Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze151.0ms (1.4%)

Memory

-5.1MiB live, 209.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample4.8s (45.2%)

Memory

115.5MiB live, 4 661.8MiB allocated

Samples

1.9s	6 816×	5	exit
1.1s	1 502×	2	valid
523.0ms	2 390×	1	valid
341.0ms	4 364×	0	valid
95.0ms	933×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-log: 1.1s (38.7% of total)

ival-exp: 934.0ms (32.1% of total)

adjust: 545.0ms (18.7% of total)

ival-add: 286.0ms (9.8% of total)

ival-true: 13.0ms (0.4% of total)

ival-assert: 7.0ms (0.2% of total)

Bogosity

explain145.0ms (1.3%)

Memory

-12.4MiB live, 188.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(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	126	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	3	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	3
↳	`(exp.f64 a)`	overflow	1
↳	`(exp.f64 b)`	overflow	2

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	98×	2	valid
28.0ms	148×	1	valid
17.0ms	266×	0	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-log: 39.0ms (52% of total)

ival-exp: 26.0ms (34.7% of total)

adjust: 5.0ms (6.7% of total)

ival-add: 4.0ms (5.3% of total)

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

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

preprocess149.0ms (1.4%)

Memory

10.2MiB live, 190.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify154.0ms (1.4%)

Memory

42.2MiB live, 177.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (0.5%)

Memory

7.7MiB live, 54.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	29.830288063720825	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

24.0ms	49×	2	valid
14.0ms	74×	1	valid
8.0ms	133×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

ival-log: 19.0ms (51% of total)

ival-exp: 13.0ms (34.9% of total)

adjust: 2.0ms (5.4% of total)

ival-add: 2.0ms (5.4% of total)

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

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

series95.0ms (0.9%)

Memory

3.1MiB live, 95.7MiB allocated

Counts

4 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
27.0ms	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))
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))

simplify130.0ms (1.2%)

Memory

-5.0MiB live, 130.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite202.0ms (1.9%)

Memory

-0.7MiB live, 155.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 263

Calls

Call 1

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

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

eval51.0ms (0.5%)

Memory: -27.3MiB live, 66.6MiB allocated
Compiler: Compiled 7 882 to 1 233 computations (84.4% saved)

prune10.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

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

99.0%

Counts

291 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.9%	(-.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)))))
▶	48.9%	(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
✓	53.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	52.6%	(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)))))
▶	52.5%	(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)))))
▶	49.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
	52.1%	(log.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))))
▶	98.7%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	49.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	51.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 258 to 208 computations (19.4% saved)

simplify119.0ms (1.1%)

Memory

14.2MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	212
0	61	197
1	109	197
2	296	181
3	1674	181
0	8893	181

Stop Event

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

Calls

Call 1

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

localize97.0ms (0.9%)

Memory

-43.0MiB live, 104.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 a))
accuracy	0.00390625	(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))
accuracy	0.26791276081926724	(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))
accuracy	1.4547276256629906	(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))))
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(+.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	0.9615291784842482	#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
accuracy	1.4547276256629906	(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	0.00390625	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
accuracy	1.4547276256629906	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
accuracy	1.5455403720151508	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(log1p.f64 (exp.f64 a))
accuracy	1.533888319329972	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.00390625	(log1p.f64 (exp.f64 a))
accuracy	0.0078125	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
accuracy	0.825951969565977	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))

Samples

38.0ms	125×	0	exit
31.0ms	128×	0	valid
1.0ms	1×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 181 to 29 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-exp: 11.0ms (27.5% of total)

ival-add: 8.0ms (20% of total)

ival-mult: 6.0ms (15% of total)

ival-log: 6.0ms (15% of total)

ival-div: 3.0ms (7.5% of total)

ival-log1p: 2.0ms (5% of total)

ival-neg: 2.0ms (5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series550.0ms (5.1%)

Memory

7.4MiB live, 257.7MiB allocated

Counts

20 → 92

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
342.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))
76.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))
57.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))
45.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))
21.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a)))

simplify148.0ms (1.4%)

Memory

23.1MiB live, 120.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	2125
1	1433	1660
2	7077	1648
0	8220	1484

