Metrics for symmetry log of sum of exp

start0.0ms (0%)

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

analyze132.0ms (1.2%)

Memory

23.0MiB live, 162.5MiB allocated; 17ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
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)

sample5.4s (50.5%)

Memory

151.5MiB live, 5 290.8MiB allocated; 1.3s collecting garbage

Samples

2.8s	7 734×	5	exit
805.0ms	1 602×	2	valid
540.0ms	2 307×	1	valid
246.0ms	4 347×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-exp: 1.2s (33.8% of total)

ival-log: 1.1s (32.2% of total)

adjust: 878.0ms (25.1% of total)

ival-add: 293.0ms (8.4% of total)

ival-true: 14.0ms (0.4% of total)

ival-assert: 8.0ms (0.2% of total)

Bogosity

explain446.0ms (4.2%)

Memory

-58.6MiB live, 181.6MiB allocated; 639ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
143	-	-	`(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	141	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	1	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	1
↳	`(exp.f64 a)`	overflow	1
`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	76
↳	`(exp.f64 b)`	underflow	68

Confusion

	Predicted +	Predicted -
+	143	0
-	0	113

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	143	0	0
-	0	0	113

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	113
1	143

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms	146×	2	valid
26.0ms	130×	1	valid
14.0ms	236×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-log: 52.0ms (53.6% of total)

ival-exp: 31.0ms (32% of total)

adjust: 8.0ms (8.2% of total)

ival-add: 5.0ms (5.2% of total)

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

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

preprocess167.0ms (1.6%)

Memory

29.0MiB live, 164.9MiB allocated; 52ms collecting garbage

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify114.0ms (1.1%)

Memory

-9.0MiB live, 135.9MiB allocated; 16ms collecting garbage

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

localize65.0ms (0.6%)

Memory

17.5MiB live, 63.5MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	32.56586843150587	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

36.0ms	73×	2	valid
15.0ms	65×	1	valid
7.0ms	118×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-log: 24.0ms (49.8% of total)

ival-exp: 17.0ms (35.3% of total)

adjust: 4.0ms (8.3% of total)

ival-add: 2.0ms (4.1% of total)

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

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

series94.0ms (0.9%)

Memory

-5.6MiB live, 84.0MiB allocated; 11ms collecting garbage

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
30.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
29.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
21.0ms	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))

simplify139.0ms (1.3%)

Memory

19.5MiB live, 156.4MiB allocated; 22ms collecting garbage

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)

rewrite206.0ms (1.9%)

Memory

-37.5MiB live, 152.4MiB allocated; 18ms collecting garbage

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))
(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 (/.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))
(*.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))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal 2 binary64)))
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(exp.f64 b)
(+.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b)))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) b)) (.f64 (sinh.f64 b) (cosh.f64 b)))))
(+.f64 (sinh.f64 b) (cosh.f64 b))
(+.f64 (cosh.f64 b) (sinh.f64 b))

eval34.0ms (0.3%)

Memory: 21.4MiB live, 66.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 882 to 1 233 computations (84.4% saved)

prune10.0ms (0.1%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	281	9	290
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	281	10	291

Accuracy

100.0%

Counts

291 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.1%	(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
✓	49.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	48.8%	(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)))))
▶	48.4%	(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)))))
	47.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	45.4%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶	99.8%	#s(approx (log (+ (exp a) (exp b))) (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))))
▶	99.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	45.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	45.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 290 to 218 computations (24.8% saved)

simplify123.0ms (1.1%)

Memory

-8.1MiB live, 136.9MiB allocated; 32ms collecting garbage

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	282
0	57	282
1	82	282
2	176	282
3	514	282
4	2387	282
0	8228	282

Stop Event

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

Calls

Call 1

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

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

localize216.0ms (2%)

