Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

-29.5MiB live, 10.5MiB 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 (20%)

Memory

39.8MiB live, 1 407.0MiB allocated

Samples

440.0ms	8 256×	0	valid
194.0ms	2 986×	0	exit

Precisions

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

ival-exp: 203.0ms (56.7% of total)

ival-div: 72.0ms (20.1% of total)

ival-add: 70.0ms (19.6% of total)

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

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

Bogosity

explain82.0ms (1.6%)

Memory

-1.7MiB live, 124.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	o/o	2	0
↳	`(exp.f64 a)`	overflow	2
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	71
↳	`(exp.f64 a)`	overflow	2
↳	`(exp.f64 b)`	overflow	69
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	u/u	1	0
↳	`(exp.f64 a)`	underflow	74
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	74
↳	`(exp.f64 b)`	underflow	51

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 8.0ms (48.8% of total)

ival-add: 5.0ms (30.5% of total)

ival-div: 3.0ms (18.3% of total)

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

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

preprocess90.0ms (1.7%)

Memory

4.8MiB live, 39.6MiB 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify2.0ms (0%)

Memory

4.1MiB live, 4.1MiB 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

localize26.0ms (0.5%)

Memory

-19.8MiB live, 65.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

20.0ms

256×

valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 5.0ms (48.6% of total)

ival-exp: 4.0ms (38.8% of total)

ival-add: 1.0ms (9.7% of total)

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

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

series6.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp b))
1.0ms	a	@	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))

simplify264.0ms (5%)

Memory

3.8MiB live, 194.3MiB 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)

rewrite152.0ms (2.9%)

Memory

29.2MiB live, 181.4MiB 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))))
(*.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 (neg.f64 (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(*.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)))) (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 #s(literal 1 binary64) (/.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)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #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 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) #s(literal -1/2 binary64)))
(*.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)) (pow.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (exp.f64 a)) #s(literal -1 binary64)))
(.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)) (pow.f64 (pow.f64 (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.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)) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(*.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)) (pow.f64 (/.f64 (pow.f64 (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)) (exp.f64 a)) #s(literal -1 binary64)))
(.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)) (pow.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)) #s(literal -1 binary64)))
(.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)) (.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)))
(*.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)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #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 (pow.f64 (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)) (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (.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)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a)))
(.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.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) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)) #s(literal -1 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 (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 binary64))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 a) (/.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 3 binary64)) (pow.f64 (.f64 (neg.f64 (exp.f64 b)) (/.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 3 binary64))) (fma.f64 (.f64 (exp.f64 a) (/.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) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))) (.f64 (.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.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 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.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 3 binary64))) (fma.f64 (.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.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 3 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.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 3 binary64))) (fma.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))) (.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (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)))) (exp.f64 a)) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (exp.f64 b))) (.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (exp.f64 b)))) (.f64 (.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (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)))) (neg.f64 (exp.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b))) (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)))) (.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)))))))
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(/.f64 (neg.f64 (*.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 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
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(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (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 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (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 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.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)))) (neg.f64 (neg.f64 (-.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)))) (neg.f64 (neg.f64 (-.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)))) (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)

eval106.0ms (2%)

Memory: -20.6MiB live, 71.3MiB allocated
Compiler: Compiled 10 662 to 1 194 computations (88.8% saved)

prune5.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	358	3	361
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	359	3	362

Accuracy

100.0%

Counts

362 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
▶	65.5%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶	79.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

98.8%

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

▶

65.5%

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

▶

79.0%

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify18.0ms (0.3%)

Memory

-27.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
cost-diff	832	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
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))))
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))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	96
0	31	91
1	43	87
2	55	87
3	84	87
4	115	87
5	176	87
6	225	87
7	262	87
8	305	87
9	365	87
10	413	87
11	473	87
12	495	87
13	496	87
0	496	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.9%)

