Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB 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)

sample917.0ms (15.6%)

Memory

-31.4MiB live, 1 482.8MiB allocated

Samples

403.0ms	8 256×	0	valid
147.0ms	2 878×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-exp: 163.0ms (53.2% of total)

ival-div: 74.0ms (24.1% of total)

ival-add: 57.0ms (18.6% of total)

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

ival-assert: 5.0ms (1.6% of total)

Bogosity

explain70.0ms (1.2%)

Memory

3.8MiB live, 125.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	o/o	1	0
↳	`(exp.f64 a)`	overflow	1
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	70
↳	`(exp.f64 a)`	overflow	1
↳	`(exp.f64 b)`	overflow	69
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	u/u	1	0
↳	`(exp.f64 a)`	underflow	80
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	80
↳	`(exp.f64 b)`	underflow	39

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

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

ival-exp: 8.0ms (57.3% of total)

ival-div: 3.0ms (21.5% of total)

ival-add: 2.0ms (14.3% of total)

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

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

preprocess86.0ms (1.5%)

Memory

5.9MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

-7.0MiB live, 32.2MiB 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) (exp.f64 b))
accuracy	0.5000013750216392	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

15.0ms

256×

valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

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

ival-exp: 4.0ms (51.7% of total)

ival-div: 3.0ms (38.8% of total)

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

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

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

series6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

6 calls:

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

simplify160.0ms (2.7%)

Memory

14.4MiB live, 208.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite163.0ms (2.8%)

Memory

-14.9MiB live, 231.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 314

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval43.0ms (0.7%)

Memory: 11.5MiB live, 88.2MiB allocated
Compiler: Compiled 10 984 to 1 193 computations (89.1% saved)

prune9.0ms (0.1%)

Memory

-19.6MiB live, 25.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

99.7%

Counts

414 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	98.7%	(/.f64 (exp.f64 a) (*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
▶	78.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	68.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Compiler

Compiled 54 to 37 computations (31.5% saved)

simplify153.0ms (2.6%)

Memory

-5.3MiB live, 74.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp b) #s(literal 1 binary64))
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
cost-diff	39168	(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff	0	(exp.f64 b)
cost-diff	0	(+.f64 (exp.f64 b) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
cost-diff	0	(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
cost-diff	0	(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))
cost-diff	0	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	200
0	47	176
1	66	176
2	87	176
3	127	176
4	198	174
5	354	172
6	707	172
7	1133	172
8	1706	172
9	2324	172
10	2856	172
11	3296	172
12	3592	172
13	3772	172
14	3808	172
15	3831	172
16	3919	172
17	3952	172
18	3952	172
0	3952	172

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (1.3%)

Memory

6.4MiB live, 126.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	0.5000013750216392	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	11.05198624815103	#s(approx (exp b) #s(literal 1 binary64))
accuracy	0.00390625	(+.f64 (exp.f64 b) (exp.f64 a))
accuracy	0.328125	(pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
accuracy	0.34765625	(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
accuracy	0.5000013750216392	(/.f64 (exp.f64 a) (*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
accuracy	0	(exp.f64 b)
accuracy	0.00390625	(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy	14.077324587651054	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
accuracy	0.00390625	(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
accuracy	0.00390625	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
accuracy	0.2460965010508252	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy	9.37099773027527	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Samples

41.0ms	188×	0	valid
19.0ms	68×	1	exit

Compiler

Compiled 350 to 49 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 13.0ms (29.5% of total)

ival-pow: 12.0ms (27.2% of total)

adjust: 5.0ms (11.3% of total)

ival-add: 5.0ms (11.3% of total)

ival-exp: 4.0ms (9.1% of total)

ival-mult: 3.0ms (6.8% of total)

ival-sub: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

10.0MiB live, 48.8MiB allocated

Counts

17 → 336

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1)) (/ (exp a) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1))) (exp a) (pow (pow (+ (exp b) (exp a)) -1/2) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ 1 (exp a))) (+ (exp b) (exp a)))
4.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1)) (/ (exp a) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1))) (exp a) (pow (pow (+ (exp b) (exp a)) -1/2) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ 1 (exp a))) (+ (exp b) (exp a)))
3.0ms	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1)) (/ (exp a) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1))) (exp a) (pow (pow (+ (exp b) (exp a)) -1/2) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ 1 (exp a))) (+ (exp b) (exp a)))
3.0ms	a	@	0	((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1)) (/ (exp a) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1))) (exp a) (pow (pow (+ (exp b) (exp a)) -1/2) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ 1 (exp a))) (+ (exp b) (exp a)))
3.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1)) (/ (exp a) (* (pow (pow (+ (exp b) (exp a)) -1/2) -1) (pow (pow (+ (exp b) (exp a)) -1/2) -1))) (exp a) (pow (pow (+ (exp b) (exp a)) -1/2) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ 1 (exp a))) (+ (exp b) (exp a)))

simplify137.0ms (2.3%)

Memory

-6.6MiB live, 192.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	4201
1	942	3999
2	3063	3775
0	8037	3634

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

rewrite152.0ms (2.6%)

Memory

1.0MiB live, 240.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	167
0	47	141
1	195	136
2	1362	136
0	8734	136

Stop Event

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

Counts

17 → 689

Calls

Call 1

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

Outputs
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eval166.0ms (2.8%)

