Metrics for Quotient of sum of exps

start0.0ms (0%)

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

analyze6.0ms (0.1%)

Memory

-33.3MiB live, 14.7MiB allocated; 2ms 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)

sample1.3s (19.5%)

Memory

12.1MiB live, 3 208.3MiB allocated; 282ms collecting garbage

Samples

603.0ms	8 256×	0	valid
189.0ms	3 115×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 425.0ms

ival-exp: 228.0ms (53.6% of total)

ival-add: 91.0ms (21.4% of total)

ival-div: 90.0ms (21.2% of total)

ival-true: 8.0ms (1.9% of total)

ival-assert: 4.0ms (0.9% of total)

adjust: 3.0ms (0.7% of total)

Bogosity

explain80.0ms (1.2%)

Memory

16.3MiB live, 252.3MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.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)))`	u/u	1	0
↳	`(exp.f64 a)`	underflow	69
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	69
↳	`(exp.f64 b)`	underflow	60

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

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 (56.6% of total)

ival-div: 3.0ms (21.2% of total)

ival-add: 3.0ms (21.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess155.0ms (2.4%)

Memory

0.6MiB live, 329.5MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	44	48
2	142	48
3	555	43
4	3208	43
0	6	8
0	10	8
1	17	8
2	43	8
3	119	8
4	582	8
5	5983	8
0	8050	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify159.0ms (2.5%)

Memory

34.2MiB live, 422.4MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	17	19
2	43	19
3	119	19
4	582	19
5	5983	19
0	8050	19

Stop Event

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

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

-9.8MiB live, 84.9MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.2578152510508252	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

16.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 5.0ms (53.3% of total)

ival-div: 3.0ms (32% of total)

ival-add: 1.0ms (10.7% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-26.2MiB live, 25.4MiB allocated; 3ms collecting garbage

Counts

4 → 27

Calls

Call 1

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

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

Calls

6 calls:

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

simplify233.0ms (3.6%)

Memory

38.8MiB live, 222.3MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	516
1	363	504
2	1444	475
3	7072	467
0	8538	434

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite226.0ms (3.5%)

Memory

-22.3MiB live, 173.4MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	33	17
2	244	17
3	3096	17
0	9585	17

Stop Event

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

Counts

4 → 368

Calls

Call 1

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

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

eval74.0ms (1.1%)

Memory: -10.2MiB live, 78.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 12 149 to 1 586 computations (86.9% saved)

prune10.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	457	6	463
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	458	6	464

Accuracy

100.0%

Counts

464 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
▶	71.9%	(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
▶	65.7%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
▶	68.6%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
	66.1%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
▶	80.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))

Compiler

Compiled 176 to 128 computations (27.3% saved)

simplify195.0ms (3%)

Memory

-17.5MiB live, 123.2MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 a)
cost-diff	0	(sinh.f64 a)
cost-diff	0	(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff	3	(+.f64 (sinh.f64 a) (cosh.f64 a))
cost-diff	0	#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
cost-diff	0	(-.f64 (exp.f64 a) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
cost-diff	0	(exp.f64 b)
cost-diff	0	(-.f64 (exp.f64 b) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
cost-diff	0	(neg.f64 a)
cost-diff	0	(exp.f64 (neg.f64 a))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff	3	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	160
0	48	164
1	74	148
2	181	148
3	837	148
0	8671	148

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.5%)

Memory

19.2MiB live, 113.2MiB allocated; 4ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cosh.f64 a)
accuracy	0.0078125	(sinh.f64 a)
accuracy	0.015625	(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
accuracy	0.7260267541561134	(+.f64 (sinh.f64 a) (cosh.f64 a))
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))
accuracy	0.015625	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
accuracy	21.735155749632806	#s(approx (exp b) (-.f64 b #s(literal -1 binary64)))
accuracy	0.0	(exp.f64 a)
accuracy	0.01171875	(-.f64 (exp.f64 a) #s(literal -1 binary64))
accuracy	0.015625	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
accuracy	19.883844831889572	#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))
accuracy	0.0	(-.f64 (exp.f64 b) #s(literal -1 binary64))
accuracy	0.0	(exp.f64 b)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))
accuracy	1.138735892532416	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
accuracy	0.015625	(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

