Metrics for Quotient of sum of exps

start0.0ms (0%)

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

analyze6.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB 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)

sample1.1s (33.7%)

Memory

15.1MiB live, 2 001.9MiB allocated; 173ms collecting garbage

Samples

506.0ms	8 256×	0	valid
173.0ms	2 879×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-exp: 203.0ms (57.1% of total)

ival-div: 89.0ms (25% of total)

ival-add: 57.0ms (16% of total)

adjust: 3.0ms (0.8% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain140.0ms (4.3%)

Memory

-55.5MiB live, 96.6MiB allocated; 99ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	o/o	1	0
↳	`(exp.f64 a)`	overflow	1
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	64
↳	`(exp.f64 a)`	overflow	1
↳	`(exp.f64 b)`	overflow	63
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	u/u	1	0
↳	`(exp.f64 a)`	underflow	70
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	70
↳	`(exp.f64 b)`	underflow	52

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-exp: 8.0ms (56.9% of total)

ival-div: 3.0ms (21.3% of total)

ival-add: 3.0ms (21.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess166.0ms (5.1%)

Memory

19.6MiB live, 155.8MiB allocated; 20ms 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) (fma.f64 (exp.f64 b) #s(literal 1 binary64) (exp.f64 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

series7.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB 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)

rewrite194.0ms (5.9%)

Memory

-27.6MiB live, 257.7MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	730
0	158	693
1	1024	684
0	8044	638

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

eval8.0ms (0.2%)

Memory: 16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 654 to 276 computations (83.3% saved)

prune9.0ms (0.3%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	2	66

Accuracy

99.7%

Counts

66 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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)))))
▶	78.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))

Status

Accuracy

Program

▶

60.3%

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

▶

78.5%

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

Compiler

Compiled 77 to 34 computations (55.8% saved)

series41.0ms (1.2%)

Memory

-7.6MiB live, 85.2MiB allocated; 7ms collecting garbage

Counts

23 → 98

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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)))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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))))
(-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) b)
(fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (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))
(exp.f64 a)
a
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 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 (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* -1/16 (pow b 2))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (* 1/16 (* a b)))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (* a (+ (* 1/16 b) (* a (- (* 1/48 (pow b 2)) 1/48)))))))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 -1/4))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (- (* -1/16 (* a b)) 1/4)))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (- (* a (+ (* -1/16 b) (* 1/16 a))) 1/4)))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (- (* a (+ (* -1/16 b) (* a (+ 1/16 (* 1/48 (* a b)))))) 1/4)))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* a (+ (* -1/16 b) (* 1/48 (* (pow a 2) b))))))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* a (+ (* -1/16 b) (* (pow a 2) (+ (* -17/3840 (* (pow a 2) b)) (* 1/48 b)))))))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* a (+ (* -1/16 b) (* (pow a 2) (+ (* 1/48 b) (* (pow a 2) (+ (* -17/3840 b) (* 31/40320 (* (pow a 2) b))))))))))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (* 1/16 a)))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (* a (+ 1/16 (* -1/48 (pow a 2))))))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (* a (+ 1/16 (* (pow a 2) (- (* 17/3840 (pow a 2)) 1/48))))))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (* a (+ 1/16 (* (pow a 2) (- (* (pow a 2) (+ 17/3840 (* -31/40320 (pow a 2)))) 1/48))))))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 -1/4))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 (- (* 1/4 a) 1/4)))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 (- (* a (+ 1/4 (* -1/16 a))) 1/4)))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 (- (* a (+ 1/4 (* a (- (* -1/48 a) 1/16)))) 1/4)))
#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) #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 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 (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 1/8))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/8 (* -1/32 (pow a 2)))))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/8 (* (pow a 2) (- (* 1/192 (pow a 2)) 1/32)))))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/8 (* (pow a 2) (- (* (pow a 2) (+ 1/192 (* -17/23040 (pow a 2)))) 1/32)))))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 1/4))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 (+ 1/4 (* -1/8 a))))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 (+ 1/4 (* a (- (* 1/96 (pow a 2)) 1/8)))))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 (+ 1/4 (* a (- (* (pow a 2) (+ 1/96 (* -1/960 (pow a 2)))) 1/8)))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #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 (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (- (* -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)))))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 (/ -1 (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) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 (/ 1/2 (+ 1 (exp a)))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (/ (exp a) (pow (+ 1 (exp a)) 2))))
#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 (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#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 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (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 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* b (+ (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2)))))
#s(approx (* -1 b) #s(hole binary64 (* -1 b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* (pow b 2) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 2) (+ (* -1 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (* -1 (/ (exp a) (* b (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (/ (exp a) (* (pow b 2) (+ 1 (exp a))))) (/ (exp a) (* b (pow (+ 1 (exp a)) 2)))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* b (+ (* -1 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (* -1 (/ (exp a) (* b (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 2) (+ (* -1 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (* -1 (/ (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))) b))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (pow (+ 1 (exp a)) 2)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (/ -1 (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) (exp a) a 2 (/ (exp a) (- (exp a) -1)) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) (/ 1/2 (- (exp a) -1)) 1/2 (/ (exp a) (pow (- (exp a) -1) 2)))
8.0ms	a	@	0	((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (/ -1 (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) (exp a) a 2 (/ (exp a) (- (exp a) -1)) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) (/ 1/2 (- (exp a) -1)) 1/2 (/ (exp a) (pow (- (exp a) -1) 2)))
7.0ms	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (/ -1 (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) (exp a) a 2 (/ (exp a) (- (exp a) -1)) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) (/ 1/2 (- (exp a) -1)) 1/2 (/ (exp a) (pow (- (exp a) -1) 2)))
6.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (/ -1 (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) (exp a) a 2 (/ (exp a) (- (exp a) -1)) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) (/ 1/2 (- (exp a) -1)) 1/2 (/ (exp a) (pow (- (exp a) -1) 2)))
4.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (pow (- (exp b) -1) -1) (- (exp b) -1) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (/ -1 (pow (- (exp a) -1) 2)) (pow (- (exp a) -1) 2) (- (exp a) -1) (exp a) a 2 (/ (exp a) (- (exp a) -1)) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) (/ 1/2 (- (exp a) -1)) 1/2 (/ (exp a) (pow (- (exp a) -1) 2)))

