Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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)

sample1.1s (17.2%)

Memory

30.9MiB live, 1 473.4MiB allocated

Samples

536.0ms	8 256×	0	valid
175.0ms	2 995×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-exp: 214.0ms (51.3% of total)

ival-div: 129.0ms (30.9% of total)

ival-add: 59.0ms (14.1% of total)

ival-true: 9.0ms (2.2% of total)

ival-assert: 5.0ms (1.2% of total)

Bogosity

explain341.0ms (5.3%)

Memory

-22.4MiB live, 138.0MiB 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	3	0
↳	`(exp.f64 a)`	overflow	3
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	62
↳	`(exp.f64 a)`	overflow	3
↳	`(exp.f64 b)`	overflow	60

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

240.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-exp: 218.0ms (95.8% of total)

ival-add: 5.0ms (2.2% of total)

ival-div: 3.0ms (1.3% of total)

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

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

preprocess87.0ms (1.3%)

Memory

3.2MiB live, 45.2MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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

2.2MiB live, 2.2MiB 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

localize23.0ms (0.4%)

Memory

-4.8MiB live, 32.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

14.0ms

256×

valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

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

ival-exp: 4.0ms (56.4% of total)

ival-div: 2.0ms (28.2% of total)

ival-add: 1.0ms (14.1% of total)

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

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

series6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

4 → 27

Calls

Call 1

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

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

Calls

6 calls:

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

simplify203.0ms (3.1%)

Memory

44.3MiB live, 265.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite171.0ms (2.6%)

Memory

-17.8MiB live, 277.8MiB 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)))))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 4 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 6 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 b) #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (exp.f64 a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (exp.f64 a) (neg.f64 (exp.f64 b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 a) (/.f64 (exp.f64 b) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b))))
(+.f64 (exp.f64 a) (exp.f64 b))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(exp.f64 b)

eval44.0ms (0.7%)

Memory: -23.5MiB live, 97.6MiB allocated
Compiler: Compiled 10 662 to 1 194 computations (88.8% saved)

prune6.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB 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

99.4%

Counts

362 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.4%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
▶	99.2%	(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a))
▶	76.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

68.4%

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

▶

99.2%

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

▶

76.3%

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

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify23.0ms (0.4%)

Memory

-23.8MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
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	(+.f64 (exp.f64 b) (exp.f64 a))
cost-diff	0	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
cost-diff	192	(fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a)
cost-diff	5888	(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a))
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: 3 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	31	97
1	41	97
2	48	95
3	52	94
4	61	94
5	76	94
6	101	94
7	153	94
8	222	94
9	332	94
10	415	94
11	495	94
12	557	94
13	605	94
14	665	94
15	687	94
16	688	94
0	688	94

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

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

localize179.0ms (2.8%)

Memory

18.4MiB live, 306.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.4921930021016504	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy	11.316885147235308	#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.00390625	(fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a)
accuracy	0.00390625	(+.f64 (exp.f64 b) (exp.f64 a))
accuracy	0.0078125	(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a))
accuracy	26.32489148329982	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
accuracy	0.0	(exp.f64 b)
accuracy	0.00390625	(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy	15.173559947193715	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Samples

66.0ms	75×	1	valid
47.0ms	59×	4	exit
39.0ms	36×	2	valid
11.0ms	86×	0	valid

Compiler

Compiled 181 to 38 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-exp: 66.0ms (47.9% of total)

ival-log: 32.0ms (23.2% of total)

adjust: 17.0ms (12.3% of total)

ival-add: 12.0ms (8.7% of total)

ival-div: 7.0ms (5.1% of total)

ival-mult: 4.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series126.0ms (2%)

Memory

-25.8MiB live, 250.6MiB allocated

Counts

12 → 68

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

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (exp (+ (* (log (+ (exp b) (exp a))) -1) a)) (+ (* (log (+ (exp b) (exp a))) -1) a) (log (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))
32.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (exp (+ (* (log (+ (exp b) (exp a))) -1) a)) (+ (* (log (+ (exp b) (exp a))) -1) a) (log (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))
26.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (exp (+ (* (log (+ (exp b) (exp a))) -1) a)) (+ (* (log (+ (exp b) (exp a))) -1) a) (log (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))
17.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (exp (+ (* (log (+ (exp b) (exp a))) -1) a)) (+ (* (log (+ (exp b) (exp a))) -1) a) (log (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))
8.0ms	a	@	0	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (exp b) 1) (exp b) (exp (+ (* (log (+ (exp b) (exp a))) -1) a)) (+ (* (log (+ (exp b) (exp a))) -1) a) (log (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1))

simplify206.0ms (3.2%)

Memory

2.4MiB live, 274.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	1597
1	846	1524
2	2565	1466
0	8561	1334

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 67

Calls

Call 1

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

rewrite225.0ms (3.5%)