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 92

Calls

Call 1

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

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 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal -3 binary64)) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 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)))
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) a)) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 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))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (.f64 #s(literal 0 binary64) a)) a (.f64 #s(literal 1/2 binary64) b))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 a) (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))) #s(literal 0 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))
(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)))
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(+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))
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(+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -6 binary64) (/.f64 (fma.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/6 binary64) (fma.f64 (exp.f64 a) #s(literal 2/3 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (exp.f64 (neg.f64 a)) (/.f64 (.f64 (.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a))) (exp.f64 (.f64 (neg.f64 a) #s(literal 2 binary64)))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal -2 binary64))) b) #s(literal 1/6 binary64) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64)))) (exp.f64 (neg.f64 a)) (/.f64 (neg.f64 (.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64))))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) b (/.f64 (fma.f64 (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) (neg.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) b (log1p.f64 (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(exp b)
(exp.f64 b)
(* b (- (* -1 (/ a b)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 b))
(/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a)))
(+.f64 (exp.f64 a) (exp.f64 b))
(+ (exp (neg a)) (exp (* -1 b)))
(+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))
(* -1 (* b (+ 1 (/ a b))))
(neg.f64 (fma.f64 (/.f64 a b) b b))
(log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite197.0ms (1.8%)

Memory

-15.3MiB live, 257.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	168
0	61	154
1	226	153
2	1737	138
0	9342	138

Stop Event

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

Counts

20 → 625

Calls

Call 1

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

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

eval199.0ms (1.9%)

Memory: 11.8MiB live, 157.0MiB allocated
Compiler: Compiled 27 157 to 3 549 computations (86.9% saved)

prune26.0ms (0.2%)

Memory

19.1MiB live, 64.4MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	848	15	863
Fresh	3	1	4
Picked	4	1	5
Done	1	0	1
Total	856	17	873

Accuracy

100.0%

Counts

873 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (log1p.f64 (exp.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) (neg.f64 b))
	49.7%	(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	49.3%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	52.1%	(log.f64 #s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64))))
▶	49.6%	#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
	58.3%	#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))))
✓	51.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
▶	48.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
	49.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
	47.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	49.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	49.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
	49.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (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))))))
	49.4%	#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)))))
	49.2%	#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)))))
	49.2%	#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)))))
	48.9%	#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 652 to 487 computations (25.3% saved)

simplify150.0ms (1.4%)

Memory

-6.6MiB live, 178.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	196
0	66	191
1	122	191
2	342	180
3	1962	177
0	9302	177

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (log1p.f64 (exp.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) (neg.f64 b))
(-.f64 (log1p.f64 (exp.f64 (-.f64 a b))) (neg.f64 b))
(log1p.f64 (exp.f64 (-.f64 (neg.f64 b) (neg.f64 a))))
(log1p.f64 (exp.f64 (-.f64 a b)))
(exp.f64 (-.f64 (neg.f64 b) (neg.f64 a)))
(exp.f64 (-.f64 a b))
(-.f64 (neg.f64 b) (neg.f64 a))
(neg.f64 b)
b
(neg.f64 a)
a
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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)
(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))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
(log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))
#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
(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))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 b)
b

localize147.0ms (1.4%)

Memory

-12.1MiB live, 135.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.7340098203924335	(log1p.f64 (exp.f64 b))
accuracy	1.5233050684274945	#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
accuracy	0.00390625	(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64))
accuracy	0.00390625	(log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))))
accuracy	0.85850149388182	#s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))
accuracy	1.533888319329972	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
accuracy	0.00390625	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	0.9791630686553515	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	1.4547276256629906	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	1.5455403720151508	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.00390625	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	1.533888319329972	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	1.5455403720151508	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 b)
accuracy	0.0	(neg.f64 a)
accuracy	0.0	(exp.f64 (-.f64 (neg.f64 b) (neg.f64 a)))
accuracy	0.00390625	(log1p.f64 (exp.f64 (-.f64 (neg.f64 b) (neg.f64 a))))

Samples

55.0ms	128×	0	valid
41.0ms	2×	1	valid
33.0ms	125×	0	exit
1.0ms	1×	2	valid

Compiler

Compiled 145 to 35 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-exp: 41.0ms (44.4% of total)

const: 13.0ms (14.1% of total)

ival-mult: 9.0ms (9.7% of total)

ival-add: 8.0ms (8.7% of total)

ival-log1p: 8.0ms (8.7% of total)

ival-log: 6.0ms (6.5% of total)

ival-sub: 3.0ms (3.2% of total)

ival-div: 2.0ms (2.2% of total)

ival-neg: 2.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series183.0ms (1.7%)

