Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB 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)

sample1.0s (16.1%)

Memory

26.5MiB live, 1 612.8MiB allocated

Samples

468.0ms	8 256×	0	valid
169.0ms	2 967×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-exp: 187.0ms (52.3% of total)

ival-div: 98.0ms (27.4% of total)

ival-add: 59.0ms (16.5% of total)

ival-true: 9.0ms (2.5% of total)

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

Bogosity

explain72.0ms (1.1%)

Memory

-11.6MiB live, 149.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

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 (57.2% of total)

ival-div: 3.0ms (21.4% of total)

ival-add: 3.0ms (21.4% of total)

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

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

preprocess226.0ms (3.5%)

Memory

3.1MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	40	48
2	75	48
3	144	48
4	261	43
5	465	43
6	663	43
7	923	43
8	1275	43
9	1516	43
10	1692	42
11	1875	42
12	1977	42
13	2123	42
14	2207	42
15	2239	42
16	2249	42
17	2251	42
18	2251	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

0.1MiB live, 41.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.0234375	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

16.0ms

256×

valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

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

ival-exp: 4.0ms (58% of total)

ival-div: 2.0ms (29% of total)

ival-add: 1.0ms (14.5% of total)

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

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

series6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

4 → 27

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
(/ 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) (+ 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 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)

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	a	@	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))
1.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))

simplify166.0ms (2.6%)

Memory

-17.7MiB live, 217.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	516
1	332	501
2	973	484
3	3759	453
0	8455	416

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite231.0ms (3.6%)

Memory

1.8MiB live, 275.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	32	17
2	203	17
3	1947	17
0	8681	17

Stop Event

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

Counts

4 → 314

Calls

Call 1

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

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

eval40.0ms (0.6%)

Memory: 28.4MiB live, 102.8MiB allocated
Compiler: Compiled 10 662 to 1 194 computations (88.8% saved)

prune12.0ms (0.2%)

Memory

-13.7MiB live, 32.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	353	8	361
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	354	8	362

Accuracy

100.0%

Counts

362 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	100.0%	(pow.f64 (*.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))) #s(literal -1/2 binary64))
	40.2%	(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
	64.3%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶	100.0%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a)))
	100.0%	(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a))
▶	83.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	62.1%	#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 (exp.f64 a) #s(literal 1 binary64)))))

Compiler

Compiled 246 to 170 computations (30.9% saved)

simplify110.0ms (1.7%)

Memory

12.2MiB live, 128.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (exp.f64 b) (exp.f64 a))
cost-diff	0	(*.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
cost-diff	0	(pow.f64 (*.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))) #s(literal -1/2 binary64))
cost-diff	13312	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
cost-diff	0	(exp.f64 b)
cost-diff	0	(+.f64 (exp.f64 b) (exp.f64 a))
cost-diff	0	(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64))
cost-diff	13312	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
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 (exp.f64 a) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #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	(exp.f64 b)
cost-diff	0	(+.f64 (exp.f64 b) (exp.f64 a))
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	237
0	50	236
1	72	234
2	115	230
3	186	228
4	558	216
5	2150	216
6	4597	216
7	7086	216
0	8148	216

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (2%)

Memory

-8.0MiB live, 238.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (exp.f64 b) (exp.f64 a))
accuracy	0.0078125	(pow.f64 (*.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))) #s(literal -1/2 binary64))
accuracy	0.014003759768442016	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
accuracy	0.015625	(*.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 b) (exp.f64 a))
accuracy	0.014003759768442016	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
accuracy	0.34375	(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.015625	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.015625	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy	0.02734375	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	24.229929302700782	#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 (exp.f64 a) #s(literal 1 binary64)))))
accuracy	0.0	(exp.f64 b)
accuracy	0.00390625	(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy	0.36343425013405695	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 b) (exp.f64 a))
accuracy	0.0234375	(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))