Memory

11.7MiB live, 287.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	86
0	31	86
1	112	84
2	741	83
3	7383	83
0	9131	83

Stop Event

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

Counts

12 → 628

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

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

eval90.0ms (1.4%)

Memory: 26.9MiB live, 223.9MiB allocated
Compiler: Compiled 20 219 to 2 802 computations (86.1% saved)

prune74.0ms (1.1%)

Memory

-37.7MiB live, 109.7MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	707	15	722
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	709	16	725

Accuracy

100.0%

Counts

725 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(pow.f64 (exp.f64 (fma.f64 (neg.f64 a) a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) #s(literal -1 binary64)))
	68.3%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
▶	68.4%	(/.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)))))
	68.3%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) (+.f64 #s(literal 2 binary64) a))))
▶	68.0%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
	44.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (pow.f64 (expm1.f64 (.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 b) (.f64 (pow.f64 (expm1.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
	21.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (expm1.f64 b)) (.f64 (expm1.f64 b) (expm1.f64 b)))))
✓	76.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
	52.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (expm1.f64 (.f64 b #s(literal 2 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) b))) (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (exp.f64 b) #s(literal 1 binary64)))))
	52.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (expm1.f64 (.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 b))))))
	47.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	43.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	34.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
▶	33.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	34.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶	36.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 673 to 469 computations (30.3% saved)

simplify160.0ms (2.5%)

Memory

20.6MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #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 #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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (exp a) 1) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #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) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ 1 (+ (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	(fma.f64 (neg.f64 a) a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))
cost-diff	0	(exp.f64 (fma.f64 (neg.f64 a) a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))))
cost-diff	0	(pow.f64 (exp.f64 (fma.f64 (neg.f64 a) a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) #s(literal -1 binary64)))
cost-diff	5888	(pow.f64 (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) #s(literal -1 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	300
0	69	300
1	98	300
2	143	298
3	243	298
4	345	298
5	540	298
6	1184	298
7	2072	298
8	2948	298
9	4081	298
10	5393	298
11	6620	298
12	7454	298
0	8090	298

Stop Event

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

Calls

Call 1

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

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

localize527.0ms (8.1%)

Memory

-8.7MiB live, 431.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 a)
accuracy	0.4921930021016504	(/.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)))))
accuracy	0.888241293210538	#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
accuracy	10.770504692404508	#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))))
accuracy	0.0	(exp.f64 a)
accuracy	0.4921930021016504	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
accuracy	1.12592376311377	#s(approx (+ (exp a) 1) #s(literal 2 binary64))
accuracy	10.770504692404508	#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
accuracy	0.015625	(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
accuracy	0.02734375	(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy	0.6429710069103846	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy	12.89090526189944	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy	0.6429710069103846	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))
accuracy	10.820033650178102	#s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64))
accuracy	0.0078125	(pow.f64 (exp.f64 (fma.f64 (neg.f64 a) a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) #s(literal -1 binary64)))
accuracy	0.3203125	(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))
accuracy	5.868807126989006	(fma.f64 (neg.f64 a) a (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))
accuracy	12.284594025207358	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

233.0ms	61×	1	exit
154.0ms	22×	3	exit
44.0ms	35×	1	valid
35.0ms	19×	2	valid
23.0ms	82×	0	valid
11.0ms	37×	0	exit

Compiler

Compiled 523 to 79 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-log: 135.0ms (52% of total)

ival-pow: 32.0ms (12.3% of total)

adjust: 27.0ms (10.4% of total)

ival-exp: 18.0ms (6.9% of total)

ival-add: 14.0ms (5.4% of total)

ival-mult: 12.0ms (4.6% of total)

ival-pow2: 5.0ms (1.9% of total)

const: 5.0ms (1.9% of total)

ival-div: 5.0ms (1.9% of total)

ival-neg: 3.0ms (1.2% of total)

ival-sub: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series117.0ms (1.8%)