47.0ms	184×	0	valid
24.0ms	67×	0	exit
10.0ms	2×	5	exit
1.0ms	3×	1	valid

Compiler

Compiled 133 to 22 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-exp: 25.0ms (37.3% of total)

ival-div: 21.0ms (31.3% of total)

ival-cosh: 6.0ms (8.9% of total)

ival-sinh: 6.0ms (8.9% of total)

ival-sub: 3.0ms (4.5% of total)

ival-add: 2.0ms (3% of total)

adjust: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

exact: 0.0ms (0% of total)

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

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

series58.0ms (0.9%)

Memory

-5.6MiB live, 51.4MiB allocated; 4ms collecting garbage

Counts

20 → 69

Calls

Call 1

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

Outputs
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(* -1 a)
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
a
(* a (+ 1 (* 1/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))
(* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))
(/ 1 (exp (neg a)))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(exp (neg a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))
(/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ (exp a) (exp b)))
(* 1/2 (- (exp a) (/ 1 (exp a))))
(* 1/2 (+ (exp a) (/ 1 (exp a))))
(/ 1 (exp (* -1 a)))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(exp (* -1 a))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ 1 (exp a)))
(+ (* -1 (* b (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
(+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
(+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/6 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
(exp b)

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	a	@	-inf	((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (sinh a) (cosh a)) (/ (+ (sinh a) (cosh a)) (+ (exp a) (exp b))) (sinh a) (cosh a) (+ (exp a) (exp b)))
5.0ms	a	@	inf	((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (sinh a) (cosh a)) (/ (+ (sinh a) (cosh a)) (+ (exp a) (exp b))) (sinh a) (cosh a) (+ (exp a) (exp b)))
4.0ms	b	@	inf	((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (sinh a) (cosh a)) (/ (+ (sinh a) (cosh a)) (+ (exp a) (exp b))) (sinh a) (cosh a) (+ (exp a) (exp b)))
3.0ms	a	@	0	((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (sinh a) (cosh a)) (/ (+ (sinh a) (cosh a)) (+ (exp a) (exp b))) (sinh a) (cosh a) (+ (exp a) (exp b)))
3.0ms	b	@	0	((/ 1 (exp (neg a))) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (exp (neg a)) (neg a) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (exp b) (/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (sinh a) (cosh a)) (/ (+ (sinh a) (cosh a)) (+ (exp a) (exp b))) (sinh a) (cosh a) (+ (exp a) (exp b)))

simplify248.0ms (3.8%)

Memory

7.3MiB live, 196.0MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	1603
1	962	1502
2	4076	1459
0	8876	1371

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 68

Calls

Call 1

Inputs
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (* -1 a))
(+ 1 (* a (- (* 1/2 a) 1)))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))
(* -1 a)
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
a
(* a (+ 1 (* 1/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))
(* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))
(+ 1 (* 1/2 (pow a 2)))
(+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))
(/ 1 (exp (neg a)))
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(exp (neg a))
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))
(/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ (exp a) (exp b)))
(* 1/2 (- (exp a) (/ 1 (exp a))))
(* 1/2 (+ (exp a) (/ 1 (exp a))))
(/ 1 (exp (* -1 a)))
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(exp (* -1 a))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ 1 (exp a)))
(+ (* -1 (* b (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
(+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
(+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/6 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
(exp b)

