Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze180.0ms (1.7%)

Memory

-12.2MiB live, 180.2MiB 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)

sample5.1s (48%)

Memory

127.1MiB live, 4 695.7MiB allocated

Samples

1.9s	6 764×	5	exit
872.0ms	1 535×	2	valid
500.0ms	2 264×	1	valid
365.0ms	4 457×	0	valid
96.0ms	906×	1	exit

Precisions

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

ival-log: 1.0s (36.2% of total)

ival-exp: 935.0ms (32.8% of total)

adjust: 592.0ms (20.7% of total)

ival-add: 275.0ms (9.6% of total)

ival-true: 14.0ms (0.5% of total)

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

Bogosity

explain158.0ms (1.5%)

Memory

-12.6MiB live, 109.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(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	114	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	4	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	4
↳	`(exp.f64 a)`	overflow	3
↳	`(exp.f64 b)`	overflow	1
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	1	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	64
↳	`(exp.f64 b)`	underflow	54

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms	86×	2	valid
26.0ms	290×	0	valid
26.0ms	136×	1	valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-log: 36.0ms (45.4% of total)

ival-exp: 34.0ms (42.9% of total)

adjust: 5.0ms (6.3% of total)

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

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

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

preprocess14.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	32	36
2	46	36
3	55	36
4	66	36
5	83	36
6	98	36
7	106	36
8	109	36
0	6	6
0	10	6
1	11	6
0	11	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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	11	17
0	11	17

Stop Event

1×	iter limit
1×	saturated
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

localize61.0ms (0.6%)

Memory

-18.0MiB live, 58.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.01953125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	27.414731197885743	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

24.0ms	43×	2	valid
17.0ms	145×	0	valid
13.0ms	68×	1	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-exp: 21.0ms (48.5% of total)

ival-log: 18.0ms (41.5% of total)

adjust: 2.0ms (4.6% of total)

ival-add: 2.0ms (4.6% of total)

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

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

series84.0ms (0.8%)

Memory

11.6MiB live, 123.9MiB 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
29.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
20.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
17.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
16.0ms	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))

simplify180.0ms (1.7%)

Memory

3.3MiB live, 161.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	370
1	274	370
2	769	362
3	2539	354
0	8583	306

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

rewrite66.0ms (0.6%)

Memory

-6.6MiB live, 78.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	24	15
2	150	15
0	1417	15

Stop Event

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

Counts

4 → 77

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

eval12.0ms (0.1%)

Memory: 24.6MiB live, 24.6MiB allocated
Compiler: Compiled 2 591 to 412 computations (84.1% saved)

prune9.0ms (0.1%)

Memory

-21.4MiB live, 18.0MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	94	10	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	11	105

Accuracy

99.0%

Counts

105 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(-.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)))))
▶	57.1%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
✓	57.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.6%	(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)))))
	54.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	54.2%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶	55.2%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
▶	98.3%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))))
	97.6%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	54.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	53.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 316 to 244 computations (22.8% saved)

simplify32.0ms (0.3%)

Memory

5.5MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (exp.f64 b) (exp.f64 a))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
cost-diff	1	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
cost-diff	2	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
cost-diff	0	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #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	(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))))
cost-diff	5	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	261
0	57	259
1	84	254
2	141	254
3	333	254
4	716	252
5	1044	249
6	1276	245
7	1361	245
8	1370	245
0	1370	242

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize152.0ms (1.4%)

Memory

7.6MiB live, 243.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 a)
accuracy	0.01953125	(+.f64 (exp.f64 b) (exp.f64 a))
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))
accuracy	27.43402779243246	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	2.519749888416941	#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy	27.414731197885743	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
accuracy	0.0	(exp.f64 b)
accuracy	0.01953125	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
accuracy	27.414731197885743	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
accuracy	28.888407474490606	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.0	(log1p.f64 (exp.f64 a))
accuracy	0.0	(exp.f64 a)
accuracy	29.97538517456852	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.01171875	(/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0.0234375	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a)))
accuracy	0.045253759768442016	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b))
accuracy	1.0842106889690328	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))))

Samples

54.0ms	43×	2	valid
40.0ms	68×	1	valid
32.0ms	145×	0	valid

Compiler

Compiled 219 to 30 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-log: 34.0ms (34.2% of total)

ival-exp: 13.0ms (13.1% of total)

ival-add: 12.0ms (12.1% of total)

ival-mult: 11.0ms (11.1% of total)

adjust: 10.0ms (10.1% of total)

ival-div: 9.0ms (9.1% of total)

ival-pow2: 4.0ms (4% of total)

ival-log1p: 2.0ms (2% of total)

ival-neg: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series243.0ms (2.3%)