Samples

94.0ms	195×	0	valid
13.0ms	61×	0	exit

Compiler

Compiled 452 to 60 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 12.0ms (23.7% of total)

ival-pow: 12.0ms (23.7% of total)

ival-div: 9.0ms (17.8% of total)

ival-add: 6.0ms (11.8% of total)

ival-exp: 4.0ms (7.9% of total)

ival-pow2: 3.0ms (5.9% of total)

ival-neg: 3.0ms (5.9% of total)

ival-sub: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory

-16.5MiB live, 103.1MiB allocated

Counts

19 → 98

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	((* (/ -1 (+ (exp b) (exp a))) (neg (exp a))) (/ -1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (pow (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) -1/2) (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) (exp a) (/ (exp a) (+ (exp a) 1)) (+ (exp a) 1) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2))
8.0ms	b	@	0	((* (/ -1 (+ (exp b) (exp a))) (neg (exp a))) (/ -1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (pow (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) -1/2) (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) (exp a) (/ (exp a) (+ (exp a) 1)) (+ (exp a) 1) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2))
7.0ms	b	@	-inf	((* (/ -1 (+ (exp b) (exp a))) (neg (exp a))) (/ -1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (pow (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) -1/2) (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) (exp a) (/ (exp a) (+ (exp a) 1)) (+ (exp a) 1) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2))
7.0ms	a	@	inf	((* (/ -1 (+ (exp b) (exp a))) (neg (exp a))) (/ -1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (pow (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) -1/2) (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) (exp a) (/ (exp a) (+ (exp a) 1)) (+ (exp a) 1) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2))
6.0ms	a	@	-inf	((* (/ -1 (+ (exp b) (exp a))) (neg (exp a))) (/ -1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (/ b (- -1 (exp a))) 1) (/ b (- -1 (exp a))) (/ (+ (exp b) (exp a)) (exp a)) (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) (pow (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) -1/2) (* (/ (+ (exp b) (exp a)) (exp a)) (/ (+ (exp b) (exp a)) (exp a))) (exp a) (/ (exp a) (+ (exp a) 1)) (+ (exp a) 1) (pow (pow (/ (+ (exp b) (exp a)) (exp a)) -1/2) 2))

simplify317.0ms (5%)

Memory

37.1MiB live, 229.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	476	2694
1	1480	2501
2	5097	2339
0	8604	2161

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 98

Calls

Call 1

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

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ -1 (+ 1 (exp b)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(- (/ a (pow (+ 1 (exp b)) 2)) (/ 1 (+ 1 (exp b))))
(-.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(- (* a (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 3)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(- (* a (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))) (/ 1 (pow (+ 1 (exp b)) 3))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 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 #s(literal 1 binary64) (exp.f64 b)))
(+ 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 #s(literal 1 binary64) (exp.f64 b)))
(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* 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))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) b))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/48 binary64) b #s(literal 1/24 binary64)))))) a (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64))))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ 1 (* -1/2 b))
(fma.f64 #s(literal -1/2 binary64) b #s(literal 1 binary64))
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(/ (+ 1 (exp a)) (exp a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(fma.f64 (+.f64 #s(literal 1 binary64) b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 b (exp.f64 a)) #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(fma.f64 (fma.f64 (/.f64 b (exp.f64 a)) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (exp.f64 (neg.f64 a))) b (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(sqrt (/ (exp a) (+ 1 (exp a))))
(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* -1/2 (* b (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) b (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* -1/2 (* (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) b) (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -3/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (sqrt (/ (exp a) (+ 1 (exp a)))) (* b (+ (* -1/2 (sqrt (/ (exp a) (pow (+ 1 (exp a)) 3)))) (* b (+ (* -1/2 (* (sqrt (/ (+ 1 (exp a)) (exp a))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (* -1/2 (* (* 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))) (* 1/2 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/4 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))))))) (sqrt (/ (+ 1 (exp a)) (exp a))))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) (fma.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -3/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (.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))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -3/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) b (sqrt.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b (sqrt.f64 (/.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)))))) (* -1 (/ (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 3 binary64))) b (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.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 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (* 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 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (.f64 b (neg.f64 b)) (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)))) (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) b (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.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))))
(/ (pow (+ 1 (exp a)) 2) (pow (exp a) 2))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))
(+ (* b (+ (* 2 (/ 1 (exp a))) (* 2 (/ 1 (pow (exp a) 2))))) (/ (pow (+ 1 (exp a)) 2) (pow (exp a) 2)))
(fma.f64 (fma.f64 (exp.f64 (-.f64 (neg.f64 a) a)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a))) b (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(+ (* b (+ (* 2 (/ 1 (exp a))) (+ (* 2 (/ 1 (pow (exp a) 2))) (* b (+ (/ 1 (exp a)) (* 2 (/ 1 (pow (exp a) 2)))))))) (/ (pow (+ 1 (exp a)) 2) (pow (exp a) 2)))
(fma.f64 (fma.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 a)) b (*.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (fma.f64 b #s(literal 2 binary64) #s(literal 2 binary64))))) b (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(+ (* b (+ (* 2 (/ 1 (exp a))) (+ (* 2 (/ 1 (pow (exp a) 2))) (* b (+ (* 2 (/ 1 (pow (exp a) 2))) (+ (* b (+ (* 1/3 (/ (+ 1 (exp a)) (pow (exp a) 2))) (/ 1 (pow (exp a) 2)))) (/ 1 (exp a)))))))) (/ (pow (+ 1 (exp a)) 2) (pow (exp a) 2)))
(fma.f64 (fma.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (fma.f64 b #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 1/3 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) b (exp.f64 (neg.f64 a))) b))) b (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(exp b)
(exp.f64 b)
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(*.f64 (-.f64 (/.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b #s(literal 1 binary64))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(*.f64 (-.f64 (/.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b #s(literal 1 binary64))

