Metrics for Quotient of sum of exps

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

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)

sample2.4s (28.4%)

Memory

-327.4MiB live, 2 184.0MiB allocated; 1.5s collecting garbage

Samples

759.0ms	8 256×	0	valid
290.0ms	2 904×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 563.0ms

ival-exp: 264.0ms (46.9% of total)

ival-div: 167.0ms (29.6% of total)

ival-add: 125.0ms (22.2% of total)

adjust: 4.0ms (0.7% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain92.0ms (1.1%)

Memory

-13.6MiB live, 132.9MiB allocated; 17ms collecting garbage

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	77
↳	`(exp.f64 a)`	overflow	3
↳	`(exp.f64 b)`	overflow	74

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

26.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-exp: 7.0ms (51% of total)

ival-div: 3.0ms (21.9% of total)

ival-add: 2.0ms (14.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess163.0ms (2%)

Memory

22.5MiB live, 162.3MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	46	56
2	147	56
3	563	51
4	3260	51
0	6	8
0	10	8
1	17	8
2	43	8
3	119	8
4	582	8
5	5983	8
0	8050	8

Stop Event

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

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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)

series7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

6 → 30

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
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))

Calls

6 calls:

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

rewrite222.0ms (2.7%)

Memory

-6.2MiB live, 332.9MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	730
0	158	693
1	1024	684
0	8044	668

Stop Event

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

Counts

36 → 54

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
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (exp b) #s(hole binary64 (exp b)))

Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (sinh.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (.f64 (cosh.f64 a) (cosh.f64 a)) (.f64 (sinh.f64 a) (sinh.f64 a))) (-.f64 (cosh.f64 a) (sinh.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 a) (cosh.f64 a)) (-.f64 (.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 (+.f64 a b))))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(/.f64 (-.f64 (.f64 (cosh.f64 b) (cosh.f64 b)) (.f64 (sinh.f64 b) (sinh.f64 b))) (-.f64 (cosh.f64 b) (sinh.f64 b)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 b) (cosh.f64 b)) (-.f64 (.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (-.f64 (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))) (.f64 #s(literal 3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (-.f64 (+.f64 (.f64 (-.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -4 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))))))) a) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))) (.f64 #s(literal 3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (-.f64 a #s(literal -1 binary64)))
#s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a) #s(literal -1 binary64)))
#s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (-.f64 (.f64 (neg.f64 b) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 b) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64))))) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64)))))) b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal -1/2 binary64)) b) #s(literal -1 binary64)) b)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) b) #s(literal -1 binary64)))
#s(approx (exp b) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal -1/2 binary64)) b) #s(literal -1 binary64)) b) #s(literal -1 binary64)))
#s(approx b b)
#s(approx (exp b) (exp.f64 b))

eval40.0ms (0.5%)

Memory

-1.6MiB live, 45.2MiB allocated; 2ms collecting garbage

Samples

26.0ms	182×	0	valid
3.0ms	74×	0	invalid

Compiler

Compiled 1 351 to 284 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 21.0ms (88.2% of total)

ival-div: 1.0ms (4.2% of total)

ival-add: 1.0ms (4.2% of total)

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

adjust: 0.0ms (0% of total)

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

prune92.0ms (1.1%)

Memory

-24.6MiB live, 119.8MiB allocated; 12ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	57	8	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	8	66

Accuracy

99.4%

Counts

66 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶	63.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	97.4%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶	98.3%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
▶	73.8%	(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
▶	51.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
	52.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
▶	62.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))

Samples

59.0ms	728×	0	valid
11.0ms	296×	0	invalid

Compiler

Compiled 288 to 202 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 28.0ms (55.8% of total)

ival-div: 17.0ms (33.9% of total)

ival-add: 4.0ms (8% of total)

