Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze129.0ms (1.4%)

Memory

-6.7MiB live, 85.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
50%	50%	50%	0.1%	0%	0%	0%	6
50%	50%	50%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
50%	50%	50%	0.1%	0%	0%	0%	9
50%	50%	50%	0.1%	0%	0%	0%	10
50%	50%	50%	0.1%	0%	0%	0%	11
50%	50%	50%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 8 computations (0% saved)

sample4.0s (44.5%)

Memory

61.0MiB live, 2 103.9MiB allocated

Samples

1.5s	6 711×	5	exit
720.0ms	1 523×	2	valid
660.0ms	2 369×	1	valid
248.0ms	4 364×	0	valid
83.0ms	889×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 977.0ms (37.6% of total)

ival-log: 917.0ms (35.3% of total)

adjust: 461.0ms (17.8% of total)

ival-add: 223.0ms (8.6% of total)

ival-true: 12.0ms (0.5% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

explain132.0ms (1.5%)

Memory

14.3MiB live, 76.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
134	-	-	`(log.f64 (+.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
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	sensitivity	130	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	3	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	3
↳	`(exp.f64 a)`	overflow	1
↳	`(exp.f64 b)`	overflow	2
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	1	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	63
↳	`(exp.f64 b)`	underflow	70

Confusion

	Predicted +	Predicted -
+	134	0
-	0	122

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	0	0	122

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	96×	2	valid
29.0ms	152×	1	valid
15.0ms	264×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-log: 39.0ms (54.4% of total)

ival-exp: 23.0ms (32.1% of total)

adjust: 5.0ms (7% of total)

ival-add: 4.0ms (5.6% of total)

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

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

preprocess141.0ms (1.6%)

Memory

9.3MiB live, 71.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	36	36
2	93	36
3	350	36
4	1728	36
5	6576	36
0	6	6
0	10	6
1	17	6
2	40	6
3	112	6
4	514	6
5	5054	6
0	8066	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify98.0ms (1.1%)

Memory

-7.9MiB live, 52.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	17	17
2	40	17
3	112	17
4	514	17
5	5054	17
0	8066	17

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

-7.0MiB live, 23.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	30.59684233488076	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

22.0ms	48×	2	valid
14.0ms	76×	1	valid
7.0ms	132×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-log: 19.0ms (54.1% of total)

ival-exp: 12.0ms (34.1% of total)

adjust: 2.0ms (5.7% of total)

ival-add: 2.0ms (5.7% of total)

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

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

series94.0ms (1.1%)

Memory

10.3MiB live, 49.4MiB allocated

Counts

4 → 27

Calls

Call 1

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

Outputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(exp a)
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ 1 (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
36.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
25.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
19.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
13.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
1.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))

simplify123.0ms (1.4%)

Memory

3.3MiB live, 62.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	370
1	317	370
2	1186	366
3	5037	366
0	8217	320

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

rewrite162.0ms (1.8%)

Memory

-2.9MiB live, 87.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	30	15
2	225	15
3	2920	15
0	8678	15

Stop Event

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

Counts

4 → 263

Calls

Call 1

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

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

eval35.0ms (0.4%)

Memory: 5.5MiB live, 35.3MiB allocated
Compiler: Compiled 7 882 to 1 233 computations (84.4% saved)

prune7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	284	6	290
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	284	7	291

Accuracy

99.4%

Counts

291 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	51.2%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	51.0%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	50.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	98.5%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
▶	48.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	49.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 162 to 134 computations (17.3% saved)

simplify110.0ms (1.2%)

Memory

-7.2MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
cost-diff	0	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
cost-diff	0	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
cost-diff	0	(exp.f64 a)
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
cost-diff	0	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
cost-diff	0	(exp.f64 b)
cost-diff	0	(log1p.f64 (exp.f64 b))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(log1p.f64 (exp.f64 a))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
cost-diff	0	(+.f64 (exp.f64 a) #s(literal 1 binary64))
cost-diff	0	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff	0	(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	164
0	45	164
1	64	164
2	122	164
3	282	164
4	895	164
5	5862	164
0	8272	164

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.1%)

Memory

-6.2MiB live, 55.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
accuracy	1.8045658320472182	#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
accuracy	30.59684233488076	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
accuracy	0.0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	1.9645995011040438	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	30.59684233488076	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	0.0	(exp.f64 b)
accuracy	0.7301386053572835	(log1p.f64 (exp.f64 b))
accuracy	32.169958818845515	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
accuracy	0.0	(log1p.f64 (exp.f64 a))
accuracy	0.0	(exp.f64 a)
accuracy	32.23466953509526	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.0	(log1p.f64 (exp.f64 a))
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.9830149956417769	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))

Samples

34.0ms	48×	2	valid
28.0ms	76×	1	valid
19.0ms	132×	0	valid

Compiler

Compiled 122 to 20 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-log: 19.0ms (30.8% of total)

ival-exp: 13.0ms (21.1% of total)

adjust: 8.0ms (13% of total)

ival-add: 8.0ms (13% of total)

ival-log1p: 7.0ms (11.4% of total)

ival-mult: 3.0ms (4.9% of total)

ival-div: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series116.0ms (1.3%)

Memory

13.8MiB live, 77.1MiB allocated

Counts

16 → 48

Calls

Call 1

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

Outputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
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)))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(+ 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)))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
33.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
21.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
19.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
4.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))

simplify125.0ms (1.4%)

Memory

-15.6MiB live, 71.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	622
1	610	599
2	2332	588
0	8405	504

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
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)))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(+ 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)))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))

Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 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)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (.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)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(fma.f64 (.f64 a a) (.f64 (.f64 #s(literal 1/48 binary64) b) a) (.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #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)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp b)
(exp.f64 b)
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

rewrite178.0ms (2%)

Memory

6.2MiB live, 102.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	129
0	45	129
1	169	129
2	1306	129
0	8641	129

Stop Event

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

Counts

16 → 248

Calls

Call 1

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

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

eval48.0ms (0.5%)