Memory

25.0MiB live, 171.4MiB allocated

Counts

19 → 106

Calls

Call 1

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

Outputs
(/ -1 (log (+ 1 (exp b))))
(- (/ (* a (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (+ 1 (exp b))) 2)) (/ 1 (log (+ 1 (exp b)))))
(- (* a (- (* -1 (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (* -1 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))))) (/ 1 (log (+ 1 (exp b)))))
(- (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3)))) (log (+ 1 (exp b))))) (+ (* -1/6 (/ (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (+ 1 (exp b))) 2))) (* 1/2 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (+ 1 (exp b))) 3))))))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (* -1 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))))) (/ 1 (log (+ 1 (exp b)))))
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (log (+ 1 (exp b))))) (+ (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)) (* 2 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (* (log (+ 1 (exp b))) (+ 1 (exp b))))))))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (+ (* -1 (/ (* (pow (log (+ 1 (exp b))) 2) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3)))) (+ 1 (exp b)))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (* (log (+ 1 (exp b))) (+ 1 (exp b))))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (+ (* 2 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (* (log (+ 1 (exp b))) (pow (+ 1 (exp b)) 2)))) (/ (* a (+ (* -2 (/ (* (log (+ 1 (exp b))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3)))) (+ 1 (exp b)))) (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3)))) (log (+ 1 (exp b))))) (+ (* -1/6 (/ (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (+ 1 (exp b))) 2))) (* 1/2 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (pow (log (+ 1 (exp b))) 3))))))) (+ (* -1/6 (/ (+ (* -12 (/ (* (log (+ 1 (exp b))) (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1)) (+ 1 (exp b)))) (+ (* 6 (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (* 4/3 (/ (pow (log (+ 1 (exp b))) 3) (pow (+ 1 (exp b)) 3))) (+ (* 2 (/ (* (log (+ 1 (exp b))) (- (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))) 1)) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 16 (/ (pow (log (+ 1 (exp b))) 3) (pow (+ 1 (exp b)) 3))))) (log (+ 1 (exp b))))) (+ (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3)) (+ (* 1/2 (/ (* (+ 1 (/ 1 (+ 1 (exp b)))) (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1)))) (pow (log (+ 1 (exp b))) 2))) (* (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (log (+ 1 (exp b))))) (* 2 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (* (log (+ 1 (exp b))) (+ 1 (exp b))))))) (- 1 (/ 1 (+ 1 (exp b))))))))))) (+ 1 (exp b)))))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(exp (pow (log (+ 1 (exp b))) 2))
(+ (exp (pow (log (+ 1 (exp b))) 2)) (* 2 (/ (* a (* (exp (pow (log (+ 1 (exp b))) 2)) (log (+ 1 (exp b))))) (+ 1 (exp b)))))
(+ (exp (pow (log (+ 1 (exp b))) 2)) (* a (+ (* 2 (/ (* (exp (pow (log (+ 1 (exp b))) 2)) (log (+ 1 (exp b)))) (+ 1 (exp b)))) (* a (* (exp (pow (log (+ 1 (exp b))) 2)) (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))))))
(+ (exp (pow (log (+ 1 (exp b))) 2)) (* a (+ (* 2 (/ (* (exp (pow (log (+ 1 (exp b))) 2)) (log (+ 1 (exp b)))) (+ 1 (exp b)))) (* a (+ (* a (* (exp (pow (log (+ 1 (exp b))) 2)) (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (+ (* 4/3 (/ (pow (log (+ 1 (exp b))) 3) (pow (+ 1 (exp b)) 3))) (+ (* 2 (/ (* (log (+ 1 (exp b))) (- (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))) 1)) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 3))))) (* (exp (pow (log (+ 1 (exp b))) 2)) (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1)))))))
(pow (log (+ 1 (exp b))) 2)
(+ (* 2 (/ (* a (log (+ 1 (exp b)))) (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (- (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))) 1)))) (pow (log (+ 1 (exp b))) 2))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (- (+ (* a (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1)))) (pow (log (+ 1 (exp b))) 2))
(+ (* 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))))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (pow (log (+ 1 (exp b))) 2))
(+ (* a (+ (* 2 (/ (log (+ 1 (exp b))) (+ 1 (exp b)))) (* a (+ (* a (- (+ (* 1/3 (* (log (+ 1 (exp b))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2))))))) (pow (log (+ 1 (exp b))) 2))
(/ -1 a)
(/ (- (/ (log (+ (exp a) (exp b))) a) 1) a)
(/ (- (* -1 (/ (pow (log (+ (exp a) (exp b))) 2) (pow a 2))) (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a)))) a)
(/ (- (/ (pow (log (+ (exp a) (exp b))) 3) (pow a 3)) (+ 1 (+ (* -1 (/ (log (+ (exp a) (exp b))) a)) (/ (pow (log (+ (exp a) (exp b))) 2) (pow a 2))))) a)
(+ 1 (* -1 (/ (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) a)))
(+ 1 (+ (* -1 (/ (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) a)) (+ (* 1/2 (/ (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2) (pow a 2))) (/ (* (log (+ (exp a) (exp b))) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))) (pow a 2)))))
(+ 1 (+ (* -1 (/ (* (log (+ (exp a) (exp b))) (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2)) (pow a 3))) (+ (* -1 (/ (* (pow (log (+ (exp a) (exp b))) 2) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))) (pow a 3))) (+ (* -1 (/ (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) a)) (+ (* -1/6 (/ (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 3) (pow a 3))) (+ (* 1/2 (/ (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2) (pow a 2))) (/ (* (log (+ (exp a) (exp b))) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))) (pow a 2))))))))
(exp (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 1))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(log (+ (exp a) (exp b)))
(pow (log (+ (exp a) (exp b))) 2)
(* -1 (/ (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))) a))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (log (+ (exp a) (exp b))) 2) a)) (* -1 (log (+ (exp a) (exp b))))) a))) a))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (log (+ (exp a) (exp b))) 3) a)) (* -1 (pow (log (+ (exp a) (exp b))) 2))) a)) (* -1 (log (+ (exp a) (exp b))))) a))) a))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2)) (* (log (+ (exp a) (exp b))) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)))) a)) (pow (log (+ (exp a) (exp b))) 2)) (pow a 2)) a)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 3)) (+ (* (log (+ (exp a) (exp b))) (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2)) (* (pow (log (+ (exp a) (exp b))) 2) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))))) a)) (+ (* 1/2 (pow (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2)) 2)) (* (log (+ (exp a) (exp b))) (- (pow (log (+ (exp a) (exp b))) 2) (pow a 2))))) a)) (pow (log (+ (exp a) (exp b))) 2)) (pow a 2)) a)))
(/ -1 (+ a (log (+ 1 (exp a)))))
(- (/ b (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (+ a (log (+ 1 (exp a))))))
(- (* b (+ (* -1 (* b (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))))) (/ 1 (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))))) (/ 1 (+ a (log (+ 1 (exp a))))))
(- (* b (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1/6 (/ (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))) (pow (+ a (log (+ 1 (exp a)))) 2))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 3)))))))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))))) (/ 1 (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))))) (/ 1 (+ a (log (+ 1 (exp a))))))
(exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a)))))))
(+ (exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a))))))) (* b (* (exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a))))))) (+ (* -2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1 (/ (pow a 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))))))))
(+ (exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a))))))) (* b (+ (* b (* (exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a))))))) (+ (* -1 (* (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (* 2 (+ (* 2 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (+ a (log (+ 1 (exp a)))))) (+ (* 1/2 (pow (+ (* -2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1 (/ (pow a 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))))) 2)) (* 2 (/ (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 2))))))))) (* (exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a))))))) (+ (* -2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1 (/ (pow a 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))))))))
(+ (exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a))))))) (* b (+ (* b (+ (* b (* (exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a))))))) (+ (* -2 (/ (* (log (+ 1 (exp a))) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3))))) (+ 1 (exp a)))) (+ (* -1 (* (+ (* -1 (/ (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1/6 (/ (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))) (pow (+ a (log (+ 1 (exp a)))) 2))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 3)))))) (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)))) (+ (* -1/6 (/ (+ (* -12 (/ (* (log (+ 1 (exp a))) (+ (* 2 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))) (+ 1 (exp a)))) (+ (* 6 (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (+ (* 4/3 (/ (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 3))) (+ (* 2 (/ (* (log (+ 1 (exp a))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 3)))) (* 16 (/ (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 3))))) (+ a (log (+ 1 (exp a)))))) (+ (* 1/6 (pow (+ (* -2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1 (/ (pow a 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))))) 3)) (+ (* 1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (* 2 (+ (* 2 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))) (* (+ (* -2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1 (/ (pow a 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))))) (+ (* -1 (* (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (* 2 (+ (* 2 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (+ a (log (+ 1 (exp a)))))) (* 2 (/ (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 2)))))))))))))) (* (exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a))))))) (+ (* -1 (* (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (pow (+ a (log (+ 1 (exp a)))) 2))) (/ 1 (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 3)))))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (* 2 (+ (* 2 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (+ a (log (+ 1 (exp a)))))) (+ (* 1/2 (pow (+ (* -2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1 (/ (pow a 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2))))) 2)) (* 2 (/ (log (+ 1 (exp a))) (* (pow (+ 1 (exp a)) 2) (pow (+ a (log (+ 1 (exp a)))) 2)))))))))) (* (exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)) (+ a (log (+ 1 (exp a))))))) (+ (* -2 (/ (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ a (log (+ 1 (exp a))))))) (+ (* -1 (/ (pow a 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))) (/ (pow (log (+ 1 (exp a))) 2) (* (+ 1 (exp a)) (pow (+ a (log (+ 1 (exp a)))) 2)))))))))
(exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2)))
(+ (exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))) (* 2 (/ (* b (* (exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))) (log (+ 1 (exp a))))) (+ 1 (exp a)))))
(+ (exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))) (* b (+ (* 2 (/ (* (exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))) (log (+ 1 (exp a)))) (+ 1 (exp a)))) (* b (* (exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))) (+ (* 2 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(+ (exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))) (* b (+ (* 2 (/ (* (exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))) (log (+ 1 (exp a)))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))) (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (+ (* 4/3 (/ (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 3))) (+ (* 2 (/ (* (log (+ 1 (exp a))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 3))))) (* (exp (+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))) (+ (* 2 (/ (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 2))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(+ (* -1 (pow a 2)) (pow (log (+ 1 (exp a))) 2))
(+ (* -1 (pow a 2)) (+ (* 2 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2)))
(+ (* -1 (pow a 2)) (+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (pow (log (+ 1 (exp a))) 2)))
(+ (* -1 (pow a 2)) (+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* b (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))) (pow (log (+ 1 (exp a))) 2)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(pow (log (+ 1 (exp a))) 2)
(+ (* 2 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (pow (log (+ 1 (exp a))) 2))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* b (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))) (pow (log (+ 1 (exp a))) 2))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ (exp a) (exp b))) 2)) (+ a (log (+ (exp a) (exp b)))))))
(exp (+ (* -1 (pow a 2)) (pow (log (+ (exp a) (exp b))) 2)))
(+ (* -1 (pow a 2)) (pow (log (+ (exp a) (exp b))) 2))
(* 1/48 (pow b 3))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	b	@	inf	((pow (- (neg (log (+ (exp a) (exp b)))) a) -1) (pow (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (pow (- (neg (log (+ (exp a) (exp b)))) a) -1)) (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (pow (log (+ (exp a) (exp b))) 2))
31.0ms	b	@	-inf	((pow (- (neg (log (+ (exp a) (exp b)))) a) -1) (pow (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (pow (- (neg (log (+ (exp a) (exp b)))) a) -1)) (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (pow (log (+ (exp a) (exp b))) 2))
15.0ms	a	@	inf	((pow (- (neg (log (+ (exp a) (exp b)))) a) -1) (pow (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (pow (- (neg (log (+ (exp a) (exp b)))) a) -1)) (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (pow (log (+ (exp a) (exp b))) 2))
11.0ms	a	@	-inf	((pow (- (neg (log (+ (exp a) (exp b)))) a) -1) (pow (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (pow (- (neg (log (+ (exp a) (exp b)))) a) -1)) (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (pow (log (+ (exp a) (exp b))) 2))
10.0ms	b	@	0	((pow (- (neg (log (+ (exp a) (exp b)))) a) -1) (pow (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (pow (- (neg (log (+ (exp a) (exp b)))) a) -1)) (exp (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2))) (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ (exp b) 1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (pow (log (+ (exp a) (exp b))) 2))