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

adjust: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Memory

15.5MiB live, 61.2MiB allocated; 5ms collecting garbage

Counts

39 → 127

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))
(+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)
(-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
(ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64)))
(-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a)
(-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a)
(-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 (*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 b)
(/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (* (- (* 1/2 a) -1) a) #s(hole binary64 a))
#s(approx (* (- (* 1/2 a) -1) a) #s(hole binary64 (* a (+ 1 (* 1/2 a)))))
#s(approx (- (* 1/2 a) -1) #s(hole binary64 1))
#s(approx (- (* 1/2 a) -1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 1))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (+ 1 a)))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 a))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* a (+ 1 (* 1/2 a)))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 1))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (* (- (* 1/6 a) -1/2) a) #s(hole binary64 (* 1/2 a)))
#s(approx (* (- (* 1/6 a) -1/2) a) #s(hole binary64 (* a (+ 1/2 (* 1/6 a)))))
#s(approx (- (* 1/6 a) -1/2) #s(hole binary64 1/2))
#s(approx (- (* 1/6 a) -1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (* 1/6 a) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* -1 (* a (- (* 1/8 b) (* 3/16 b))))))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1 (- (* 1/8 b) (* 3/16 b))) (* a (- (* -1 (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b)))) 1/48))))))))))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1/4 b)))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (+ (* -1 (* (pow a 2) (- (* 1/8 b) (* 3/16 b)))) (* -1/4 b))))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (+ (* -1/4 b) (* (pow a 2) (+ (* -1 (* a (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b))))) (* -1 (- (* 1/8 b) (* 3/16 b))))))))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (+ (* -1/4 b) (* (pow a 2) (+ (* -1 (- (* 1/8 b) (* 3/16 b))) (* a (+ (* -1 (* a (- (+ (* 1/96 b) (+ (* 5/48 b) (* 1/8 b))) (+ (* 1/24 b) (+ (* 3/64 b) (+ (* 3/16 b) (* 3/4 (- (* 1/8 b) (* 3/16 b))))))))) (* -1 (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b)))))))))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 1/4))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow a 2)))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (+ 1/4 (* (pow a 2) (- (* 1/96 (pow a 2)) 1/16)))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (+ 1/4 (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -17/11520 (pow a 2)))) 1/16)))))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 4))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 (+ 4 (* 4 a))))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 (+ 4 (* a (+ 4 (* 3 a))))))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 (+ 4 (* a (+ 4 (* a (+ 3 (* 5/3 a))))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (* (- (* 1/2 a) -1) a) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (* (- (* 1/2 a) -1) a) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (* 1/2 a) -1) #s(hole binary64 (* 1/2 a)))
#s(approx (- (* 1/2 a) -1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (* (- (* 1/6 a) -1/2) a) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (* (- (* 1/6 a) -1/2) a) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (- (* 1/6 a) -1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (- (* 1/6 a) -1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (/ (exp a) (pow (+ 1 (exp a)) 2))))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 (pow (+ 1 (exp a)) 2)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (- (exp b) -1) (exp b) b -1 (* (- (* 1/2 a) -1) a) (- (* 1/2 a) -1) (* 1/2 a) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (- (* (- (* 1/6 a) -1/2) a) -1) (* (- (* 1/6 a) -1/2) a) (- (* 1/6 a) -1/2) (* 1/6 a) 1/6 -1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (neg b) (/ (exp a) (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) 2 (/ (exp a) (- (exp a) -1)))
6.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (- (exp b) -1) (exp b) b -1 (* (- (* 1/2 a) -1) a) (- (* 1/2 a) -1) (* 1/2 a) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (- (* (- (* 1/6 a) -1/2) a) -1) (* (- (* 1/6 a) -1/2) a) (- (* 1/6 a) -1/2) (* 1/6 a) 1/6 -1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (neg b) (/ (exp a) (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) 2 (/ (exp a) (- (exp a) -1)))
5.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (- (exp b) -1) (exp b) b -1 (* (- (* 1/2 a) -1) a) (- (* 1/2 a) -1) (* 1/2 a) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (- (* (- (* 1/6 a) -1/2) a) -1) (* (- (* 1/6 a) -1/2) a) (- (* 1/6 a) -1/2) (* 1/6 a) 1/6 -1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (neg b) (/ (exp a) (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) 2 (/ (exp a) (- (exp a) -1)))
4.0ms	a	@	0	((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (- (exp b) -1) (exp b) b -1 (* (- (* 1/2 a) -1) a) (- (* 1/2 a) -1) (* 1/2 a) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (- (* (- (* 1/6 a) -1/2) a) -1) (* (- (* 1/6 a) -1/2) a) (- (* 1/6 a) -1/2) (* 1/6 a) 1/6 -1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (neg b) (/ (exp a) (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) 2 (/ (exp a) (- (exp a) -1)))
3.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) a (+ (exp a) (exp b)) (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (- (exp b) -1) (exp b) b -1 (* (- (* 1/2 a) -1) a) (- (* 1/2 a) -1) (* 1/2 a) 1/2 (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1 (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (- (* (- (* 1/6 a) -1/2) a) -1) (* (- (* 1/6 a) -1/2) a) (- (* 1/6 a) -1/2) (* 1/6 a) 1/6 -1/2 (+ (exp a) (exp b)) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (neg b) (/ (exp a) (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) 2 (/ (exp a) (- (exp a) -1)))

rewrite194.0ms (2.3%)

Memory

-6.3MiB live, 220.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	2993
0	534	2850
1	2836	2846
0	8430	2846

Stop Event

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

Counts

166 → 263

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(exp.f64 a)
a
#s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))
(+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)
(-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
(ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))
#s(literal 1 binary64)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64)))
(-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a)
(-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a)
(-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(+.f64 (exp.f64 a) (exp.f64 b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(+.f64 (*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 b)
(/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (* (- (* 1/2 a) -1) a) #s(hole binary64 a))
#s(approx (* (- (* 1/2 a) -1) a) #s(hole binary64 (* a (+ 1 (* 1/2 a)))))
#s(approx (- (* 1/2 a) -1) #s(hole binary64 1))
#s(approx (- (* 1/2 a) -1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 1))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (+ 1 a)))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 a))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* a (+ 1 (* 1/2 a)))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 1))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (+ 1 (* 1/2 a))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (+ 1 (* a (+ 1/2 (* 1/6 a))))))
#s(approx (* (- (* 1/6 a) -1/2) a) #s(hole binary64 (* 1/2 a)))
#s(approx (* (- (* 1/6 a) -1/2) a) #s(hole binary64 (* a (+ 1/2 (* 1/6 a)))))
#s(approx (- (* 1/6 a) -1/2) #s(hole binary64 1/2))
#s(approx (- (* 1/6 a) -1/2) #s(hole binary64 (+ 1/2 (* 1/6 a))))
#s(approx (* 1/6 a) #s(hole binary64 (* 1/6 a)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* -1 (* a (- (* 1/8 b) (* 3/16 b))))))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1 (- (* 1/8 b) (* 3/16 b))) (* a (- (* -1 (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b)))) 1/48))))))))))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1/4 b)))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (+ (* -1 (* (pow a 2) (- (* 1/8 b) (* 3/16 b)))) (* -1/4 b))))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (+ (* -1/4 b) (* (pow a 2) (+ (* -1 (* a (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b))))) (* -1 (- (* 1/8 b) (* 3/16 b))))))))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (+ (* -1/4 b) (* (pow a 2) (+ (* -1 (- (* 1/8 b) (* 3/16 b))) (* a (+ (* -1 (* a (- (+ (* 1/96 b) (+ (* 5/48 b) (* 1/8 b))) (+ (* 1/24 b) (+ (* 3/64 b) (+ (* 3/16 b) (* 3/4 (- (* 1/8 b) (* 3/16 b))))))))) (* -1 (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b)))))))))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 1/4))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (+ 1/4 (* -1/16 (pow a 2)))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (+ 1/4 (* (pow a 2) (- (* 1/96 (pow a 2)) 1/16)))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (+ 1/4 (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -17/11520 (pow a 2)))) 1/16)))))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 4))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 (+ 4 (* 4 a))))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 (+ 4 (* a (+ 4 (* 3 a))))))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 (+ 4 (* a (+ 4 (* a (+ 3 (* 5/3 a))))))))
#s(approx (- (exp a) -1) #s(hole binary64 2))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))))
#s(approx (* (- (* 1/2 a) -1) a) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (* (- (* 1/2 a) -1) a) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a)))))
#s(approx (- (* 1/2 a) -1) #s(hole binary64 (* 1/2 a)))
#s(approx (- (* 1/2 a) -1) #s(hole binary64 (* a (+ 1/2 (/ 1 a)))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* 1/6 (pow a 3))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(hole binary64 (* (pow a 2) (+ 1/6 (+ (* 1/2 (/ 1 a)) (/ 1 (pow a 2)))))))
#s(approx (* (- (* 1/6 a) -1/2) a) #s(hole binary64 (* 1/6 (pow a 2))))
#s(approx (* (- (* 1/6 a) -1/2) a) #s(hole binary64 (* (pow a 2) (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (- (* 1/6 a) -1/2) #s(hole binary64 (* 1/6 a)))
#s(approx (- (* 1/6 a) -1/2) #s(hole binary64 (* a (+ 1/6 (* 1/2 (/ 1 a))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (/ (exp a) (pow (+ 1 (exp a)) 2))))
#s(approx (pow (- (exp a) -1) 2) #s(hole binary64 (pow (+ 1 (exp a)) 2)))
#s(approx (- (exp a) -1) #s(hole binary64 (+ 1 (exp a))))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6)))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (/ 1 a)) a)) 1/6)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) #s(hole binary64 (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (- (exp b) -1) #s(hole binary64 2))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))

Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) (-.f64 #s(literal -1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) (-.f64 #s(literal -1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) (-.f64 #s(literal -1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) (-.f64 #s(literal -1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a) #s(literal 2 binary64)) (.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))))
(-.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))) a))
(-.f64 (exp.f64 b) (-.f64 #s(literal -1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))
(+.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(literal -1 binary64)
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)
(.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) (exp.f64 a))
(+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (neg.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64)))) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))))
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(-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))
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(-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a)
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(-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 a #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
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(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 b))))
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(/.f64 (+.f64 (.f64 (.f64 (neg.f64 b) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)) (exp.f64 a))) (.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
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(+.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 b)))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
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(/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
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(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
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(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))
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(pow.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (exp.f64 a) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(literal 2 binary64)
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(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (+.f64 (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)) (.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/2 binary64))) (.f64 #s(literal 3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (+.f64 (+.f64 (.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/2 binary64)) (.f64 (-.f64 (-.f64 (-.f64 (.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/6 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (.f64 (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (+.f64 (+.f64 (.f64 (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (/.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.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))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)))) a)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (.f64 #s(literal 3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64)))
#s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a)))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (* (- (* 1/2 a) -1) a) a)
#s(approx (* (- (* 1/2 a) -1) a) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a))
#s(approx (- (* 1/2 a) -1) #s(literal 1 binary64))
#s(approx (- (* 1/2 a) -1) (+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
#s(approx (* 1/2 a) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) #s(literal 1 binary64))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (+.f64 #s(literal 1 binary64) a))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64)))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64)))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) a)
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) #s(literal 1 binary64))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) (+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)))
#s(approx (* (- (* 1/6 a) -1/2) a) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (* (- (* 1/6 a) -1/2) a) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a))
#s(approx (- (* 1/6 a) -1/2) #s(literal 1/2 binary64))
#s(approx (- (* 1/6 a) -1/2) (+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))
#s(approx (* 1/6 a) (*.f64 #s(literal 1/6 binary64) a))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (neg.f64 (.f64 (.f64 b #s(literal -1/16 binary64)) a)) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a)))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (-.f64 (neg.f64 (.f64 (.f64 a a) (.f64 b #s(literal -1/16 binary64)))) (.f64 #s(literal 1/4 binary64) b)))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (+.f64 (.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64))) a) (.f64 b #s(literal -1/16 binary64)))) (.f64 a a)) (.f64 #s(literal -1/4 binary64) b)))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (neg.f64 (.f64 (-.f64 (-.f64 (+.f64 (.f64 #s(literal 1/96 binary64) b) (.f64 b #s(literal 11/48 binary64))) (.f64 #s(literal 1/24 binary64) b)) (+.f64 (-.f64 (.f64 #s(literal 3/16 binary64) b) (.f64 #s(literal -3/4 binary64) (.f64 b #s(literal -1/16 binary64)))) (.f64 #s(literal 3/64 binary64) b))) a)) (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64))))) a) (neg.f64 (.f64 b #s(literal -1/16 binary64)))) (.f64 a a)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(literal 1/4 binary64))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 a a)) #s(literal 1/4 binary64)))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/96 binary64) (.f64 a a)) #s(literal 1/16 binary64)) (.f64 a a)) #s(literal 1/4 binary64)))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -17/11520 binary64) (.f64 a a)) #s(literal 1/96 binary64)) (.f64 a a)) #s(literal 1/16 binary64)) (.f64 a a)) #s(literal 1/4 binary64)))
#s(approx (pow (- (exp a) -1) 2) #s(literal 4 binary64))
#s(approx (pow (- (exp a) -1) 2) (+.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
#s(approx (pow (- (exp a) -1) 2) (+.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) a) #s(literal 4 binary64)) a) #s(literal 4 binary64)))
#s(approx (pow (- (exp a) -1) 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 5/3 binary64) a) #s(literal 3 binary64)) a) #s(literal 4 binary64)) a) #s(literal 4 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))
#s(approx (- (exp a) -1) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (- (exp a) -1)) (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/48 binary64) (*.f64 a a)) #s(literal 1/4 binary64)) a) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/480 binary64) (.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a)) #s(literal 1/4 binary64)) a) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (+.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a a))) (*.f64 a a)))
#s(approx (* (- (* 1/2 a) -1) a) (.f64 (.f64 a a) #s(literal 1/2 binary64)))
#s(approx (* (- (* 1/2 a) -1) a) (+.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a))
#s(approx (- (* 1/2 a) -1) (*.f64 #s(literal 1/2 binary64) a))
#s(approx (- (* 1/2 a) -1) (+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal -2 binary64))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal -2 binary64))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) (.f64 (.f64 a a) #s(literal 1/6 binary64)))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (.f64 a a)))
#s(approx (- (* (- (* 1/6 a) -1/2) a) -1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal -2 binary64))) (.f64 a a)))
#s(approx (* (- (* 1/6 a) -1/2) a) (.f64 (.f64 a a) #s(literal 1/6 binary64)))
#s(approx (* (- (* 1/6 a) -1/2) a) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (.f64 a a)))
#s(approx (- (* 1/6 a) -1/2) (*.f64 #s(literal 1/6 binary64) a))
#s(approx (- (* 1/6 a) -1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) a))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
#s(approx (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
#s(approx (pow (- (exp a) -1) 2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (/ (exp a) (- (exp a) -1)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) #s(literal 1 binary64)) a)) #s(literal 1/2 binary64)) (.f64 a a)))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (- (* (- (* (- (* 1/6 a) -1/2) a) -1) a) -1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (* (- (* (- (* 1/6 a) -1/2) a) -1) a) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (-.f64 (.f64 (neg.f64 b) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 b) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b)))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 2 binary64)))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (+.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) b) #s(literal 2 binary64)))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (+.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b)))
#s(approx (+ (- (exp b) -1) (* (- (* 1/2 a) -1) a)) (+.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (neg b) (neg.f64 b))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))

eval241.0ms (2.9%)