Memory

-2.3MiB live, 188.0MiB allocated; 13ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.015625	(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
accuracy	0.564691564932345	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
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	0.9369987374160655	#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
accuracy	32.56586843150587	(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 b)
accuracy	0.0078125	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
accuracy	32.56586843150587	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
accuracy	35.132814999671105	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.0	(log1p.f64 (exp.f64 a))
accuracy	0.0	(exp.f64 a)
accuracy	34.951223580589364	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.01171875	(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)))
accuracy	0.021816259768442016	(-.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))))
accuracy	0.101562650818705	#s(approx (log (+ (exp a) (exp b))) (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))))

Samples

126.0ms	143×	2	valid
66.0ms	113×	0	valid

Compiler

Compiled 224 to 27 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-add: 32.0ms (19.8% of total)

ival-log: 29.0ms (18% of total)

adjust: 27.0ms (16.7% of total)

ival-sub: 19.0ms (11.8% of total)

ival-exp: 16.0ms (9.9% of total)

exact: 11.0ms (6.8% of total)

ival-div: 10.0ms (6.2% of total)

ival-mult: 10.0ms (6.2% of total)

ival-pow2: 5.0ms (3.1% of total)

ival-log1p: 2.0ms (1.2% of total)

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

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

series104.0ms (1%)

Memory

1.8MiB live, 139.0MiB allocated; 18ms collecting garbage

Counts

20 → 72

Calls

Call 1

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

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) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 b)))))
(+ 1/2 (* 1/8 b))
(+ 1/2 (+ (* -1/4 a) (* 1/8 b)))
(+ 1/2 (+ (* 1/8 b) (* a (- (* -1/32 (* a b)) 1/4))))
(+ 1/2 (+ (* 1/8 b) (* a (- (* a (+ (* -1/32 b) (* 1/48 a))) 1/4))))
(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 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))))))
1/4
(+ 1/4 (* -1/16 (pow a 2)))
(+ 1/4 (* (pow a 2) (- (* 1/96 (pow a 2)) 1/16)))
(+ 1/4 (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -17/11520 (pow a 2)))) 1/16)))
1/2
(+ 1/2 (* -1/4 a))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(log (+ (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))))))
(+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))
(/ 1 (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))
(* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(exp b)
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))
(* -1 (* b (- (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a)))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2))) (/ 1 (+ (exp a) 1)))
24.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2))) (/ 1 (+ (exp a) 1)))
22.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2))) (/ 1 (+ (exp a) 1)))
14.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2))) (/ 1 (+ (exp a) 1)))
10.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2))) (/ 1 (+ (exp a) 1)))

simplify250.0ms (2.3%)

Memory

-14.7MiB live, 170.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	1060
1	872	1037
2	3160	1019
0	8549	895