Memory: 21.7MiB live, 51.4MiB allocated
Compiler: Compiled 15 568 to 1 750 computations (88.8% saved)

prune33.0ms (0.4%)

Memory

-3.3MiB live, 31.9MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	419	12	431
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	419	19	438

Accuracy

99.4%

Counts

438 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	51.2%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	51.0%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	50.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	98.5%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
✓	98.5%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	48.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
▶	56.6%	#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
✓	48.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	49.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	46.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	47.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	47.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	47.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
▶	47.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	47.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	47.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
▶	47.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 599 to 463 computations (22.7% saved)

simplify119.0ms (1.3%)

Memory

-15.8MiB live, 72.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) b)
cost-diff	0	#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
cost-diff	0	(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
cost-diff	1	(fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
cost-diff	1	(+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	300
0	74	300
1	130	300
2	329	300
3	1416	300
0	8410	289

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64))))
b
(expm1.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 a #s(literal 3 binary64))
a
#s(literal 3 binary64)
(*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(expm1.f64 (+.f64 a a))
(+.f64 a a)
(fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp.f64 a)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
a
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
b
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 (/.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))) (expm1.f64 (.f64 #s(literal 2 binary64) a))) (expm1.f64 (.f64 #s(literal 3 binary64) a)) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (/.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))) (expm1.f64 (.f64 #s(literal 2 binary64) a))) (expm1.f64 (.f64 #s(literal 3 binary64) a)) (log1p.f64 (exp.f64 a)))
(/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(.f64 (/.f64 (/.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))) (expm1.f64 (.f64 #s(literal 2 binary64) a))) (expm1.f64 (*.f64 #s(literal 3 binary64) a)))
(.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64))))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) a)) b)
b
(expm1.f64 (*.f64 a #s(literal 3 binary64)))
(expm1.f64 (*.f64 #s(literal 3 binary64) a))
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) a)
a
#s(literal 3 binary64)
(*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) a)))
(expm1.f64 (+.f64 a a))
(expm1.f64 (*.f64 #s(literal 2 binary64) a))
(+.f64 a a)
(*.f64 #s(literal 2 binary64) a)
(fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))
(exp.f64 a)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(literal 1 binary64)
(log1p.f64 (exp.f64 a))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
a
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
b
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(log1p.f64 (exp.f64 a))
(exp.f64 a)
a

localize181.0ms (2%)

Memory

1.4MiB live, 100.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(log1p.f64 (exp.f64 a))
accuracy	0.0	(exp.f64 a)
accuracy	0.9830149956417769	#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
accuracy	27.441902491756945	#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
accuracy	1.5968488097205438	#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
accuracy	32.169958818845515	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
accuracy	32.23466953509526	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
accuracy	32.73332680738437	#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
accuracy	0.0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	32.23466953509526	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	32.64987313927119	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.10546875	(*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
accuracy	0.10546875	(expm1.f64 (*.f64 a #s(literal 3 binary64)))
accuracy	0.9830149956417769	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
accuracy	14.273754384837963	(/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Samples

66.0ms	60×	2	valid
50.0ms	89×	1	valid
27.0ms	107×	0	valid

Compiler

Compiled 239 to 37 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-log: 26.0ms (22.4% of total)

ival-expm1: 18.0ms (15.5% of total)

adjust: 17.0ms (14.7% of total)

ival-add: 15.0ms (12.9% of total)

ival-exp: 14.0ms (12.1% of total)

ival-mult: 13.0ms (11.2% of total)

ival-log1p: 7.0ms (6% of total)

ival-div: 5.0ms (4.3% of total)

exact: 1.0ms (0.9% of total)

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

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

series79.0ms (0.9%)

Memory

15.2MiB live, 79.7MiB allocated

Counts

23 → 72

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
(/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(expm1.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp.f64 a)
(log1p.f64 (exp.f64 a))

Outputs
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 3/4 b)) b))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 3/4 b) (* a (- (+ 1/8 (* 3/4 b)) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))))) b))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 3/4 b) (* a (- (+ 1/8 (+ (* 3/4 b) (* a (- (* 9/16 b) (+ (* 7/6 b) (+ (* 2 (- (* 3/4 b) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))) (* 5/2 (- (* 3/4 b) b)))))))) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))))) b))))
3
(+ 3 (* 3 a))
(+ 3 (* a (+ 3 (* 5/2 a))))
(+ 3 (* a (+ 3 (* a (+ 5/2 (* 3/2 a))))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(* 1/2 b)
(+ (* 1/2 b) (* a (- (* 3/4 b) b)))
(+ (* 1/2 b) (* a (- (+ (* 3/4 b) (* a (- (* 3/4 b) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b)))))) b)))
(+ (* 1/2 b) (* a (- (+ (* 3/4 b) (* a (- (+ (* 3/4 b) (* a (- (* 9/16 b) (+ (* 7/6 b) (+ (* 2 (- (* 3/4 b) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))) (* 5/2 (- (* 3/4 b) b))))))) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b)))))) b)))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(* 3 a)
(* a (+ 3 (* 9/2 a)))
(* a (+ 3 (* a (+ 9/2 (* 9/2 a)))))
(* a (+ 3 (* a (+ 9/2 (* a (+ 9/2 (* 27/8 a)))))))
(* 6 a)
(* a (+ 6 (* 12 a)))
(* a (+ 6 (* a (+ 12 (* 15 a)))))
(* a (+ 6 (* a (+ 12 (* a (+ 15 (* 14 a)))))))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))))
(+ 1 (+ (exp a) (pow (exp a) 2)))
(log (+ (exp a) (exp b)))
(/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))
(log (+ 1 (exp a)))
(exp a)
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(- (exp (* 3 a)) 1)
(* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (neg (* -2 a))) 1))))
(/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (neg (* -2 a))) 1)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (neg (* -2 a))) 1))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp (* 3 a)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))) (/ 1 (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
1/2
(+ 1/2 (* 1/8 b))
(* b (- (/ (exp (* 3 a)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))) (/ 1 (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))))
(* b (- (+ (/ (exp (* 3 a)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))) (/ (log (+ 1 (exp a))) b)) (/ 1 (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(* 1/8 b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp (* 3 a)) 1) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	b	@	inf	((+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (+ (* (exp a) (exp a)) (+ 1 (exp a))) (log (+ (exp a) (exp b))) (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (- (exp (* a 3)) 1) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a)))) (exp a) (log (+ 1 (exp a))))
18.0ms	a	@	-inf	((+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (+ (* (exp a) (exp a)) (+ 1 (exp a))) (log (+ (exp a) (exp b))) (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (- (exp (* a 3)) 1) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a)))) (exp a) (log (+ 1 (exp a))))
16.0ms	b	@	-inf	((+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (+ (* (exp a) (exp a)) (+ 1 (exp a))) (log (+ (exp a) (exp b))) (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (- (exp (* a 3)) 1) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a)))) (exp a) (log (+ 1 (exp a))))
15.0ms	a	@	inf	((+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (+ (* (exp a) (exp a)) (+ 1 (exp a))) (log (+ (exp a) (exp b))) (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (- (exp (* a 3)) 1) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a)))) (exp a) (log (+ 1 (exp a))))
5.0ms	a	@	0	((+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (+ (* (exp a) (exp a)) (+ 1 (exp a))) (log (+ (exp a) (exp b))) (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (- (exp (* a 3)) 1) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a)))) (exp a) (log (+ 1 (exp a))))