Memory

28.4MiB live, 64.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))
accuracy	0.0	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.0	(exp.f64 a)
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy	27.66833658016445	#s(approx (+ (exp a) (exp b)) (+.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	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy	13.461293065098124	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Samples

34.0ms

256×

valid

Compiler

Compiled 177 to 37 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 10.0ms (44.4% of total)

ival-exp: 6.0ms (26.6% of total)

ival-add: 5.0ms (22.2% of total)

ival-neg: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

-20.3MiB live, 15.6MiB allocated

Counts

11 → 52

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ 1 (exp (neg a))) (/ (exp a) (+ (/ 1 (exp (neg a))) (exp b))) (+ (/ 1 (exp (neg a))) (exp b)))
2.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ 1 (exp (neg a))) (/ (exp a) (+ (/ 1 (exp (neg a))) (exp b))) (+ (/ 1 (exp (neg a))) (exp b)))
2.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ 1 (exp (neg a))) (/ (exp a) (+ (/ 1 (exp (neg a))) (exp b))) (+ (/ 1 (exp (neg a))) (exp b)))
2.0ms	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ 1 (exp (neg a))) (/ (exp a) (+ (/ 1 (exp (neg a))) (exp b))) (+ (/ 1 (exp (neg a))) (exp b)))
1.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ 1 (exp (neg a))) (/ (exp a) (+ (/ 1 (exp (neg a))) (exp b))) (+ (/ 1 (exp (neg a))) (exp b)))

simplify145.0ms (2.8%)

Memory

24.5MiB live, 178.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	841
1	505	821
2	1598	790
3	4946	758
0	8284	693

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

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

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

rewrite181.0ms (3.5%)

Memory

-5.9MiB live, 147.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
0	31	75
1	116	71
2	776	71
3	6359	71
0	8039	69

Stop Event

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

Counts

11 → 482

Calls

Call 1

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

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

eval83.0ms (1.6%)

Memory: 34.1MiB live, 178.5MiB allocated
Compiler: Compiled 12 998 to 1 805 computations (86.1% saved)

prune39.0ms (0.7%)

Memory

-51.7MiB live, 60.0MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	566	11	577
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	567	13	580

Accuracy

100.0%

Counts

580 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.5%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))))
✓	65.5%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
	64.8%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
	64.9%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
	64.8%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
▶	64.5%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
	64.2%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
✓	79.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
▶	50.7%	#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)))))
	46.9%	#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)))))
▶	33.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	33.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶	36.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 466 to 341 computations (26.8% saved)

simplify121.0ms (2.3%)

Memory

3.4MiB live, 79.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))
cost-diff	0	#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
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	(+.f64 #s(literal 2 binary64) b)
cost-diff	0	#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
cost-diff	0	#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))))
cost-diff	832	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	249
0	55	243
1	75	237
2	103	237
3	202	237
4	383	237
5	560	237
6	624	237
7	675	237
8	734	237
9	917	237
10	1157	237
11	2175	237
12	2570	237
13	3268	237
14	3352	237
15	3374	237
16	3374	237
17	3375	237
0	3375	237

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (1.9%)

Memory

32.2MiB live, 145.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 a)
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
accuracy	19.758219586334327	#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))
accuracy	27.66833658016445	#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy	0.16015625	(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy	13.461293065098124	#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	18.917862681595555	#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	(+.f64 #s(literal 2 binary64) b)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
accuracy	13.461293065098124	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
accuracy	29.66422514632125	#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
accuracy	13.461293065098124	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy	28.02003475353008	#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy	0.0	(exp.f64 a)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))))
accuracy	27.66833658016445	#s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64)))