Memory: -13.7MiB live, 308.3MiB allocated
Compiler: Compiled 32 432 to 3 342 computations (89.7% saved)

prune33.0ms (0.6%)

Memory

23.6MiB live, 103.0MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 376	13	1 389
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 378	15	1 393

Accuracy

99.7%

Counts

1 393 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	69.0%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
▶	98.7%	(exp.f64 (-.f64 a (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64))))
	77.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	78.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
	54.6%	#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)))))
	51.4%	#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)))))
▶	37.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	37.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
▶	37.2%	#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))))
	36.7%	#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))))
	37.4%	#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))))
▶	38.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
	37.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/6 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal -1/2 binary64) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))) a (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
	37.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))

Compiler

Compiled 357 to 308 computations (13.7% saved)

simplify155.0ms (2.6%)

Memory

-17.3MiB live, 68.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
cost-diff	0	(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	(+.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	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
cost-diff	0	(*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64))
cost-diff	128	(-.f64 a (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)))
cost-diff	6720	(exp.f64 (-.f64 a (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	249
0	60	249
1	84	248
2	128	248
3	246	245
4	451	245
5	552	245
6	667	245
7	788	245
8	937	245
9	1030	245
10	1105	245
11	1313	245
12	1690	245
13	2937	245
14	3434	245
15	3852	245
16	3931	245
17	3959	245
18	3974	245
19	3989	245
20	3989	245
21	3992	245
0	3992	244

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize191.0ms (3.2%)

Memory

12.6MiB live, 291.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
accuracy	0.5000013750216392	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
accuracy	11.05198624815103	#s(approx (exp b) #s(literal 1 binary64))
accuracy	14.430240730913566	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.01171875	(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	0.0390625	(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
accuracy	9.886364706598597	#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	14.077324587651054	#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	0	(+.f64 #s(literal 2 binary64) b)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
accuracy	10.571274378628644	#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
accuracy	14.077324587651054	#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	9.47327697110607	#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy	14.077324587651054	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy	0.00390625	(+.f64 (exp.f64 b) (exp.f64 a))
accuracy	0.00390625	(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
accuracy	0.01953125	(exp.f64 (-.f64 a (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64))))
accuracy	21.672841931474398	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))

Samples

73.0ms	68×	4	exit
36.0ms	41×	2	valid
29.0ms	47×	1	valid
24.0ms	100×	0	valid

Compiler

Compiled 355 to 62 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-exp: 28.0ms (21.7% of total)

ival-log: 26.0ms (20.2% of total)

adjust: 22.0ms (17.1% of total)

ival-add: 14.0ms (10.9% of total)

ival-mult: 13.0ms (10.1% of total)

const: 9.0ms (7% of total)

ival-div: 8.0ms (6.2% of total)

ival-sqrt: 5.0ms (3.9% of total)

ival-sub: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series140.0ms (2.4%)

Memory

11.4MiB live, 210.6MiB allocated

Counts

22 → 396

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	b	@	inf	((exp (- a (* (log (sqrt (+ (exp b) (exp a)))) 2))) (- a (* (log (sqrt (+ (exp b) (exp a)))) 2)) (* (log (sqrt (+ (exp b) (exp a)))) 2) (log (sqrt (+ (exp b) (exp a)))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (sqrt (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* -1/480 (* b b)) 1/48) (exp b))
34.0ms	a	@	-inf	((exp (- a (* (log (sqrt (+ (exp b) (exp a)))) 2))) (- a (* (log (sqrt (+ (exp b) (exp a)))) 2)) (* (log (sqrt (+ (exp b) (exp a)))) 2) (log (sqrt (+ (exp b) (exp a)))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (sqrt (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* -1/480 (* b b)) 1/48) (exp b))
21.0ms	a	@	inf	((exp (- a (* (log (sqrt (+ (exp b) (exp a)))) 2))) (- a (* (log (sqrt (+ (exp b) (exp a)))) 2)) (* (log (sqrt (+ (exp b) (exp a)))) 2) (log (sqrt (+ (exp b) (exp a)))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (sqrt (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* -1/480 (* b b)) 1/48) (exp b))
18.0ms	b	@	-inf	((exp (- a (* (log (sqrt (+ (exp b) (exp a)))) 2))) (- a (* (log (sqrt (+ (exp b) (exp a)))) 2)) (* (log (sqrt (+ (exp b) (exp a)))) 2) (log (sqrt (+ (exp b) (exp a)))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (sqrt (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* -1/480 (* b b)) 1/48) (exp b))
7.0ms	b	@	0	((exp (- a (* (log (sqrt (+ (exp b) (exp a)))) 2))) (- a (* (log (sqrt (+ (exp b) (exp a)))) 2)) (* (log (sqrt (+ (exp b) (exp a)))) 2) (log (sqrt (+ (exp b) (exp a)))) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (sqrt (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* -1/480 (* b b)) 1/48) (exp b))

simplify194.0ms (3.3%)

Memory

-10.9MiB live, 267.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	5570
1	1280	5436
2	3947	5336
0	8234	5113

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 392

Calls

Call 1

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

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

rewrite140.0ms (2.4%)

Memory

12.6MiB live, 209.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	228
0	60	228
1	225	227
2	1472	226
0	8294	225