Outputs
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* a (- (* 1/6 (/ 1 (+ 1 (exp b)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (+ 1 (exp b))) (/ (* (- (* 1/2 (+ 1 (exp b))) 1/2) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))))) (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ (* (+ 1 (* -1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 b))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ 1 (* -1 a))
(-.f64 #s(literal 1 binary64) a)
(+ 1 (* a (- (* 1/2 a) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (- (* a (+ 1/2 (* -1/6 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 1 binary64))
(* -1 a)
(neg.f64 a)
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))) a (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
a
(* a (+ 1 (* 1/6 (pow a 2))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) a)
(* a (+ 1 (* (pow a 2) (+ 1/6 (* 1/120 (pow a 2))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64)) a)
(* a (+ 1 (* (pow a 2) (+ 1/6 (* (pow a 2) (+ 1/120 (* 1/5040 (pow a 2))))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64)) (.f64 a a) #s(literal 1/6 binary64)) a)
(+ 1 (* 1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (+ 1/2 (* 1/24 (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal 1/2 binary64)) (.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (+ 1/2 (* (pow a 2) (+ 1/24 (* 1/720 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 a a) #s(literal 1/24 binary64)) (.f64 a a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ 1 (exp (neg a)))
(exp.f64 a)
(/ 1 (* (exp (neg a)) (+ (exp a) (exp b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (neg a))
(exp.f64 (neg.f64 a))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a)))))
(*.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ (exp a) (exp b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (+.f64 (exp.f64 b) (exp.f64 a))))
(* 1/2 (- (exp a) (/ 1 (exp a))))
(*.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp a) (/ 1 (exp a))))
(*.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)) #s(literal 1/2 binary64))
(/ 1 (exp (* -1 a)))
(exp.f64 a)
(/ 1 (* (exp (* -1 a)) (+ (exp a) (exp b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp (* -1 a))
(exp.f64 (neg.f64 a))
(/ 1 (* (exp (neg a)) (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(+ (* -1 (/ b (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) (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 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3))) (+ (* 1/6 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 4)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 3)))) (* 1/2 (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2)))))) (/ 1 (* (exp (neg a)) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (exp (neg a)) (+ 1 (exp a)))))
(fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) (.f64 #s(literal -1/6 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 4 binary64)))) b (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) (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 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) (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 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 b) (fma.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (exp.f64 a) (/.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (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 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 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 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (+ 1 (exp a)))
(/.f64 (*.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (* b (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a))))))
(fma.f64 (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* -1 (* b (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
(fma.f64 (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) b (*.f64 (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) b))
(+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (+ (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (+ 1 (exp a)))) (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/6 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (* 1/2 (/ (+ (* 1/2 (+ (exp a) (/ 1 (exp a)))) (* 1/2 (- (exp a) (/ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))))) (+ (* 1/2 (/ (+ (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))) (* 1/2 (/ (- (exp a) (/ 1 (exp a))) (pow (+ 1 (exp a)) 2))))))))
(fma.f64 (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (*.f64 (/.f64 (+.f64 (-.f64 (exp.f64 a) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) b))
(exp b)
(exp.f64 b)

rewrite90.0ms (1.4%)

Memory

6.2MiB live, 51.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	129
0	48	127
1	156	117
0	1142	117

Stop Event

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

Counts

20 → 251

Calls

Call 1

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

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

eval63.0ms (1%)

Memory: 3.2MiB live, 47.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 6 343 to 944 computations (85.1% saved)

prune39.0ms (0.6%)

Memory

-19.1MiB live, 25.2MiB allocated; 11ms collecting garbage

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	267	11	278
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	270	14	284

Accuracy

100.0%

Counts

284 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.4%	(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	65.7%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
✓	68.6%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
	67.0%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
	66.9%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
▶	68.6%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
✓	80.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
▶	50.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶	48.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
▶	38.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
	38.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	37.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
	38.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
▶	41.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))

Compiler

Compiled 492 to 367 computations (25.4% saved)

simplify246.0ms (3.8%)

Memory

-24.3MiB live, 186.9MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	256
0	57	255
1	87	253
2	209	253
3	883	253
4	7829	253
0	9095	253

Stop Event

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

Calls

Call 1

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

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

localize217.0ms (3.4%)

Memory

20.2MiB live, 210.9MiB allocated; 13ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy	0.11328125	(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy	12.5210305628608	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy	19.421362175756464	#s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))))
accuracy	12.5210305628608	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
accuracy	20.47192874833344	#s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
accuracy	0.0	(+.f64 #s(literal 2 binary64) b)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b)))
accuracy	12.5210305628608	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
accuracy	27.15660390655383	#s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))
accuracy	12.5210305628608	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
accuracy	25.182246977620792	#s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64))
accuracy	0.0	(exp.f64 (neg.f64 a))
accuracy	0.015625	(-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))
accuracy	20.114556903467324	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))

Samples

195.0ms

256×

valid

Compiler

Compiled 158 to 32 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-exp: 56.0ms (41.8% of total)

ival-add: 47.0ms (35.1% of total)

ival-div: 10.0ms (7.5% of total)

ival-mult: 10.0ms (7.5% of total)

const: 5.0ms (3.7% of total)

ival-sub: 3.0ms (2.2% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

series19.0ms (0.3%)

Memory

-27.0MiB live, 27.2MiB allocated; 7ms collecting garbage

Counts

21 → 63

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
5.0ms	a	@	0	((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
2.0ms	b	@	inf	((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
2.0ms	b	@	-inf	((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))
1.0ms	a	@	inf	((/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (exp (neg a)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ 2 b) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* 1/2 b) 1) b) 2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (- (exp b) -1) (+ (* (+ (* (+ (* 1/6 b) 1/2) b) 1) b) 2) (+ (* 1/2 b) 1) (+ (* 1/6 b) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1))

simplify181.0ms (2.8%)