Samples

83.0ms

256×

valid

Compiler

Compiled 398 to 64 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-exp: 33.0ms (51.8% of total)

ival-add: 13.0ms (20.4% of total)

ival-mult: 8.0ms (12.6% of total)

ival-div: 5.0ms (7.9% of total)

const: 4.0ms (6.3% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

-11.2MiB live, 25.7MiB allocated

Counts

19 → 52

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) 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 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (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 (exp (neg a)))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(/ 1 (exp (* -1 a)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 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))))
b
(* b (+ 1 (* 2 (/ 1 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 (* (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
5.0ms	a	@	-inf	((/ 1 (exp (neg a))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
3.0ms	b	@	0	((/ 1 (exp (neg a))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
2.0ms	b	@	inf	((/ 1 (exp (neg a))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
1.0ms	b	@	-inf	((/ 1 (exp (neg a))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
1.0ms	a	@	inf	((/ 1 (exp (neg a))) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))

simplify220.0ms (4.2%)

Memory

-16.8MiB live, 228.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	710
1	514	695
2	1486	670
3	5840	651
0	8089	590

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

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

rewrite173.0ms (3.3%)

Memory

-4.5MiB live, 320.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	219
0	55	218
1	218	210
2	1432	210
0	8306	210

Stop Event

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

Counts

19 → 333

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b)))
#s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))
(+.f64 #s(literal 2 binary64) b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #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))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a)))
#s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) 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 (pow.f64 (exp.f64 a) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 a) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(pow.f64 (exp.f64 #s(literal 1 binary64)) a)
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 a))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (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) (exp.f64 (neg.f64 a)))
(neg.f64 (neg.f64 (exp.f64 a)))
(exp.f64 a)
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)))))
(*.f64 (exp.f64 a) (pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (exp.f64 (neg.f64 a)) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a)) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)) (exp.f64 (neg.f64 a)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (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(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (exp.f64 a))))
(/.f64 (exp.f64 a) (*.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (neg.f64 (neg.f64 #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))))
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(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (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)) #s(literal 3 binary64))) (fma.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))) (/.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))) (fma.f64 (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)) (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 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 (neg.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)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (neg.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 (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 (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 (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 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 4 binary64)) #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 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 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 6 binary64)) #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 4 binary64)) (+.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)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #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 6 binary64)) #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)) (-.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 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 9 binary64)) #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 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 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 (-.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))) (.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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #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 #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 #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 (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) (neg.f64 (/.f64 #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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) (-.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 (+.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 (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 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 #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 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) (pow.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) b) (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)) #s(literal 1 binary64))
(fma.f64 (.f64 b (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)) #s(literal 1 binary64))
(fma.f64 (.f64 b (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)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 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)) (neg.f64 (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))))
(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 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))
(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))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #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 2 binary64)) (-.f64 #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)) (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 (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))) (neg.f64 (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))

eval51.0ms (1%)

Memory: 11.3MiB live, 130.1MiB allocated
Compiler: Compiled 11 124 to 1 694 computations (84.8% saved)

prune19.0ms (0.4%)

Memory

22.1MiB live, 61.5MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	350	9	359
Fresh	1	5	6
Picked	0	5	5
Done	0	2	2
Total	351	21	372

Accuracy

100.0%

Counts

372 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.5%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))))
✓	65.5%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
	64.8%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (/ 1 (exp (neg a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
▶	64.9%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
	64.8%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
✓	64.5%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
	64.2%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
✓	79.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓	50.7%	#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)))))
	50.7%	#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)))))
▶	50.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	50.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶	50.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	46.9%	#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)))))
	50.3%	#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) b #s(literal 2 binary64)))))
▶	50.3%	#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)))))
✓	33.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	20.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
	20.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
▶	33.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓	36.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 945 to 679 computations (28.1% saved)

simplify107.0ms (2%)

Memory

-14.8MiB live, 177.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff	128	(-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 b b)))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b)))))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
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 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
cost-diff	0	(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))
cost-diff	0	#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)))
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 b b) #s(literal 1/6 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 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ 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	#s(approx (+ (exp a) 1) (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)))
cost-diff	0	#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	557
0	86	557
1	138	552
2	234	545
3	583	545
4	1240	545
5	2236	545
6	4452	545
7	6609	545
0	8134	513

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

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

localize134.0ms (2.6%)