rewrite180.0ms (2.8%)

Memory

-23.9MiB live, 214.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	184
0	50	168
1	195	159
2	1529	159
0	8443	159

Stop Event

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

Counts

19 → 1 008

Calls

Call 1

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

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

eval179.0ms (2.8%)

Memory: 29.1MiB live, 259.2MiB allocated
Compiler: Compiled 40 620 to 4 502 computations (88.9% saved)

prune30.0ms (0.5%)

Memory

1.5MiB live, 77.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 418	10	1 428
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 424	12	1 436

Accuracy

100.0%

Counts

1 436 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.3%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶	64.4%	(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a)))
	57.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
✓	83.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	56.2%	#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)))))
	50.5%	#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)))))
	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	38.0%	#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))))
▶	37.3%	#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))))
▶	38.1%	#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))))
	38.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
▶	38.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))

Compiler

Compiled 595 to 393 computations (33.9% saved)

simplify255.0ms (4%)

Memory

-23.0MiB live, 230.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff	0	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
cost-diff	192	(fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
cost-diff	960	(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 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	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
cost-diff	0	#s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
cost-diff	0	(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	350
0	79	342
1	122	342
2	220	318
3	517	318
4	1146	318
5	2480	318
6	6241	318
0	8252	315

Stop Event

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

Calls

Call 1

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

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

localize228.0ms (3.6%)

Memory

-2.2MiB live, 190.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy	10.292670304387144	#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	17.967439988046404	#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	0.0	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy	16.036774068107842	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy	24.06521017422564	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))))
accuracy	27.853567274808466	(-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64)))
accuracy	0.02734375	(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy	0.078125	(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
accuracy	10.292670304387144	#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	29.820948214014404	#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	0.0	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy	10.292670304387144	#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))))
accuracy	29.336824026530024	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy	0.0	(exp.f64 a)
accuracy	0.015625	(+.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy	0.02734375	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy	27.888687732973576	#s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Samples

73.0ms	107×	1	valid
50.0ms	148×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 574 to 103 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-add: 27.0ms (27.9% of total)

ival-mult: 21.0ms (21.7% of total)

ival-div: 13.0ms (13.4% of total)

adjust: 11.0ms (11.4% of total)

const: 9.0ms (9.3% of total)

ival-sub: 7.0ms (7.2% of total)

ival-exp: 5.0ms (5.2% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series16.0ms (0.2%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

22 → 82

Calls

Call 1

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

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

Calls

6 calls:

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

simplify157.0ms (2.4%)

Memory

9.3MiB live, 197.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	1429
1	990	1352
2	3155	1197
0	8574	1111