rewrite213.0ms (6.5%)

Memory

6.1MiB live, 247.0MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	3729
0	494	3359
1	2783	3257
0	8050	3082

Stop Event

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

Counts

121 → 245

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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)))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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))))
(-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) b)
(fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (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))
(exp.f64 a)
a
#s(literal 2 binary64)
(/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 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 (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (* -1/16 (pow b 2))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (* 1/16 (* a b)))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/2 (+ (* -1/4 b) (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (* a (+ (* 1/16 b) (* a (- (* 1/48 (pow b 2)) 1/48)))))))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 -1/4))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (- (* -1/16 (* a b)) 1/4)))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (- (* a (+ (* -1/16 b) (* 1/16 a))) 1/4)))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (- (* a (+ (* -1/16 b) (* a (+ 1/16 (* 1/48 (* a b)))))) 1/4)))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* -1/16 (* a b))))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* a (+ (* -1/16 b) (* 1/48 (* (pow a 2) b))))))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* a (+ (* -1/16 b) (* (pow a 2) (+ (* -17/3840 (* (pow a 2) b)) (* 1/48 b)))))))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* a (+ (* -1/16 b) (* (pow a 2) (+ (* 1/48 b) (* (pow a 2) (+ (* -17/3840 b) (* 31/40320 (* (pow a 2) b))))))))))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (* 1/16 a)))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (* a (+ 1/16 (* -1/48 (pow a 2))))))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (* a (+ 1/16 (* (pow a 2) (- (* 17/3840 (pow a 2)) 1/48))))))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (* a (+ 1/16 (* (pow a 2) (- (* (pow a 2) (+ 17/3840 (* -31/40320 (pow a 2)))) 1/48))))))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 -1/4))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 (- (* 1/4 a) 1/4)))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 (- (* a (+ 1/4 (* -1/16 a))) 1/4)))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 (- (* a (+ 1/4 (* a (- (* -1/48 a) 1/16)))) 1/4)))
#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) #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 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 (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 1/8))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/8 (* -1/32 (pow a 2)))))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/8 (* (pow a 2) (- (* 1/192 (pow a 2)) 1/32)))))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ 1/8 (* (pow a 2) (- (* (pow a 2) (+ 1/192 (* -17/23040 (pow a 2)))) 1/32)))))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 1/4))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 (+ 1/4 (* -1/8 a))))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 (+ 1/4 (* a (- (* 1/96 (pow a 2)) 1/8)))))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 (+ 1/4 (* a (- (* (pow a 2) (+ 1/96 (* -1/960 (pow a 2)))) 1/8)))))
#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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (exp a) (exp b)))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #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 (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (- (* -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)))))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) #s(hole binary64 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(hole binary64 (/ -1 (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) #s(hole binary64 (exp a)))
#s(approx (/ (exp a) (- (exp a) -1)) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))
#s(approx (/ 1/2 (- (exp a) -1)) #s(hole binary64 (/ 1/2 (+ 1 (exp a)))))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(hole binary64 (/ (exp a) (pow (+ 1 (exp a)) 2))))
#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 (pow (- (exp b) -1) -1) #s(hole binary64 1/2))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#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 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (/ (exp a) (+ 1 (exp a)))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (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 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (+ (* b (+ (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (/ (exp a) (+ 1 (exp a))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2)))))
#s(approx (* -1 b) #s(hole binary64 (* -1 b)))