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 b)))))
(+ 1/2 (* 1/8 b))
(+ 1/2 (+ (* -1/4 a) (* 1/8 b)))
(+ 1/2 (+ (* 1/8 b) (* a (- (* -1/32 (* a b)) 1/4))))
(+ 1/2 (+ (* 1/8 b) (* a (- (* a (+ (* -1/32 b) (* 1/48 a))) 1/4))))
(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 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))))))
1/4
(+ 1/4 (* -1/16 (pow a 2)))
(+ 1/4 (* (pow a 2) (- (* 1/96 (pow a 2)) 1/16)))
(+ 1/4 (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -17/11520 (pow a 2)))) 1/16)))
1/2
(+ 1/2 (* -1/4 a))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(log (+ (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))))))
(+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))
(/ 1 (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))
(* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(exp b)
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))
(* -1 (* b (- (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a)))))))
(* -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) (* 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) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/32 binary64) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 b)))))
(fma.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal 1/48 binary64) a (*.f64 #s(literal -1/32 binary64) b)) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ 1/2 (* 1/8 b))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/4 a) (* 1/8 b)))
(fma.f64 #s(literal -1/4 binary64) a (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/8 b) (* a (- (* -1/32 (* a b)) 1/4))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/32 binary64) b) a) #s(literal 1/4 binary64)) a (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/8 b) (* a (- (* a (+ (* -1/32 b) (* 1/48 a))) 1/4))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) a (.f64 #s(literal -1/32 binary64) b)) a) #s(literal 1/4 binary64)) a (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 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 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 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) 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))))
(* 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 (fma.f64 (.f64 (.f64 b a) #s(literal 1/48 binary64)) 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))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (pow a 2)))
(fma.f64 #s(literal -1/16 binary64) (*.f64 a a) #s(literal 1/4 binary64))
(+ 1/4 (* (pow a 2) (- (* 1/96 (pow a 2)) 1/16)))
(fma.f64 (-.f64 (.f64 #s(literal 1/96 binary64) (.f64 a a)) #s(literal 1/16 binary64)) (*.f64 a a) #s(literal 1/4 binary64))
(+ 1/4 (* (pow a 2) (- (* (pow a 2) (+ 1/96 (* -17/11520 (pow a 2)))) 1/16)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/11520 binary64) (.f64 a a) #s(literal 1/96 binary64)) a) a) #s(literal 1/16 binary64)) (.f64 a a) #s(literal 1/4 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 a))
(fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(fma.f64 (-.f64 (.f64 (.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 a a) #s(literal 1/48 binary64)) a) a) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64))
(log (+ (exp a) (exp b)))
(log.f64 (+.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)))
(+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(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))))
(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 (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 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))
(-.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))))
(/ 1 (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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)))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 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))
(* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) b) b) (-.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)))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) b) b) (-.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 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))
(.f64 b (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)))) #s(literal 1/2 binary64) (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(.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))
(* b (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(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))))
(exp b)
(exp.f64 b)
(* 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))))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))
(.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)))) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 b))) (.f64 b b))
(* -1 (* b (- (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a)))))))
(.f64 (neg.f64 b) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (exp.f64 a) 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)))))

rewrite191.0ms (1.8%)

Memory

27.8MiB live, 216.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	226
0	57	218
1	222	218
2	1833	210
0	8255	210

Stop Event

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

Counts

20 → 339

Calls

Call 1

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

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

eval248.0ms (2.3%)

Memory: -23.0MiB live, 163.7MiB allocated; 25ms collecting garbage
Compiler: Compiled 32 824 to 3 410 computations (89.6% saved)

prune26.0ms (0.2%)

Memory

11.4MiB live, 58.1MiB allocated; 2ms collecting garbage

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	802	11	813
Fresh	1	3	4
Picked	2	3	5
Done	0	1	1
Total	805	18	823

Accuracy

100.0%

Counts

823 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	48.8%	(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)))))
✓	48.4%	(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)))))
▶	47.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	44.5%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	99.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	44.9%	#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)))))
	44.8%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
▶	53.7%	#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))))
	45.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	45.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	41.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	43.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
▶	44.7%	#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)))))
▶	45.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	43.2%	#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)))))
	43.1%	#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)))))
	43.2%	#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 597 to 447 computations (25.1% saved)

simplify111.0ms (1%)

Memory

6.6MiB live, 99.8MiB allocated; 12ms collecting garbage

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	267
0	63	267
1	92	267
2	186	267
3	513	267
4	2326	267
0	8242	263

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (1.6%)

Memory

29.3MiB live, 261.4MiB allocated; 22ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	1.4530874231467081	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	32.56586843150587	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
accuracy	0.101562650818705	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
accuracy	34.89389144400431	#s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (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	0.0234375	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
accuracy	0.564691564932345	#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)))))
accuracy	34.83362605099694	#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
accuracy	0.0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	34.951223580589364	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	35.132814999671105	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.0	(exp.f64 a)
accuracy	0.015625	(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
accuracy	0.564691564932345	#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	29.50550555892645	#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))