Memory

5.5MiB live, 236.6MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	1186
1	771	1094
2	2983	1033
0	8806	969

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

Calls

Call 1

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

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

rewrite98.0ms (1.5%)

Memory

16.3MiB live, 164.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	238
0	57	237
1	215	235
0	1607	235

Stop Event

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

Counts

21 → 175

Calls

Call 1

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

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

eval35.0ms (0.5%)

Memory: -10.7MiB live, 79.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 7 027 to 1 155 computations (83.6% saved)

prune18.0ms (0.3%)

Memory

2.8MiB live, 48.9MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	216	10	226
Fresh	2	4	6
Picked	2	3	5
Done	0	3	3
Total	220	20	240

Accuracy

100.0%

Counts

240 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.7%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
✓	68.6%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
▶	66.9%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
✓	68.6%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
▶	60.8%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg 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)))))
▶	57.7%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
	42.2%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
	41.5%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg 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))))
	41.5%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg a)) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
	41.2%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg a)) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
✓	80.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
	50.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	49.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
✓	38.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
	40.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
	13.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (.f64 (.f64 #s(literal 1/2 binary64) b) b)))))
	38.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
▶	37.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
▶	38.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
✓	41.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))

Compiler

Compiled 887 to 655 computations (26.2% saved)

simplify155.0ms (2.4%)

Memory

-6.0MiB live, 282.7MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	300
0	66	298
1	107	294
2	280	294
3	1090	294
4	7697	294
0	9140	294

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.5%)

Memory

31.8MiB live, 319.9MiB allocated; 15ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64))
accuracy	5.643975341990583	#s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
accuracy	20.114556903467324	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))
accuracy	7.658651660415416	#s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))
accuracy	20.114556903467324	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
accuracy	0.03125	(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
accuracy	0.09765625	(fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
accuracy	12.5210305628608	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
accuracy	27.414859196799963	#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
accuracy	0.0	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
accuracy	12.5210305628608	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
accuracy	26.826125881349626	#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
accuracy	0.0	(exp.f64 a)
accuracy	0.2578152510508252	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
accuracy	15.706141584041482	#s(approx (- (exp a) -1) #s(literal 2 binary64))
accuracy	25.2669821354519	#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))

Samples

73.0ms

256×

valid

Compiler

Compiled 182 to 41 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 14.0ms (26% of total)

ival-add: 12.0ms (22.3% of total)

ival-div: 7.0ms (13% of total)

const: 7.0ms (13% of total)

ival-exp: 6.0ms (11.1% of total)

ival-sub: 5.0ms (9.3% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

series18.0ms (0.3%)

Memory

-3.9MiB live, 52.0MiB allocated; 13ms collecting garbage

Counts

22 → 86

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* (+ (* -1/6 a) 1/2) a) -1) a) 2) (+ (* 1/2 a) -1) (+ (* -1/6 a) 1/2) (+ (* (+ (* -1/6 a) 1/2) a) -1))
2.0ms	b	@	inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* (+ (* -1/6 a) 1/2) a) -1) a) 2) (+ (* 1/2 a) -1) (+ (* -1/6 a) 1/2) (+ (* (+ (* -1/6 a) 1/2) a) -1))
2.0ms	a	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* (+ (* -1/6 a) 1/2) a) -1) a) 2) (+ (* 1/2 a) -1) (+ (* -1/6 a) 1/2) (+ (* (+ (* -1/6 a) 1/2) a) -1))
2.0ms	b	@	-inf	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* (+ (* -1/6 a) 1/2) a) -1) a) 2) (+ (* 1/2 a) -1) (+ (* -1/6 a) 1/2) (+ (* (+ (* -1/6 a) 1/2) a) -1))
1.0ms	a	@	0	((/ (exp a) (+ (exp a) (exp b))) (exp a) (+ (exp a) (exp b)) (- (exp a) -1) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* -1/4 b) 1/2) (/ (exp a) (+ (exp a) (exp b))) (/ 1 (- (exp b) -1)) (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (+ (* (* b b) 1/48) -1/4) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* 1/2 a) -1) a) 2) (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/ 1 (- (exp (neg a)) -1)) (- (exp (neg a)) -1) (+ (* (+ (* (+ (* -1/6 a) 1/2) a) -1) a) 2) (+ (* 1/2 a) -1) (+ (* -1/6 a) 1/2) (+ (* (+ (* -1/6 a) 1/2) a) -1))

simplify178.0ms (2.8%)