Memory

2.1MiB live, 247.6MiB allocated; 63ms collecting garbage

Samples

103.0ms	1 799×	0	valid
18.0ms	505×	0	invalid

Compiler

Compiled 11 274 to 1 572 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 19.0ms (48.2% of total)

ival-div: 12.0ms (30.4% of total)

ival-add: 6.0ms (15.2% of total)

ival-true: 2.0ms (5.1% of total)

adjust: 1.0ms (2.5% of total)

ival-assert: 1.0ms (2.5% of total)

prune124.0ms (1.5%)

Memory

32.9MiB live, 228.4MiB allocated; 13ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	358	13	371
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	364	15	379

Accuracy

99.9%

Counts

379 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	62.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
	74.9%	(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) (exp.f64 b)))
	77.8%	(/.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
✓	51.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	33.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
	33.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
	34.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	80.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	33.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
	33.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
	34.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
▶	36.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
	34.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
▶	34.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))

Samples

73.0ms	1 466×	0	valid
14.0ms	326×	0	invalid

Compiler

Compiled 753 to 502 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 16.0ms (43.5% of total)

ival-mult: 11.0ms (29.9% of total)

ival-add: 8.0ms (21.8% of total)

ival-true: 1.0ms (2.7% of total)

ival-assert: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-22.2MiB live, 26.9MiB allocated; 6ms collecting garbage

Counts

33 → 102

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))
(+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
(*.f64 #s(literal 1/4 binary64) a)
#s(literal 1/4 binary64)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
(ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64))))
#s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b)
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b)
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) b)
#s(literal 1/6 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* -1 (* a (- (* 1/8 b) (* 3/16 b))))))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1 (- (* 1/8 b) (* 3/16 b))) (* a (- (* -1 (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b)))) 1/48))))))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* 1/4 a) #s(hole binary64 (* 1/4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* b (+ 1 (* 1/2 b)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* 1/2 b)))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* b (+ 1/2 (* 1/6 b)))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (* 1/6 b) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))
3.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))
3.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))
2.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))
2.0ms	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (exp b) b (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) 1/2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* -1/4 b) -1/4 (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (exp a) (exp b))

rewrite213.0ms (2.6%)

Memory

17.0MiB live, 202.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	375	2438
0	401	2324
1	2209	2315
0	10409	2267

Stop Event

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

Counts

135 → 262

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 b)
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))
(+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
(*.f64 #s(literal 1/4 binary64) a)
#s(literal 1/4 binary64)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
(ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64))))
#s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b)
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b)
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) b)
#s(literal 1/6 binary64)
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(exp.f64 a)
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* -1 (* a (- (* 1/8 b) (* 3/16 b))))))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1 (- (* 1/8 b) (* 3/16 b))) (* a (- (* -1 (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b)))) 1/48))))))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* 1/4 a) #s(hole binary64 (* 1/4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (exp a) #s(hole binary64 1))
#s(approx (exp a) #s(hole binary64 (+ 1 a)))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a))))))
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (exp a) #s(hole binary64 (exp a)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* b (+ 1 (* 1/2 b)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* 1/2 b)))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* b (+ 1/2 (* 1/6 b)))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (* 1/6 b) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a)))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))))
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 b))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 b))))))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 b) (cosh.f64 b)) (-.f64 (.f64 (sinh.f64 b) (sinh.f64 b)) (*.f64 (cosh.f64 b) (sinh.f64 b)))))
(exp.f64 b)
(+.f64 (cosh.f64 b) (sinh.f64 b))
b
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) a))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) a)))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) a)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) a) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) b) (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) a)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64))) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) a))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)))))
(-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) a))
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)))))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)))))))
(+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))
(+.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/4 binary64) a) (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) b) (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) (.f64 #s(literal -1/4 binary64) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) b))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) b))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) b)))
(/.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) b)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) b))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))
(+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) b))))) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 #s(literal 1/4 binary64) a)
(*.f64 a #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
(pow.f64 (+.f64 #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) b))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) b))
(*.f64 #s(literal 1/6 binary64) b)
(*.f64 b #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 (/.f64 (cosh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))) (/.f64 (sinh.f64 a) (+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 a) (cosh.f64 a)) (-.f64 (.f64 (sinh.f64 a) (sinh.f64 a)) (*.f64 (cosh.f64 a) (sinh.f64 a)))))
(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))) (/.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))))))
(+.f64 #s(approx (exp b) #s(literal 1 binary64)) #s(approx (exp a) #s(literal 1 binary64)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (+.f64 (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))) (.f64 #s(literal 3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (-.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 #s(literal -3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)) (.f64 (/.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.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))))) a)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (.f64 #s(literal 3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) a)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (neg.f64 (.f64 (.f64 b #s(literal -1/16 binary64)) a)) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) a)))
#s(approx (* 1/4 a) (*.f64 #s(literal 1/4 binary64) a))
#s(approx a a)
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64)))
#s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))
#s(approx (exp a) (exp.f64 a))
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (+ 1 (exp b)) #s(literal 2 binary64))
#s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b)
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/6 b) 1/2) b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (* (+ (* 1/6 b) 1/2) b) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b))
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 b) 1/2) (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))
#s(approx (* 1/6 b) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b)))
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b)))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ 1 (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (/ (* 1 1) (+ 1 (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (+.f64 (pow.f64 b #s(literal -3 binary64)) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (.f64 b b)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal -2 binary64))) (.f64 b b)))
#s(approx (* (+ (* 1/6 b) 1/2) b) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
#s(approx (* (+ (* 1/6 b) 1/2) b) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (.f64 b b)))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b)))
#s(approx (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))

eval1.4s (17.1%)

Memory

94.0MiB live, 1 439.6MiB allocated; 253ms collecting garbage

Samples

700.0ms	13 799×	0	valid
336.0ms	6 678×	0	invalid
0.0ms	3×	1	valid

Compiler

Compiled 9 989 to 1 447 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 500.0ms

ival-add: 206.0ms (41.2% of total)

ival-mult: 154.0ms (30.8% of total)

ival-div: 118.0ms (23.6% of total)

ival-true: 11.0ms (2.2% of total)

ival-assert: 7.0ms (1.4% of total)

adjust: 5.0ms (1% of total)

prune231.0ms (2.8%)