simplify206.0ms (3.2%)

Memory

-20.9MiB live, 212.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	6450
1	2042	6298
2	7381	6281
0	8516	5507

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 106

Calls

Call 1

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

Outputs
(/ -1 (log (+ 1 (exp b))))
(/.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 b)))
(- (/ (* a (+ 1 (/ 1 (+ 1 (exp b))))) (pow (log (+ 1 (exp b))) 2)) (/ 1 (log (+ 1 (exp b)))))
(-.f64 (/.f64 (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) a) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 b))))
(- (* a (- (* -1 (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (* -1 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (pow (log (+ 1 (exp b))) 2))))) (/ 1 (log (+ 1 (exp b)))))
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(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1 (* (pow (log (+ 1 (exp b))) 2) (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (pow (log (+ 1 (exp b))) 2))) (/ (pow (+ 1 (/ 1 (+ 1 (exp b)))) 2) (pow (log (+ 1 (exp b))) 3))))) (+ (* -1/2 (/ (+ (* -4 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (* 2 (- (+ (* 2 (/ (pow (log (+ 1 (exp b))) 2) (pow (+ 1 (exp b)) 2))) (+ (* (log (+ 1 (exp b))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (pow (+ 1 (exp b)) 2)))) 1))) (log (+ 1 (exp b))))) (+ (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)) (* 2 (/ (+ 1 (/ 1 (+ 1 (exp b)))) (* (log (+ 1 (exp b))) (+ 1 (exp b))))))))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
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1/2
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(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(+ (* 2 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (log1p.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (pow (log (+ 1 (exp a))) 2))
(fma.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) b (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(+ (* b (+ (* 2 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (* b (+ (* b (- (+ (* 1/3 (* (log (+ 1 (exp a))) (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 3)))) (+ (* (log (+ 1 (exp a))) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (pow (+ 1 (exp a)) 2))))))) (pow (log (+ 1 (exp a))) 2))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) b (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (.f64 (/.f64 (log1p.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) b (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(/ -1 (+ a (log (+ (exp a) (exp b)))))
(/.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a))
(exp (* -1 (/ (+ (* -1 (pow a 2)) (pow (log (+ (exp a) (exp b))) 2)) (+ a (log (+ (exp a) (exp b)))))))
(exp.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 a) a (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))) (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a))))
(exp (+ (* -1 (pow a 2)) (pow (log (+ (exp a) (exp b))) 2)))
(exp.f64 (fma.f64 (neg.f64 a) a (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))))
(+ (* -1 (pow a 2)) (pow (log (+ (exp a) (exp b))) 2))
(fma.f64 (neg.f64 a) a (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)))
(* 1/48 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))
(* 1/48 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/48 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))) b) b)
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 b b)) #s(literal 1/48 binary64))) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal 3 binary64)))

rewrite261.0ms (4%)