Memory

-24.6MiB live, 357.8MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	1399
1	906	1336
2	3620	1302
0	8570	1234

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 86

Calls

Call 1

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

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

rewrite89.0ms (1.4%)

Memory

-2.3MiB live, 138.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	277
0	66	275
1	262	271
0	1970	271

Stop Event

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

Counts

22 → 177

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
(/.f64 (exp.f64 a) (neg.f64 (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))))
(+.f64 (/.f64 (cosh.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) (/.f64 (sinh.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 a) (cosh.f64 a)) (.f64 (sinh.f64 a) (sinh.f64 a))) (exp.f64 (neg.f64 a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (.f64 (sinh.f64 a) (sinh.f64 a)) (.f64 (cosh.f64 a) (sinh.f64 a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(neg.f64 (neg.f64 (exp.f64 a)))
(-.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 a)))
(exp.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 a))) #s(literal -1 binary64)))
(exp.f64 a)
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
#s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))
#s(approx (- (exp a) -1) #s(literal 2 binary64))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 b b) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal -1/8 binary64))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 b b) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (*.f64 b #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal -1/8 binary64)))))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal -1/4 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal -1/8 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b)) (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b)) (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64))) b))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 b) (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64))))
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(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) a)))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 a a) #s(literal 1/4 binary64) #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (.f64 a #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) a))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)) (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 a a) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal -1/2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) a))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 a a) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 a a) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 a a) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) a) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) a) #s(literal 2 binary64)) (.f64 a #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 a a) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal -1/12 binary64)))))
(fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) a) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 a) #s(literal -1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) a) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 a a) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 a a) (-.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal -1/12 binary64))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) a) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) a))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64))
(fma.f64 a (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64))) a))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a))

eval40.0ms (0.6%)

Memory: 6.0MiB live, 102.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 8 766 to 1 317 computations (85% saved)

prune25.0ms (0.4%)

Memory

22.7MiB live, 70.1MiB allocated; 3ms collecting garbage

Pruning

30 alts after pruning (19 fresh and 11 done)

	Pruned	Kept	Total
New	246	10	256
Fresh	0	9	9
Picked	0	5	5
Done	0	6	6
Total	246	30	276

Accuracy

100.0%

Counts

276 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.7%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
✓	68.6%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
✓	66.9%	(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
	40.8%	(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
✓	68.6%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
✓	60.8%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg 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)))))
	60.8%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 a a) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) a) #s(literal 1/2 binary64))) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
	60.5%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 a) 1/2) (*.f64 #s(literal -1/6 binary64) a)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
✓	57.7%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
	60.2%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 #s(approx (+ (* (+ (* -1/6 a) 1/2) a) -1) (.f64 (.f64 #s(literal -1/6 binary64) a) a)) a #s(literal 2 binary64)))))
	57.2%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 #s(approx (+ (* 1/2 a) -1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 2 binary64)))))
	42.2%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
	38.1%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))))
	44.0%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a)))))
	19.9%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 a a) #s(literal 1/2 binary64))))))
	41.5%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg 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))))
	41.5%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg a)) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
	41.2%	#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg a)) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
✓	80.4%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
	50.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
	49.8%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
✓	38.3%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
	40.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
	13.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (.f64 (.f64 #s(literal 1/2 binary64) b) b)))))
	38.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
✓	37.6%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
✓	38.5%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
	14.7%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
	4.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
✓	41.2%	#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 805 to 875 computations (51.5% saved)

regimes68.0ms (1.1%)