Memory

6.3MiB live, 238.7MiB allocated; 57ms collecting garbage

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	258	11	269
Fresh	4	4	8
Picked	0	5	5
Done	1	1	2
Total	263	21	284

Accuracy

100.0%

Counts

284 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	51.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	33.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
	33.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
	33.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
▶	32.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
	34.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
	8.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
✓	80.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
▶	50.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
	46.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
	33.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
	33.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
	34.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
✓	36.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
	34.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
✓	34.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
▶	36.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
▶	34.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
	3.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
▶	3.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))

Samples

117.0ms	2 396×	0	valid
31.0ms	676×	0	invalid

Compiler

Compiled 1 191 to 796 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 48.0ms (59.4% of total)

ival-div: 17.0ms (21% of total)

ival-add: 13.0ms (16.1% of total)

ival-true: 2.0ms (2.5% of total)

adjust: 1.0ms (1.2% of total)

ival-assert: 1.0ms (1.2% of total)

series43.0ms (0.5%)

Memory

-29.1MiB live, 38.9MiB allocated; 39ms collecting garbage

Counts

41 → 127

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64))
(.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b)
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b)
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) b)
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)))
(+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) a)
#s(literal 1/4 binary64)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
(ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))))
#s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))
(+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b)
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
(.f64 (.f64 b b) #s(literal 1/6 binary64))
(*.f64 b b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
(.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b)
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)
(+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* -1 (* a (- (* 1/8 b) (* 3/16 b))))))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1 (- (* 1/8 b) (* 3/16 b))) (* a (- (* -1 (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b)))) 1/48))))))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* 1/4 a) #s(hole binary64 (* 1/4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (+ (* 1/4 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (- (* 1/2 (/ 1 b)) 1/4)))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (/ 1/2 b)))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b)))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* 1/4 a)))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* a (+ 1/4 (/ (* b (- (* 1/2 (/ 1 b)) 1/4)) a)))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (* 1/4 (/ a b))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (* a (- (+ (/ 1/2 (* a b)) (* 1/4 (/ 1 b))) (* 1/4 (/ 1 a))))))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (* 1/4 (/ a b))))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (* a (+ (* 1/4 (/ 1 b)) (* 1/2 (/ 1 (* a b)))))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b (- (* 1/2 (/ 1 b)) 1/4)) a)) 1/4)))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* 1/2 (/ 1 b)) 1/4) a)) (* 1/4 (/ 1 b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* b (+ 1 (* 1/2 b)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* 1/2 b)))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* b (+ 1/2 (* 1/6 b)))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (* 1/6 b) #s(hole binary64 (* 1/6 b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (* b b) 1/6) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (/ (+ 1/2 (* 1/4 a)) b)))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (/ (+ 1/2 (+ (* -1/4 b) (* 1/4 a))) b)))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (/ (+ 1/2 (* 1/4 a)) b)))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* -1/4 b)))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 b 1/2 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* -1/4 b) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (* b b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (/ (+ (* 1/4 a) 1/2) b) (+ (* 1/4 a) 1/2))
4.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 b 1/2 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* -1/4 b) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (* b b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (/ (+ (* 1/4 a) 1/2) b) (+ (* 1/4 a) 1/2))
4.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 b 1/2 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* -1/4 b) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (* b b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (/ (+ (* 1/4 a) 1/2) b) (+ (* 1/4 a) 1/2))
3.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 b 1/2 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* -1/4 b) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (* b b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (/ (+ (* 1/4 a) 1/2) b) (+ (* 1/4 a) 1/2))
3.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (/ 1 (+ 1 (exp b))) 1 (+ 1 (exp b)) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (+ (* 1/6 b) 1/2) b) (+ (* 1/6 b) 1/2) (* 1/6 b) 1/6 b 1/2 2 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* -1/4 b) -1/4 (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+ (* -1/4 b) 1/2) (* 1/4 a) 1/4 a (/ (exp a) (+ (exp a) (exp b))) (/ (* 1 1) (+ 1 (exp b))) (exp b) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* (* b b) 1/6) (* b b) (/ (exp a) (+ (exp a) (exp b))) (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (/ (+ (* 1/4 a) 1/2) b) (+ (* 1/4 a) 1/2))

rewrite195.0ms (2.3%)

Memory

41.5MiB live, 284.1MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	3361
0	464	3189
1	2381	3176
0	8111	3136