Samples

85.0ms	73×	2	valid
43.0ms	67×	1	valid
25.0ms	116×	0	valid

Compiler

Compiled 164 to 32 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-log: 37.0ms (29% of total)

adjust: 27.0ms (21.2% of total)

ival-add: 17.0ms (13.3% of total)

ival-exp: 16.0ms (12.6% of total)

ival-mult: 10.0ms (7.8% of total)

ival-div: 9.0ms (7.1% of total)

ival-pow2: 7.0ms (5.5% of total)

ival-sub: 2.0ms (1.6% of total)

ival-log1p: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series80.0ms (0.7%)

Memory

-6.8MiB live, 143.1MiB allocated; 28ms collecting garbage

Counts

19 → 60

Calls

Call 1

Inputs
#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(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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (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))
(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)
#s(approx (exp b) (+.f64 #s(literal 1 binary64) 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))))))
(+ (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))))
(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) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 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)))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (exp a) (exp b))
(+ (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))))))
1/2
(+ 1/2 (* 1/8 b))
(+ 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))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ 1/2 (/ (log 2) b)))
(* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))
(* 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))))
(exp b)
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
18.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
16.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
10.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
5.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))

simplify158.0ms (1.5%)

Memory

-16.9MiB live, 170.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	869
1	805	846
2	3020	824
0	8362	719

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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))))
(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) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 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)))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (exp a) (exp b))
(+ (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))))))
1/2
(+ 1/2 (* 1/8 b))
(+ 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))))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ 1/2 (/ (log 2) b)))
(* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))
(* 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))))
(exp b)
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))

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 -1/4 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))))
(* 1/2 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 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 b a)) a (.f64 #s(literal -1/4 binary64) 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) (* 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) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/32 binary64) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 b)))))
(fma.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal 1/48 binary64) a (*.f64 #s(literal -1/32 binary64) b)) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 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)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(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)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (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)))
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))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 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))
(* 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))))
(* b (+ 1/2 (/ (log 2) b)))
(*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)
(* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 (.f64 (*.f64 b b) #s(literal 1/2 binary64)) (-.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)))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(.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)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (exp.f64 a) b))) (.f64 b b))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))
(.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)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)) (.f64 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 b (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) b)) b #s(literal 1/2 binary64)))
(* 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))
(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)))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))
(.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)))) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 b))) (.f64 b b))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))
(*.f64 b (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) b)) b #s(literal 1/2 binary64)))

rewrite194.0ms (1.8%)

Memory

42.8MiB live, 155.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	243
0	63	239
1	267	239
2	2162	235
0	8982	231

Stop Event

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

Counts

19 → 120

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (-.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) (.f64 (-.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (-.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)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) (.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) #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)) #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b))) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
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(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))
(-.f64 (/.f64 (pow.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (-.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
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(+.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))
(+.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)
(*.f64 b #s(literal 1/2 binary64))
#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)))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))))
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(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 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))
#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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
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(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
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(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
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#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
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(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))) (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/16 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (.f64 b #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) b))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/8 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) b) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/16 binary64))))))
(+.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) b))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) (.f64 (-.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)))) (*.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)))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (.f64 (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))) (-.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) (/.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) (-.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(+.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (-.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.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(literal 1 binary64) (exp.f64 a))
(*.f64 (exp.f64 a) #s(literal 1 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 (+.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)))
(exp.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))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))

eval56.0ms (0.5%)

Memory: -29.8MiB live, 43.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 7 163 to 829 computations (88.4% saved)

prune12.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	0	9	9
Picked	0	5	5
Done	1	3	4
Total	185	19	204

Accuracy

100.0%

Counts

204 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	48.8%	(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)))))
✓	48.4%	(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)))))
✓	47.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	44.5%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	99.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	44.9%	#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)))))
	44.8%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
✓	53.7%	#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))))
	45.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	41.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	43.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
✓	44.7%	#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)))))
✓	45.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	12.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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))))
▶	5.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
▶	43.2%	#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)))))
	43.1%	#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)))))
	43.2%	#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 703 to 490 computations (30.3% saved)

simplify111.0ms (1%)