Memory

-9.0MiB live, 136.1MiB allocated; 14ms collecting garbage

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* -1/4 b) 1/2) (*.f64 #s(literal -1/4 binary64) b))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg a)) -1)) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (+.f64 #s(literal 2 binary64) b))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
(/.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg a)) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (.f64 (.f64 #s(literal 1/2 binary64) b) b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 a a) #s(literal 1/2 binary64))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 #s(approx (+ (* 1/2 a) -1) (*.f64 #s(literal 1/2 binary64) a)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 #s(approx (+ (* (+ (* -1/6 a) 1/2) a) -1) (.f64 (.f64 #s(literal -1/6 binary64) a) a)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 b b) #s(literal 1/48 binary64)) (.f64 b b) #s(literal -1/4 binary64)) b #s(literal 1/2 binary64))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 a) 1/2) (*.f64 #s(literal -1/6 binary64) a)) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg 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 (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg 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 (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (-.f64 b #s(literal -2 binary64)) b) b) #s(literal -1/2 binary64)) b) b)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a)) a)) a) a)))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 b b) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) b) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 a a) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) a) #s(literal 1/2 binary64))) a #s(literal -1 binary64)) a #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(approx (+ (* (+ (* (* b b) 1/48) -1/4) b) 1/2) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) (+.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 (fma.f64 (neg.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (exp.f64 a)) (-.f64 (exp.f64 a) #s(literal -1 binary64))))

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

Calls

5 calls:

26.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms	b
11.0ms	(exp.f64 a)
10.0ms	a
7.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes45.0ms (0.7%)

Memory

1.3MiB live, 93.0MiB allocated; 12ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

12.0ms	b
10.0ms	(exp.f64 a)
9.0ms	a
6.0ms	(exp.f64 b)
6.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
100.0%	3	`(exp.f64 b)`
98.5%	2	`(exp.f64 a)`
88.6%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.5%	2	`a`
100.0%	3	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes20.0ms (0.3%)

Memory

-11.0MiB live, 40.0MiB allocated; 7ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

10.0ms	(exp.f64 a)
8.0ms	a

Results

Accuracy	Segments	Branch
98.5%	2	`(exp.f64 a)`
98.5%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes19.0ms (0.3%)

Memory

-8.5MiB live, 37.4MiB allocated; 4ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	(exp.f64 a)
8.0ms	a

Results

Accuracy	Segments	Branch
98.5%	2	`(exp.f64 a)`
98.5%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes33.0ms (0.5%)

Memory

24.2MiB live, 70.0MiB allocated; 7ms collecting garbage

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`(exp.f64 b)`
98.4%	3	`b`
97.9%	2	`(exp.f64 a)`
98.2%	2	`a`

Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes43.0ms (0.7%)

Memory

-12.2MiB live, 85.7MiB allocated; 11ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

12.0ms	(exp.f64 b)
10.0ms	a
8.0ms	b
6.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
66.9%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
71.5%	2	`(exp.f64 b)`
75.2%	2	`b`
72.5%	2	`(exp.f64 a)`
72.5%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes31.0ms (0.5%)

Memory

19.4MiB live, 65.6MiB allocated; 6ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

10.0ms	a
8.0ms	b
6.0ms	(exp.f64 b)
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
66.5%	2	`(exp.f64 b)`
66.0%	2	`(exp.f64 a)`
70.2%	3	`a`
69.8%	2	`b`

Compiler

Compiled 6 to 10 computations (-66.7% saved)

regimes9.0ms (0.1%)

Memory

-30.0MiB live, 16.2MiB allocated; 4ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
69.6%	2	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
69.3%	2	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.3%)

Memory

-13.0MiB live, 33.5MiB allocated; 5ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.7%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
62.7%	2	`a`
66.7%	2	`b`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes12.0ms (0.2%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.9%	2	`(exp.f64 a)`
63.3%	2	`(exp.f64 b)`
65.2%	2	`b`

Compiler

Compiled 5 to 8 computations (-60% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
64.8%	2	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (0.3%)

Memory

-4.4MiB live, 47.1MiB allocated; 7ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

7.0ms	b
4.0ms	a
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 b)
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
57.8%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
57.9%	2	`(exp.f64 a)`
57.9%	2	`a`
52.0%	2	`(exp.f64 b)`
54.1%	3	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.2%)

Memory

0.1MiB live, 47.0MiB allocated; 2ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	a
3.0ms	b
3.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
52.0%	2	`b`
51.6%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
44.6%	2	`(exp.f64 a)`
44.6%	2	`a`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes19.0ms (0.3%)

Memory

-38.3MiB live, 55.0MiB allocated; 9ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	b
3.0ms	a
2.0ms	(exp.f64 b)
2.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
42.2%	1	`a`
42.2%	1	`(exp.f64 a)`
42.2%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
42.2%	1	`(exp.f64 b)`
42.2%	1	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Accuracy

Total -24.5b remaining (-65.2%)

Threshold costs -24.5b (-65.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
41.2%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
41.2%	1	`a`
41.2%	1	`(exp.f64 a)`
41.2%	1	`(exp.f64 b)`
41.2%	1	`b`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch23.0ms (0.4%)