Stop Event

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

Counts

22 → 432

Calls

Call 1

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

Outputs
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eval124.0ms (2.1%)

Memory: -19.4MiB live, 215.3MiB allocated
Compiler: Compiled 19 265 to 2 848 computations (85.2% saved)

prune30.0ms (0.5%)

Memory

-5.9MiB live, 79.2MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	832	5	837
Fresh	2	6	8
Picked	1	4	5
Done	0	2	2
Total	835	17	852

Accuracy

100.0%

Counts

852 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.1%	(pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)))
✓	69.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓	69.0%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	69.3%	(exp.f64 #s(approx (- a (* (log (sqrt (+ (exp b) (exp a)))) 2)) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) a)))
	36.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	78.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	54.6%	#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)))))
	51.4%	#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)))))
✓	37.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	37.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
✓	37.2%	#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))))
▶	36.7%	#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))))
▶	37.4%	#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))))
▶	19.2%	#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)))))
✓	38.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
	37.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/6 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal -1/2 binary64) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))) a (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
	37.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))

Compiler

Compiled 397 to 329 computations (17.1% saved)

simplify324.0ms (5.5%)

Memory

23.5MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))
cost-diff	0	#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)))
cost-diff	0	#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))))
cost-diff	0	#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)))))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* -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	(*.f64 a a)
cost-diff	0	(exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))))
cost-diff	0	(pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)))
cost-diff	128	(-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	477
0	89	477
1	131	477
2	203	477
3	416	477
4	790	470
5	961	467
6	1046	467
7	1136	467
8	1249	467
9	1369	467
10	1481	467
11	1539	467
12	1602	467
13	1645	467
14	1698	467
15	1965	467
16	2396	467
17	3763	467
18	5336	467
19	5570	467
20	5676	467
21	5729	467
22	5744	467
23	6245	467
24	6499	467
25	6505	467
26	6509	467
27	6511	467
28	6511	467
29	6511	467
30	6511	467
31	6523	467
0	6523	457

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize219.0ms (3.7%)

Memory

-20.8MiB live, 339.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24358706066390126	(*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64))
accuracy	0.7576421238760376	#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)))))
accuracy	9.167560275793397	#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))))
accuracy	22.765021629599136	#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)))
accuracy	0.01953125	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
accuracy	0.04296875	(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy	0.7576421238760376	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy	9.508738124263045	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy	0.01953125	(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy	0.01953125	(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
accuracy	0.7576421238760376	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy	9.470639602882892	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy	0.00390625	(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	0.7576421238760376	#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	9.167560275793397	#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	9.48654145033934	#s(approx (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) #s(literal -1/4 binary64))
accuracy	0.02734375	(pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64))
accuracy	0.35775375976844204	(pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64))
accuracy	0.5801582998205693	(pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)))
accuracy	9.261652311207312	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))

Samples

36.0ms	93×	0	valid
34.0ms	25×	3	exit
34.0ms	24×	1	valid
31.0ms	56×	1	exit
28.0ms	15×	2	valid
16.0ms	43×	0	exit

Compiler

Compiled 609 to 96 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-pow: 27.0ms (17.9% of total)

ival-mult: 26.0ms (17.3% of total)

adjust: 22.0ms (14.6% of total)

ival-log: 17.0ms (11.3% of total)

ival-add: 17.0ms (11.3% of total)

ival-exp: 16.0ms (10.6% of total)

const: 12.0ms (8% of total)

ival-pow2: 4.0ms (2.7% of total)

ival-div: 4.0ms (2.7% of total)

ival-sqrt: 3.0ms (2% of total)

ival-sub: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series132.0ms (2.2%)