Memory

-6.4MiB live, 248.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	242
0	69	242
1	253	227
2	1594	225
0	8645	225

Stop Event

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

Counts

19 → 363

Calls

Call 1

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

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

eval79.0ms (1.2%)

Memory: 6.5MiB live, 126.1MiB allocated
Compiler: Compiled 25 272 to 2 438 computations (90.4% saved)

prune16.0ms (0.2%)

Memory

12.4MiB live, 51.1MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	509	8	517
Fresh	6	4	10
Picked	2	3	5
Done	0	1	1
Total	517	16	533

Accuracy

100.0%

Counts

533 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(pow.f64 (exp.f64 #s(approx (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2)) (*.f64 (neg.f64 a) a))) (pow.f64 (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) #s(literal -1 binary64)))
▶	68.3%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
✓	68.0%	(/.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 #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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
	36.3%	(/.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) #s(literal 2 binary64))))
▶	51.8%	(/.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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
▶	36.4%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
▶	51.8%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
✓	76.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
	47.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	43.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	34.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
✓	33.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
▶	34.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	15.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
✓	36.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 664 to 468 computations (29.5% saved)

simplify9.0ms (0.1%)

Memory

-28.4MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	323
0	51	323
1	68	323
2	79	323
3	100	323
4	121	323
5	123	323
0	123	319

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

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

localize71.0ms (1.1%)

Memory

0.7MiB live, 120.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7382853760724644	(/.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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
accuracy	21.01216838082824	#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
accuracy	21.519991732231947	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	25.3635619264182	#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))))
accuracy	0.7382853760724644	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
accuracy	21.01216838082824	#s(approx (+ (exp a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
accuracy	21.607135983667177	#s(approx (exp a) #s(literal 1 binary64))
accuracy	25.3635619264182	#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))))
accuracy	0.7382853760724644	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
accuracy	18.327202048955915	#s(approx (+ (exp a) 1) #s(literal 2 binary64))
accuracy	21.519991732231947	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	25.3635619264182	#s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
accuracy	0.046875	(fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy	15.173559947193715	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy	27.615658119645577	#s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy	27.955065955575716	#s(approx (+ (* (* b b) 1/48) -1/4) #s(literal -1/4 binary64))
accuracy	0.00390625	(+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
accuracy	0.7382853760724644	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
accuracy	21.519991732231947	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	25.3635619264182	#s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))

Samples

50.0ms

256×

valid

Compiler

Compiled 488 to 65 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 9.0ms (29.3% of total)

ival-mult: 8.0ms (26% of total)

ival-div: 5.0ms (16.3% of total)

ival-exp: 4.0ms (13% of total)

const: 4.0ms (13% of total)

exact: 1.0ms (3.3% of total)

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

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

series6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

18 → 42

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) 1))
1.0ms	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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) 1))
1.0ms	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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) 1))
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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) 1))
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)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ 1 a) (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (+ (exp a) 1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) 1))

simplify158.0ms (2.4%)

Memory

6.4MiB live, 191.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	634
1	428	619
2	1265	602
3	4797	572
0	8239	523

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

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

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

rewrite222.0ms (3.4%)

Memory

19.9MiB live, 219.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	237
0	51	237
1	211	237
2	1357	237
0	8267	233

Stop Event

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

Counts

18 → 235

Calls

Call 1

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

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

eval77.0ms (1.2%)

Memory: -8.3MiB live, 84.4MiB allocated
Compiler: Compiled 11 598 to 1 144 computations (90.1% saved)

prune36.0ms (0.6%)

Memory

10.9MiB live, 48.5MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	358	6	364
Fresh	1	6	7
Picked	2	3	5
Done	0	4	4
Total	361	19	380

Accuracy

100.0%

Counts

380 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(pow.f64 (exp.f64 #s(approx (+ (* (neg a) a) (pow (log (+ (exp a) (exp b))) 2)) (*.f64 (neg.f64 a) a))) (pow.f64 (-.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) #s(literal -1 binary64)))
✓	68.0%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
	36.6%	(/.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
	37.1%	(/.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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))))
	36.4%	(/.f64 #s(approx (exp a) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) a))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
	36.4%	(/.f64 #s(approx (exp a) (-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1 binary64))))) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
	37.3%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
✓	36.4%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
	37.3%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
✓	51.8%	(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #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)))))
✓	76.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
	47.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	43.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	34.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 #s(literal 2 binary64) b))))
✓	33.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
✓	34.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 #s(approx (+ (* (* b b) 1/48) -1/4) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	3.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (.f64 (fma.f64 (.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b))))
	15.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
✓	36.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 199 to 477 computations (60.2% saved)

regimes50.0ms (0.8%)

