.f64 b b) b) (patch (.f64 (.f64 b b) b) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(+ (* 1/2 a) 1)
1.0ms	b	@	inf	(/ (* (- 64 (* (* (* b b) b) (* (* b b) b))) 1) (* (- 8 (* (* b b) b)) (+ (* b (- b 2)) 4)))
1.0ms	b	@	0	(/ (* (- 64 (* (* (* b b) b) (* (* b b) b))) 1) (* (- 8 (* (* b b) b)) (+ (* b (- b 2)) 4)))
1.0ms	b	@	inf	(* (- 64 (* (* (* b b) b) (* (* b b) b))) 1)
0.0ms	b	@	-inf	(/ (* (- 64 (* (* (* b b) b) (* (* b b) b))) 1) (* (- 8 (* (* b b) b)) (+ (* b (- b 2)) 4)))

simplify161.0ms (2.4%)

Memory

8.7MiB live, 240.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 598×	`lower-fma.f64`
12 598×	`lower-fma.f32`
4 704×	`lower-*.f64`
4 704×	`lower-*.f32`
3 082×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	3792
1	674	3696
2	1855	3611
3	6855	3600
0	8124	3464

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 334

Calls

Call 1

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

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 a (exp.f64 b)) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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1
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1
#s(literal 1 binary64)
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(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
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(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
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(* 1/2 (pow a 2))
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(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
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1
#s(literal 1 binary64)
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64
#s(literal 64 binary64)
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2
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b
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32
#s(literal 32 binary64)
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(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)
(pow b 3)
(.f64 (.f64 b b) b)

rewrite204.0ms (3.1%)

Memory

-2.6MiB live, 357.0MiB allocated

Rules

4 328×	`lower-/.f32`
4 318×	`lower-/.f64`
3 916×	`lower-*.f32`
3 906×	`lower-*.f64`
3 496×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	350
0	75	308
1	337	282
2	2381	282
0	8274	274

Stop Event

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

Counts

21 → 486

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b 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 (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (.f64 b b) b)

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

eval137.0ms (2.1%)

Memory: 15.3MiB live, 322.4MiB allocated
Compiler: Compiled 37 687 to 2 257 computations (94% saved)

prune156.0ms (2.4%)

Memory

0.7MiB live, 377.9MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 130	10	1 140
Fresh	4	4	8
Picked	3	2	5
Done	1	4	5
Total	1 138	20	1 158

Accuracy

100.0%

Counts

1 158 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	36.5%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	36.6%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	25.9%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (exp b) #s(literal 1 binary64))))
	36.5%	(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	11.0%	(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	57.0%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	52.2%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	44.2%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal -1 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
	37.4%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
	41.5%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
✓	81.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
	52.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	49.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	57.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) #s(approx (* (- 8 (* (* b b) b)) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))
✓	34.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
✓	33.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	33.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
✓	34.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	16.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)))))
✓	36.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 834 to 273 computations (67.3% saved)

regimes109.0ms (1.7%)

Memory

-17.7MiB live, 99.7MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

5 calls:

70.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	a
10.0ms	b
9.0ms	(exp.f64 b)
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
100.0%	1	`(exp.f64 a)`
100.0%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes46.0ms (0.7%)

Memory

27.0MiB live, 107.5MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

11.0ms	b
9.0ms	a
9.0ms	(exp.f64 a)
8.0ms	(exp.f64 b)
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
99.7%	2	`a`
99.5%	3	`b`
81.6%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.7%	2	`(exp.f64 a)`
99.5%	3	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes60.0ms (0.9%)

Memory

-4.9MiB live, 73.9MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
94.8%	3	`b`
94.8%	3	`(exp.f64 b)`
97.5%	3	`a`
92.4%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes36.0ms (0.6%)

Memory

5.9MiB live, 84.0MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

11.0ms	a
10.0ms	b
7.0ms	(exp.f64 b)
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
70.4%	2	`(exp.f64 a)`
90.7%	3	`b`
89.6%	3	`(exp.f64 b)`
74.7%	3	`a`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.2%)

Memory

-0.9MiB live, 38.0MiB allocated

Counts

21 → 4

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))