simplify124.0ms (1.4%)

Memory

-17.0MiB live, 73.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	1215
1	1096	1126
2	3735	1101
0	8131	926

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 3/4 b)) b))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 3/4 b) (* a (- (+ 1/8 (* 3/4 b)) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))))) b))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 3/4 b) (* a (- (+ 1/8 (+ (* 3/4 b) (* a (- (* 9/16 b) (+ (* 7/6 b) (+ (* 2 (- (* 3/4 b) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))) (* 5/2 (- (* 3/4 b) b)))))))) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))))) b))))
3
(+ 3 (* 3 a))
(+ 3 (* a (+ 3 (* 5/2 a))))
(+ 3 (* a (+ 3 (* a (+ 5/2 (* 3/2 a))))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(* 1/2 b)
(+ (* 1/2 b) (* a (- (* 3/4 b) b)))
(+ (* 1/2 b) (* a (- (+ (* 3/4 b) (* a (- (* 3/4 b) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b)))))) b)))
(+ (* 1/2 b) (* a (- (+ (* 3/4 b) (* a (- (+ (* 3/4 b) (* a (- (* 9/16 b) (+ (* 7/6 b) (+ (* 2 (- (* 3/4 b) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))) (* 5/2 (- (* 3/4 b) b))))))) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b)))))) b)))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(* 3 a)
(* a (+ 3 (* 9/2 a)))
(* a (+ 3 (* a (+ 9/2 (* 9/2 a)))))
(* a (+ 3 (* a (+ 9/2 (* a (+ 9/2 (* 27/8 a)))))))
(* 6 a)
(* a (+ 6 (* 12 a)))
(* a (+ 6 (* a (+ 12 (* 15 a)))))
(* a (+ 6 (* a (+ 12 (* a (+ 15 (* 14 a)))))))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))))
(+ 1 (+ (exp a) (pow (exp a) 2)))
(log (+ (exp a) (exp b)))
(/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))
(log (+ 1 (exp a)))
(exp a)
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(- (exp (* 3 a)) 1)
(* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (neg (* -2 a))) 1))))
(/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (neg (* -2 a))) 1)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (neg (* -2 a))) 1))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp (* 3 a)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))) (/ 1 (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
1/2
(+ 1/2 (* 1/8 b))
(* b (- (/ (exp (* 3 a)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))) (/ 1 (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))))
(* b (- (+ (/ (exp (* 3 a)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))) (/ (log (+ 1 (exp a))) b)) (/ 1 (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))))
(* 1/8 (pow b 2))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(* 1/8 b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp (* 3 a)) 1) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))