Memory

-32.2MiB live, 83.4MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(exp.f64 b)
9.0ms	b
9.0ms	a
7.0ms	(exp.f64 a)
6.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes37.0ms (0.6%)

Memory

24.4MiB live, 99.2MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	a
8.0ms	b
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 b)
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
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)

regimes36.0ms (0.6%)

Memory

-9.0MiB live, 77.4MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

5 calls:

9.0ms	b
8.0ms	(exp.f64 b)
7.0ms	a
5.0ms	(exp.f64 a)
5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
99.0%	2	`a`
99.2%	3	`b`
85.4%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.0%	2	`(exp.f64 a)`
99.2%	3	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes30.0ms (0.5%)

Memory

-11.1MiB live, 63.8MiB allocated

Counts

20 → 2

Calls

Call 1

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

8.0ms	a
6.0ms	b
4.0ms	(exp.f64 b)
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
68.0%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
77.6%	2	`b`
73.4%	2	`(exp.f64 b)`
75.3%	2	`a`
74.8%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes52.0ms (0.8%)

Memory

1.5MiB live, 58.0MiB allocated

Counts

19 → 3

Calls

Call 1

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

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 #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)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))

#s(approx (/ (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:

31.0ms	(exp.f64 b)
6.0ms	a
6.0ms	b
4.0ms	(exp.f64 a)
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
51.8%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
60.1%	2	`(exp.f64 b)`
58.6%	2	`(exp.f64 a)`
65.1%	3	`a`
62.8%	2	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes13.0ms (0.2%)

Memory

5.3MiB live, 43.9MiB allocated

Counts

18 → 2

Calls

Call 1

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

Calls

2 calls:

7.0ms	b
5.0ms	a

Results

Accuracy	Segments	Branch
62.8%	2	`b`
59.7%	2	`a`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

-5.0MiB live, 34.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

Calls

3 calls:

4.0ms	b
4.0ms	a
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
56.4%	2	`a`
56.0%	2	`(exp.f64 b)`
59.0%	2	`b`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes43.0ms (0.7%)

Memory

-11.5MiB live, 27.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

31.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	a
3.0ms	b
2.0ms	(exp.f64 b)
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
47.2%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
47.2%	2	`(exp.f64 b)`
43.8%	1	`a`
43.8%	1	`(exp.f64 a)`
47.2%	2	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.2%)

Memory

33.3MiB live, 33.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
37.3%	1	`a`
37.3%	1	`(exp.f64 a)`
37.3%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
37.3%	1	`(exp.f64 b)`
37.3%	1	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes31.0ms (0.5%)

Memory

-25.7MiB live, 15.2MiB allocated

Accuracy

Total -22.0b remaining (-54.4%)

Threshold costs -22b (-54.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	(exp.f64 b)
3.0ms	b
2.0ms	a
2.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
36.8%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
36.8%	1	`a`
36.8%	1	`(exp.f64 a)`
36.8%	1	`b`
36.8%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	8.859302221222893e-11

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch12.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.1147378729439515e+93	3.830435703419489e+95

Samples

6.0ms

128×

valid

Compiler

Compiled 339 to 267 computations (21.2% saved)

Precisions

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

ival-exp: 2.0ms (60.6% of total)

ival-div: 1.0ms (30.3% of total)

ival-add: 1.0ms (30.3% of total)

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

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

bsearch57.0ms (0.9%)

Memory

-14.8MiB live, 23.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-1730.750637505589	-23.146968017488586
14.0ms	-3.8816734305794533e+158	-9.851737267724902e+153

Samples

12.0ms	240×	0	valid
1.0ms	28×	0	exit

Compiler

Compiled 872 to 655 computations (24.9% saved)

Precisions

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

ival-exp: 4.0ms (53.5% of total)

ival-div: 2.0ms (26.8% of total)

ival-add: 1.0ms (13.4% of total)

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

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

bsearch2.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1147378729439515e+93	3.830435703419489e+95

Compiler

Compiled 403 to 299 computations (25.8% saved)

bsearch16.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.431602627509744e+148	9.586186283995684e+161

Samples

8.0ms

160×

valid

Compiler

Compiled 471 to 351 computations (25.5% saved)

Precisions

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

ival-exp: 2.0ms (47.5% of total)

ival-div: 1.0ms (23.8% of total)

ival-add: 1.0ms (23.8% of total)

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

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

bsearch9.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.125148520170868e-215	7.609941916451197e-214

Samples

5.0ms

96×

valid

Compiler

Compiled 275 to 185 computations (32.7% saved)

Precisions

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

ival-div: 1.0ms (39.2% of total)

ival-exp: 1.0ms (39.2% of total)