#s(approx (pow (- (exp b) -1) -1) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* -1 (* (pow b 2) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 2) (+ (* -1 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (* -1 (/ (exp a) (* b (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (/ (exp a) (* (pow b 2) (+ 1 (exp a))))) (/ (exp a) (* b (pow (+ 1 (exp a)) 2)))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* b (+ (* -1 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (* -1 (/ (exp a) (* b (pow (+ 1 (exp a)) 2))))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) #s(hole binary64 (* (pow b 2) (+ (* -1 (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))))) (* -1 (/ (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2))) b))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (+ (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (pow (+ 1 (exp a)) 2)))))))))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.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 (fma.f64 (exp.f64 b) (exp.f64 b) (+.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)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 b) (exp.f64 b) (+.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)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 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)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b) (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 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))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 b b) b) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b)) (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b)) (-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 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))))))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b) (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 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)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 b b) b) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b)) (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) b)) (-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 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)))))))
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(exp.f64 a)
(+.f64 (cosh.f64 a) (sinh.f64 a))
a
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#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (.f64 #s(literal 3/2 binary64) (pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (+.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)) (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))))) a (pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (.f64 #s(literal 3/2 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1 binary64)))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal -1 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) a (.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (.f64 b a) #s(literal 1/16 binary64) (.f64 (.f64 b b) #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) a (.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 b b)) #s(literal 1/48 binary64)) a (.f64 #s(literal 1/16 binary64) b)) a (.f64 (.f64 b b) #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) a (.f64 #s(literal -1/4 binary64) b)) #s(literal 1/2 binary64)))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) #s(literal -1/4 binary64))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (-.f64 (.f64 (.f64 b a) #s(literal -1/16 binary64)) #s(literal 1/4 binary64)))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (-.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) a (.f64 #s(literal -1/16 binary64) b)) a) #s(literal 1/4 binary64)))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b a) #s(literal 1/16 binary64)) a (*.f64 #s(literal -1/16 binary64) b)) a) #s(literal 1/4 binary64)))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (.f64 (.f64 b a) #s(literal -1/16 binary64)))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (.f64 (fma.f64 (.f64 (.f64 a a) b) #s(literal 1/48 binary64) (.f64 #s(literal -1/16 binary64) b)) a))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (.f64 (fma.f64 (fma.f64 #s(literal -17/3840 binary64) (.f64 (.f64 a a) b) (.f64 #s(literal 1/48 binary64) b)) (.f64 a a) (.f64 #s(literal -1/16 binary64) b)) a))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/40320 binary64) (.f64 (.f64 a a) b) (.f64 #s(literal -17/3840 binary64) b)) (.f64 a a) (.f64 #s(literal 1/48 binary64) b)) (.f64 a a) (.f64 #s(literal -1/16 binary64) b)) a))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (*.f64 #s(literal 1/16 binary64) a))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 a a) #s(literal 1/16 binary64)) a))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 17/3840 binary64) (.f64 a a)) #s(literal 1/48 binary64)) (.f64 a a) #s(literal 1/16 binary64)) a))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/40320 binary64) (.f64 a a) #s(literal 17/3840 binary64)) (.f64 a a)) #s(literal 1/48 binary64)) (*.f64 a a) #s(literal 1/16 binary64)) a))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) #s(literal -1/4 binary64))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) (-.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 1/4 binary64)))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) a #s(literal 1/4 binary64)) a) #s(literal 1/4 binary64)))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/48 binary64) a) #s(literal 1/16 binary64)) a #s(literal 1/4 binary64)) a) #s(literal 1/4 binary64)))