Outputs
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 3/4 b)) b))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 3/4 b) (* a (- (+ 1/8 (* 3/4 b)) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))))) b))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) b) b) #s(literal 1/8 binary64))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 3/4 b) (* a (- (+ 1/8 (+ (* 3/4 b) (* a (- (* 9/16 b) (+ (* 7/6 b) (+ (* 2 (- (* 3/4 b) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))) (* 5/2 (- (* 3/4 b) b)))))))) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))))) b))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 b #s(literal -29/48 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) b) b))) #s(literal 2 binary64) (.f64 #s(literal 5/2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) b) b)))) a (fma.f64 #s(literal -1/2 binary64) b (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) b) b) #s(literal 1/8 binary64)))) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
3
#s(literal 3 binary64)
(+ 3 (* 3 a))
(fma.f64 #s(literal 3 binary64) a #s(literal 3 binary64))
(+ 3 (* a (+ 3 (* 5/2 a))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) a #s(literal 3 binary64)) a #s(literal 3 binary64))
(+ 3 (* a (+ 3 (* a (+ 5/2 (* 3/2 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) a #s(literal 5/2 binary64)) a #s(literal 3 binary64)) a #s(literal 3 binary64))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 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)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (.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)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* 1/2 b) (* a (- (* 3/4 b) b)))
(fma.f64 (-.f64 (.f64 #s(literal 3/4 binary64) b) b) a (.f64 #s(literal 1/2 binary64) b))
(+ (* 1/2 b) (* a (- (+ (* 3/4 b) (* a (- (* 3/4 b) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b)))))) b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) b) b))) a (-.f64 (.f64 #s(literal 3/4 binary64) b) b)) a (.f64 #s(literal 1/2 binary64) b))
(+ (* 1/2 b) (* a (- (+ (* 3/4 b) (* a (- (+ (* 3/4 b) (* a (- (* 9/16 b) (+ (* 7/6 b) (+ (* 2 (- (* 3/4 b) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b))))) (* 5/2 (- (* 3/4 b) b))))))) (+ (* 5/4 b) (* 2 (- (* 3/4 b) b)))))) b)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 b #s(literal -29/48 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) b) b))) #s(literal 2 binary64) (.f64 #s(literal 5/2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) b) b)))) a (fma.f64 #s(literal -1/2 binary64) b (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) b) b)))) a (-.f64 (.f64 #s(literal 3/4 binary64) b) b)) a (*.f64 #s(literal 1/2 binary64) b))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) b) a #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/48 binary64) b) a) a (.f64 #s(literal -1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b))
(* 3 a)
(*.f64 #s(literal 3 binary64) a)
(* a (+ 3 (* 9/2 a)))
(*.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 3 binary64)) a)
(* a (+ 3 (* a (+ 9/2 (* 9/2 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) a #s(literal 9/2 binary64)) a #s(literal 3 binary64)) a)
(* a (+ 3 (* a (+ 9/2 (* a (+ 9/2 (* 27/8 a)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/8 binary64) a #s(literal 9/2 binary64)) a #s(literal 9/2 binary64)) a #s(literal 3 binary64)) a)
(* 6 a)
(*.f64 #s(literal 6 binary64) a)
(* a (+ 6 (* 12 a)))
(*.f64 (fma.f64 #s(literal 12 binary64) a #s(literal 6 binary64)) a)
(* a (+ 6 (* a (+ 12 (* 15 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 15 binary64) a #s(literal 12 binary64)) a #s(literal 6 binary64)) a)
(* a (+ 6 (* a (+ 12 (* a (+ 15 (* 14 a)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 14 binary64) a #s(literal 15 binary64)) a #s(literal 12 binary64)) a #s(literal 6 binary64)) a)
(+ (log (+ 1 (exp a))) (/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))))
(fma.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) a)) (expm1.f64 (.f64 #s(literal 2 binary64) a))) (/.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(+ 1 (+ (exp a) (pow (exp a) 2)))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) a)) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (/ (log 2) a)))
(*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a)
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(- (exp (* 3 a)) 1)
(expm1.f64 (*.f64 #s(literal 3 binary64) a))
(* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) a)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64)))
(+ (log (+ 1 (exp a))) (/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (neg (* -2 a))) 1))))
(fma.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) a)) (expm1.f64 (.f64 #s(literal 2 binary64) a))) (/.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(/ (* b (- (exp (* 3 a)) 1)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (neg (* -2 a))) 1)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) a)) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 a)) #s(literal 1/2 binary64)))
(* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (neg (* -2 a))) 1))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) a)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64)))
(+ (log (+ 1 (exp a))) (* b (- (/ (exp (* 3 a)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))) (/ 1 (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))))))
(fma.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) a)) (expm1.f64 (.f64 #s(literal 2 binary64) a))) (/.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 b))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(* b (- (/ (exp (* 3 a)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))) (/ 1 (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) a)) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 b (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64))))
(* b (- (+ (/ (exp (* 3 a)) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1))) (/ (log (+ 1 (exp a))) b)) (/ 1 (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))))
(.f64 (+.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) a)) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) a)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)
(* 1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/8 binary64))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)
(* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2)))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b) #s(literal 1/8 binary64)) (.f64 b b))
(* 1/8 b)
(*.f64 #s(literal 1/8 binary64) b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp (* 3 a)) 1) (* (+ 1 (+ (exp a) (pow (exp a) 2))) (- (exp (* 2 a)) 1)))))))
(.f64 (+.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) a)) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) a)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b)
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b) #s(literal 1/8 binary64)) (.f64 b b))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

rewrite121.0ms (1.3%)

Memory

5.9MiB live, 70.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	258
0	74	248
1	278	203
2	2391	190
0	10873	184

Stop Event

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

Counts

23 → 481

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
(/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(expm1.f64 (*.f64 a #s(literal 3 binary64)))
(*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp.f64 a)
(log1p.f64 (exp.f64 a))