Memory

-22.8MiB live, 32.9MiB allocated; 25ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-2.2022503523941023e-13	-8.65476948553757e-15

Samples

17.0ms

112×

valid

Compiler

Compiled 200 to 172 computations (14% saved)

Precisions

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

ival-exp: 2.0ms (62.1% of total)

ival-div: 1.0ms (31.1% of total)

ival-add: 1.0ms (31.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.2022503523941023e-13	-8.65476948553757e-15

Compiler

Compiled 207 to 179 computations (13.5% saved)

bsearch1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.2022503523941023e-13	-8.65476948553757e-15

Compiler

Compiled 249 to 228 computations (8.4% saved)

bsearch13.0ms (0.2%)

Memory

-16.7MiB live, 30.6MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-136538.2337890845	-3529.12290906251

Samples

8.0ms

112×

valid

Compiler

Compiled 221 to 193 computations (12.7% saved)

Precisions

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

ival-exp: 2.0ms (59.3% of total)

ival-div: 1.0ms (29.6% of total)

ival-add: 1.0ms (29.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

1.8MiB live, 49.0MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.894125657075035e+102	2.813418187145878e+111

Samples

7.0ms

144×

valid

Compiler

Compiled 452 to 362 computations (19.9% saved)

Precisions

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

ival-exp: 2.0ms (52% of total)

ival-div: 1.0ms (26% of total)

ival-add: 1.0ms (26% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.894125657075035e+102	2.813418187145878e+111

Compiler

Compiled 587 to 461 computations (21.5% saved)

bsearch2.0ms (0%)

Memory

6.8MiB live, 6.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.894125657075035e+102	2.813418187145878e+111

Compiler

Compiled 632 to 497 computations (21.4% saved)

bsearch2.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.894125657075035e+102	2.813418187145878e+111

Compiler

Compiled 659 to 506 computations (23.2% saved)

bsearch2.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.894125657075035e+102	2.813418187145878e+111

Compiler

Compiled 560 to 443 computations (20.9% saved)

bsearch23.0ms (0.4%)

Memory

20.0MiB live, 88.6MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.350859598037236e+143	9.233218243684279e+161

Samples

14.0ms

160×

valid

Compiler

Compiled 591 to 471 computations (20.3% saved)

Precisions

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

ival-exp: 7.0ms (66.4% of total)

ival-add: 3.0ms (28.5% of total)

ival-div: 1.0ms (9.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.350859598037236e+143	9.233218243684279e+161

Compiler

Compiled 641 to 501 computations (21.8% saved)

bsearch15.0ms (0.2%)

Memory

-1.9MiB live, 37.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-61.32883222776299	-0.36446896462762063

Samples

6.0ms

112×

valid

Compiler

Compiled 459 to 354 computations (22.9% saved)

Precisions

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

ival-exp: 2.0ms (58.7% of total)

ival-div: 1.0ms (29.3% of total)

ival-add: 1.0ms (29.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-4.7MiB live, 40.3MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.1408419496612585e+38	1.2122483503471012e+47

Samples

9.0ms

144×

valid

Compiler

Compiled 497 to 398 computations (19.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 4.0ms (71.7% of total)

ival-div: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

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

adjust: 0.0ms (0% of total)

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

simplify51.0ms (0.8%)

Memory

23.1MiB live, 121.8MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	145	762
1	201	740
2	348	740
3	1132	740