Memory

4.3MiB live, 138.8MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
cost-diff	0	(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)))
cost-diff	0	#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))))
cost-diff	0	#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)))))
cost-diff	0	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
cost-diff	0	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
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 (.f64 b b) #s(literal 1/8 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
cost-diff	0	#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)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(+.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))))
cost-diff	0	(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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	362
0	83	362
1	136	362
2	332	362
3	1022	362
4	3791	362
0	8531	344

Stop Event

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

Calls

Call 1

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

Outputs
(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)))))
(+.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))))
(exp.f64 a)
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)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
b
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))
(.f64 (.f64 b b) #s(literal 1/8 binary64))
(*.f64 b b)
b
#s(literal 1/8 binary64)
#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
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
(+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(+.f64 #s(literal 1 binary64) b)
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)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #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 (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 (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
(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)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(*.f64 a a)
a
#s(literal -1/192 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize317.0ms (2.9%)

Memory

13.5MiB live, 389.5MiB allocated; 146ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
accuracy	0.5335198499391653	(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	34.951223580589364	#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)))))
accuracy	35.132735858841315	#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))))
accuracy	0.0078125	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	1.4530874231467081	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	32.56586843150587	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	35.132814999671105	#s(approx (exp a) #s(literal 1 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	34.951223580589364	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
accuracy	35.207718992739004	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	0.0	(*.f64 b b)
accuracy	0.101562650818705	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
accuracy	34.89389144400431	#s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64))))
accuracy	60.992435666804944	#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
accuracy	0.0078125	(+.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))))
accuracy	0.6857043710384199	#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)))
accuracy	32.56586843150587	(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)))))

Samples

127.0ms	73×	2	valid
104.0ms	67×	1	valid
56.0ms	116×	0	valid

Compiler

Compiled 202 to 47 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

adjust: 85.0ms (34.7% of total)

ival-log: 37.0ms (15.1% of total)

ival-exp: 35.0ms (14.3% of total)

ival-mult: 31.0ms (12.7% of total)

ival-add: 26.0ms (10.6% of total)

const: 14.0ms (5.7% of total)

ival-div: 6.0ms (2.5% of total)

ival-pow2: 5.0ms (2% of total)

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

ival-log1p: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series85.0ms (0.8%)

Memory

-7.0MiB live, 91.2MiB allocated; 50ms collecting garbage

Counts

23 → 69

Calls

Call 1

Inputs
(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)))))
(+.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))))
(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 (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
#s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64))))
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))
(.f64 (.f64 b b) #s(literal 1/8 binary64))
#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)
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp a) #s(literal 1 binary64))
#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 (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 (+ 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))))
(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)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(*.f64 b b)
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 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))))))
(+ 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 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 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
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(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)))
a
(* a (+ 1 (/ 1 a)))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (log (+ 1 (exp a))) (/ b (+ 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))))))
(+ (log 2) (* 1/2 b))
(* 1/8 (pow b 2))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(pow b 2)
(exp b)
(* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (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)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (* b b) 1/8) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* b b) (+ (* (* a a) -1/192) 1/8))
21.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (* b b) 1/8) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* b b) (+ (* (* a a) -1/192) 1/8))
8.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (* b b) 1/8) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* b b) (+ (* (* a a) -1/192) 1/8))
8.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (* b b) 1/8) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* b b) (+ (* (* a a) -1/192) 1/8))
2.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (* (* b b) 1/8) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (+ (* 1/6 b) 1/2) b) 1) (* b b) (+ (* (* a a) -1/192) 1/8))

simplify165.0ms (1.5%)

Memory

1.8MiB live, 187.0MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	911
1	758	904
2	2719	884
0	8867	797