#s(approx (pow (- (exp a) -1) 2) #s(literal 4 binary64))
#s(approx (pow (- (exp a) -1) 2) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
#s(approx (pow (- (exp a) -1) 2) (fma.f64 (fma.f64 #s(literal 3 binary64) a #s(literal 4 binary64)) a #s(literal 4 binary64)))
#s(approx (pow (- (exp a) -1) 2) (fma.f64 (fma.f64 (fma.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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (- (exp a) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (/ (exp a) (- (exp a) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (- (exp a) -1)) (fma.f64 (fma.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)) (fma.f64 (fma.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 (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) #s(literal 1/8 binary64))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) (fma.f64 #s(literal -1/32 binary64) (*.f64 a a) #s(literal 1/8 binary64)))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) (fma.f64 (-.f64 (.f64 #s(literal 1/192 binary64) (.f64 a a)) #s(literal 1/32 binary64)) (*.f64 a a) #s(literal 1/8 binary64)))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/23040 binary64) (.f64 a a) #s(literal 1/192 binary64)) (.f64 a a)) #s(literal 1/32 binary64)) (.f64 a a) #s(literal 1/8 binary64)))
#s(approx (/ 1/2 (- (exp a) -1)) #s(literal 1/4 binary64))
#s(approx (/ 1/2 (- (exp a) -1)) (fma.f64 #s(literal -1/8 binary64) a #s(literal 1/4 binary64)))
#s(approx (/ 1/2 (- (exp a) -1)) (fma.f64 (-.f64 (.f64 #s(literal 1/96 binary64) (.f64 a a)) #s(literal 1/8 binary64)) a #s(literal 1/4 binary64)))
#s(approx (/ 1/2 (- (exp a) -1)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/960 binary64) (.f64 a a) #s(literal 1/96 binary64)) (*.f64 a a)) #s(literal 1/8 binary64)) a #s(literal 1/4 binary64)))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) #s(literal 1/4 binary64))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) (fma.f64 (*.f64 a a) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (/ (exp a) (pow (- (exp a) -1) 2)) (fma.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)) (fma.f64 (-.f64 (.f64 (fma.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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (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 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
#s(approx (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1)))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
#s(approx (/ -1 (pow (- (exp a) -1) 2)) (/.f64 #s(literal -1 binary64) (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.f64 a))
#s(approx (/ (exp a) (- (exp a) -1)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
#s(approx (/ 1/2 (- (exp a) -1)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#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 (/ (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 (fma.f64 (.f64 #s(literal -1 binary64) (.f64 b (exp.f64 a))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (exp.f64 a)))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (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))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b) (/.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 (pow (- (exp b) -1) -1) #s(literal 1/2 binary64))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (- (exp b) -1) #s(literal 2 binary64))
#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (.f64 b (exp.f64 a))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (exp.f64 a)))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) b (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (* -1 b) (*.f64 #s(literal -1 binary64) b))
#s(approx (pow (- (exp b) -1) -1) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
#s(approx (exp b) (exp.f64 b))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (.f64 (.f64 #s(literal -1 binary64) (.f64 b b)) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 b b) (.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 b b))))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (exp.f64 a) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b b)))) (/.f64 (/.f64 (exp.f64 a) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b b)))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (.f64 (.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b))
#s(approx (+ (* (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) b) (/ (exp a) (- (exp a) -1))) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (exp.f64 a) (+.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))) (.f64 b b)))
#s(approx (- (* (* -1 b) (+ (* (/ -1 (pow (- (exp a) -1) 2)) (/ (exp a) (- (exp a) -1))) (* (/ 1/2 (- (exp a) -1)) (/ (exp a) (- (exp a) -1))))) (/ (exp a) (pow (- (exp a) -1) 2))) (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (+.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))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 a) (/.f64 (exp.f64 a) b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))