Stop Event

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

Counts

168 → 302

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64))
(.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b)
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b)
(+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) b)
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)))
(+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) a)
#s(literal 1/4 binary64)
a
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
(ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))))
#s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))
(+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b)
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
(.f64 (.f64 b b) #s(literal 1/6 binary64))
(*.f64 b b)
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
(.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b)
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)
(+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* -1 (* a (- (* 1/8 b) (* 3/16 b))))))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* a (+ (* -1 (- (* 1/8 b) (* 3/16 b))) (* a (- (* -1 (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b)))) 1/48))))))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (* 1/4 a) #s(hole binary64 (* 1/4 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (+ (* 1/4 a) (* b (- (* 1/2 (/ 1 b)) 1/4)))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (- (* 1/2 (/ 1 b)) 1/4)))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4)))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (/ 1/2 b)))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b)))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* a (+ 1/4 (+ (* -1/4 (/ b a)) (* 1/2 (/ 1 a)))))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* 1/4 a)))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* a (+ 1/4 (/ (* b (- (* 1/2 (/ 1 b)) 1/4)) a)))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (* 1/4 (/ a b))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (* a (- (+ (/ 1/2 (* a b)) (* 1/4 (/ 1 b))) (* 1/4 (/ 1 a))))))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (* 1/4 (/ a b))))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (* a (+ (* 1/4 (/ 1 b)) (* 1/2 (/ 1 (* a b)))))))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* 1/4 a)))
#s(approx (+ (* 1/4 a) 1/2) #s(hole binary64 (* a (+ 1/4 (* 1/2 (/ 1 a))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ 1/2 (* -1/4 b)) a)) 1/4)))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b (- (* 1/2 (/ 1 b)) 1/4)) a)) 1/4)))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (* -1 (* a (- (* -1 (/ (- (* 1/2 (/ 1 b)) 1/4) a)) (* 1/4 (/ 1 b)))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(hole 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))))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 2))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 b)))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* b (+ 1 (* 1/2 b)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* 1/2 b))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (+ 1 (* b (+ 1/2 (* 1/6 b))))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* 1/2 b)))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* b (+ 1/2 (* 1/6 b)))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 b))))
#s(approx (* 1/6 b) #s(hole binary64 (* 1/6 b)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 1/2))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (exp b) #s(hole binary64 1))
#s(approx (exp b) #s(hole binary64 (+ 1 b)))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
#s(approx (* (* b b) 1/6) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (+ 1/2 (* 1/4 a))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (/ (+ 1/2 (* 1/4 a)) b)))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 (/ (+ 1/2 (+ (* -1/4 b) (* 1/4 a))) b)))
#s(approx (/ (+ (* 1/4 a) 1/2) b) #s(hole binary64 (/ (+ 1/2 (* 1/4 a)) b)))
#s(approx (/ 1 (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (+ 1 (exp b)) #s(hole binary64 (+ 1 (exp b))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (* (+ (* 1/6 b) 1/2) b) #s(hole binary64 (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* 1/6 b)))
#s(approx (+ (* 1/6 b) 1/2) #s(hole binary64 (* b (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1/4 b)))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* b (- (* 1/2 (/ 1 b)) 1/4))))
#s(approx (/ (* 1 1) (+ 1 (exp b))) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* 1/6 (pow b 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (/ 1 (pow b 3))))))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* -1/4 b)))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* b (- (+ (* 1/4 (/ a b)) (* 1/2 (/ 1 b))) 1/4))))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(hole binary64 -1/4))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))
#s(approx (+ (* -1/4 b) 1/2) #s(hole binary64 (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))) b)) 1/6)))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1 (/ (+ 1/2 (* 1/4 a)) b)))))))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.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)))
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#s(literal 1 binary64)
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a))))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (+.f64 (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)) (.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/2 binary64))) (.f64 #s(literal 3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (+.f64 (+.f64 (.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/2 binary64)) (.f64 (-.f64 (-.f64 (.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/6 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -4 binary64)) (.f64 (/.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.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))))) a)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (.f64 #s(literal 3/2 binary64) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) a)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (neg.f64 (.f64 (.f64 b #s(literal -1/16 binary64)) a)) #s(literal 1/4 binary64)) a)))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) a)))
#s(approx (* 1/4 a) (*.f64 #s(literal 1/4 binary64) a))
#s(approx a a)
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b) (.f64 #s(literal 1/4 binary64) a)))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)))
#s(approx (/ (+ (* 1/4 a) 1/2) b) (/.f64 #s(literal 1/2 binary64) b))
#s(approx (/ (+ (* 1/4 a) 1/2) b) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b))
#s(approx (+ (* 1/4 a) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/4 a) 1/2) (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) a) #s(literal 1/4 binary64)) a))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (.f64 (+.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b) a) #s(literal 1/4 binary64)) a))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64)))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) b) (/.f64 #s(literal 1/4 binary64) a)) a))
#s(approx (/ (+ (* 1/4 a) 1/2) b) (*.f64 (/.f64 a b) #s(literal 1/4 binary64)))
#s(approx (/ (+ (* 1/4 a) 1/2) b) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) b) a))
#s(approx (+ (* 1/4 a) 1/2) (*.f64 #s(literal 1/4 binary64) a))
#s(approx (+ (* 1/4 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/4 binary64)) a))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) a)) #s(literal 1/4 binary64)) a)))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b) a)) #s(literal 1/4 binary64)) a)))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) a)) (/.f64 #s(literal 1/4 binary64) b)) a)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (-.f64 (neg.f64 (.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ 1 (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (+ 1 (exp b)) #s(literal 2 binary64))
#s(approx (+ 1 (exp b)) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
#s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+.f64 #s(literal 2 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b)
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/6 b) 1/2) b) (*.f64 #s(literal 1/2 binary64) b))
#s(approx (* (+ (* 1/6 b) 1/2) b) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b))
#s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 b) 1/2) (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)))
#s(approx (* 1/6 b) (*.f64 #s(literal 1/6 binary64) b))
#s(approx b b)
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/4 b) 1/2) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) #s(literal 1/2 binary64))
#s(approx (/ 1 (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+.f64 #s(literal 1 binary64) b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))
#s(approx (* (* b b) 1/6) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) a)))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) a)) b))
#s(approx (/ (+ (* 1/4 a) 1/2) b) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b))
#s(approx (/ 1 (+ 1 (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ 1 (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (-.f64 (pow.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 b #s(literal -3 binary64))))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (.f64 b b)))
#s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal -2 binary64))) (.f64 b b)))
#s(approx (* (+ (* 1/6 b) 1/2) b) (.f64 (.f64 b b) #s(literal 1/6 binary64)))
#s(approx (* (+ (* 1/6 b) 1/2) b) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (.f64 b b)))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (+ (* 1/6 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (*.f64 (+.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (+ (* -1/4 b) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/4 binary64)) b))
#s(approx (/ 1 (+ 1 (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (+.f64 (pow.f64 b #s(literal -3 binary64)) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))
#s(approx (- (/ (+ (* 1/4 a) 1/2) b) 1/4) #s(literal -1/4 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 b b))) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 a) b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b)))
#s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b)))
#s(approx (+ (* -1/4 b) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) b)) b)))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (* (- (/ (+ (* 1/4 a) 1/2) b) 1/4) b) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) #s(literal 1/4 binary64)) b)))

eval688.0ms (8.3%)

Memory

-64.3MiB live, 877.2MiB allocated; 311ms collecting garbage

Samples

294.0ms	6 947×	0	valid
142.0ms	3 292×	0	invalid
0.0ms	1×	1	valid

Compiler

Compiled 14 700 to 1 848 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 82.0ms (41.7% of total)

ival-div: 57.0ms (29% of total)

ival-add: 46.0ms (23.4% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 4.0ms (2% of total)

adjust: 2.0ms (1% of total)

prune336.0ms (4%)

Memory

0.8MiB live, 387.6MiB allocated; 154ms collecting garbage

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	314	6	320
Fresh	2	8	10
Picked	2	3	5
Done	0	6	6
Total	318	23	341

Accuracy

100.0%

Counts

341 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.6%	(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
✓	51.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	33.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
	33.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
✓	32.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
	32.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
	34.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
	8.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
	49.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
✓	80.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
	46.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
	33.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
	33.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
	34.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
✓	36.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
	34.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
✓	34.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
✓	36.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
	34.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
	36.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
	11.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
	3.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
✓	3.9%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))