Memory

18.7MiB live, 216.5MiB allocated

Counts

24 → 408

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 a a) (patch (.f64 a a) #<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 #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) (patch #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (patch (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) (patch #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)) (patch (.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/480 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (patch (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -4 (/ (* b (log (sqrt (+ 1 (exp a))))) (+ 1 (exp a)))) (pow a 2)) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* b (- (* -4 (* b (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 4 (/ (log (sqrt (+ 1 (exp a)))) (+ 1 (exp a)))))) (pow a 2)) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* b (- (* b (- (* -4 (* b (+ (* 1/3 (* (log (sqrt (+ 1 (exp a)))) (+ (* -3/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))) (+ (* 1/4 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (+ 1 (exp a))))) (+ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a))))))) (* 4 (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))))) (* 4 (/ (log (sqrt (+ 1 (exp a)))) (+ 1 (exp a)))))) (pow a 2)) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (taylor 0 b) (#s(alt (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (taylor 0 b) (#s(alt (pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (* b (* (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* -4 (/ (log (sqrt (+ 1 (exp a)))) (* (+ 1 (exp a)) (+ a (* 2 (log (sqrt (+ 1 (exp a))))))))) (* -1 (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))))))) (taylor 0 b) (#s(alt (pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (* b (+ (* b (* (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* 1/2 (/ (+ (* -16 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2))) (* 2 (+ (* -4 (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 8 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2)))))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* 1/2 (pow (+ (* -4 (/ (log (sqrt (+ 1 (exp a)))) (* (+ 1 (exp a)) (+ a (* 2 (log (sqrt (+ 1 (exp a))))))))) (* -1 (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2))))) 2)) (+ (* 4 (/ (log (sqrt (+ 1 (exp a)))) (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))) (* (- (+ (* 1/2 (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 3)))) (* 1/2 (/ 1 (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2))))) (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))))))))) (* (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* -4 (/ (log (sqrt (+ 1 (exp a)))) (* (+ 1 (exp a)) (+ a (* 2 (log (sqrt (+ 1 (exp a))))))))) (* -1 (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2))))))))) (taylor 0 b) (#s(alt (pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (* b (+ (* b (+ (* b (* (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* -4 (/ (* (log (sqrt (+ 1 (exp a)))) (- (+ (* 1/2 (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 3)))) (* 1/2 (/ 1 (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (* -16 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2))) (* 2 (+ (* -4 (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 8 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2)))))) (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))) (+ (* 1/6 (/ (+ (* -128 (/ (pow (log (sqrt (+ 1 (exp a)))) 3) (pow (+ 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#s(alt (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2)))) (taylor -inf a) (#s(alt (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2)))) (taylor -inf a) (#s(alt (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#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 (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) (patch #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (/ (exp a) (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (log (sqrt (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (patch (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (log (sqrt (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (patch (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (log (sqrt (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (patch (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (log (sqrt (+ (exp a) (exp b)))) (taylor -inf a) (#s(alt (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (patch (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (pow (log (sqrt (+ (exp a) (exp b)))) 2) (taylor -inf a) (#s(alt (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (sqrt (+ (exp a) (exp b)))) 2) (taylor -inf a) (#s(alt (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (sqrt (+ (exp a) (exp b)))) 2) (taylor -inf a) (#s(alt (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (sqrt (+ (exp a) (exp b)))) 2) (taylor -inf a) (#s(alt (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 2 (/ (log (sqrt (+ (exp a) (exp b)))) a)) 1) a)) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) a)) (* 2 (log (sqrt (+ (exp a) (exp b)))))) a)) 1) a)) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 3) a)) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) a)) (* 2 (log (sqrt (+ (exp a) (exp b)))))) a)) 1) a)) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	b	@	inf	((- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4)) (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (* a a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (* (pow b 5) -1/480) (log (sqrt (+ (exp b) (exp a)))) (pow (log (sqrt (+ (exp b) (exp a)))) 2) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1) (+ (* 1/6 b) 1/2))
33.0ms	b	@	-inf	((- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4)) (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (* a a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (* (pow b 5) -1/480) (log (sqrt (+ (exp b) (exp a)))) (pow (log (sqrt (+ (exp b) (exp a)))) 2) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1) (+ (* 1/6 b) 1/2))
12.0ms	a	@	0	((- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4)) (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (* a a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (* (pow b 5) -1/480) (log (sqrt (+ (exp b) (exp a)))) (pow (log (sqrt (+ (exp b) (exp a)))) 2) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1) (+ (* 1/6 b) 1/2))
11.0ms	b	@	0	((- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4)) (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (* a a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (* (pow b 5) -1/480) (log (sqrt (+ (exp b) (exp a)))) (pow (log (sqrt (+ (exp b) (exp a)))) 2) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1) (+ (* 1/6 b) 1/2))
11.0ms	a	@	inf	((- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4)) (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (* a a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (+ (* -1/480 (* b b)) 1/48) (* b b)) -1/4) b) 1/2) (* (pow b 5) -1/480) (log (sqrt (+ (exp b) (exp a)))) (pow (log (sqrt (+ (exp b) (exp a)))) 2) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1) (+ (* 1/6 b) 1/2))

simplify195.0ms (3.3%)

Memory

-19.8MiB live, 258.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	749	11173
1	2387	11016
0	8254	10508