Memory

3.4MiB live, 335.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.328125	(*.f64 #s(literal 1/6 binary64) b)
accuracy	13.461293065098124	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy	14.774276653761385	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))
accuracy	18.917862681595555	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy	0.328125	(*.f64 #s(literal 1/6 binary64) b)
accuracy	13.461293065098124	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy	18.917862681595555	#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy	33.61996156358577	#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
accuracy	0.2109375	(.f64 (.f64 b b) #s(literal 1/6 binary64))
accuracy	13.461293065098124	#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)))))
accuracy	18.917862681595555	#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)))
accuracy	33.391776268657196	#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
accuracy	0.0	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy	13.461293065098124	#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	29.487421939784156	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy	0.11394501953688403	(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
accuracy	19.465102036682293	#s(approx (+ (exp a) 1) (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)))
accuracy	27.66833658016445	#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))

Samples

99.0ms

256×

valid

Compiler

Compiled 854 to 100 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 18.0ms (31.9% of total)

ival-add: 13.0ms (23.1% of total)

const: 11.0ms (19.5% of total)

ival-div: 7.0ms (12.4% of total)

ival-exp: 4.0ms (7.1% of total)

ival-sub: 2.0ms (3.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series13.0ms (0.3%)

Memory

-8.8MiB live, 29.8MiB allocated

Counts

26 → 72

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(exp.f64 a)
#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))
#s(approx (+ (exp a) 1) (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)))
#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))) (/.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)))))
(/.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 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)))
(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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.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 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 b b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
(.f64 (.f64 b b) #s(literal 1/6 binary64))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
(*.f64 #s(literal 1/6 binary64) b)
#s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b 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
(+ 1/2 (* 1/6 a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(* 1/6 a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* 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))))))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* -1/6 b))
1/4
(+ 1/4 (* -1/36 (pow b 2)))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* 1/6 b)
(+ 2 (* -2/3 b))
(+ 2 (* b (- (* 2/9 b) 2/3)))
(+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3)))
(* -1/4 b)
(* 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)))))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* -1/6 b)
(* b (- (* 1/2 (/ 1 b)) 1/6))
(* -1/36 (pow b 2))
(* (pow b 2) (- (* 1/4 (/ 1 (pow b 2))) 1/36))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(/ 6 b)
(/ (- 6 (* 18 (/ 1 b))) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(* -1 (* b (- 1/6 (* 1/2 (/ 1 b)))))
(* -1 (/ (- (* 18 (/ 1 b)) 6) b))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) b))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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)) (+ (* -1/4 b) 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)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ 1 (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))))) (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (+ (* 1/6 b) 1/2) (* 1/6 b) (+ (exp b) 1) (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))))
3.0ms	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)) (+ (* -1/4 b) 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)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ 1 (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))))) (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (+ (* 1/6 b) 1/2) (* 1/6 b) (+ (exp b) 1) (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))))
3.0ms	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)) (+ (* -1/4 b) 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)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ 1 (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))))) (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (+ (* 1/6 b) 1/2) (* 1/6 b) (+ (exp b) 1) (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b 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)) (+ (* -1/4 b) 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)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ 1 (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))))) (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (+ (* 1/6 b) 1/2) (* 1/6 b) (+ (exp b) 1) (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))))
1.0ms	a	@	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)) (+ (* -1/4 b) 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)) (+ (exp b) 1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (/ 1 (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))))) (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b))) (/ (exp a) (+ (exp a) (exp b))) (+ (* 1/6 a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (+ (* 1/6 b) 1/2) (* 1/6 b) (+ (exp b) 1) (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))))

simplify148.0ms (2.8%)

Memory

-2.5MiB live, 235.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	873
1	701	852
2	1932	825
3	6710	809
0	8136	733