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 82

Calls

Call 1

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

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2/3 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ -1 (+ 1 (exp b)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(- (/ a (pow (+ 1 (exp b)) 2)) (/ 1 (+ 1 (exp b))))
(-.f64 (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(- (* a (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 3)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(- (* a (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))) (/ 1 (pow (+ 1 (exp b)) 3))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 a) 1/2)
(fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))
(- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal -1/2 binary64))
(- (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))) 1/2)
(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))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* 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 2 binary64))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (fma.f64 (-.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)))
(+ (* 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))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) b))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (.f64 #s(literal -1/48 binary64) b))))) 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)))
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))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ -1 (+ (exp a) (exp b)))
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(/ -1 (+ 1 (exp a)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(*.f64 (+.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1/4 binary64)) a)
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp a)
(exp.f64 a)
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))
(*.f64 (neg.f64 a) (-.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64)))) b))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- (/ b (pow (+ 1 (exp a)) 2)) (/ 1 (+ 1 (exp a))))
(-.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- (* b (+ (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- (* b (+ (* b (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* b (- (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))) (/ 1 (pow (+ 1 (exp a)) 3))))) (/ 1 (pow (+ 1 (exp a)) 3)))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) b (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) b (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 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))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* 1/48 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* 1/48 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/48 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) b) b)
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 a b) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) b))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(*.f64 (-.f64 (/.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(* 1/6 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 (pow b 2))
(.f64 (.f64 #s(literal 1/6 binary64) b) b)
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) b (*.f64 #s(literal -1/4 binary64) b))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(*.f64 (-.f64 (/.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) b)))

rewrite242.0ms (3.8%)

Memory

-33.7MiB live, 335.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	311
0	79	311
1	356	311
2	2866	311
0	8303	307

Stop Event

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

Counts

22 → 392

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 (neg.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) #s(approx (/ -1 (+ (exp b) (exp a))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (neg.f64 (exp.f64 a)))
(.f64 #s(literal -1 binary64) (.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (exp.f64 a)))
(neg.f64 (*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (exp.f64 a)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (exp.f64 a)))
#s(approx (/ -1 (+ (exp b) (exp a))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 a))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 a))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (expm1.f64 a))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 b b) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) b))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 b b) #s(literal -1/4 binary64))) #s(literal -1 binary64))
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(fma.f64 b (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (*.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))) (/.f64 #s(literal 4 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))))
(+.f64 (*.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 2 binary64) (*.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))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 a)
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.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))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 b b)) (*.f64 b #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64)))))
(/.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.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 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) (*.f64 b #s(literal 1 binary64)) #s(literal 1 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 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(fma.f64 b (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))

eval73.0ms (1.1%)

Memory: 32.5MiB live, 108.1MiB allocated
Compiler: Compiled 25 358 to 2 564 computations (89.9% saved)

prune60.0ms (0.9%)

Memory

-4.9MiB live, 75.5MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	485	9	494
Fresh	1	5	6
Picked	2	3	5
Done	0	1	1
Total	488	18	506

Accuracy

100.0%

Counts

506 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
✓	64.4%	(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a)))
	64.1%	(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a)))
	63.8%	(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a)))
	57.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
✓	83.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
	56.2%	#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)))))
	50.5%	#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)))))
▶	55.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	38.0%	#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))))
✓	37.3%	#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))))
✓	38.1%	#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))))
▶	14.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
	4.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
▶	40.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
▶	40.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
	3.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))

Compiler

Compiled 848 to 595 computations (29.8% saved)

simplify249.0ms (3.9%)

Memory

13.8MiB live, 275.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	391
0	78	391
1	123	385
2	206	358
3	424	358
4	848	358
5	2014	358
6	5703	355
0	8202	336

Stop Event

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

Calls

Call 1

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

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

localize209.0ms (3.3%)

Memory

-2.5MiB live, 212.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.078125	(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
accuracy	10.292670304387144	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
accuracy	29.95905985640825	#s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))
accuracy	33.40055813569214	#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
accuracy	0.296875	(*.f64 #s(literal 1/6 binary64) b)
accuracy	10.292670304387144	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
accuracy	18.125064020549974	#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))
accuracy	33.353484043183386	#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b))
accuracy	0.0	(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
accuracy	16.036774068107842	#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
accuracy	24.229929302700782	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
accuracy	26.850278289067194	#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
accuracy	10.292670304387144	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy	28.07673638112269	#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy	0.0	(exp.f64 a)
accuracy	0.015625	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.0234375	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy	28.091268775445897	#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))

Samples

148.0ms	238×	0	valid
11.0ms	18×	1	valid

Compiler

Compiled 568 to 118 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-div: 63.0ms (44.9% of total)

ival-add: 29.0ms (20.7% of total)

ival-mult: 23.0ms (16.4% of total)

ival-exp: 9.0ms (6.4% of total)

const: 7.0ms (5% of total)

ival-pow: 4.0ms (2.8% of total)

ival-sub: 2.0ms (1.4% of total)

adjust: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series20.0ms (0.3%)