Memory

26.0MiB live, 254.1MiB allocated

Counts

20 → 96

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	b	@	inf	((exp (- (neg b) (neg a))) (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (log (+ 1 (exp (- (neg b) (neg a))))) (- (neg b) (neg a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b) (neg a) (neg b) (+ (* 1/6 a) 1/2))
46.0ms	a	@	inf	((exp (- (neg b) (neg a))) (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (log (+ 1 (exp (- (neg b) (neg a))))) (- (neg b) (neg a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b) (neg a) (neg b) (+ (* 1/6 a) 1/2))
45.0ms	b	@	-inf	((exp (- (neg b) (neg a))) (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (log (+ 1 (exp (- (neg b) (neg a))))) (- (neg b) (neg a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b) (neg a) (neg b) (+ (* 1/6 a) 1/2))
40.0ms	a	@	-inf	((exp (- (neg b) (neg a))) (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (log (+ 1 (exp (- (neg b) (neg a))))) (- (neg b) (neg a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b) (neg a) (neg b) (+ (* 1/6 a) 1/2))
2.0ms	a	@	0	((exp (- (neg b) (neg a))) (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (log (+ 1 (exp (- (neg b) (neg a))))) (- (neg b) (neg a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b) (neg a) (neg b) (+ (* 1/6 a) 1/2))

simplify144.0ms (1.3%)

Memory

-15.0MiB live, 166.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	440	2285
1	1629	1977
2	7992	1977
0	8031	1781

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite241.0ms (2.3%)

Memory

10.6MiB live, 197.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	172
0	66	167
1	278	166
2	2176	152
0	8671	152

Stop Event

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

Counts

20 → 312

Calls

Call 1

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

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

eval78.0ms (0.7%)

Memory: -11.2MiB live, 91.8MiB allocated
Compiler: Compiled 12 416 to 2 044 computations (83.5% saved)

prune17.0ms (0.2%)

Memory

-6.3MiB live, 40.0MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	406	5	411
Fresh	5	6	11
Picked	1	4	5
Done	0	1	1
Total	412	16	428

Accuracy

100.0%

Counts

428 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
	49.6%	(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	47.8%	(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	49.3%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	100.0%	#s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (-.f64 a b))) b))
	50.7%	#s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
✓	49.6%	#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
▶	49.4%	#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
✓	51.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
✓	48.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
▶	47.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	49.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	49.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
▶	49.2%	#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)))))
▶	49.2%	#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)))))
	48.9%	#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 552 to 415 computations (24.8% saved)

simplify132.0ms (1.2%)

Memory

28.2MiB live, 164.8MiB allocated

Algorithm

1×	egg-herbie

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	261
0	76	256
1	149	256
2	433	244
3	2239	244
0	8445	232

Stop Event

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

Calls

Call 1

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

localize130.0ms (1.2%)

Memory

-4.7MiB live, 223.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	0.015625	(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	0.7776859119136823	#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	1.533888319329972	#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	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
accuracy	0.8170328224736171	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
accuracy	1.533888319329972	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
accuracy	0.8254148464263289	#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
accuracy	1.5233050684274945	#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) a)
accuracy	0.00390625	(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
accuracy	1.2663841498237276	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	1.533888319329972	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
accuracy	0.0	(+.f64 (log1p.f64 (exp.f64 (-.f64 a b))) b)
accuracy	0.0	(exp.f64 (-.f64 a b))
accuracy	0.0	#s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (-.f64 a b))) b))
accuracy	0.00390625	(log1p.f64 (exp.f64 (-.f64 a b)))

Samples

47.0ms	125×	0	exit
46.0ms	128×	0	valid
3.0ms	1×	2	valid
2.0ms	2×	1	valid

Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-exp: 17.0ms (21.2% of total)

ival-log: 15.0ms (18.7% of total)

ival-mult: 14.0ms (17.5% of total)

ival-add: 12.0ms (15% of total)

ival-log1p: 10.0ms (12.5% of total)

ival-sub: 4.0ms (5% of total)

const: 4.0ms (5% of total)

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

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

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series172.0ms (1.6%)

Memory

39.4MiB live, 225.5MiB allocated

Counts

21 → 92

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	a	@	inf	((- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+ (log (+ 1 (exp (- a b)))) b) (log (+ 1 (exp (- a b)))) (exp (- a b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (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) (+ (* (* a a) -1/192) 1/8))
39.0ms	a	@	-inf	((- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+ (log (+ 1 (exp (- a b)))) b) (log (+ 1 (exp (- a b)))) (exp (- a b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (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) (+ (* (* a a) -1/192) 1/8))
35.0ms	b	@	inf	((- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+ (log (+ 1 (exp (- a b)))) b) (log (+ 1 (exp (- a b)))) (exp (- a b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (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) (+ (* (* a a) -1/192) 1/8))
31.0ms	b	@	-inf	((- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+ (log (+ 1 (exp (- a b)))) b) (log (+ 1 (exp (- a b)))) (exp (- a b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (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) (+ (* (* a a) -1/192) 1/8))
3.0ms	b	@	0	((- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+ (log (+ 1 (exp (- a b)))) b) (log (+ 1 (exp (- a b)))) (exp (- a b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (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) (+ (* (* a a) -1/192) 1/8))

simplify205.0ms (1.9%)