Memory

5.0MiB live, 267.8MiB allocated

Counts

20 → 100

Calls

Call 1

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

Outputs
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(* -1 (log (/ 1 (+ 1 (exp b)))))
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b)))))
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
(log (/ 1 (+ 1 (exp b))))
(+ (log (/ 1 (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b)))))
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* 1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* a (+ (* 1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(/ 1 (+ 1 (exp b)))
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
-1/8
(- (* 1/8 a) 1/8)
(- (* a (+ 1/8 (* -1/32 a))) 1/8)
(- (* a (+ 1/8 (* a (- (* -1/96 a) 1/32)))) 1/8)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(* -1 (log (/ 1 (+ (exp a) (exp b)))))
(log (/ 1 (+ (exp a) (exp b))))
(/ 1 (+ (exp a) (exp b)))
(/ -1/2 (pow (+ 1 (exp a)) 2))
(+ 1 (exp a))
(/ 1 (+ 1 (exp a)))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 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))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ 1 (* 1/2 b))
(+ 1 (+ b (exp a)))
(+ 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 (log (/ 1 (+ 1 (exp a)))))
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a)))))
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a)))))
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a)))))
(log (/ 1 (+ 1 (exp a))))
(+ (log (/ 1 (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* 1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* b (+ (* 1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(exp b)
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))

Calls

6 calls:

Time	Variable		Point	Expression
74.0ms	a	@	-inf	((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 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)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1))
71.0ms	b	@	inf	((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 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)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1))
41.0ms	a	@	inf	((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 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)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1))
23.0ms	b	@	-inf	((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 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)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1))
23.0ms	a	@	0	((+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* 1/2 b) 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)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (/ 1 (+ (exp b) (exp a)))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (/ -1/2 (pow (+ (exp a) 1) 2)) (+ (exp a) 1))

simplify159.0ms (1.5%)

Memory

20.2MiB live, 173.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	2233
1	1233	2150
2	4137	2089
3	7658	2077
0	8453	1867

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 100

Calls

Call 1

Inputs
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(* -1 (log (/ 1 (+ 1 (exp b)))))
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b)))))
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
(log (/ 1 (+ 1 (exp b))))
(+ (log (/ 1 (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b)))))
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* 1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* a (+ (* 1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(/ 1 (+ 1 (exp b)))
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
-1/8
(- (* 1/8 a) 1/8)
(- (* a (+ 1/8 (* -1/32 a))) 1/8)
(- (* a (+ 1/8 (* a (- (* -1/96 a) 1/32)))) 1/8)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(* -1 (log (/ 1 (+ (exp a) (exp b)))))
(log (/ 1 (+ (exp a) (exp b))))
(/ 1 (+ (exp a) (exp b)))
(/ -1/2 (pow (+ 1 (exp a)) 2))
(+ 1 (exp a))
(/ 1 (+ 1 (exp a)))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 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))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ 1 (* 1/2 b))
(+ 1 (+ b (exp a)))
(+ 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 (log (/ 1 (+ 1 (exp a)))))
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a)))))
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a)))))
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a)))))
(log (/ 1 (+ 1 (exp a))))
(+ (log (/ 1 (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a)))))
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* 1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* b (+ (* 1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(exp b)
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))

Outputs
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) b (.f64 (+.f64 (fma.f64 #s(literal 1/32 binary64) b (.f64 #s(literal -1/32 binary64) b)) #s(literal 1/48 binary64)) a)) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (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 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) b #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(fma.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal -1/32 binary64) b (.f64 (+.f64 (fma.f64 #s(literal 1/32 binary64) b (.f64 #s(literal -1/32 binary64) b)) #s(literal 1/48 binary64)) a)) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b a) #s(literal 2 binary64))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(* -1 (log (/ 1 (+ 1 (exp b)))))
(log1p.f64 (exp.f64 b))
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b)))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) a) (-.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) (exp.f64 b) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(log (/ 1 (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+ (log (/ 1 (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b)))))
(neg.f64 (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))))
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* 1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (neg.f64 (log1p.f64 (exp.f64 b))))
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* a (+ (* 1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
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(/ 1 (+ 1 (exp b)))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(.f64 (+.f64 (+.f64 (/.f64 (/.f64 (exp.f64 a) b) b) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64))) (.f64 b b))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(fma.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(fma.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) b)) b) b)

rewrite208.0ms (2%)