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 -8715097876569077/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -8715097876569077/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -8715097876569077/39614081257132168796771975168 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -23000 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 a) 1/2) (.f64 #s(literal -1/6 binary64) a)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 #s(approx (+ (* (+ (* -1/6 a) 1/2) a) -1) (.f64 (.f64 #s(literal -1/6 binary64) a) a)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 5400000000000000110202804274070248610596047594837054582662850016903650328657982907179961355866583678498760035283838704243243326830781693779633095797899264 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))))
(if (<=.f64 b #s(literal 5400000000000000110202804274070248610596047594837054582662850016903650328657982907179961355866583678498760035283838704243243326830781693779633095797899264 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 #s(approx (+ (* 1/2 a) -1) (.f64 #s(literal 1/2 binary64) a)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ ( (+ (* 1/2 b) 1) b) 2) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))))
(if (<=.f64 a #s(literal -5/2 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) #s(approx (+ (* (+ (* 1/2 a) -1) a) 2) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp (neg a)) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal 1100000000000000064848534436950761900343296 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) #s(approx (+ (* (+ (* 1/2 b) 1) b) 2) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -8715097876569077/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -8715097876569077/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -8715097876569077/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -8715097876569077/39614081257132168796771975168 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -8715097876569077/39614081257132168796771975168 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -8715097876569077/39614081257132168796771975168 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -23000 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -23000 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) (/.f64 (exp.f64 a) #s(approx (+ (exp a) (exp b)) #s(approx (- (exp a) -1) #s(literal 2 binary64)))) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a #s(literal 2 binary64))) #s(literal -1 binary64))) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ (* (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 a) 1/2) (.f64 #s(literal -1/6 binary64) a)) a #s(literal -1 binary64)) a #s(literal 2 binary64))))) #s(approx (/ (exp a) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal 9499999999999999222481735058820725545439976674105979945221792112937755675195530152576548158474312220672 binary64)) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp (neg a)) -1) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 a) 1/2) (.f64 #s(literal -1/6 binary64) a)) a #s(literal -1 binary64)) a #s(literal 2 binary64))) #s(literal -1 binary64))) #s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp b) -1) (fma.f64 #s(approx (+ ( (+ (* 1/6 b) 1/2) b) 1) (.f64 (.f64 #s(literal 1/6 binary64) b) b)) b #s(literal 2 binary64))) #s(literal -1 binary64))))
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#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a))))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) (pow.f64 #s(approx (- (exp (neg a)) -1) (-.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)))
#s(approx (/ (exp a) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))
#s(approx (/ (/ 1 (exp (neg a))) (+ (exp a) (exp b))) #s(approx (/ 1 (- (exp b) -1)) #s(literal 1/2 binary64)))

derivations1.4s (21.5%)

Memory

22.5MiB live, 1 517.6MiB allocated; 319ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	1603
1	962	1502
2	4076	1459
0	8876	1371
0	310	1399
1	906	1336
2	3620	1302
0	8570	1234
0	253	1186
1	771	1094
2	2983	1033
0	8806	969
0	120	516
1	363	504
2	1444	475
3	7072	467
0	8538	434
0	6	17
0	10	17
1	33	17
2	244	17
3	3096	17
0	9585	17

Stop Event

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

Compiler

Compiled 812 to 149 computations (81.7% saved)

preprocess93.0ms (1.4%)

Memory: 9.5MiB live, 193.9MiB allocated; 32ms collecting garbage
Compiler: Compiled 1 656 to 324 computations (80.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0.1%)

sample1.3s (19.5%)

explain80.0ms (1.2%)

preprocess155.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify159.0ms (2.5%)

localize22.0ms (0.3%)

series7.0ms (0.1%)

simplify233.0ms (3.6%)

rewrite226.0ms (3.5%)

eval74.0ms (1.1%)

prune10.0ms (0.1%)

simplify195.0ms (3%)

localize100.0ms (1.5%)

series58.0ms (0.9%)

simplify248.0ms (3.8%)

rewrite90.0ms (1.4%)

eval63.0ms (1%)

prune39.0ms (0.6%)

simplify246.0ms (3.8%)

localize217.0ms (3.4%)

series19.0ms (0.3%)

simplify181.0ms (2.8%)

rewrite98.0ms (1.5%)

eval35.0ms (0.5%)

prune18.0ms (0.3%)

simplify155.0ms (2.4%)

localize96.0ms (1.5%)

series18.0ms (0.3%)

simplify178.0ms (2.8%)

rewrite89.0ms (1.4%)

eval40.0ms (0.6%)

prune25.0ms (0.4%)

regimes68.0ms (1.1%)

regimes45.0ms (0.7%)

regimes20.0ms (0.3%)

regimes19.0ms (0.3%)

regimes33.0ms (0.5%)

regimes43.0ms (0.7%)

regimes31.0ms (0.5%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes17.0ms (0.3%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes19.0ms (0.3%)

regimes14.0ms (0.2%)

regimes19.0ms (0.3%)

regimes10.0ms (0.1%)

bsearch23.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch13.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch23.0ms (0.4%)

bsearch2.0ms (0%)

bsearch15.0ms (0.2%)

bsearch16.0ms (0.2%)

simplify51.0ms (0.8%)

derivations1.4s (21.5%)

preprocess93.0ms (1.4%)

end0.0ms (0%)

Profiling