Outputs
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (fabs.f64 (expm1.f64 a))) (-.f64 (.f64 (fabs.f64 (expm1.f64 a)) b) (log1p.f64 (exp.f64 a)))) (.f64 (-.f64 (.f64 (fabs.f64 (expm1.f64 a)) b) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (fabs.f64 (expm1.f64 a)) b) (log1p.f64 (exp.f64 a))) (-.f64 (*.f64 (fabs.f64 (expm1.f64 a)) b) (log1p.f64 (exp.f64 a)))))
(/.f64 (fma.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (fabs.f64 (expm1.f64 a))) (fma.f64 (.f64 b b) (fabs.f64 (expm1.f64 a)) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (.f64 (fabs.f64 (expm1.f64 a)) b)))) (.f64 (fma.f64 (.f64 b b) (fabs.f64 (expm1.f64 a)) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (.f64 (fabs.f64 (expm1.f64 a)) b)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 b b) (fabs.f64 (expm1.f64 a)) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (.f64 (fabs.f64 (expm1.f64 a)) b)))) (fma.f64 (.f64 b b) (fabs.f64 (expm1.f64 a)) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (fabs.f64 (expm1.f64 a)) b))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (fabs.f64 (expm1.f64 a)))) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (fabs.f64 (expm1.f64 a)) b)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) (fabs.f64 (expm1.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fabs.f64 (expm1.f64 a)) b) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fabs.f64 (expm1.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 b b) (fabs.f64 (expm1.f64 a)) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (fabs.f64 (expm1.f64 a)) b))))))
(/.f64 (-.f64 (.f64 (.f64 b b) (fabs.f64 (expm1.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (*.f64 (fabs.f64 (expm1.f64 a)) b) (log1p.f64 (exp.f64 a))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fabs.f64 (expm1.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 b b) (fabs.f64 (expm1.f64 a))) (.f64 (log1p.f64 (exp.f64 a)) (.f64 (fabs.f64 (expm1.f64 a)) b)))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fabs.f64 (expm1.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (.f64 b b) (fabs.f64 (expm1.f64 a)) (.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (fabs.f64 (expm1.f64 a)) b)))))
(fma.f64 (/.f64 (*.f64 (fabs.f64 (expm1.f64 a)) b) (-.f64 (expm1.f64 a) (exp.f64 a))) (-.f64 (expm1.f64 a) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (fma.f64 (expm1.f64 a) (exp.f64 a) #s(literal 1 binary64))) (fabs.f64 (expm1.f64 a)) (log1p.f64 (exp.f64 a)))
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(expm1.f64 (*.f64 a #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) a))
(expm1.f64 (*.f64 a #s(literal 4 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) a))
(expm1.f64 a)
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(fma.f64 (.f64 (expm1.f64 a) (exp.f64 a)) (exp.f64 a) (.f64 (expm1.f64 a) #s(literal 1 binary64)))
(fma.f64 (*.f64 (expm1.f64 a) (exp.f64 a)) (exp.f64 a) (expm1.f64 a))
(fma.f64 (expm1.f64 a) (fma.f64 (expm1.f64 a) (exp.f64 a) #s(literal 1 binary64)) (*.f64 (expm1.f64 a) (exp.f64 a)))
(fma.f64 (expm1.f64 a) (fabs.f64 (expm1.f64 a)) (*.f64 (expm1.f64 a) (exp.f64 a)))
(fma.f64 (expm1.f64 a) #s(literal 1 binary64) (*.f64 (expm1.f64 a) (exp.f64 a)))
(fma.f64 (expm1.f64 a) (exp.f64 a) (*.f64 #s(literal 1 binary64) (expm1.f64 a)))
(fma.f64 (expm1.f64 a) (exp.f64 a) (*.f64 (expm1.f64 a) #s(literal 1 binary64)))
(fma.f64 (expm1.f64 a) (exp.f64 a) (expm1.f64 a))
(fma.f64 (fma.f64 (expm1.f64 a) (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 a) (*.f64 (expm1.f64 a) (exp.f64 a)))
(fma.f64 (fabs.f64 (expm1.f64 a)) (expm1.f64 a) (*.f64 (expm1.f64 a) (exp.f64 a)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 a) (*.f64 (expm1.f64 a) (exp.f64 a)))
(fma.f64 (exp.f64 a) (.f64 (expm1.f64 a) (exp.f64 a)) (.f64 #s(literal 1 binary64) (expm1.f64 a)))
(fma.f64 (exp.f64 a) (.f64 (expm1.f64 a) (exp.f64 a)) (.f64 (expm1.f64 a) #s(literal 1 binary64)))
(fma.f64 (exp.f64 a) (*.f64 (expm1.f64 a) (exp.f64 a)) (expm1.f64 a))
(fma.f64 (exp.f64 a) (expm1.f64 a) (*.f64 #s(literal 1 binary64) (expm1.f64 a)))
(fma.f64 (exp.f64 a) (expm1.f64 a) (*.f64 (expm1.f64 a) #s(literal 1 binary64)))
(fma.f64 (exp.f64 a) (expm1.f64 a) (expm1.f64 a))
(expm1.f64 (/.f64 a #s(literal 2 binary64)))
(expm1.f64 (*.f64 a #s(literal 3/2 binary64)))
(expm1.f64 (*.f64 a #s(literal 9 binary64)))
(expm1.f64 (*.f64 a #s(literal 6 binary64)))
(expm1.f64 (*.f64 a #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) a))
(expm1.f64 (*.f64 a #s(literal 4 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) a))
(expm1.f64 a)
(-.f64 (/.f64 (exp.f64 a) (fabs.f64 (expm1.f64 a))) (pow.f64 (fabs.f64 (expm1.f64 a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 a) (fma.f64 (expm1.f64 a) (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (fma.f64 (expm1.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 (expm1.f64 a) (exp.f64 a)) (.f64 (+.f64 #s(literal -1 binary64) (exp.f64 a)) (expm1.f64 a)))
(-.f64 (*.f64 (expm1.f64 a) (exp.f64 a)) (neg.f64 (expm1.f64 a)))
(-.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (expm1.f64 a)) (.f64 (expm1.f64 a) (exp.f64 a)))
(+.f64 (.f64 (expm1.f64 a) #s(literal 1 binary64)) (.f64 (expm1.f64 a) (exp.f64 a)))
(+.f64 (.f64 (expm1.f64 a) (exp.f64 a)) (.f64 #s(literal 1 binary64) (expm1.f64 a)))
(+.f64 (.f64 (expm1.f64 a) (exp.f64 a)) (.f64 (expm1.f64 a) #s(literal 1 binary64)))
(+.f64 (*.f64 (expm1.f64 a) (exp.f64 a)) (expm1.f64 a))
(+.f64 (expm1.f64 a) (*.f64 (expm1.f64 a) (exp.f64 a)))
(+.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 a)) #s(literal 3 binary64)))
(*.f64 (exp.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))) (exp.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (exp.f64 a))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 (exp.f64 a) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 (exp.f64 a) (exp.f64 a))
(pow.f64 (*.f64 (exp.f64 #s(literal 3 binary64)) (exp.f64 #s(literal 3 binary64))) a)
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) a)
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 a #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) a)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) a)
(pow.f64 (exp.f64 a) #s(literal 8 binary64))
(pow.f64 (exp.f64 a) #s(literal 9/2 binary64))
(pow.f64 (exp.f64 a) #s(literal 18 binary64))
(pow.f64 (exp.f64 a) #s(literal 12 binary64))
(pow.f64 (exp.f64 a) #s(literal 27 binary64))
(pow.f64 (exp.f64 a) #s(literal 3/2 binary64))
(pow.f64 (exp.f64 a) #s(literal 4 binary64))
(pow.f64 (exp.f64 a) #s(literal 6 binary64))
(pow.f64 (exp.f64 a) #s(literal 9 binary64))
(pow.f64 (exp.f64 a) #s(literal 2 binary64))
(pow.f64 (exp.f64 a) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) #s(literal 3 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 (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 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (fabs.f64 (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 (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (sqrt.f64 (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 (pow.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (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)))) #s(literal 3 binary64)))
(/.f64 (exp.f64 (/.f64 (.f64 a a) #s(literal 0 binary64))) (exp.f64 (/.f64 (.f64 a a) #s(literal 0 binary64))))
(/.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 #s(literal 1 binary64) (fabs.f64 (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(neg.f64 (exp.f64 a))
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 a) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 a) (exp.f64 a) (*.f64 (sinh.f64 a) (exp.f64 a)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 a) (cosh.f64 a)) (cosh.f64 a))
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 a)))
(fma.f64 (exp.f64 a) (cosh.f64 a) (*.f64 (exp.f64 a) (sinh.f64 a)))
(sqrt.f64 (exp.f64 a))
(fabs.f64 (exp.f64 a))
(+.f64 (neg.f64 (cosh.f64 a)) (sinh.f64 (neg.f64 a)))
(+.f64 (.f64 (cosh.f64 a) #s(literal 1 binary64)) (.f64 (sinh.f64 a) #s(literal 1 binary64)))
(+.f64 (.f64 (cosh.f64 a) (exp.f64 a)) (.f64 (sinh.f64 a) (exp.f64 a)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 a)) (.f64 #s(literal 1 binary64) (sinh.f64 a)))
(+.f64 (.f64 (exp.f64 a) (cosh.f64 a)) (.f64 (exp.f64 a) (sinh.f64 a)))
(+.f64 (sinh.f64 a) (cosh.f64 a))
(+.f64 (cosh.f64 a) (sinh.f64 a))
(exp.f64 (/.f64 a #s(literal 2 binary64)))
(exp.f64 (*.f64 a #s(literal 3/2 binary64)))
(exp.f64 (*.f64 a #s(literal 9 binary64)))
(exp.f64 (*.f64 a #s(literal 6 binary64)))
(exp.f64 (*.f64 a #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) a))
(exp.f64 (*.f64 a #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) a))
(exp.f64 a)
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (neg.f64 (fma.f64 (expm1.f64 a) (exp.f64 a) #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (+.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 a))) (log.f64 (neg.f64 (expm1.f64 a))))
(-.f64 (log.f64 (expm1.f64 a)) (log.f64 (expm1.f64 a)))
(-.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 a))))
(-.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) #s(literal 0 binary64))
(log.f64 (fabs.f64 (expm1.f64 a)))