eval82.0ms (2.5%)

Memory: -8.8MiB live, 170.8MiB allocated; 27ms collecting garbage
Compiler: Compiled 31 256 to 2 345 computations (92.5% saved)

prune142.0ms (4.3%)

Memory

66.2MiB live, 126.9MiB allocated; 66ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	453	1	454
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	454	2	456

Accuracy

99.7%

Counts

456 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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)))))
▶	78.0%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Status

Accuracy

Program

✓

60.3%

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

▶

78.0%

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

Compiler

Compiled 79 to 37 computations (53.2% saved)

series8.0ms (0.2%)

Memory

-37.3MiB live, 9.3MiB allocated; 5ms collecting garbage

Counts

9 → 30

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (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 (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#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 (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 2)
1.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 2)
1.0ms	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 2)
0.0ms	a	@	0	((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 2)
0.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (pow (pow (- (exp b) -1) -1/2) 2) (pow (- (exp b) -1) -1/2) (- (exp b) -1) (exp b) b -1 -1/2 2)

rewrite176.0ms (5.4%)

Memory

25.0MiB live, 163.7MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	824
0	194	756
1	1156	742
0	8139	700

Stop Event

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

Counts

39 → 95

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (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 (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 1/2))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#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 (pow (pow (- (exp b) -1) -1/2) 2) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (pow (- (exp b) -1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))
#s(approx (exp b) #s(hole binary64 (exp b)))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64) (log.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (exp.f64 b) #s(literal 1 binary64)) (fma.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 b)) (-.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 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (expm1.f64 b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.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)) (expm1.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 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))
(/.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 (/.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))))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) #s(literal -1 binary64))))))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 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 (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 (.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(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 3/2 binary64) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))))) a (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (.f64 #s(literal 3/2 binary64) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 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 a) (exp b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (.f64 b (exp.f64 a))) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 (exp.f64 a)))) (.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (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 (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))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (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 (exp.f64 a) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) (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))))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (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)))))) 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 (pow (pow (- (exp b) -1) -1/2) 2) #s(literal 1/2 binary64))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) b #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 b (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/64 binary64) (/.f64 b (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/32 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 b (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64)))) b (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (pow (- (exp b) -1) -1/2) (fma.f64 (fma.f64 (fma.f64 (.f64 b (/.f64 #s(literal 5/384 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) b (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) b (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
#s(approx (exp b) #s(literal 1 binary64))
#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
#s(approx b b)
#s(approx (pow (pow (- (exp b) -1) -1/2) 2) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (pow (- (exp b) -1) -1/2) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
#s(approx (- (exp b) -1) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
#s(approx (exp b) (exp.f64 b))

eval13.0ms (0.4%)

Memory: 22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 574 to 475 computations (81.5% saved)

prune11.0ms (0.3%)

Memory

-32.4MiB live, 14.3MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	93	3	96

Accuracy

99.7%

Counts

96 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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)))))
▶	77.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
▶	78.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))

Status

Accuracy

Program

✓

60.3%

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

▶

77.7%

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

▶

78.5%

#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))

Compiler

Compiled 109 to 53 computations (51.4% saved)

series409.0ms (12.5%)

Memory

12.8MiB live, 539.3MiB allocated; 112ms collecting garbage

Counts

17 → 60

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
#s(literal 2 binary64)
#s(literal -1/4 binary64)
#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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (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 (* (log (+ 1 (exp b))) -1)) #s(hole binary64 1/2))
#s(approx (exp (* (log (+ 1 (exp b))) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (exp (* (log (+ 1 (exp b))) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (exp (* (log (+ 1 (exp b))) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* -1/2 b))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* b (- (* -1/8 b) 1/2)))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#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 (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 1/2))
#s(approx (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (pow 1/2 1/4)))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (+ (* -1/8 (* (pow 1/2 1/4) b)) (pow 1/2 1/4))))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (+ (* b (+ (* -1/8 (pow 1/2 1/4)) (* -3/128 (* (pow 1/2 1/4) b)))) (pow 1/2 1/4))))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (+ (* b (+ (* -1/8 (pow 1/2 1/4)) (* b (+ (* -3/128 (pow 1/2 1/4)) (* 11/3072 (* (pow 1/2 1/4) b)))))) (pow 1/2 1/4))))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 4))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* 4 b))))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* b (+ 4 (* 3 b))))))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 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 (* (log (+ 1 (exp b))) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (* -1 (log (+ 1 (exp b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (pow (/ 1 (+ 1 (exp b))) 1/4)))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (pow (+ 1 (exp b)) 2)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))