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

Calls

2 calls:

8.0ms	b
5.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
84.5%	3	`(exp.f64 b)`
87.8%	4	`b`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

-18.2MiB live, 20.5MiB allocated

Counts

18 → 4

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
87.5%	4	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
85.9%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.3%)

Memory

-2.6MiB live, 42.2MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))

Outputs

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

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

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

Calls

3 calls:

9.0ms	b
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
81.5%	3	`(exp.f64 b)`
70.8%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
82.3%	3	`b`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory

-22.3MiB live, 16.9MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
82.2%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	b
3.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
78.0%	3	`(exp.f64 b)`
79.3%	3	`b`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes18.0ms (0.3%)

Memory

-28.8MiB live, 50.7MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
60.8%	2	`(exp.f64 a)`
67.4%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
61.8%	2	`a`
67.4%	2	`(exp.f64 b)`
68.4%	2	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes17.0ms (0.3%)

Memory

3.9MiB live, 46.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
49.8%	1	`(exp.f64 a)`
49.8%	1	`a`
52.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
52.7%	2	`(exp.f64 b)`
52.7%	2	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes302.0ms (4.6%)

Memory

-0.9MiB live, 38.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

289.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	b
3.0ms	a
3.0ms	(exp.f64 a)
2.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
37.4%	1	`a`
37.4%	1	`(exp.f64 a)`
37.4%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
37.4%	1	`b`
37.4%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory

-10.5MiB live, 29.1MiB allocated

Accuracy

Total -2.4b remaining (-5.9%)

Threshold costs -2.4b (-5.9%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
36.7%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
36.7%	1	`a`
36.7%	1	`b`
36.7%	1	`(exp.f64 a)`
36.7%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9590524024428468

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch24.0ms (0.4%)

Memory

13.9MiB live, 53.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
18.0ms	-7.680958133385781e+62	-2.6294947726113995e+49
4.0ms	-1.6049524893692697e+159	-3.1747184513265573e+152

Samples

10.0ms	192×	0	valid
2.0ms	43×	0	exit

Compiler

Compiled 529 to 255 computations (51.8% saved)

Precisions

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

ival-exp: 3.0ms (45.2% of total)

ival-div: 2.0ms (30.2% of total)

ival-add: 1.0ms (15.1% of total)

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

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

bsearch32.0ms (0.5%)

Memory

17.3MiB live, 57.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.269590701783698e+42	2.891006689017428e+55
16.0ms	-5169170.147959952	-1.6369737787242168e-8

Samples

17.0ms

320×

valid

Compiler

Compiled 893 to 461 computations (48.4% saved)

Precisions

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

ival-exp: 5.0ms (53.7% of total)

ival-div: 2.0ms (21.5% of total)

ival-add: 2.0ms (21.5% of total)

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

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

bsearch27.0ms (0.4%)

Memory

-19.0MiB live, 60.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.084217221372487e+77	3.1842766728722547e+82
10.0ms	8514.548703273973	217428.73892099006
2.0ms	-5169170.147959952	-1.6369737787242168e-8

Samples

13.0ms

256×

valid

Compiler

Compiled 1 088 to 573 computations (47.3% saved)

Precisions

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

ival-exp: 4.0ms (49.5% of total)

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

ival-add: 1.0ms (12.4% of total)

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

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

bsearch11.0ms (0.2%)

Memory

-15.6MiB live, 23.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.084217221372487e+77	3.1842766728722547e+82
1.0ms	8514.548703273973	217428.73892099006
6.0ms	-5169170.147959952	-1.6369737787242168e-8

Samples

3.0ms

64×

valid

Compiler

Compiled 1 018 to 563 computations (44.7% saved)

Precisions

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

ival-exp: 1.0ms (50.7% of total)

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

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

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

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

bsearch12.0ms (0.2%)

Memory

29.1MiB live, 29.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.158923858400783e+83	8.029431902861846e+84
1.0ms	-5169170.147959952	-1.6369737787242168e-8

Samples

5.0ms

112×

valid

Compiler

Compiled 632 to 365 computations (42.2% saved)

Precisions

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

ival-exp: 2.0ms (66.4% of total)

ival-div: 1.0ms (33.2% of total)