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 68

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 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 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
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(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)))
a
(* a (+ 1 (/ 1 a)))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (log (+ 1 (exp a))) (/ b (+ 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))))))
(+ (log 2) (* 1/2 b))
(* 1/8 (pow b 2))
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(pow b 2)
(exp b)
(* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (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)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))
(* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b))))

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)))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 a)
(-.f64 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))
(+ (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) (+ (* a (+ 1/2 (* -1/4 b))) (* b (+ 1/2 (* 1/8 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (* -1/32 (pow b 2))))))) (* b (+ 1/2 (* 1/8 b)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/32 binary64) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/4 b) (* a (+ 1/8 (+ (* -1/32 (pow b 2)) (* 1/48 (* a b)))))))) (* b (+ 1/2 (* 1/8 b)))))
(fma.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal 1/48 binary64) a (*.f64 #s(literal -1/32 binary64) b)) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #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)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 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))) (* 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)))
(log1p.f64 (exp.f64 a))
a
(* a (+ 1 (/ 1 a)))
(-.f64 a #s(literal -1 binary64))
(* -1/192 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/192 binary64))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* -1/192 (pow a 3))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/192 binary64))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #s(literal 1/192 binary64)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) a) a)
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 a)) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a a)) #s(literal -1 binary64) #s(literal -1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) a) #s(literal -1/192 binary64)) (pow.f64 a #s(literal 3 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)))
(+ (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)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 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))
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(* 1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/8 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(pow b 2)
(*.f64 b b)
(exp b)
(exp.f64 b)
(* 1/2 (* (pow b 2) (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 (.f64 (*.f64 b b) #s(literal 1/2 binary64)) (-.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)))))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (* b (+ 1 (exp a))))))
(.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)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) b b))) (.f64 b b))
(* (pow b 2) (+ (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))))
(.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)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)) (.f64 b b))
(* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) 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))
(* 1/6 (pow b 2))
(.f64 (.f64 #s(literal 1/6 binary64) b) b)
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) b) b)
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b)) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))))
(.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)))) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 b))) (.f64 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))

rewrite180.0ms (1.7%)

Memory

13.1MiB live, 203.0MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	324
0	83	320
1	365	320
2	2926	320
0	9532	298

Stop Event

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

Counts

23 → 187

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (-.f64 (pow.f64 #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(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #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))) (exp.f64 a))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #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(literal 2 binary64))))) (log.f64 (neg.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)))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #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(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #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(literal 2 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))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #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(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #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(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.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))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 #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(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 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)))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (.f64 (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 #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(literal 3 binary64)))) (.f64 (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #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(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #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))) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #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(literal 2 binary64)))) (neg.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))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #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(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (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(literal 2 binary64))) (-.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)))))
(/.f64 (+.f64 (pow.f64 #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(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 #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(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.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)))))))
(/.f64 (+.f64 (pow.f64 #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(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (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))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.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))))) (/.f64 (pow.f64 #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(literal 2 binary64)) (-.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))))))
(+.f64 (+.f64 #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))) (cosh.f64 a)) (sinh.f64 a))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 #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(literal 3 binary64)) (fma.f64 #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))) (-.f64 #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))) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 a) (+.f64 (sinh.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)))))
(+.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))))
(+.f64 #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))) (exp.f64 a))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(pow.f64 (exp.f64 #s(literal 1 binary64)) a)
(pow.f64 (exp.f64 a) #s(literal 1 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 (+.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)))
(exp.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))
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(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)))
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(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 b (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))
(*.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 b b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 b (neg.f64 b)))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (pow.f64 b #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (*.f64 b b)))
(fabs.f64 (*.f64 b (neg.f64 b)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))) (.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))) #s(literal 1/512 binary64))) (.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/64 binary64)) (-.f64 (.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)))
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(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))))
(fma.f64 (*.f64 #s(literal -1/192 binary64) (neg.f64 a)) (neg.f64 a) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -1/192 binary64) a) a #s(literal 1/8 binary64))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 a (*.f64 #s(literal -1/192 binary64) a) #s(literal 1/8 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 a a)) #s(literal -1/192 binary64)))
(-.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 a) (.f64 #s(literal -1/192 binary64) a)))
(-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/192 binary64) (.f64 a a)))
(+.f64 (/.f64 (.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))) (/.f64 #s(literal 1/512 binary64) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))

eval30.0ms (0.3%)