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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
(+ 1/2 (* 1/6 a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(* 1/6 a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* 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))))))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* -1/6 b))
1/4
(+ 1/4 (* -1/36 (pow b 2)))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* 1/6 b)
(+ 2 (* -2/3 b))
(+ 2 (* b (- (* 2/9 b) 2/3)))
(+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3)))
(* -1/4 b)
(* 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)))))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* -1/6 b)
(* b (- (* 1/2 (/ 1 b)) 1/6))
(* -1/36 (pow b 2))
(* (pow b 2) (- (* 1/4 (/ 1 (pow b 2))) 1/36))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(/ 6 b)
(/ (- 6 (* 18 (/ 1 b))) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(* -1 (* b (- 1/6 (* 1/2 (/ 1 b)))))
(* -1 (/ (- (* 18 (/ 1 b)) 6) b))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) 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 (+.f64 (fma.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)))) a (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (/.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 (+.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) (.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) a (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) a #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (/.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
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 a))
(fma.f64 #s(literal 1/6 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))
(* 1/6 a)
(*.f64 #s(literal 1/6 binary64) a)
(* a (+ 1/6 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
(/ (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 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (neg.f64 b) #s(literal -1 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 b) (fma.f64 (fma.f64 (exp.f64 a) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 a)))) b (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) (/.f64 (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 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 2 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))
(+ 1/2 (* -1/6 b))
(fma.f64 #s(literal -1/6 binary64) b #s(literal 1/2 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/36 (pow b 2)))
(fma.f64 #s(literal -1/36 binary64) (*.f64 b b) #s(literal 1/4 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 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(+ 2 (* -2/3 b))
(fma.f64 #s(literal -2/3 binary64) b #s(literal 2 binary64))
(+ 2 (* b (- (* 2/9 b) 2/3)))
(fma.f64 (fma.f64 #s(literal 2/9 binary64) b #s(literal -2/3 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) b #s(literal 2/9 binary64)) b #s(literal -2/3 binary64)) b #s(literal 2 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))
(* 1/6 (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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* -1/6 b)
(*.f64 #s(literal -1/6 binary64) b)
(* b (- (* 1/2 (/ 1 b)) 1/6))
(fma.f64 #s(literal -1/6 binary64) b #s(literal 1/2 binary64))
(* -1/36 (pow b 2))
(.f64 #s(literal -1/36 binary64) (.f64 b b))
(* (pow b 2) (- (* 1/4 (/ 1 (pow b 2))) 1/36))
(fma.f64 #s(literal -1/36 binary64) (*.f64 b b) #s(literal 1/4 binary64))
(* (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))
(/ 6 b)
(/.f64 #s(literal 6 binary64) b)
(/ (- 6 (* 18 (/ 1 b))) b)
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) b)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) b) #s(literal 18 binary64)) b) #s(literal -6 binary64)) b)
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) b)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) b) #s(literal 18 binary64)) b) (-.f64 (/.f64 #s(literal 162 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 6 binary64))) b)
(* -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 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* b (- 1/6 (* 1/2 (/ 1 b)))))
(fma.f64 #s(literal -1/6 binary64) b #s(literal 1/2 binary64))
(* -1 (/ (- (* 18 (/ 1 b)) 6) b))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b)
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) b))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 54 binary64) b) #s(literal 18 binary64)) b) #s(literal -6 binary64)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) b))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -18 binary64) (/.f64 (-.f64 (/.f64 #s(literal 162 binary64) b) #s(literal 54 binary64)) b)) b) #s(literal -6 binary64)) b)

rewrite176.0ms (3.4%)

Memory

-7.0MiB live, 274.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	424
0	86	424
1	361	383
2	2658	383
0	9724	367