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

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

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

bsearch10.0ms (0.2%)

Memory

-21.4MiB live, 19.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.158923858400783e+83	8.029431902861846e+84
9.0ms	-1.6369737787242168e-8	-8.004886114775265e-9

Samples

6.0ms

80×

valid

Compiler

Compiled 440 to 253 computations (42.5% saved)

Precisions

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

ival-exp: 1.0ms (44.3% of total)

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

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

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

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

bsearch11.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.158923858400783e+83	8.029431902861846e+84
9.0ms	-5169170.147959952	-1.6369737787242168e-8

Samples

5.0ms

96×

valid

Compiler

Compiled 581 to 331 computations (43% saved)

Precisions

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

ival-exp: 2.0ms (70.2% of total)

ival-div: 1.0ms (35.1% of total)

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

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

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

bsearch11.0ms (0.2%)

Memory

-18.0MiB live, 21.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.2555147729505555e+116	4.710227949314119e+117
1.0ms	-5169170.147959952	-1.6369737787242168e-8

Samples

5.0ms

96×

valid

Compiler

Compiled 529 to 299 computations (43.5% saved)

Precisions

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

ival-div: 1.0ms (40.3% of total)

ival-exp: 1.0ms (40.3% of total)

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

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

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

bsearch16.0ms (0.2%)

Memory

-3.3MiB live, 36.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-2.5381977242962562e-79	-6.092015085485188e-91

Samples

8.0ms

160×

valid

Compiler

Compiled 313 to 191 computations (39% saved)

Precisions

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

ival-exp: 2.0ms (46.8% of total)

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

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

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

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

bsearch35.0ms (0.5%)

Memory

-2.3MiB live, 37.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	1.2126629070873166e-10	0.0019108978812591483

Samples

28.0ms

144×

valid

Compiler

Compiled 256 to 155 computations (39.5% saved)

Precisions

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

ival-div: 22.0ms (87.2% of total)

ival-exp: 2.0ms (7.9% of total)

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

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

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

simplify24.0ms (0.4%)

Memory

-3.2MiB live, 39.4MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`+-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	148	963
1	172	963
2	184	963
3	194	963
4	200	963
5	202	963

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 a #s(literal -759999999999999967243213596600093863125514086168172201074753536 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) 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 b #s(literal -3715469692580659/562949953421312 binary64)) (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 2300000000000000050869581740277537991052282430488576 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) #s(approx ( (- 8 (* (* b b) b)) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))))
(if (<=.f64 b #s(literal -3715469692580659/562949953421312 binary64)) (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 20000 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ ( (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))))
(if (<=.f64 b #s(literal -6530219459687219/2251799813685248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 20000 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))))
(if (<=.f64 b #s(literal -6530219459687219/2251799813685248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8000000000000000462132879184927173619498137016768513096784334905877698672135396917248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -4835703278458517/302231454903657293676544 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8000000000000000462132879184927173619498137016768513096784334905877698672135396917248 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -2476979795053773/2251799813685248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8000000000000000462132879184927173619498137016768513096784334905877698672135396917248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -2476979795053773/2251799813685248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 4599999999999999756609209826793760801993405720899405982644546621359244548046908911985700908899085315124651400672313344 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 4835703278458517/38685626227668133590597632 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 a #s(literal -759999999999999967243213596600093863125514086168172201074753536 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) 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 -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 a #s(literal -759999999999999967243213596600093863125514086168172201074753536 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) 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 b #s(literal -3715469692580659/562949953421312 binary64)) (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 2300000000000000050869581740277537991052282430488576 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) #s(approx ( (- 8 (* (* b b) b)) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))))
(if (<=.f64 b #s(literal -3715469692580659/562949953421312 binary64)) (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 2300000000000000050869581740277537991052282430488576 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) #s(approx (* (- 8 (* (* b b) b)) (+ (* b (- b 2)) 4)) #s(literal 32 binary64))))))))
(if (<=.f64 b #s(literal -3715469692580659/562949953421312 binary64)) (/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 20000 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ ( (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))))
(if (<=.f64 b #s(literal -6530219459687219/2251799813685248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 20000 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (/.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))))
(if (<=.f64 b #s(literal -6530219459687219/2251799813685248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8000000000000000462132879184927173619498137016768513096784334905877698672135396917248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -4835703278458517/302231454903657293676544 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8000000000000000462132879184927173619498137016768513096784334905877698672135396917248 binary64)) (/.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -4835703278458517/302231454903657293676544 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8000000000000000462132879184927173619498137016768513096784334905877698672135396917248 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -2476979795053773/2251799813685248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 8000000000000000462132879184927173619498137016768513096784334905877698672135396917248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -2476979795053773/2251799813685248 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 4599999999999999756609209826793760801993405720899405982644546621359244548046908911985700908899085315124651400672313344 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (fma.f64 #s(approx (+ (* 1/2 a) 1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 4835703278458517/38685626227668133590597632 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 4835703278458517/38685626227668133590597632 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.8s (27.7%)