Calls

6 calls:

Time	Variable		Point	Expression
90.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp (* (log (+ 1 (exp b))) -1)) (* (log (+ 1 (exp b))) -1) (log (+ 1 (exp b))) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (- (exp b) -1) 2) -1/4) (pow (- (exp b) -1) 2) (- (exp b) -1) 2 -1/4 1/2)
82.0ms	a	@	0	((/ (exp a) (+ (exp a) (exp b))) (exp (* (log (+ 1 (exp b))) -1)) (* (log (+ 1 (exp b))) -1) (log (+ 1 (exp b))) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (- (exp b) -1) 2) -1/4) (pow (- (exp b) -1) 2) (- (exp b) -1) 2 -1/4 1/2)
79.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp (* (log (+ 1 (exp b))) -1)) (* (log (+ 1 (exp b))) -1) (log (+ 1 (exp b))) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (- (exp b) -1) 2) -1/4) (pow (- (exp b) -1) 2) (- (exp b) -1) 2 -1/4 1/2)
75.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp (* (log (+ 1 (exp b))) -1)) (* (log (+ 1 (exp b))) -1) (log (+ 1 (exp b))) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (- (exp b) -1) 2) -1/4) (pow (- (exp b) -1) 2) (- (exp b) -1) 2 -1/4 1/2)
42.0ms	b	@	0	((/ (exp a) (+ (exp a) (exp b))) (exp (* (log (+ 1 (exp b))) -1)) (* (log (+ 1 (exp b))) -1) (log (+ 1 (exp b))) (exp b) b -1 (/ (exp a) (+ (exp a) (exp b))) (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (- (exp b) -1) 2) -1/4) (pow (- (exp b) -1) 2) (- (exp b) -1) 2 -1/4 1/2)

rewrite193.0ms (5.9%)

Memory

25.9MiB live, 208.3MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1597
0	309	1266
1	1727	1228
0	9403	1158

Stop Event

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

Counts

77 → 202

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b
#s(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 b) #s(literal -1 binary64))
#s(literal 2 binary64)
#s(literal -1/4 binary64)
#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 (/ (exp a) (+ (exp a) (exp b))) #s(hole binary64 (/ (exp a) (+ (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 (* (log (+ 1 (exp b))) -1)) #s(hole binary64 1/2))
#s(approx (exp (* (log (+ 1 (exp b))) -1)) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (exp (* (log (+ 1 (exp b))) -1)) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (exp (* (log (+ 1 (exp b))) -1)) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (* -1 (log 2))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* -1/2 b))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* b (- (* -1/8 b) 1/2)))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (+ (* -1 (log 2)) (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2)))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))))
#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 (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 1/2))
#s(approx (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 (+ 1/2 (* -1/4 b))))
#s(approx (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))))
#s(approx (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (pow 1/2 1/4)))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (+ (* -1/8 (* (pow 1/2 1/4) b)) (pow 1/2 1/4))))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (+ (* b (+ (* -1/8 (pow 1/2 1/4)) (* -3/128 (* (pow 1/2 1/4) b)))) (pow 1/2 1/4))))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (+ (* b (+ (* -1/8 (pow 1/2 1/4)) (* b (+ (* -3/128 (pow 1/2 1/4)) (* 11/3072 (* (pow 1/2 1/4) b)))))) (pow 1/2 1/4))))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (sqrt 1/2)))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 4))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* 4 b))))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* b (+ 4 (* 3 b))))))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 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 (* (log (+ 1 (exp b))) -1)) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (* (log (+ 1 (exp b))) -1) #s(hole binary64 (* -1 (log (+ 1 (exp b))))))
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b)))))
#s(approx (exp b) #s(hole binary64 (exp b)))
#s(approx (pow (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) 2) #s(hole binary64 (/ 1 (+ 1 (exp b)))))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) #s(hole binary64 (pow (/ 1 (+ 1 (exp b))) 1/4)))
#s(approx (pow (pow (- (exp b) -1) 2) -1/4) #s(hole binary64 (sqrt (/ 1 (+ 1 (exp b))))))
#s(approx (pow (- (exp b) -1) 2) #s(hole binary64 (pow (+ 1 (exp b)) 2)))
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b))))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 b)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (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))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(-.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (sinh.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))))
(+.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 b)))
(neg.f64 (log1p.f64 (exp.f64 b)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(log1p.f64 (exp.f64 b))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 b)))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.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(literal -1 binary64)
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (log.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)))))
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(*.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64))
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(-.f64 (exp.f64 b) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(literal 2 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
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#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (fma.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) b) #s(literal -1/8 binary64) (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (fma.f64 (fma.f64 #s(literal -3/128 binary64) (.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) b) (.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) b (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
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#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) (fma.f64 (/.f64 b (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal -1/8 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) (fma.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/64 binary64) (/.f64 b (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 1/32 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 b (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (.f64 (pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64)))) b (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
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#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2) (pow (pow (pow (- (exp b) -1) 2) -1/4) 1/2)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (pow (- (exp b) -1) 2) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b)))