Stop Event

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

Counts

26 → 518

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) #s(literal -1 binary64)) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (pow.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))))
(*.f64 (exp.f64 a) (pow.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal 1/4 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 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 4 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal 1/4 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 (/.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 b b) (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 4 binary64))) #s(literal 1/16 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 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 b b) (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 4 binary64))) #s(literal 1/16 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 (/.f64 #s(literal 1/4 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 (.f64 #s(literal 1/36 binary64) (.f64 b b)) (.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 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 b b) #s(literal 1/4 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 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 b b) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 b b) #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 b b) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 b b) #s(literal 1/4 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) b) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 b b) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (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 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 b b)) (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 (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/36 binary64) (.f64 b b) #s(literal 1/4 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/36 binary64) (*.f64 b b) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 b b) #s(literal 1/4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 b b) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (/.f64 b (fma.f64 #s(literal -1/36 binary64) (*.f64 b b) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 b b) #s(literal 1/4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 b (fma.f64 #s(literal -1/36 binary64) (*.f64 b b) #s(literal 1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 b b) #s(literal 1/4 binary64))) (neg.f64 (.f64 #s(literal 1/6 binary64) (/.f64 b (fma.f64 #s(literal -1/36 binary64) (*.f64 b b) #s(literal 1/4 binary64))))))

eval95.0ms (1.8%)

Memory: 12.4MiB live, 203.0MiB allocated
Compiler: Compiled 25 792 to 3 957 computations (84.7% saved)

prune24.0ms (0.5%)

Memory

24.1MiB live, 63.5MiB allocated

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	572	9	581
Fresh	3	6	9
Picked	2	3	5
Done	1	6	7
Total	578	24	602

Accuracy

100.0%

Counts

602 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.5%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))))
✓	65.5%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
	64.2%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
	37.1%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
	40.2%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
	54.5%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
	54.3%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
✓	79.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
✓	50.7%	#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)))))
	50.7%	#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)))))
	50.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	50.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/6 binary64) b) (.f64 #s(literal 1/6 binary64) b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	50.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	50.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 #s(literal 6 binary64) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
✓	50.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	46.9%	#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)))))
	50.3%	#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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) b #s(literal 2 binary64)))))
✓	50.3%	#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)))))
✓	33.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
	20.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))
	20.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b)))))
✓	33.7%	#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))))
	4.0%	#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))))
✓	36.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 560 to 684 computations (56.2% saved)

regimes44.0ms (0.8%)

Memory

-37.5MiB live, 85.5MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 #s(literal 6 binary64) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/6 binary64) b) (.f64 #s(literal 1/6 binary64) b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (/ 1 (exp (neg a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (exp.f64 b)))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes40.0ms (0.8%)

Memory

2.1MiB live, 79.9MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 #s(literal 6 binary64) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/6 binary64) b) (.f64 #s(literal 1/6 binary64) b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (/ 1 (exp (neg a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 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

5 calls:

9.0ms	b
8.0ms	a
8.0ms	(/.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
99.0%	2	`a`
99.4%	3	`b`
81.4%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.0%	2	`(exp.f64 a)`
99.4%	3	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes38.0ms (0.7%)

Memory

16.4MiB live, 71.3MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 #s(literal 6 binary64) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/6 binary64) b) (.f64 #s(literal 1/6 binary64) b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (/ 1 (exp (neg a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))

Outputs

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

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

Calls

2 calls:

31.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.7%	2	`a`
98.7%	2	`(exp.f64 a)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes32.0ms (0.6%)

Memory

-4.6MiB live, 72.4MiB 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 (/ 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 (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 #s(literal 6 binary64) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/6 binary64) b) (.f64 #s(literal 1/6 binary64) b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))

Outputs

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

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

Calls

5 calls:

8.0ms	b
7.0ms	a
6.0ms	(exp.f64 a)
5.0ms	(exp.f64 b)
5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
64.2%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
75.9%	2	`b`
73.2%	2	`(exp.f64 b)`
73.3%	2	`a`
73.3%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes26.0ms (0.5%)

Memory

-25.9MiB live, 56.7MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 #s(literal 6 binary64) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/2 (* 1/6 b)) (- 1/4 (* 1/36 (* b b)))) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) b)) b))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 b b) #s(literal -1/4 binary64)))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 b b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/6 binary64) b) (.f64 #s(literal 1/6 binary64) b))))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.7%	2	`(exp.f64 b)`
65.4%	2	`a`
63.4%	2	`(exp.f64 a)`
68.5%	2	`b`

Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
68.2%	2	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.3%)

Memory

-6.6MiB live, 33.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

#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))) (/.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:

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

Results

Accuracy	Segments	Branch
50.7%	1	`(exp.f64 a)`
50.7%	1	`a`
53.9%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
53.9%	2	`(exp.f64 b)`
53.9%	2	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.2%)

Memory

26.8MiB live, 26.7MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.7%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
53.7%	2	`b`
53.7%	2	`(exp.f64 b)`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes9.0ms (0.2%)

Memory

-25.5MiB live, 12.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
53.5%	2	`b`
53.5%	2	`(exp.f64 b)`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes8.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB 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 (/ 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 (/ 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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) 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 b b) #s(literal 1/6 binary64))) b #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b)))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.5%	2	`b`
53.5%	2	`(exp.f64 b)`
53.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

3.0ms	b
2.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
53.5%	2	`b`
53.5%	2	`(exp.f64 b)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes12.0ms (0.2%)

Memory

-1.7MiB live, 33.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

5.0ms	b
2.0ms	a
2.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 b)
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
46.9%	1	`a`
46.9%	1	`(exp.f64 a)`
49.9%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
49.9%	2	`b`
49.9%	2	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total -21.3b remaining (-52.2%)

Threshold costs -21.3b (-52.2%)

Counts

4 → 1

Calls

Call 1

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

5 calls:

2.0ms	b
2.0ms	a
1.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(exp.f64 b)
1.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
36.3%	1	`a`
36.3%	1	`(exp.f64 a)`
36.3%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
36.3%	1	`b`
36.3%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8958814702564228e-5	0.045771741407744766

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8958814702564228e-5	0.045771741407744766

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch14.0ms (0.3%)

Memory

-31.7MiB live, 11.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.435965417345626e+101	1.3793806696186913e+105

Samples

8.0ms

128×

valid

Compiler

Compiled 435 to 339 computations (22.1% saved)

Precisions

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

ival-div: 3.0ms (56.6% of total)

ival-exp: 2.0ms (37.7% of total)

ival-add: 1.0ms (18.9% of total)

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

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

bsearch14.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.308079846595142e+93	2.435965417345626e+101

Samples

7.0ms

144×

valid

Compiler

Compiled 605 to 443 computations (26.8% saved)

Precisions

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

ival-exp: 2.0ms (53.7% of total)

ival-div: 1.0ms (26.8% of total)

ival-add: 1.0ms (26.8% of total)

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

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

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	6.308079846595142e+93	2.435965417345626e+101

Compiler

Compiled 587 to 434 computations (26.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9636166142041118	0.9999991433610586

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9636166142041118	0.9999991433610586

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4999997877793247	0.5

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000008488830616	+inf

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000008488830616	+inf

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9636166142041118	0.9999991433610586

Compiler

Compiled 11 to 11 computations (0% saved)

simplify21.0ms (0.4%)

Memory

-10.0MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	618
1	119	618
2	135	618
3	200	618
4	341	618
5	416	618
6	419	618
7	419	618