Memory

-487.3MiB live, 1 486.0MiB allocated

Rules

19 076×	`lower-fma.f64`
19 076×	`lower-fma.f32`
18 438×	`lower-fma.f64`
18 438×	`lower-fma.f32`
12 948×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	3792
1	674	3696
2	1855	3611
3	6855	3600
0	8124	3464
0	175	3652
1	471	3577
2	1352	3492
3	4863	3382
0	8424	3213
0	140	1422
1	374	1392
2	1055	1358
3	3945	1306
0	8097	1230
0	38	239
0	58	239
1	242	239
2	1651	239
0	8091	239
0	50	350
0	75	308
1	337	282
2	2381	282
0	8274	274
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 722 to 799 computations (53.6% saved)

preprocess87.0ms (1.3%)

Memory: 9.1MiB live, 286.6MiB allocated
Compiler: Compiled 1 186 to 238 computations (79.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	38	270
0	58	270
1	80	270
2	110	270
3	222	270
4	406	270
5	457	270
6	463	270
0	463	270

Iter	Nodes	Cost
0	38	270
0	58	270
1	80	270
2	110	270
3	222	270
4	406	270
5	457	270
6	463	270
0	463	270

start0.0ms (0%)

analyze6.0ms (0.1%)

sample992.0ms (15%)

explain78.0ms (1.2%)

preprocess87.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (0.4%)

series9.0ms (0.1%)

simplify176.0ms (2.7%)

rewrite182.0ms (2.8%)

eval47.0ms (0.7%)

prune56.0ms (0.8%)

simplify4.0ms (0.1%)

localize45.0ms (0.7%)

series8.0ms (0.1%)

simplify178.0ms (2.7%)

rewrite166.0ms (2.5%)

eval56.0ms (0.9%)

prune77.0ms (1.2%)

simplify14.0ms (0.2%)

localize93.0ms (1.4%)

series19.0ms (0.3%)

simplify174.0ms (2.6%)

rewrite164.0ms (2.5%)

eval73.0ms (1.1%)

prune103.0ms (1.6%)

simplify148.0ms (2.2%)

localize138.0ms (2.1%)

series24.0ms (0.4%)

simplify161.0ms (2.4%)

rewrite204.0ms (3.1%)

eval137.0ms (2.1%)

prune156.0ms (2.4%)

regimes109.0ms (1.7%)

regimes46.0ms (0.7%)

regimes60.0ms (0.9%)

regimes36.0ms (0.6%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes19.0ms (0.3%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes18.0ms (0.3%)

regimes17.0ms (0.3%)

regimes302.0ms (4.6%)

regimes13.0ms (0.2%)

bsearch0.0ms (0%)

bsearch24.0ms (0.4%)

bsearch32.0ms (0.5%)

bsearch27.0ms (0.4%)

bsearch11.0ms (0.2%)

bsearch12.0ms (0.2%)

bsearch10.0ms (0.2%)

bsearch11.0ms (0.2%)

bsearch11.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch35.0ms (0.5%)

simplify24.0ms (0.4%)

soundness1.8s (27.7%)

preprocess87.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	38	270
0	58	270
1	80	270
2	110	270
3	222	270
4	406	270
5	457	270
6	463	270
0	463	270