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))
(- (+ (* -4 (/ (* b (log (sqrt (+ 1 (exp a))))) (+ 1 (exp a)))) (pow a 2)) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))
(- (+ (* b (- (* -4 (* b (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 4 (/ (log (sqrt (+ 1 (exp a)))) (+ 1 (exp a)))))) (pow a 2)) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))
(- (+ (* b (- (* b (- (* -4 (* b (+ (* 1/3 (* (log (sqrt (+ 1 (exp a)))) (+ (* -3/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))) (+ (* 1/4 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (+ 1 (exp a))))) (+ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a))))))) (* 4 (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))))) (* 4 (/ (log (sqrt (+ 1 (exp a)))) (+ 1 (exp a)))))) (pow a 2)) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))
(exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a))))))))
(+ (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (* b (* (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* -4 (/ (log (sqrt (+ 1 (exp a)))) (* (+ 1 (exp a)) (+ a (* 2 (log (sqrt (+ 1 (exp a))))))))) (* -1 (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2))))))))
(+ (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (* b (+ (* b (* (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* 1/2 (/ (+ (* -16 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2))) (* 2 (+ (* -4 (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 8 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2)))))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* 1/2 (pow (+ (* -4 (/ (log (sqrt (+ 1 (exp a)))) (* (+ 1 (exp a)) (+ a (* 2 (log (sqrt (+ 1 (exp a))))))))) (* -1 (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2))))) 2)) (+ (* 4 (/ (log (sqrt (+ 1 (exp a)))) (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))) (* (- (+ (* 1/2 (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 3)))) (* 1/2 (/ 1 (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2))))) (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))))))))) (* (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* -4 (/ (log (sqrt (+ 1 (exp a)))) (* (+ 1 (exp a)) (+ a (* 2 (log (sqrt (+ 1 (exp a))))))))) (* -1 (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))))))))
(+ (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (* b (+ (* b (+ (* b (* (exp (/ (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* -4 (/ (* (log (sqrt (+ 1 (exp a)))) (- (+ (* 1/2 (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 3)))) (* 1/2 (/ 1 (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (* -16 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2))) (* 2 (+ (* -4 (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 8 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2)))))) (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2)))) (+ (* 1/6 (/ (+ (* -128 (/ (pow (log (sqrt (+ 1 (exp a)))) 3) (pow (+ 1 (exp a)) 3))) (+ (* 6 (+ (* -32/3 (/ (pow (log (sqrt (+ 1 (exp a)))) 3) (pow (+ 1 (exp a)) 3))) (+ (* -4 (+ (* 1/3 (* (log (sqrt (+ 1 (exp a)))) (+ (* -3/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))) (+ (* 1/4 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (+ 1 (exp a))))) (+ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))))) (* 16 (/ (* (log (sqrt (+ 1 (exp a)))) (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a))))))) (* 24 (/ (* (log (sqrt (+ 1 (exp a)))) (+ (* -4 (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 8 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))) (+ a (* 2 (log (sqrt (+ 1 (exp a)))))))) (+ (* 1/6 (pow (+ (* -4 (/ (log (sqrt 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2)))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 3)))) (* 1/2 (/ 1 (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2))))) (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))))))) (* (- (* 1/2 (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 3)))) (+ (* -1 (/ (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))) (* (+ 1 (exp a)) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 3)))) (+ (* 1/3 (/ (+ (* -3/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))) (+ (* 1/4 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (+ 1 (exp a))))) (+ 1 (exp a)))))) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 2))) (+ (* 1/2 (/ 1 (* (pow (+ 1 (exp a)) 3) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 3)))) (/ 1 (* (pow (+ 1 (exp a)) 3) (pow (+ a (* 2 (log (sqrt (+ 1 (exp a)))))) 4))))))) (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))))))))))) (* (exp (/ (- (pow a 2) (* 4 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(exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2))))
(+ (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))) (* -4 (/ (* b (* (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))) (log (sqrt (+ 1 (exp a)))))) (+ 1 (exp a)))))
(+ (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))) (* b (+ (* -4 (/ (* (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))) (log (sqrt (+ 1 (exp a))))) (+ 1 (exp a)))) (* b (* (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))) (+ (* -4 (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 8 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2)))))))))
(+ (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))) (* b (+ (* -4 (/ (* (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))) (log (sqrt (+ 1 (exp a))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))) (+ (* -32/3 (/ (pow (log (sqrt (+ 1 (exp a)))) 3) (pow (+ 1 (exp a)) 3))) (+ (* -4 (+ (* 1/3 (* (log (sqrt (+ 1 (exp a)))) (+ (* -3/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))) (+ (* 1/4 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (+ 1 (exp a))))) (+ 1 (exp a)))))))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))))) (* 16 (/ (* (log (sqrt (+ 1 (exp a)))) (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (* (exp (- (pow a 2) (* 4 (pow (log (sqrt (+ 1 (exp a)))) 2)))) (+ (* -4 (+ (* (log (sqrt (+ 1 (exp a)))) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 8 (/ (pow (log (sqrt (+ 1 (exp a)))) 2) (pow (+ 1 (exp a)) 2))))))))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
-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)
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
1/2
(+ 1/2 (* -1/4 b))
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(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
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(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
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1/2
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(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(* -1/480 (pow b 5))
(* -1/480 (pow b 5))
(* -1/480 (pow b 5))
(* -1/480 (pow b 5))
(log (sqrt (+ 1 (exp a))))
(+ (log (sqrt (+ 1 (exp a)))) (* 1/2 (/ b (+ 1 (exp a)))))
(+ (log (sqrt (+ 1 (exp a)))) (* b (+ (* 1/2 (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(+ (log (sqrt (+ 1 (exp a)))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -3/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))) (+ (* 1/4 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp a))))) (+ 1 (exp a))))) (+ 1 (exp a)))))))) (* 1/2 (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(pow (log (sqrt (+ 1 (exp a)))) 2)