Memory: 2.7MiB live, 49.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 9 678 to 1 278 computations (86.8% saved)

prune25.0ms (0.2%)

Memory

-0.7MiB live, 45.7MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (7 fresh and 13 done)

	Pruned	Kept	Total
New	248	3	251
Fresh	2	4	6
Picked	0	5	5
Done	0	8	8
Total	250	20	270

Accuracy

100.0%

Counts

270 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	48.8%	(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)))))
✓	48.4%	(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)))))
✓	47.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	44.5%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	99.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	44.9%	#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)))))
	44.8%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
✓	53.7%	#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))))
	45.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	41.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	43.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
✓	44.7%	#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)))))
✓	45.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	12.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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))))
	12.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b))))
✓	5.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))
✓	43.2%	#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)))))
	43.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	43.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 135 to 505 computations (55.5% saved)

regimes92.0ms (0.9%)

Memory

-16.5MiB live, 86.1MiB allocated; 35ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

#s(approx (log (+ (exp a) (exp b))) (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))))

Calls

6 calls:

60.0ms	b
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	a
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.8%	1	`(exp.f64 b)`
99.8%	1	`(exp.f64 a)`
99.8%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.8%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.8%	1	`a`
99.8%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes35.0ms (0.3%)

Memory

7.5MiB live, 54.3MiB allocated; 1ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(exp.f64 b)`
99.1%	1	`(exp.f64 a)`
99.1%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.1%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.1%	1	`a`
99.1%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes32.0ms (0.3%)

Memory

3.0MiB live, 49.7MiB allocated; 1ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs
#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))))

Calls

6 calls:

6.0ms	a
6.0ms	b
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
53.7%	1	`a`
53.7%	1	`(exp.f64 b)`
53.7%	1	`(exp.f64 a)`
53.7%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.7%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.7%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes27.0ms (0.3%)

Memory

-7.4MiB live, 41.4MiB allocated; 3ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 b)))

Calls

6 calls:

7.0ms	a
5.0ms	b
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
47.6%	1	`(exp.f64 b)`
53.8%	2	`(exp.f64 a)`
53.7%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.7%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.8%	2	`a`
47.6%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes15.0ms (0.1%)

Memory

-22.8MiB live, 24.2MiB allocated; 1ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

4.0ms	a
4.0ms	(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
53.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.6%	2	`(exp.f64 a)`
53.6%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory

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

Counts

11 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
52.9%	2	`(exp.f64 a)`
52.9%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 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
52.1%	2	`(exp.f64 a)`
52.1%	2	`a`
52.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes5.0ms (0%)

Memory

-39.5MiB live, 7.6MiB allocated; 1ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

2.0ms	(exp.f64 a)
2.0ms	a

Results

Accuracy	Segments	Branch
52.1%	2	`(exp.f64 a)`
52.1%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) 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 (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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
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
51.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
51.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
51.8%	2	`(exp.f64 a)`
51.8%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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:

1.0ms	a
1.0ms	b
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
12.8%	1	`(exp.f64 b)`
12.8%	1	`b`
12.8%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.8%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.8%	1	`(exp.f64 a)`
12.8%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
5.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
5.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
5.6%	1	`(exp.f64 b)`
5.6%	1	`(exp.f64 a)`
5.6%	1	`a`
5.6%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch29.0ms (0.3%)

Memory

-12.6MiB live, 34.5MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-809.8178949443693	-0.002415732271842271