Memory

-14.3MiB live, 21.5MiB allocated

Counts

20 → 68

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (+ (* 1/4 a) 1/2) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (* (pow b 3) 1/48) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* 1/6 b))
2.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (+ (* 1/4 a) 1/2) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (* (pow b 3) 1/48) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* 1/6 b))
2.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (+ (* 1/4 a) 1/2) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (* (pow b 3) 1/48) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* 1/6 b))
1.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (+ (* 1/4 a) 1/2) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (* (pow b 3) 1/48) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* 1/6 b))
1.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (+ (* 1/4 a) 1/2) (/ (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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (* (pow b 3) 1/48) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* 1/6 b))

simplify150.0ms (2.3%)

Memory

13.6MiB live, 205.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	1215
1	863	1122
2	2855	942
0	8492	872

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

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

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
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 #s(literal 1 binary64) (exp.f64 b))
(+ 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 #s(literal 1 binary64) (exp.f64 b)))
(+ 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 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* 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 2 binary64))
(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 (fma.f64 (-.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)))
(+ (* 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))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 b #s(literal -7/48 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) b))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/16 binary64) b)) #s(literal 1/2 binary64) (+.f64 #s(literal 5/48 binary64) (.f64 #s(literal -1/48 binary64) b))))) 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)))
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/4 b) (* 1/4 a)))
(fma.f64 #s(literal 1/4 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 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))
(/ (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 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))
(fma.f64 (fma.f64 (/.f64 b a) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))
(*.f64 (neg.f64 a) (-.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (fma.f64 #s(literal -1 binary64) (exp.f64 a) #s(literal -1 binary64)))) b))) b (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1 (+ 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)))
(+ 1/2 (* 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 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))
(* 1/48 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(*.f64 (-.f64 (/.f64 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))
(*.f64 (-.f64 (fma.f64 (/.f64 a b) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) #s(literal 1/4 binary64)) b)
(* 1/6 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(.f64 b (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b) #s(literal 1 binary64)))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* 1/6 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/6 binary64))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b) b)
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(*.f64 (-.f64 (/.f64 (exp.f64 a) (fma.f64 b (exp.f64 a) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)
(* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)) b) b (*.f64 #s(literal -1/4 binary64) b))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 b b)) (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64))) b) #s(literal 1/6 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))

rewrite177.0ms (2.8%)

Memory

-18.4MiB live, 270.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	370
0	78	370
1	345	364
2	2721	364
0	8126	339

Stop Event

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

Counts

20 → 113

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (exp.f64 a) (pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (expm1.f64 a))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.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))) #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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (.f64 a a) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/8 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 a a) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/8 binary64)))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 a a) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (.f64 a #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 a a) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)) (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 a a) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/8 binary64)))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) (.f64 b #s(literal 2 binary64)))) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal -2 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) (.f64 b #s(literal 2 binary64)))) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) (.f64 b #s(literal 2 binary64)))) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64)) (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) (*.f64 b #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) (.f64 b #s(literal 2 binary64)))) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal -2 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) (.f64 b #s(literal 2 binary64)))) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 3 binary64)))))
(fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))
(fma.f64 b #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal -2 binary64))))
(+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
#s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))
#s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))
(.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1/48 binary64) b) (*.f64 b b))
(.f64 (pow.f64 b #s(literal 3/2 binary64)) (.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1/48 binary64)))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
(.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b)
(*.f64 #s(literal 1/48 binary64) (pow.f64 b #s(literal 3 binary64)))
(.f64 (.f64 b b) (*.f64 #s(literal 1/48 binary64) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (*.f64 b b)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b))
(*.f64 #s(literal 1/6 binary64) b)
(*.f64 b #s(literal 1/6 binary64))

eval23.0ms (0.4%)

Memory: 16.8MiB live, 55.5MiB allocated
Compiler: Compiled 6 664 to 819 computations (87.7% saved)

prune18.0ms (0.3%)

Memory

8.0MiB live, 47.6MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	0	9	9
Picked	0	5	5
Done	0	4	4
Total	182	21	203

Accuracy

100.0%

Counts

203 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.3%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
✓	64.4%	(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a)))
	64.1%	(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a)))
	63.8%	(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a)))
	57.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
✓	83.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
	56.2%	#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)))))
	50.5%	#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)))))
	55.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
✓	55.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
	37.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	38.0%	#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))))
✓	37.3%	#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))))
✓	38.1%	#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))))
✓	14.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
	14.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
	4.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓	40.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
✓	40.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
	40.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))))
	3.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))