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(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (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))))
(log (sqrt (+ 1 (exp b))))
(+ (log (sqrt (+ 1 (exp b)))) (* 1/2 (/ a (+ 1 (exp b)))))
(+ (log (sqrt (+ 1 (exp b)))) (* a (+ (* 1/2 (* a (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (/ 1 (+ 1 (exp b)))))))
(+ (log (sqrt (+ 1 (exp b)))) (* a (+ (* a (+ (* 1/6 (* a (+ (* -3/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp b))))) (pow (+ 1 (exp b)) 2))) (+ (* 1/4 (/ 1 (pow (+ 1 (exp b)) 3))) (* 3 (/ (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))) (+ 1 (exp b)))))))) (* 1/2 (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))))) (* 1/2 (/ 1 (+ 1 (exp b)))))))
(pow (log (sqrt (+ 1 (exp b)))) 2)
(+ (/ (* a (log (sqrt (+ 1 (exp b))))) (+ 1 (exp b))) (pow (log (sqrt (+ 1 (exp b)))) 2))
(+ (* a (+ (* a (+ (* (log (sqrt (+ 1 (exp b)))) (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/4 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ (log (sqrt (+ 1 (exp b)))) (+ 1 (exp b))))) (pow (log (sqrt (+ 1 (exp b)))) 2))
(+ (* a (+ (* a (+ (* 1/4 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* a (+ (* 1/3 (* (log (sqrt (+ 1 (exp b)))) (+ (* -3/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp b))))) (pow (+ 1 (exp b)) 2))) (+ (* 1/4 (/ 1 (pow (+ 1 (exp b)) 3))) (* 3 (/ (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))) (+ 1 (exp b)))))))) (* 1/2 (/ (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (* (log (sqrt (+ 1 (exp b)))) (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))))) (/ (log (sqrt (+ 1 (exp b)))) (+ 1 (exp b))))) (pow (log (sqrt (+ 1 (exp b)))) 2))
(/ 1/2 (log (sqrt (+ 1 (exp b)))))
(+ (* -1/4 (/ (* a (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (sqrt (+ 1 (exp b)))) 2))) (* 1/2 (/ 1 (log (sqrt (+ 1 (exp b)))))))
(+ (* a (- (* -1 (* a (+ (* -1/8 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (sqrt (+ 1 (exp b)))) 3))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (sqrt (+ 1 (exp b)))) 2)))))) (* 1/4 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (pow (log (sqrt (+ 1 (exp b)))) 2))))) (* 1/2 (/ 1 (log (sqrt (+ 1 (exp b)))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (+ (* -1/8 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (sqrt (+ 1 (exp b)))) 3))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (sqrt (+ 1 (exp b)))) 2))))) (log (sqrt (+ 1 (exp b)))))) (+ (* -1/8 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (pow (log (sqrt (+ 1 (exp b)))) 3))) (* 1/12 (/ (+ (* -3/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp b))))) (pow (+ 1 (exp b)) 2))) (+ (* 1/4 (/ 1 (pow (+ 1 (exp b)) 3))) (* 3 (/ (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))) (+ 1 (exp b)))))) (pow (log (sqrt (+ 1 (exp b)))) 2))))))) (+ (* -1/8 (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (sqrt (+ 1 (exp b)))) 3))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (sqrt (+ 1 (exp b)))) 2)))))) (* 1/4 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (pow (log (sqrt (+ 1 (exp b)))) 2))))) (* 1/2 (/ 1 (log (sqrt (+ 1 (exp b)))))))
(pow a 2)
(* (pow a 2) (+ 1 (* -4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) (pow a 2)))))
1
(- (+ 1 a) (* 4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) a)))
(- (+ 1 (+ a (+ (* -2 (/ (* (log (sqrt (+ (exp a) (exp b)))) (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2)))) (pow a 2))) (* 1/2 (/ (pow (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) 2) (pow a 2)))))) (* 4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) a)))
(- (+ 1 (+ a (+ (* -2 (/ (* (log (sqrt (+ (exp a) (exp b)))) (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2)))) (pow a 2))) (+ (* -2 (/ (* (log (sqrt (+ (exp a) (exp b)))) (pow (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) 2)) (pow a 3))) (+ (* 1/6 (/ (pow (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) 3) (pow a 3))) (+ (* 1/2 (/ (pow (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) 2) (pow a 2))) (* 4 (/ (* (pow (log (sqrt (+ (exp a) (exp b)))) 2) (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2)))) (pow a 3))))))))) (* 4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) a)))
(exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))
(exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))
(exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))
(exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(log (sqrt (+ (exp a) (exp b))))
(log (sqrt (+ (exp a) (exp b))))
(log (sqrt (+ (exp a) (exp b))))
(log (sqrt (+ (exp a) (exp b))))
(pow (log (sqrt (+ (exp a) (exp b)))) 2)
(pow (log (sqrt (+ (exp a) (exp b)))) 2)
(pow (log (sqrt (+ (exp a) (exp b)))) 2)
(pow (log (sqrt (+ (exp a) (exp b)))) 2)
(/ 1 a)
(/ (+ 1 (* -2 (/ (log (sqrt (+ (exp a) (exp b)))) a))) a)
(/ (- (+ 1 (* 4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) (pow a 2)))) (* 2 (/ (log (sqrt (+ (exp a) (exp b)))) a))) a)
(/ (- (+ 1 (* -8 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 3) (pow a 3)))) (+ (* -4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) (pow a 2))) (* 2 (/ (log (sqrt (+ (exp a) (exp b)))) a)))) a)
(pow a 2)
(* (pow a 2) (+ 1 (* -4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) (pow a 2)))))
1
(- (+ 1 a) (* 4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) a)))
(+ 1 (* -1 (/ (+ (* -1 (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2)))) (* -1 (/ (+ (* -2 (* (log (sqrt (+ (exp a) (exp b)))) (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))) (* 1/2 (pow (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) 2))) a))) a)))
(+ 1 (* -1 (/ (+ (* -1 (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2)))) (* -1 (/ (+ (* -2 (* (log (sqrt (+ (exp a) (exp b)))) (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))) (+ (* -1 (/ (+ (* -4 (* (pow (log (sqrt (+ (exp a) (exp b)))) 2) (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))) (+ (* -1/6 (pow (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) 3)) (* 2 (* (log (sqrt (+ (exp a) (exp b)))) (pow (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) 2))))) a)) (* 1/2 (pow (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) 2)))) a))) a)))
(exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))
(exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))
(exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))
(exp (- (pow a 2) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(log (sqrt (+ (exp a) (exp b))))
(log (sqrt (+ (exp a) (exp b))))
(log (sqrt (+ (exp a) (exp b))))
(log (sqrt (+ (exp a) (exp b))))
(pow (log (sqrt (+ (exp a) (exp b)))) 2)
(pow (log (sqrt (+ (exp a) (exp b)))) 2)
(pow (log (sqrt (+ (exp a) (exp b)))) 2)
(pow (log (sqrt (+ (exp a) (exp b)))) 2)
(/ 1 a)
(* -1 (/ (- (* 2 (/ (log (sqrt (+ (exp a) (exp b)))) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 2) a)) (* 2 (log (sqrt (+ (exp a) (exp b)))))) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow (log (sqrt (+ (exp a) (exp b)))) 3) a)) (* 4 (pow (log (sqrt (+ (exp a) (exp b)))) 2))) a)) (* 2 (log (sqrt (+ (exp a) (exp b)))))) a)) 1) a))