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 5902958103587057/295147905179352825856 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 5902958103587057/295147905179352825856 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 204999999999999998403420446936460522302741808502081001884500117303481891699961787399415421697043464192 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 204999999999999998403420446936460522302741808502081001884500117303481891699961787399415421697043464192 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2206763817411543/2251799813685248 binary64)) #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))) (/.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 (exp.f64 b) #s(literal 2206763817411543/2251799813685248 binary64)) #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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 9007195431713175/18014398509481984 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2206763817411543/2251799813685248 binary64)) #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))) (/.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 (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 5902958103587057/295147905179352825856 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 5902958103587057/295147905179352825856 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 5902958103587057/295147905179352825856 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 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 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 204999999999999998403420446936460522302741808502081001884500117303481891699961787399415421697043464192 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 204999999999999998403420446936460522302741808502081001884500117303481891699961787399415421697043464192 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 204999999999999998403420446936460522302741808502081001884500117303481891699961787399415421697043464192 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 b #s(literal 204999999999999998403420446936460522302741808502081001884500117303481891699961787399415421697043464192 binary64)) (/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (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))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 2206763817411543/2251799813685248 binary64)) #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))) (/.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 (exp.f64 b) #s(literal 2206763817411543/2251799813685248 binary64)) #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))) (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 (exp.f64 b) #s(literal 2206763817411543/2251799813685248 binary64)) #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))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 b) #s(literal 2206763817411543/2251799813685248 binary64)) #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))) (pow.f64 #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 9007195431713175/18014398509481984 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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) b #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 9007195431713175/18014398509481984 binary64)) #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) b #s(literal 2 binary64))) #s(literal -1 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.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))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ (exp b) 1) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) b))) #s(literal -1 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 2206763817411543/2251799813685248 binary64)) #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))) (/.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 (exp.f64 b) #s(literal 2206763817411543/2251799813685248 binary64)) #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))) (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))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.1s (21.4%)

Memory

3.4MiB live, 762.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	873
1	701	852
2	1932	825
3	6710	809
0	8136	733
0	183	710
1	514	695
2	1486	670
3	5840	651
0	8089	590
0	120	516
1	332	501
2	973	484
3	3759	453
0	8455	416
0	189	841
1	505	821
2	1598	790
3	4946	758
0	8284	693

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×	node limit

Compiler

Compiled 899 to 388 computations (56.8% saved)

preprocess101.0ms (1.9%)

Memory: 3.7MiB live, 115.6MiB allocated
Compiler: Compiled 1 268 to 236 computations (81.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	96
0	31	91
1	43	87
2	55	87
3	84	87
4	115	87
5	176	87
6	225	87
7	262	87
8	305	87
9	365	87
10	413	87
11	473	87
12	495	87
13	496	87
0	496	87

Iter	Nodes	Cost
0	20	96
0	31	91
1	43	87
2	55	87
3	84	87
4	115	87
5	176	87
6	225	87
7	262	87
8	305	87
9	365	87
10	413	87
11	473	87
12	495	87
13	496	87
0	496	87

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.0s (20%)

explain82.0ms (1.6%)

preprocess90.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize26.0ms (0.5%)

series6.0ms (0.1%)

simplify264.0ms (5%)

rewrite152.0ms (2.9%)

eval106.0ms (2%)

prune5.0ms (0.1%)

simplify18.0ms (0.3%)

localize46.0ms (0.9%)

series14.0ms (0.3%)

simplify145.0ms (2.8%)

rewrite181.0ms (3.5%)

eval83.0ms (1.6%)

prune39.0ms (0.7%)

simplify121.0ms (2.3%)

localize101.0ms (1.9%)

series14.0ms (0.3%)

simplify220.0ms (4.2%)

rewrite173.0ms (3.3%)

eval51.0ms (1%)

prune19.0ms (0.4%)

simplify107.0ms (2%)

localize134.0ms (2.6%)

series13.0ms (0.3%)

simplify148.0ms (2.8%)

rewrite176.0ms (3.4%)

eval95.0ms (1.8%)

prune24.0ms (0.5%)

regimes44.0ms (0.8%)

regimes40.0ms (0.8%)

regimes38.0ms (0.7%)

regimes32.0ms (0.6%)

regimes26.0ms (0.5%)

regimes5.0ms (0.1%)

regimes17.0ms (0.3%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes12.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.3%)

bsearch14.0ms (0.3%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify21.0ms (0.4%)

soundness1.1s (21.4%)

preprocess101.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	96
0	31	91
1	43	87
2	55	87
3	84	87
4	115	87
5	176	87
6	225	87
7	262	87
8	305	87
9	365	87
10	413	87
11	473	87
12	495	87
13	496	87
0	496	87