Samples

185.0ms	3 206×	0	valid
33.0ms	890×	0	invalid

Compiler

Compiled 1 962 to 781 computations (60.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 57.0ms (52.7% of total)

ival-div: 30.0ms (27.8% of total)

ival-add: 17.0ms (15.7% of total)

ival-true: 2.0ms (1.9% of total)

adjust: 1.0ms (0.9% of total)

ival-assert: 1.0ms (0.9% of total)

regimes56.0ms (0.7%)

Memory

4.3MiB live, 92.1MiB allocated; 16ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (-.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) (pow.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) a) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (+.f64 (*.f64 (neg.f64 b) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))

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

Calls

5 calls:

13.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	a
10.0ms	b
8.0ms	(exp.f64 b)
8.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes51.0ms (0.6%)

Memory

-9.1MiB live, 95.5MiB allocated; 13ms collecting garbage

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 (exp.f64 a) (exp.f64 b)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`(exp.f64 b)`
98.3%	1	`(exp.f64 a)`
98.3%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.3%	1	`a`
98.3%	1	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes45.0ms (0.5%)

Memory

28.1MiB live, 73.0MiB allocated; 6ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`(exp.f64 b)`
99.7%	2	`(exp.f64 a)`
99.6%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.7%	2	`a`
97.4%	1	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes28.0ms (0.3%)

Memory

-2.9MiB live, 42.0MiB allocated; 6ms collecting garbage

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.6%	2	`(exp.f64 a)`
99.6%	2	`a`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes27.0ms (0.3%)

Memory

-5.0MiB live, 40.2MiB allocated; 6ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))
(/.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.4%	2	`(exp.f64 a)`
80.2%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.4%	2	`a`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes35.0ms (0.4%)

Memory

0.5MiB live, 53.2MiB allocated; 11ms collecting garbage

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64))))

Outputs

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

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

Calls

4 calls:

14.0ms	b
8.0ms	a
6.0ms	(exp.f64 b)
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.4%	3	`(exp.f64 b)`
97.4%	3	`b`
98.0%	2	`(exp.f64 a)`
98.0%	2	`a`

Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes33.0ms (0.4%)

Memory

6.1MiB live, 51.3MiB allocated; 5ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))

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

Calls

4 calls:

12.0ms	b
8.0ms	a
6.0ms	(exp.f64 b)
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
80.2%	1	`(exp.f64 b)`
80.2%	1	`b`
80.2%	1	`(exp.f64 a)`
80.2%	1	`a`

Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes38.0ms (0.5%)

Memory

14.9MiB live, 60.1MiB allocated; 7ms collecting garbage

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) #s(approx (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 1) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))))))

Outputs

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

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

12.0ms	a
7.0ms	b
6.0ms	(exp.f64 b)
6.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
57.0%	2	`(exp.f64 a)`
68.7%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
58.2%	2	`a`
68.7%	2	`b`
68.7%	2	`(exp.f64 b)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes35.0ms (0.4%)

Memory

10.6MiB live, 56.0MiB allocated; 5ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/480 binary64) (.f64 b b)) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (-.f64 (.f64 b #s(literal 11/48 binary64)) (.f64 b #s(literal 11/48 binary64)))) #s(literal 1/48 binary64)) a) (neg.f64 (*.f64 b #s(literal -1/16 binary64)))) a) #s(literal 1/4 binary64)) a))))

Outputs

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

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

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

Results

Accuracy	Segments	Branch
50.3%	1	`(exp.f64 a)`
50.3%	1	`a`
53.3%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
53.6%	2	`(exp.f64 b)`
53.6%	2	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes23.0ms (0.3%)

Memory

-18.1MiB live, 34.2MiB allocated; 9ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms	b
5.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
53.1%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
53.0%	2	`(exp.f64 b)`
53.0%	2	`b`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes31.0ms (0.4%)

Memory

6.7MiB live, 51.8MiB allocated; 6ms collecting garbage

Counts

21 → 3

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

5 calls:

10.0ms	b
6.0ms	a
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
46.9%	1	`(exp.f64 a)`
46.9%	1	`a`
49.9%	2	`(exp.f64 b)`
52.2%	3	`b`
49.6%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes29.0ms (0.3%)

Memory

1.2MiB live, 46.7MiB allocated; 5ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (.f64 (-.f64 (.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))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) (*.f64 #s(literal 1/6 binary64) b)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) a) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))

Outputs

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

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

Calls

5 calls:

8.0ms	(exp.f64 b)
5.0ms	b
5.0ms	a
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
36.4%	1	`(exp.f64 a)`
36.4%	1	`a`
44.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
44.5%	2	`(exp.f64 b)`
44.5%	2	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory

-25.7MiB live, 21.3MiB allocated; 2ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) (+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 (+.f64 (.f64 #s(approx (+ (* 1/6 b) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 (-.f64 (/.f64 #s(approx (+ ( 1/4 a) 1/2) #s(literal 1/2 binary64)) b) #s(literal 1/4 binary64)) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 b (.f64 #s(literal 1/6 binary64) b))) b) #s(literal 1 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64)))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
36.4%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
36.4%	1	`b`
36.4%	1	`(exp.f64 b)`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes9.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Accuracy

Total -21.5b remaining (-52.5%)

Threshold costs -21.5b (-52.5%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(approx (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) b) #s(literal 1 binary64)))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
36.0%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
36.0%	1	`a`
36.0%	1	`(exp.f64 a)`
36.0%	1	`(exp.f64 b)`
36.0%	1	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch10.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-0.0005100756229376813	-0.0001195288450097507

Samples

5.0ms

96×

valid

Compiler

Compiled 287 to 215 computations (25.1% saved)

Precisions

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

ival-exp: 2.0ms (68.1% of total)

ival-div: 1.0ms (34.1% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Memory

-31.9MiB live, 23.2MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-61518.42749141991	-0.0005100756229376813

Samples

14.0ms

144×

valid

Compiler

Compiled 443 to 335 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 7.0ms (65.3% of total)

ival-exp: 3.0ms (28% of total)

ival-div: 1.0ms (9.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-61518.42749141991	-0.0005100756229376813

Samples

4.0ms

80×

valid

Compiler

Compiled 398 to 299 computations (24.9% saved)

Precisions

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

ival-exp: 1.0ms (42.4% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

-24.2MiB live, 22.1MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-0.0001195288450097507	-6.302614159807601e-10

Samples

7.0ms

144×

valid

Compiler

Compiled 254 to 218 computations (14.2% saved)