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

rewrite180.0ms (3.1%)

Memory

11.6MiB live, 246.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	408
0	89	408
1	343	406
2	2304	406
0	9067	386

Stop Event

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

Counts

24 → 305

Calls

Call 1

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

Outputs
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eval106.0ms (1.8%)

Memory: -5.8MiB live, 197.7MiB allocated
Compiler: Compiled 25 631 to 2 439 computations (90.5% saved)

prune34.0ms (0.6%)

Memory

7.4MiB live, 86.6MiB allocated

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	744	8	752
Fresh	2	4	6
Picked	1	4	5
Done	0	6	6
Total	747	22	769

Accuracy

100.0%

Counts

769 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
✓	69.0%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	69.3%	(exp.f64 #s(approx (- a (* (log (sqrt (+ (exp b) (exp a)))) 2)) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) a)))
	23.5%	#s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64))
✓	78.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓	54.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	54.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	40.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	54.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	54.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	54.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	51.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
✓	37.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	37.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
✓	37.2%	#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))))
✓	36.7%	#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))))
✓	37.4%	#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))))
	35.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) (.f64 (.f64 b b) #s(literal 1/48 binary64))) b #s(literal 1/2 binary64))))
✓	19.2%	#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)))))
✓	38.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
	37.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/6 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal -1/2 binary64) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))) a (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
	37.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))

Compiler

Compiled 747 to 446 computations (40.3% saved)

regimes41.0ms (0.7%)

Memory

-11.1MiB live, 71.9MiB allocated

Counts

31 → 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) (.f64 (.f64 b b) #s(literal 1/48 binary64))) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/6 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal -1/2 binary64) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))) a (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -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 #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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 #s(approx (- a (* (log (sqrt (+ (exp b) (exp a)))) 2)) (fma.f64 #s(literal -2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(exp.f64 (-.f64 a (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64))))
(/.f64 (exp.f64 a) (*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(pow.f64 (exp.f64 (-.f64 (.f64 a a) (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) a) #s(literal -1 binary64)))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes34.0ms (0.6%)

Memory

20.5MiB live, 59.9MiB allocated

Counts

25 → 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) (.f64 (.f64 b b) #s(literal 1/48 binary64))) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/6 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal -1/2 binary64) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))) a (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -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 #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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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:

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

Results

Accuracy	Segments	Branch
99.2%	2	`a`
98.5%	3	`b`
82.1%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.2%	2	`(exp.f64 a)`
98.5%	3	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.2%)

Memory

-14.4MiB live, 25.1MiB allocated

Counts

23 → 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) (.f64 (.f64 b b) #s(literal 1/48 binary64))) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/6 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal -1/2 binary64) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))) a (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -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 #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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) #s(approx (/ (exp a) (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (.f64 a a) #s(literal -1/48 binary64)) (*.f64 a a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Outputs

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

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes24.0ms (0.4%)

Memory

3.9MiB live, 43.4MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) (.f64 (.f64 b b) #s(literal 1/48 binary64))) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/6 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal -1/2 binary64) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))) a (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -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 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
78.0%	1	`b`
78.0%	1	`(exp.f64 b)`
84.7%	2	`a`
84.7%	2	`(exp.f64 a)`

Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes41.0ms (0.7%)

Memory

-17.3MiB live, 65.9MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) (.f64 (.f64 b b) #s(literal 1/48 binary64))) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/6 binary64))) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal -1/2 binary64) #s(literal -1/16 binary64))) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64))) a (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b))) a #s(literal 1/4 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 b b)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (+ (* -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)))))

Outputs

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

#s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64))

Calls

5 calls:

19.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	a
6.0ms	b
5.0ms	(exp.f64 b)
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
69.0%	2	`b`
69.0%	2	`(exp.f64 b)`
69.3%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
64.3%	2	`(exp.f64 a)`
64.3%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

#s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.6%	2	`b`
68.6%	2	`(exp.f64 b)`
68.9%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-19.1MiB live, 20.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