Memory

5.9MiB live, 201.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	436	2295
1	1598	1983
2	7721	1983
0	8005	1797

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 90

Calls

Call 1

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

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

rewrite195.0ms (1.8%)

Memory

-1.7MiB live, 281.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	235
0	76	230
1	356	229
2	2855	221
0	8510	207

Stop Event

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

Counts

21 → 177

Calls

Call 1

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

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

eval40.0ms (0.4%)

Memory: -8.8MiB live, 79.5MiB allocated
Compiler: Compiled 9 928 to 1 439 computations (85.5% saved)

prune24.0ms (0.2%)

Memory

16.5MiB live, 57.6MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	252	5	257
Fresh	1	5	6
Picked	0	5	5
Done	0	5	5
Total	253	20	273

Accuracy

100.0%

Counts

273 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
	49.6%	(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	47.8%	(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	49.3%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	100.0%	#s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (-.f64 a b))) b))
	50.7%	#s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))
✓	49.6%	#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b)))
✓	49.4%	#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	49.4%	#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b))))
	11.8%	#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
✓	51.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
✓	48.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
✓	47.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	49.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	49.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))))
✓	49.2%	#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)))))
✓	49.2%	#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)))))
	48.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
	3.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))

Compiler

Compiled 1 159 to 530 computations (54.3% saved)

regimes58.0ms (0.5%)

Memory

-26.5MiB live, 125.3MiB allocated

Counts

35 → 1

Calls

Call 1

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

Calls

6 calls:

15.0ms	b
12.0ms	a
10.0ms	(exp.f64 b)
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
100.0%	1	`(exp.f64 b)`
100.0%	1	`(exp.f64 a)`
100.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
100.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes37.0ms (0.3%)

Memory

18.6MiB live, 65.0MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

#s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
51.3%	1	`(exp.f64 b)`
58.1%	2	`(exp.f64 a)`
58.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
58.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
58.1%	2	`a`
53.0%	2	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes26.0ms (0.2%)

Memory

-19.7MiB live, 42.5MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

9.0ms	(exp.f64 a)
6.0ms	a
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
57.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
58.0%	2	`(exp.f64 a)`
58.0%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
57.9%	2	`(exp.f64 a)`
57.9%	2	`a`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes18.0ms (0.2%)

Memory

-13.6MiB live, 33.4MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.6%	2	`(exp.f64 a)`
57.6%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes17.0ms (0.2%)

Memory

-14.7MiB live, 32.4MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

5.0ms	a
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
57.5%	2	`(exp.f64 a)`
57.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.5%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.1%)

Memory

30.3MiB live, 30.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.5%	2	`(exp.f64 a)`
57.5%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory

-21.9MiB live, 25.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	a
3.0ms	(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
57.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.1%	2	`(exp.f64 a)`
57.1%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes11.0ms (0.1%)

Memory

23.7MiB live, 23.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

3.0ms	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
57.0%	2	`(exp.f64 a)`
57.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.0%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

-32.6MiB live, 17.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

4 calls:

3.0ms	a
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
56.9%	2	`(exp.f64 a)`
56.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.9%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #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
56.6%	2	`(exp.f64 a)`
56.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.6%	2	`a`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory

-30.9MiB live, 16.5MiB allocated

Accuracy

Total -6.1b remaining (-10.8%)

Threshold costs -6.1b (-10.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Results

Accuracy	Segments	Branch
11.8%	1	`(exp.f64 b)`
11.8%	1	`b`
11.8%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
11.8%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
11.8%	1	`(exp.f64 a)`
11.8%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch21.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-366.0018088679479	-84.84607501272315

Samples

15.0ms	93×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 339 to 275 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 5.0ms (41.9% of total)

ival-log: 5.0ms (41.9% of total)

adjust: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

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

bsearch17.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-366.0018088679479	-84.84607501272315

Samples

12.0ms	76×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 285 to 239 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 4.0ms (41.2% of total)

ival-log: 4.0ms (41.2% of total)

adjust: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

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

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

bsearch13.0ms (0.1%)

Memory

-30.8MiB live, 15.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-366.0018088679479	-84.84607501272315

Samples

9.0ms

48×

valid

Compiler

Compiled 429 to 323 computations (24.7% saved)