Samples

19.0ms	119×	1	valid
1.0ms	25×	0	valid

Compiler

Compiled 630 to 416 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 7.0ms (43.4% of total)

ival-log: 5.0ms (31% of total)

adjust: 3.0ms (18.6% of total)

ival-add: 1.0ms (6.2% of total)

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

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

bsearch5.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-809.8178949443693	-0.002415732271842271

Samples

3.0ms

16×

valid

Compiler

Compiled 990 to 596 computations (39.8% saved)

Precisions

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

ival-exp: 1.0ms (48.6% of total)

ival-log: 1.0ms (48.6% of total)

adjust: 0.0ms (0% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002590683199895191	0.691940043894148

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch15.0ms (0.1%)

Memory

-29.6MiB live, 18.1MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-809.8178949443693	-0.002415732271842271

Samples

9.0ms

128×

valid

Compiler

Compiled 702 to 470 computations (33% saved)

Precisions

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

ival-exp: 2.0ms (47.3% 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)

adjust: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-809.8178949443693	-0.002415732271842271

Samples

3.0ms

48×

valid

Compiler

Compiled 666 to 434 computations (34.8% saved)

Precisions

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

ival-exp: 1.0ms (64.2% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-809.8178949443693	-0.002415732271842271

Compiler

Compiled 648 to 425 computations (34.4% saved)

simplify42.0ms (0.4%)

Memory

4.5MiB live, 51.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	704
1	120	704
2	211	704
3	540	704
4	2474	704

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (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))))
#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 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -126 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 b))))
(if (<=.f64 a #s(literal -122 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ ( (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -122 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (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))))
#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 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -126 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 b))))
(if (<=.f64 a #s(literal -122 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ ( (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -122 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #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 (+ (* (+ (* (* 1/2 b) (- (/ 1 (+ (exp a) 1)) (/ 1 (pow (+ (exp a) 1) 2)))) (/ 1 (+ (exp a) 1))) b) (log (+ 1 (exp a)))) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (.f64 (.f64 b b) #s(literal 1/8 binary64)))))

derivations631.0ms (5.9%)

Memory

0.5MiB live, 419.1MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	1060
1	872	1037
2	3160	1019
0	8549	895
0	99	370
1	317	370
2	1186	366
3	5037	366
0	8217	320
0	235	869
1	805	846
2	3020	824
0	8362	719

Stop Event

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

Compiler

Compiled 704 to 98 computations (86.1% saved)

preprocess77.0ms (0.7%)

Memory: 25.7MiB live, 125.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 494 to 248 computations (83.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze132.0ms (1.2%)

sample5.4s (50.5%)

explain446.0ms (4.2%)

preprocess167.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify114.0ms (1.1%)

localize65.0ms (0.6%)

series94.0ms (0.9%)

simplify139.0ms (1.3%)

rewrite206.0ms (1.9%)

eval34.0ms (0.3%)

prune10.0ms (0.1%)

simplify123.0ms (1.1%)

localize216.0ms (2%)

series104.0ms (1%)

simplify250.0ms (2.3%)

rewrite191.0ms (1.8%)

eval248.0ms (2.3%)

prune26.0ms (0.2%)

simplify111.0ms (1%)

localize174.0ms (1.6%)

series80.0ms (0.7%)

simplify158.0ms (1.5%)

rewrite194.0ms (1.8%)

eval56.0ms (0.5%)

prune12.0ms (0.1%)

simplify111.0ms (1%)

localize317.0ms (2.9%)

series85.0ms (0.8%)

simplify165.0ms (1.5%)

rewrite180.0ms (1.7%)

eval30.0ms (0.3%)

prune25.0ms (0.2%)

regimes92.0ms (0.9%)

regimes35.0ms (0.3%)

regimes32.0ms (0.3%)

regimes27.0ms (0.3%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch5.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

simplify42.0ms (0.4%)

derivations631.0ms (5.9%)

preprocess77.0ms (0.7%)

end0.0ms (0%)

Profiling