#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)))))

#s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.6%	2	`b`
65.6%	2	`(exp.f64 b)`
65.9%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes14.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated

Counts

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

Outputs

#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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
38.8%	1	`a`
38.8%	1	`(exp.f64 a)`
52.0%	2	`b`
52.0%	2	`(exp.f64 b)`
52.3%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory

-26.1MiB live, 13.5MiB allocated

Counts

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

Outputs

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

#s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.5%	2	`b`
51.5%	2	`(exp.f64 b)`
51.8%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 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))))

Outputs

#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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
51.8%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

2 → 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64))

Outputs

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

#s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.8%	2	`b`
50.8%	2	`(exp.f64 b)`
51.1%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
38.8%	1	`a`
38.8%	1	`(exp.f64 a)`
38.8%	1	`b`
38.8%	1	`(exp.f64 b)`
38.8%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.216704191286621e-14	0.9995395326563283

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.216704191286621e-14	0.9995395326563283

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch12.0ms (0.2%)

Memory

-22.1MiB live, 19.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-4.636762482783261e+24	-5.3607590725375585e+23

Samples

5.0ms	96×	0	valid
1.0ms	19×	0	exit

Compiler

Compiled 101 to 119 computations (-17.8% saved)

Precisions

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

ival-exp: 2.0ms (54.7% of total)

ival-div: 1.0ms (27.4% of total)

ival-add: 1.0ms (27.4% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.508817835104878	1.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.508817835104878	1.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.508817835104878	1.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.508817835104878	1.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.508817835104878	1.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.508817835104878	1.0

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.508817835104878	1.0

Samples

1.0ms

64×

valid

Compiler

Compiled 31 to 55 computations (-77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify26.0ms (0.4%)

Memory

13.8MiB live, 53.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	615
1	123	615

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 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 3961408125713217/39614081257132168796771975168 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 -780000000000000008388608 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 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 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))))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #s(approx (pow (exp (- ( a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 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))))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3/4 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #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 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) #s(literal 3961408125713217/39614081257132168796771975168 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 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 a #s(literal -780000000000000008388608 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 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -780000000000000008388608 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 #s(literal -1/480 binary64) (pow.f64 b #s(literal 5 binary64)))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 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))))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2291511812577791/4503599627370496 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))))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #s(approx (pow (exp (- ( a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2291511812577791/4503599627370496 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))) #s(approx (pow (exp (- ( a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 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))))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2291511812577791/4503599627370496 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))))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
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(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2291511812577791/4503599627370496 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
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(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2291511812577791/4503599627370496 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a)))) (fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2291511812577791/4503599627370496 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2291511812577791/4503599627370496 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 (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3/4 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3/4 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (pow (exp (- (* a a) (* (pow (log (sqrt (+ (exp b) (exp a)))) 2) 4))) (pow (+ (* 2 (log (sqrt (+ (exp b) (exp a))))) a) -1)) #s(literal 1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.2s (19.6%)

Memory

-14.4MiB live, 985.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	5570
1	1280	5436
2	3947	5336
0	8234	5113
0	29	167
0	47	141
1	195	136
2	1362	136
0	8734	136
0	305	4201
1	942	3999
2	3063	3775
0	8037	3634
0	120	740
1	332	725
2	964	708
3	3689	677
0	8345	640
0	6	17
0	10	17
1	32	17
2	203	17
3	1936	17
0	8631	17
0	749	11173
1	2387	11016
0	8254	10508
0	38	228
0	60	228
1	225	227
2	1472	226
0	8294	225

Stop Event

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

Compiler

Compiled 617 to 405 computations (34.4% saved)

preprocess80.0ms (1.4%)

Memory: -2.1MiB live, 155.9MiB allocated
Compiler: Compiled 482 to 180 computations (62.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze6.0ms (0.1%)

sample917.0ms (15.6%)

explain70.0ms (1.2%)

preprocess86.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize20.0ms (0.3%)

series6.0ms (0.1%)

simplify160.0ms (2.7%)

rewrite163.0ms (2.8%)

eval43.0ms (0.7%)

prune9.0ms (0.1%)

simplify153.0ms (2.6%)

localize78.0ms (1.3%)

series31.0ms (0.5%)

simplify137.0ms (2.3%)

rewrite152.0ms (2.6%)

eval166.0ms (2.8%)

prune33.0ms (0.6%)

simplify155.0ms (2.6%)

localize191.0ms (3.2%)

series140.0ms (2.4%)

simplify194.0ms (3.3%)

rewrite140.0ms (2.4%)

eval124.0ms (2.1%)

prune30.0ms (0.5%)

simplify324.0ms (5.5%)

localize219.0ms (3.7%)

series132.0ms (2.2%)

simplify195.0ms (3.3%)

rewrite180.0ms (3.1%)

eval106.0ms (1.8%)

prune34.0ms (0.6%)

regimes41.0ms (0.7%)

regimes34.0ms (0.6%)

regimes14.0ms (0.2%)

regimes24.0ms (0.4%)

regimes41.0ms (0.7%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0.1%)

simplify26.0ms (0.4%)

soundness1.2s (19.6%)

preprocess80.0ms (1.4%)

end0.0ms (0%)

Profiling