Compiler

Compiled 1 407 to 612 computations (56.5% saved)

regimes45.0ms (0.7%)

Memory

-24.9MiB live, 94.8MiB 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a)))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (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 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a))
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))
(pow.f64 (*.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))) #s(literal -1/2 binary64))

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

Calls

5 calls:

10.0ms	a
9.0ms	(exp.f64 b)
9.0ms	b
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes36.0ms (0.6%)

Memory

7.2MiB live, 87.7MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a)))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (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 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes38.0ms (0.6%)

Memory

14.8MiB live, 92.3MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a)))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (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 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a)))

Outputs

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

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

Calls

5 calls:

10.0ms	b
7.0ms	a
7.0ms	(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
99.7%	2	`a`
99.7%	3	`b`
83.9%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.7%	2	`(exp.f64 a)`
99.7%	3	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes16.0ms (0.3%)

Memory

-2.1MiB live, 36.9MiB 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a)))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (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 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b #s(literal 2 binary64)))))

Outputs

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

Calls

2 calls:

8.0ms	(exp.f64 a)
7.0ms	a

Results

Accuracy	Segments	Branch
99.7%	2	`a`
99.7%	2	`(exp.f64 a)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes15.0ms (0.2%)

Memory

-7.8MiB live, 35.1MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a)))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Outputs

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

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

Calls

2 calls:

8.0ms	a
5.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes31.0ms (0.5%)

Memory

-6.5MiB live, 71.8MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a)))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a)))

Outputs

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

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

Calls

5 calls:

7.0ms	a
6.0ms	b
6.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 b)
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
64.1%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
77.7%	2	`b`
74.8%	2	`(exp.f64 b)`
75.2%	2	`a`
75.2%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a)))

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
77.4%	2	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes39.0ms (0.6%)

Memory

-33.1MiB live, 71.4MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#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))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/16 binary64) b (*.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))) a (-.f64 (fma.f64 #s(literal -1/8 binary64) b #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) b #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))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))

Outputs

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

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

Calls

5 calls:

17.0ms	(exp.f64 b)
7.0ms	b
6.0ms	a
5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
59.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
59.5%	2	`(exp.f64 b)`
63.9%	2	`a`
63.5%	2	`(exp.f64 a)`
59.5%	2	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.2%)

Memory

-14.4MiB live, 24.8MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
62.7%	2	`(exp.f64 a)`
63.1%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	a
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
59.2%	2	`(exp.f64 a)`
59.6%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes29.0ms (0.5%)

Memory

-7.5MiB live, 32.2MiB 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 (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))

Outputs

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

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

Calls

5 calls:

17.0ms	(exp.f64 b)
3.0ms	b
3.0ms	a
2.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
52.4%	2	`(exp.f64 a)`
40.3%	1	`b`
40.3%	1	`(exp.f64 b)`
52.1%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
52.4%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Accuracy

Total -24.3b remaining (-63.6%)

Threshold costs -24.3b (-63.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
40.3%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
40.3%	1	`(exp.f64 a)`
40.3%	1	`a`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0030322164565629657	0.9635494579220371

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0030322164565629657	0.9635494579220371

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0030322164565629657	0.9635494579220371

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch36.0ms (0.6%)

Memory

-1.2MiB live, 38.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	5.480054581060397e+91	3.730347340086512e+107

Samples

8.0ms

160×

valid

Compiler

Compiled 581 to 451 computations (22.4% saved)

Precisions

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

ival-exp: 2.0ms (45.3% of total)

ival-div: 1.0ms (22.7% of total)

ival-add: 1.0ms (22.7% of total)

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

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

bsearch2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.480054581060397e+91	3.730347340086512e+107

Compiler

Compiled 551 to 431 computations (21.8% saved)

bsearch23.0ms (0.4%)

Memory

-33.6MiB live, 43.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-4.564839011282468e+29	-7.71088796539515e+21

Samples

10.0ms	144×	0	valid
2.0ms	30×	0	exit

Compiler

Compiled 560 to 407 computations (27.3% saved)

Precisions

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

ival-exp: 2.0ms (43% of total)

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

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

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

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

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.564839011282468e+29	-7.71088796539515e+21