eval91.0ms (1%)

Memory: -0.7MiB live, 92.9MiB allocated
Compiler: Compiled 26 013 to 3 458 computations (86.7% saved)

prune24.0ms (0.3%)

Memory

8.8MiB live, 40.4MiB allocated

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	694	8	702
Fresh	1	7	8
Picked	1	4	5
Done	1	5	6
Total	697	24	721

Accuracy

99.7%

Counts

721 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	51.2%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	51.0%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	50.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	98.6%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 a)) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
	98.3%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fabs.f64 (expm1.f64 a)) b (log1p.f64 (exp.f64 a))))
▶	98.8%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))
	50.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) #s(approx (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a)))) (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))))
▶	48.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
✓	56.6%	#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
✓	48.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	49.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	46.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	47.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	47.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	47.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓	47.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	12.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
	5.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
	47.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
▶	47.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	47.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
▶	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Compiler

Compiled 828 to 628 computations (24.2% saved)

simplify120.0ms (1.3%)

Memory

10.8MiB live, 71.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (exp.f64 a) #s(literal 1 binary64))
cost-diff	0	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff	0	(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
cost-diff	0	(+.f64 #s(literal 1 binary64) a)
cost-diff	0	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
cost-diff	0	(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) a)
cost-diff	0	#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
cost-diff	0	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
cost-diff	0	(*.f64 (expm1.f64 a) b)
cost-diff	0	(+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))
cost-diff	6	(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	235
0	63	229
1	88	229
2	145	221
3	314	217
4	1018	217
5	6743	217
0	8093	214

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a))
(*.f64 (expm1.f64 a) b)
(expm1.f64 a)
a
b
(log1p.f64 (exp.f64 a))
(exp.f64 a)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
a
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
b
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 a)
a
#s(literal 1 binary64)
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) b))
(+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) b)
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a))
b
(*.f64 (expm1.f64 a) b)
(expm1.f64 a)
a
b
(log1p.f64 (exp.f64 a))
(exp.f64 a)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(literal 1/8 binary64)
a
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(exp.f64 a)
a
#s(literal 1 binary64)
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))

localize138.0ms (1.5%)

Memory

20.3MiB live, 119.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.9830149956417769	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
accuracy	32.64987313927119	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	32.23466953509526	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
accuracy	32.71766009120447	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) a)
accuracy	0.0	(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
accuracy	32.23466953509526	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
accuracy	32.749351430577356	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	30.142965755051726	#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
accuracy	32.23466953509526	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
accuracy	32.73332680738437	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
accuracy	0.00390625	(+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))
accuracy	0.00390625	(*.f64 (expm1.f64 a) b)
accuracy	0.7724067010374234	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))
accuracy	14.27011850255059	(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a))

Samples

44.0ms	76×	1	valid
38.0ms	48×	2	valid
28.0ms	132×	0	valid

Compiler

Compiled 167 to 28 computations (83.2% saved)

Precisions

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

ival-log: 22.0ms (27.1% of total)

adjust: 19.0ms (23.4% of total)

ival-exp: 12.0ms (14.8% of total)

ival-add: 11.0ms (13.5% of total)

ival-mult: 7.0ms (8.6% of total)

ival-div: 5.0ms (6.2% of total)

ival-expm1: 2.0ms (2.5% of total)

ival-log1p: 2.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series114.0ms (1.3%)