Precisions

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

ival-exp: 2.0ms (49.3% of total)

ival-div: 1.0ms (24.6% of total)

ival-add: 1.0ms (24.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999771362399	0.9999999998917989

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch16.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.850193495756197e-30	4.5795791412088994e-17

Samples

8.0ms

160×

valid

Compiler

Compiled 711 to 501 computations (29.5% saved)

Precisions

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

ival-exp: 3.0ms (67.7% of total)

ival-div: 1.0ms (22.6% of total)

ival-add: 1.0ms (22.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.49987248109703036

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch25.0ms (0.3%)

Memory

-7.9MiB live, 38.4MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.0765553218157853e+149	1.9144069275652976e+150
13.0ms	3.853203857133488e-6	0.02876773033295943

Samples

13.0ms

240×

valid

Compiler

Compiled 1 369 to 870 computations (36.4% saved)

Precisions

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

ival-exp: 5.0ms (63.3% of total)

ival-div: 1.0ms (12.7% of total)

ival-add: 1.0ms (12.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000038532112807	1.0291855181334946

Compiler

Compiled 11 to 11 computations (0% saved)

simplify55.0ms (0.7%)

Memory

3.7MiB live, 50.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	724
1	196	717
2	363	703
3	965	703
4	4318	703

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(if (<=.f64 a #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) (exp.f64 b))))
(if (<=.f64 a #s(literal -720 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) (exp.f64 b))))
(if (<=.f64 a #s(literal -1900 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))))
(if (<=.f64 a #s(literal -2176715800697727/18446744073709551616 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 b) #s(literal 9007199074597007/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.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 3219224052291593/10384593717069655257060992658440192 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)))))
(if (<=.f64 b #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))) (if (<=.f64 b #s(literal 1899999999999999945416664620240839458355832829457492348032179122109838706149734328138984507535872105574357646661645271318014321272641519163278368964608 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ ( (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (.f64 (/.f64 a b) #s(literal 1/4 binary64))) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))))
(if (<=.f64 (exp.f64 b) #s(literal 2296835809958953/2251799813685248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ ( (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a))))
(if (<=.f64 a #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) (exp.f64 b))))
(if (<=.f64 a #s(literal -720 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal -1/2 binary64)) a) #s(literal -1 binary64)) a) #s(literal -1 binary64))) (+.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) (exp.f64 b))))
(if (<=.f64 a #s(literal -1900 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) (/.f64 #s(approx (exp a) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a) #s(literal 1 binary64))) #s(approx (+ (exp a) (exp b)) (+.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) a)))))
(if (<=.f64 a #s(literal -2176715800697727/18446744073709551616 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 b) #s(literal 9007199074597007/9007199254740992 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (ratio-square-sum.f64 #s(literal 1 binary64) (exp.f64 b))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.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 3219224052291593/10384593717069655257060992658440192 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) b) #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 (.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 b b) #s(literal 1/6 binary64))) b) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a)))))
(if (<=.f64 b #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))) (if (<=.f64 b #s(literal 1899999999999999945416664620240839458355832829457492348032179122109838706149734328138984507535872105574357646661645271318014321272641519163278368964608 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ ( (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (.f64 (/.f64 a b) #s(literal 1/4 binary64))) b)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp b)) (+.f64 (.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b) #s(literal 2 binary64)))))))
(if (<=.f64 (exp.f64 b) #s(literal 2296835809958953/2251799813685248 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ ( (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) #s(approx (+ (+ (* -1/4 b) 1/2) (* 1/4 a)) (.f64 #s(approx (- (/ (+ ( 1/4 a) 1/2) b) 1/4) (*.f64 (/.f64 a b) #s(literal 1/4 binary64))) b)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (+ (* (neg b) (/ (exp a) (pow (- (exp a) -1) 2))) (/ (exp a) (- (exp a) -1))) (+.f64 #s(approx (+ (* -1/4 b) 1/2) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ (* 1 1) (+ 1 (exp b))) #s(literal 1/2 binary64)))

derivations423.0ms (5.1%)

Memory

36.3MiB live, 360.1MiB allocated; 28ms collecting garbage

Stop Event

1×

fuel

Samples

6.0ms	182×	0	valid
3.0ms	74×	0	invalid

Compiler

Compiled 726 to 152 computations (79.1% saved)

Precisions

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

ival-mult: 2.0ms (47% of total)

ival-div: 1.0ms (23.5% of total)

ival-add: 1.0ms (23.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess569.0ms (6.8%)

Memory

28.1MiB live, 708.7MiB allocated; 133ms collecting garbage

Samples

241.0ms	5 983×	0	valid
86.0ms	2 269×	0	invalid
0.0ms	4×	1	valid

Compiler

Compiled 1 468 to 316 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 64.0ms (41.1% of total)

ival-div: 46.0ms (29.5% of total)

ival-add: 36.0ms (23.1% of total)

ival-true: 5.0ms (3.2% of total)

ival-assert: 3.0ms (1.9% of total)

adjust: 2.0ms (1.3% of total)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze6.0ms (0.1%)

sample2.4s (28.4%)

explain92.0ms (1.1%)

preprocess163.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.1%)

rewrite222.0ms (2.7%)

eval40.0ms (0.5%)

prune92.0ms (1.1%)

series33.0ms (0.4%)

rewrite194.0ms (2.3%)

eval241.0ms (2.9%)

prune124.0ms (1.5%)

series19.0ms (0.2%)

rewrite213.0ms (2.6%)

eval1.4s (17.1%)

prune231.0ms (2.8%)

series43.0ms (0.5%)

rewrite195.0ms (2.3%)

eval688.0ms (8.3%)

prune336.0ms (4%)

regimes56.0ms (0.7%)

regimes51.0ms (0.6%)

regimes45.0ms (0.5%)

regimes28.0ms (0.3%)

regimes27.0ms (0.3%)

regimes35.0ms (0.4%)

regimes33.0ms (0.4%)

regimes38.0ms (0.5%)

regimes35.0ms (0.4%)

regimes23.0ms (0.3%)

regimes31.0ms (0.4%)

regimes29.0ms (0.3%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch21.0ms (0.3%)

bsearch9.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch0.0ms (0%)

bsearch25.0ms (0.3%)

bsearch0.0ms (0%)

simplify55.0ms (0.7%)

derivations423.0ms (5.1%)

preprocess569.0ms (6.8%)

end0.0ms (0%)

Profiling