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

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

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

simplify13.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	375
1	98	375
2	109	375
3	137	375
4	141	375

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 379999999999999992861786645942786841441830521709403736413797168157049324848731684543424580550656 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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) (if (<=.f64 a #s(literal -1000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 b #s(literal 379999999999999992861786645942786841441830521709403736413797168157049324848731684543424580550656 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 #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 719999999999999977479564552607627018620760715445775118781942335063135357408766189575263296042904149498852874826483937188058004003275915640312809387982848 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 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 2231744757682269/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

Outputs
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64) a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 0 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 379999999999999992861786645942786841441830521709403736413797168157049324848731684543424580550656 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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 379999999999999992861786645942786841441830521709403736413797168157049324848731684543424580550656 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) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) (if (<=.f64 a #s(literal -1000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))))
(if (<=.f64 a #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 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 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))))) (if (<=.f64 a #s(literal -1000 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(approx (/ (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 b #s(literal 379999999999999992861786645942786841441830521709403736413797168157049324848731684543424580550656 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 #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 379999999999999992861786645942786841441830521709403736413797168157049324848731684543424580550656 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 #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) (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 b #s(literal 719999999999999977479564552607627018620760715445775118781942335063135357408766189575263296042904149498852874826483937188058004003275915640312809387982848 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 #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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 719999999999999977479564552607627018620760715445775118781942335063135357408766189575263296042904149498852874826483937188058004003275915640312809387982848 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 #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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 2231744757682269/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 2231744757682269/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 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))))
(/.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (+ (exp a) (exp b)) (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (+ (exp b) 1)) #s(literal 1/2 binary64)))

soundness1.1s (17.2%)

Memory

6.4MiB live, 636.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	634
1	428	619
2	1265	602
3	4797	572
0	8239	523
0	293	1597
1	846	1524
2	2565	1466
0	8561	1334
0	643	6450
1	2042	6298
2	7381	6281
0	8516	5507
0	6	17
0	10	17
1	32	17
2	203	17
3	1947	17
0	8681	17
0	120	516
1	332	501
2	973	484
3	3759	453
0	8455	416

Stop Event

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

Compiler

Compiled 624 to 309 computations (50.5% saved)

preprocess59.0ms (0.9%)

Memory: -21.8MiB live, 98.9MiB allocated
Compiler: Compiled 782 to 202 computations (74.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	97
0	31	97
1	41	97
2	48	95
3	52	94
4	61	94
5	76	94
6	101	94
7	153	94
8	222	94
9	332	94
10	415	94
11	495	94
12	557	94
13	605	94
14	665	94
15	687	94
16	688	94
0	688	94

Iter	Nodes	Cost
0	20	97
0	31	97
1	41	97
2	48	95
3	52	94
4	61	94
5	76	94
6	101	94
7	153	94
8	222	94
9	332	94
10	415	94
11	495	94
12	557	94
13	605	94
14	665	94
15	687	94
16	688	94
0	688	94

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.1s (17.2%)

explain341.0ms (5.3%)

preprocess87.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize23.0ms (0.4%)

series6.0ms (0.1%)

simplify203.0ms (3.1%)

rewrite171.0ms (2.6%)

eval44.0ms (0.7%)

prune6.0ms (0.1%)

simplify23.0ms (0.4%)

localize179.0ms (2.8%)

series126.0ms (2%)

simplify206.0ms (3.2%)

rewrite225.0ms (3.5%)

eval90.0ms (1.4%)

prune74.0ms (1.1%)

simplify160.0ms (2.5%)

localize527.0ms (8.1%)

series117.0ms (1.8%)

simplify206.0ms (3.2%)

rewrite261.0ms (4%)

eval79.0ms (1.2%)

prune16.0ms (0.2%)

simplify9.0ms (0.1%)

localize71.0ms (1.1%)

series6.0ms (0.1%)

simplify158.0ms (2.4%)

rewrite222.0ms (3.4%)

eval77.0ms (1.2%)

prune36.0ms (0.6%)

regimes50.0ms (0.8%)

regimes37.0ms (0.6%)

regimes36.0ms (0.6%)

regimes30.0ms (0.5%)

regimes52.0ms (0.8%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes43.0ms (0.7%)

regimes14.0ms (0.2%)

regimes31.0ms (0.5%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

bsearch57.0ms (0.9%)

bsearch2.0ms (0%)

bsearch16.0ms (0.2%)

bsearch9.0ms (0.1%)

simplify13.0ms (0.2%)

soundness1.1s (17.2%)

preprocess59.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	97
0	31	97
1	41	97
2	48	95
3	52	94
4	61	94
5	76	94
6	101	94
7	153	94
8	222	94
9	332	94
10	415	94
11	495	94
12	557	94
13	605	94
14	665	94
15	687	94
16	688	94
0	688	94