Memory

-2.7MiB live, 92.5MiB allocated

Counts

23 → 60

Calls

Call 1

Inputs
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))
(*.f64 (expm1.f64 a) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) a)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (exp a) #s(literal 1 binary64))
(exp.f64 a)

Outputs
b
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ b (log 2))
(+ b (+ (log 2) (* 1/2 a)))
(+ b (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))
(+ b (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))
(* a b)
(* a (+ b (* 1/2 (* a b))))
(* a (+ b (* a (+ (* 1/6 (* a b)) (* 1/2 b)))))
(* a (+ b (* a (+ (* 1/2 b) (* a (+ (* 1/24 (* a b)) (* 1/6 b)))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(* 1/2 a)
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1/2
(+ 1/2 (* 1/8 a))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log (+ (exp a) (exp b)))
(+ b (log (+ 1 (exp a))))
(* b (- (exp a) 1))
(log (+ 1 (exp a)))
(* a (+ 1/2 (/ (log 2) a)))
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(* b (+ 1 (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) 1)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	b	@	0	((/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ (exp a) (exp b))) (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (* (- (exp a) 1) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log 2) (exp a) (exp a))
26.0ms	a	@	-inf	((/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ (exp a) (exp b))) (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (* (- (exp a) 1) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log 2) (exp a) (exp a))
15.0ms	a	@	inf	((/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ (exp a) (exp b))) (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (* (- (exp a) 1) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log 2) (exp a) (exp a))
10.0ms	a	@	0	((/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ (exp a) (exp b))) (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (* (- (exp a) 1) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log 2) (exp a) (exp a))
8.0ms	b	@	-inf	((/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ (exp a) (exp b))) (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (* (- (exp a) 1) b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log 2) (exp a) (exp a))

simplify170.0ms (1.9%)

Memory

-13.9MiB live, 88.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	705
1	685	676
2	2486	661
3	7439	661
0	8014	570

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

Inputs
b
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ b (log 2))
(+ b (+ (log 2) (* 1/2 a)))
(+ b (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))
(+ b (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))
(* a b)
(* a (+ b (* 1/2 (* a b))))
(* a (+ b (* a (+ (* 1/6 (* a b)) (* 1/2 b)))))
(* a (+ b (* a (+ (* 1/2 b) (* a (+ (* 1/24 (* a b)) (* 1/6 b)))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(* 1/2 a)
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1/2
(+ 1/2 (* 1/8 a))
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log (+ (exp a) (exp b)))
(+ b (log (+ 1 (exp a))))
(* b (- (exp a) 1))
(log (+ 1 (exp a)))
(* a (+ 1/2 (/ (log 2) a)))
(exp a)
a
(* a (+ 1 (/ 1 a)))
(* 1/8 (pow a 2))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(* 1/8 a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(* b (+ 1 (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) 1)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))

Outputs
b
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (-.f64 (/.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 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.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)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ b (log 2))
(+.f64 (log.f64 #s(literal 2 binary64)) b)
(+ b (+ (log 2) (* 1/2 a)))
(fma.f64 #s(literal 1/2 binary64) a (+.f64 (log.f64 #s(literal 2 binary64)) b))
(+ b (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (+.f64 (log.f64 #s(literal 2 binary64)) b))
(+ b (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (+.f64 (log.f64 #s(literal 2 binary64)) b))
(* a b)
(*.f64 b a)
(* a (+ b (* 1/2 (* a b))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) b) a)
(* a (+ b (* a (+ (* 1/6 (* a b)) (* 1/2 b)))))
(.f64 (.f64 b (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))) a)
(* a (+ b (* a (+ (* 1/2 b) (* a (+ (* 1/24 (* a b)) (* 1/6 b)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) a #s(literal 1/6 binary64)) b) a (*.f64 #s(literal 1/2 binary64) b)) a b) a)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/48 binary64) b) a) a (.f64 #s(literal -1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) 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))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ b (log (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) b)
(* b (- (exp a) 1))
(*.f64 (expm1.f64 a) b)
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(* a (+ 1/2 (/ (log 2) a)))
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(-.f64 a #s(literal -1 binary64))
(* 1/8 (pow a 2))
(.f64 (.f64 a a) #s(literal 1/8 binary64))
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a)
(* 1/8 a)
(*.f64 #s(literal 1/8 binary64) a)
(* a (+ 1/8 (* 1/2 (/ 1 a))))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 a)) #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a))))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a)
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b) #s(literal 1/6 binary64) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(* b (+ 1 (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) (/.f64 b b) b)
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) (/.f64 b b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

rewrite178.0ms (2%)

Memory

11.4MiB live, 138.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	210
0	63	210
1	219	210
2	1619	210
0	8418	205

Stop Event

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

Counts

23 → 301

Calls

Call 1

Inputs
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))
(*.f64 (expm1.f64 a) b)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) a)
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
(+.f64 #s(literal 1 binary64) a)
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (exp a) #s(literal 1 binary64))
(exp.f64 a)

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

eval52.0ms (0.6%)

Memory: 2.0MiB live, 60.7MiB allocated
Compiler: Compiled 14 273 to 1 850 computations (87% saved)

prune21.0ms (0.2%)

Memory

4.3MiB live, 34.2MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	373	5	378
Fresh	4	6	10
Picked	2	3	5
Done	4	5	9
Total	383	19	402

Accuracy

99.7%

Counts

402 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	49.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	47.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	46.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	47.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	98.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log1p.f64 (exp.f64 a)) b)))
	48.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 #s(literal 2 binary64)) b)))
	98.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 1 binary64)))))
	47.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	47.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓	47.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	12.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
	5.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
	47.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	47.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	47.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
	2.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
	3.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
✓	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Compiler

Compiled 1 156 to 521 computations (54.9% saved)

regimes44.0ms (0.5%)