Compiler

Compiled 632 to 461 computations (27.1% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.564839011282468e+29	-7.71088796539515e+21

Compiler

Compiled 533 to 389 computations (27% saved)

bsearch11.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-4.564839011282468e+29	-7.71088796539515e+21

Samples

4.0ms	80×	0	valid
1.0ms	22×	0	exit

Compiler

Compiled 776 to 533 computations (31.3% saved)

Precisions

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

ival-div: 1.0ms (37.4% of total)

ival-exp: 1.0ms (37.4% of total)

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

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

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

simplify55.0ms (0.9%)

Memory

4.3MiB live, 80.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	558
1	168	558
2	270	550
3	554	550
4	1336	550
5	3728	550

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a))) #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 5764607523034235/1152921504606846976 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.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)))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 b #s(literal 9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240 binary64)) (.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240 binary64)) (.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -24000000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -24000000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -24000000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -7800000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a)))
(*.f64 (/.f64 (neg.f64 #s(literal -1 binary64)) (+.f64 (exp.f64 b) (exp.f64 a))) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a))) #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 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.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)))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a))) #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 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240 binary64)) (.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240 binary64)) (.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) (fma.f64 #s(literal 1/4 binary64) a #s(literal -1/2 binary64)))) (neg.f64 (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240 binary64)) (.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240 binary64)) (.f64 #s(approx (/ -1 (+ (exp b) (exp a))) #s(approx (/ -1 (+ 1 (exp a))) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -24000000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -24000000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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))))
(if (<=.f64 a #s(literal -24000000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -24000000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -24000000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -24000000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #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(literal -1 binary64))))
(if (<=.f64 a #s(literal -7800000000000000000000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (.f64 #s(literal 1/48 binary64) (.f64 b b)) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx ( (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ (exp a) 1))) #s(approx (+ (* (- (+ (* -1/8 b) 1/2) (+ (* -1/8 b) 1/4)) a) (+ (* -1/4 b) 1/2)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.2s (18.7%)

Memory

-9.7MiB live, 861.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	516
1	332	501
2	973	484
3	3759	453
0	8455	416
0	63	370
0	78	370
1	345	364
2	2721	364
0	8126	339
0	6	17
0	10	17
1	32	17
2	203	17
3	1947	17
0	8681	17
0	333	1429
1	990	1352
2	3155	1197
0	8574	1111
0	476	2694
1	1480	2501
2	5097	2339
0	8604	2161

Stop Event

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

Compiler

Compiled 933 to 459 computations (50.8% saved)

preprocess114.0ms (1.8%)

Memory: -3.6MiB live, 153.2MiB allocated
Compiler: Compiled 1 148 to 274 computations (76.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.0s (16.1%)

explain72.0ms (1.1%)

preprocess226.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize24.0ms (0.4%)

series6.0ms (0.1%)

simplify166.0ms (2.6%)

rewrite231.0ms (3.6%)

eval40.0ms (0.6%)

prune12.0ms (0.2%)

simplify110.0ms (1.7%)

localize131.0ms (2%)

series44.0ms (0.7%)

simplify317.0ms (5%)

rewrite180.0ms (2.8%)

eval179.0ms (2.8%)

prune30.0ms (0.5%)

simplify255.0ms (4%)

localize228.0ms (3.6%)

series16.0ms (0.2%)

simplify157.0ms (2.4%)

rewrite242.0ms (3.8%)

eval73.0ms (1.1%)

prune60.0ms (0.9%)

simplify249.0ms (3.9%)

localize209.0ms (3.3%)

series20.0ms (0.3%)

simplify150.0ms (2.3%)

rewrite177.0ms (2.8%)

eval23.0ms (0.4%)

prune18.0ms (0.3%)

regimes45.0ms (0.7%)

regimes36.0ms (0.6%)

regimes38.0ms (0.6%)

regimes16.0ms (0.3%)

regimes15.0ms (0.2%)

regimes31.0ms (0.5%)

regimes7.0ms (0.1%)

regimes39.0ms (0.6%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes29.0ms (0.5%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch36.0ms (0.6%)

bsearch2.0ms (0%)

bsearch23.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch11.0ms (0.2%)

simplify55.0ms (0.9%)

soundness1.2s (18.7%)

preprocess114.0ms (1.8%)

end0.0ms (0%)

Profiling