eval42.0ms (1.3%)

Memory: -45.6MiB live, 54.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 9 063 to 1 142 computations (87.4% saved)

prune28.0ms (0.8%)

Memory

42.3MiB live, 42.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	257	3	260

Accuracy

99.7%

Counts

260 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

60.3%

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

✓

77.7%

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

✓

78.5%

#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))

Compiler

Compiled 258 to 97 computations (62.4% saved)

regimes12.0ms (0.4%)

Memory

-30.6MiB live, 16.4MiB allocated; 4ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	a
2.0ms	b
2.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 b)
2.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.6%	3	`(exp.f64 b)`
99.3%	2	`(exp.f64 a)`
80.6%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.7%	2	`a`
99.6%	3	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.5b remaining (-3.5%)

Threshold costs -0.5b (-3.5%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (pow.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Outputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
78.5%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
78.5%	1	`(exp.f64 b)`
78.5%	1	`b`
78.5%	1	`(exp.f64 a)`
78.5%	1	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch12.0ms (0.4%)

Memory

-35.1MiB live, 12.0MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-19126.555883964866	-4419.412580482307

Samples

5.0ms

96×

valid

Compiler

Compiled 473 to 233 computations (50.7% saved)

Precisions

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

ival-exp: 2.0ms (68.2% 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)

simplify59.0ms (1.8%)

Memory

30.4MiB live, 70.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	103
1	47	103
2	88	103
3	188	103
4	738	103
5	7875	103

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 a #s(literal -4500 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))

Outputs

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

(if (<=.f64 a #s(literal -4500 binary64)) #s(approx (/ (exp a) (+ (exp a) (exp b))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) b) (fma.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal 1/2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) #s(literal -1 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))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))))

#s(approx (/ (exp a) (+ (exp a) (exp b))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))

derivations158.0ms (4.8%)

Memory

-8.5MiB live, 116.3MiB allocated; 93ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 104 to 33 computations (68.3% saved)

preprocess28.0ms (0.8%)

Memory: 41.5MiB live, 41.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 224 to 78 computations (65.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0.2%)

sample1.1s (33.7%)

explain140.0ms (4.3%)

preprocess166.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.2%)

rewrite194.0ms (5.9%)

eval8.0ms (0.2%)

prune9.0ms (0.3%)

series41.0ms (1.2%)

rewrite213.0ms (6.5%)

eval82.0ms (2.5%)

prune142.0ms (4.3%)

series8.0ms (0.2%)

rewrite176.0ms (5.4%)

eval13.0ms (0.4%)

prune11.0ms (0.3%)

series409.0ms (12.5%)

rewrite193.0ms (5.9%)

eval42.0ms (1.3%)

prune28.0ms (0.8%)

regimes12.0ms (0.4%)

regimes9.0ms (0.3%)

regimes8.0ms (0.2%)

bsearch12.0ms (0.4%)

simplify59.0ms (1.8%)

derivations158.0ms (4.8%)

preprocess28.0ms (0.8%)

end0.0ms (0%)

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