Precisions

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

ival-exp: 5.0ms (63.9% of total)

ival-log: 2.0ms (25.6% of total)

adjust: 1.0ms (12.8% of total)

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

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

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

bsearch14.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-84.84607501272315	-0.03124295171667861

Samples

7.0ms

128×

valid

Compiler

Compiled 505 to 403 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (44.4% of total)

ival-log: 2.0ms (44.4% of total)

ival-add: 1.0ms (22.2% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-366.0018088679479	-84.84607501272315

Compiler

Compiled 333 to 263 computations (21% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-366.0018088679479	-84.84607501272315

Compiler

Compiled 351 to 287 computations (18.2% saved)

bsearch12.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-84.84607501272315	-0.03124295171667861

Samples

6.0ms

112×

valid

Compiler

Compiled 409 to 331 computations (19.1% saved)

Precisions

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

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

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

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

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

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

bsearch6.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-84.84607501272315	-0.03124295171667861

Samples

3.0ms

48×

valid

Compiler

Compiled 441 to 363 computations (17.7% saved)

Precisions

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

ival-exp: 1.0ms (60.7% of total)

ival-log: 1.0ms (60.7% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-84.84607501272315	-0.03124295171667861

Compiler

Compiled 409 to 331 computations (19.1% saved)

bsearch3.0ms (0%)

Memory

-45.7MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-366.0018088679479	-84.84607501272315

Compiler

Compiled 297 to 245 computations (17.5% saved)

simplify53.0ms (0.5%)

Memory

4.3MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	587
1	168	587
2	371	497
3	2150	495

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (-.f64 a b))) b))
(if (<=.f64 a #s(literal -160 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)))
(if (<=.f64 a #s(literal -360 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #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 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) (log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 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))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) (log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #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 -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

Outputs
#s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (-.f64 a b))) b))
(if (<=.f64 a #s(literal -160 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (- (log (+ 1 (exp (- (neg b) (neg a))))) (neg b)) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)))
(if (<=.f64 a #s(literal -360 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -360 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (/ (+ ( 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #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 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (/ (+ ( 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (/ (+ ( 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) (log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 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))))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (/ (+ ( 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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))))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) (log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -6124895493223875/4503599627370496 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #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 -6124895493223875/4503599627370496 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (/ (+ ( 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #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 -1 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (/ (+ ( 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -132 binary64)) #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (/ (+ ( 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))

soundness1.1s (10.2%)

Memory

51.0MiB live, 886.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	440	2285
1	1629	1977
2	7992	1977
0	8031	1781
0	99	370
1	317	370
2	1186	366
3	5037	366
0	8217	320
0	6	15
0	10	15
1	30	15
2	225	15
3	2920	15
0	8678	15
0	436	2295
1	1598	1983
2	7721	1983
0	8005	1797
0	34	168
0	61	154
1	226	153
2	1737	138
0	9342	138
0	405	2125
1	1433	1660
2	7077	1648
0	8220	1484

Stop Event

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

Compiler

Compiled 984 to 417 computations (57.6% saved)

preprocess70.0ms (0.7%)

Memory: 19.4MiB live, 112.9MiB allocated
Compiler: Compiled 1 518 to 270 computations (82.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze151.0ms (1.4%)

sample4.8s (45.2%)

explain145.0ms (1.3%)

preprocess149.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify154.0ms (1.4%)

localize52.0ms (0.5%)

series95.0ms (0.9%)

simplify130.0ms (1.2%)

rewrite202.0ms (1.9%)

eval51.0ms (0.5%)

prune10.0ms (0.1%)

simplify119.0ms (1.1%)

localize97.0ms (0.9%)

series550.0ms (5.1%)

simplify148.0ms (1.4%)

rewrite197.0ms (1.8%)

eval199.0ms (1.9%)

prune26.0ms (0.2%)

simplify150.0ms (1.4%)

localize147.0ms (1.4%)

series183.0ms (1.7%)

simplify144.0ms (1.3%)

rewrite241.0ms (2.3%)

eval78.0ms (0.7%)

prune17.0ms (0.2%)

simplify132.0ms (1.2%)

localize130.0ms (1.2%)

series172.0ms (1.6%)

simplify205.0ms (1.9%)

rewrite195.0ms (1.8%)

eval40.0ms (0.4%)

prune24.0ms (0.2%)

regimes58.0ms (0.5%)

regimes37.0ms (0.3%)

regimes26.0ms (0.2%)

regimes11.0ms (0.1%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

simplify53.0ms (0.5%)

soundness1.1s (10.2%)

preprocess70.0ms (0.7%)

end0.0ms (0%)

Profiling