Memory

-30.4MiB live, 43.0MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log1p.f64 (exp.f64 a)) b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fabs.f64 (expm1.f64 a)) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) #s(approx (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a)))) (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 a)) (expm1.f64 a) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 (.f64 b (expm1.f64 (.f64 a #s(literal 3 binary64)))) (*.f64 (expm1.f64 (+.f64 a a)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a))))

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

Calls

6 calls:

11.0ms	b
8.0ms	a
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes26.0ms (0.3%)

Memory

-3.2MiB live, 28.4MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))

#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Calls

6 calls:

5.0ms	b
5.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
56.3%	2	`(exp.f64 a)`
49.6%	1	`(exp.f64 b)`
56.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.3%	2	`a`
49.6%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes15.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))

#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))

Calls

4 calls:

5.0ms	a
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
55.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
55.9%	2	`(exp.f64 a)`
55.9%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.2%)

Memory

-15.0MiB live, 16.6MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 #s(literal 2 binary64)) b)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* b (- (exp (* a 3)) 1)) (* (- (exp (+ a a)) 1) (+ (* (exp a) (exp a)) (+ 1 (exp a))))) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
55.8%	2	`(exp.f64 a)`
55.8%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))

#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.3%	2	`(exp.f64 a)`
55.3%	2	`a`
55.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
12.0%	1	`(exp.f64 b)`
12.0%	1	`b`
12.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.0%	1	`(exp.f64 a)`
12.0%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes10.0ms (0.1%)

Memory

-21.1MiB live, 12.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
5.3%	1	`b`
5.3%	1	`a`
5.3%	1	`(exp.f64 b)`
5.3%	1	`(exp.f64 a)`
5.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
5.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes7.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64)))))

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))

Calls

6 calls:

1.0ms	b
1.0ms	a
1.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
3.1%	1	`a`
3.1%	1	`b`
3.1%	1	`(exp.f64 a)`
3.1%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
3.1%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
3.1%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	b
1.0ms	a
1.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
2.6%	1	`(exp.f64 b)`
2.6%	1	`(exp.f64 a)`
2.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.6%	1	`a`
2.6%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch52.0ms (0.6%)

Memory

-29.4MiB live, 33.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-48121423063818.77	-89.56472716095811

Samples

27.0ms	68×	2	valid
15.0ms	88×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 409 to 361 computations (11.7% saved)

Precisions

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

ival-log: 19.0ms (52% of total)

ival-exp: 13.0ms (35.6% of total)

adjust: 3.0ms (8.2% of total)

ival-add: 2.0ms (5.5% of total)

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

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

bsearch13.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-89.56472716095811	-0.056647875410299614

Samples

7.0ms

128×

valid

Compiler

Compiled 457 to 379 computations (17.1% saved)

Precisions

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

ival-exp: 2.0ms (47.2% of total)

ival-add: 1.0ms (23.6% of total)

ival-log: 1.0ms (23.6% of total)

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

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.30203235404000933	0.6652243119566826

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch20.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-48121423063818.77	-89.56472716095811

Samples

14.0ms	93×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 429 to 371 computations (13.5% saved)

Precisions

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

ival-exp: 6.0ms (53% of total)

ival-log: 4.0ms (35.3% of total)

ival-add: 1.0ms (8.8% of total)

adjust: 1.0ms (8.8% of total)

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

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

simplify39.0ms (0.4%)

Memory

2.5MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	359
1	107	359
2	183	343
3	422	339
4	1258	339

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log1p.f64 (exp.f64 a)) b)))
(if (<=.f64 a #s(literal -640 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ ( (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 #s(literal 2 binary64)) b))))
(if (<=.f64 a #s(literal -120 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ (* (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log1p.f64 (exp.f64 a)) b)))
(if (<=.f64 a #s(literal -640 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1/2 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ ( (- (exp a) 1) b) (- (exp a) 1)) (log (+ 1 (exp a)))) (+.f64 (log.f64 #s(literal 2 binary64)) b))))
(if (<=.f64 a #s(literal -120 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

soundness1.5s (16.2%)

Memory

-11.5MiB live, 404.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	1215
1	1096	1126
2	3735	1101
0	8131	926
0	45	258
0	74	248
1	278	203
2	2391	190
0	10873	184
0	204	705
1	685	676
2	2486	661
3	7439	661
0	8014	570
0	185	622
1	610	599
2	2332	588
0	8405	504
0	27	129
0	45	129
1	169	129
2	1306	129
0	8641	129
0	99	370
1	317	370
2	1186	366
3	5037	366
0	8217	320

Stop Event

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

Compiler

Compiled 455 to 218 computations (52.1% saved)

preprocess52.0ms (0.6%)

Memory: -1.1MiB live, 60.6MiB allocated
Compiler: Compiled 790 to 218 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze129.0ms (1.4%)

sample4.0s (44.5%)

explain132.0ms (1.5%)

preprocess141.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify98.0ms (1.1%)

localize50.0ms (0.6%)

series94.0ms (1.1%)

simplify123.0ms (1.4%)

rewrite162.0ms (1.8%)

eval35.0ms (0.4%)

prune7.0ms (0.1%)

simplify110.0ms (1.2%)

localize96.0ms (1.1%)

series116.0ms (1.3%)

simplify125.0ms (1.4%)

rewrite178.0ms (2%)

eval48.0ms (0.5%)

prune33.0ms (0.4%)

simplify119.0ms (1.3%)

localize181.0ms (2%)

series79.0ms (0.9%)

simplify124.0ms (1.4%)

rewrite121.0ms (1.3%)

eval91.0ms (1%)

prune24.0ms (0.3%)

simplify120.0ms (1.3%)

localize138.0ms (1.5%)

series114.0ms (1.3%)

simplify170.0ms (1.9%)

rewrite178.0ms (2%)

eval52.0ms (0.6%)

prune21.0ms (0.2%)

regimes44.0ms (0.5%)

regimes26.0ms (0.3%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch52.0ms (0.6%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

simplify39.0ms (0.4%)

soundness1.5s (16.2%)

preprocess52.0ms (0.6%)

end0.0ms (0%)

Profiling