Memory

6.5MiB live, 245.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	204
0	57	199
1	210	197
2	1683	197
0	8209	194

Stop Event

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

Counts

20 → 944

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (/.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (/.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)) (/.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) b)))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) b))) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 b #s(literal 1 binary64)))) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal -1/2 binary64) b)))) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) b))) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 b #s(literal 1/2 binary64)))) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) b)) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) b)) (.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) b))) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 b #s(literal 1 binary64)))) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (.f64 #s(literal -1/2 binary64) b)))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/4 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) b))) (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))
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(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))))) (neg.f64 (neg.f64 (expm1.f64 a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (exp.f64 (log.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))))) (exp.f64 (log.f64 (expm1.f64 a))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (exp.f64 (log1p.f64 (neg.f64 (exp.f64 a)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (exp.f64 (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (exp.f64 (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (expm1.f64 a))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (expm1.f64 a)))
(/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (expm1.f64 a))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (expm1.f64 a))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (expm1.f64 a))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))

eval203.0ms (1.9%)

Memory: 13.8MiB live, 282.1MiB allocated
Compiler: Compiled 54 204 to 5 864 computations (89.2% saved)

prune32.0ms (0.3%)

Memory

3.4MiB live, 81.9MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 293	16	1 309
Fresh	3	2	5
Picked	1	4	5
Done	0	1	1
Total	1 297	23	1 320

Accuracy

99.0%

Counts

1 320 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.1%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
	55.6%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))))
	55.0%	(neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
✓	57.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.6%	(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)))))
	54.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	54.2%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
	53.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
	52.9%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	55.2%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
▶	53.3%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
	1.4%	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
▶	2.2%	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))))
	97.6%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
	54.2%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b)))
▶	60.9%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
▶	97.6%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))))
✓	53.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	50.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	51.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	53.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	51.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	51.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 850 to 639 computations (24.8% saved)

simplify24.0ms (0.2%)

Memory

-15.3MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	392
0	66	392
1	97	380
2	142	380
3	241	380
4	423	380
5	591	380
6	723	362
7	779	362
8	789	362
9	790	362
0	790	353

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize139.0ms (1.3%)

Memory

6.1MiB live, 162.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 a)
accuracy	0.0234375	(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))
accuracy	1.0842106889690328	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
accuracy	24.37270005103772	#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
accuracy	2.519749888416941	#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
accuracy	24.277985673847176	#s(approx (+ (exp a) 1) #s(literal 2 binary64))
accuracy	27.414731197885743	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
accuracy	0.00390625	(.f64 (.f64 b b) #s(literal 1/2 binary64))
accuracy	2.519749888416941	#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64))))
accuracy	27.414731197885743	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))))
accuracy	60.66284798101214	#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))
accuracy	0.0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	28.888407474490606	#s(approx (exp a) #s(literal 1 binary64))
accuracy	29.97538517456852	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy	0.0234375	(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
accuracy	1.0842106889690328	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))))
accuracy	2.187694279222197	#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Samples

41.0ms	43×	2	valid
36.0ms	68×	1	valid
31.0ms	145×	0	valid

Compiler

Compiled 241 to 33 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-log: 23.0ms (27.2% of total)

ival-mult: 14.0ms (16.6% of total)

ival-exp: 13.0ms (15.4% of total)

ival-add: 12.0ms (14.2% of total)

adjust: 9.0ms (10.7% of total)

ival-div: 6.0ms (7.1% of total)

ival-pow2: 4.0ms (4.7% of total)

ival-log1p: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series57.0ms (0.5%)

Memory

14.5MiB live, 97.5MiB allocated

Counts

22 → 72

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))))
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
#s(approx (exp a) #s(literal 1 binary64))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))))
#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))
(.f64 (.f64 b b) #s(literal 1/2 binary64))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a)))
#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
(exp.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) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
1/2
(+ 1/2 (* -1/4 a))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(log 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)))))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(/ 1 (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 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))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(* 1/2 (pow b 2))
(+ 1 (* 1/2 b))
(+ 1/2 (* 1/8 b))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* 1/8 b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a))
14.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a))
9.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a))
8.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a))
2.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (* b b) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (+ (* 1/8 b) 1/2) (+ 1 (exp a)) (+ (exp a) 1) (exp a))

simplify128.0ms (1.2%)

Memory

-2.4MiB live, 121.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	1196
1	905	1124
2	3052	1049
3	7657	1049
0	8067	920

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
1/2
(+ 1/2 (* -1/4 a))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(log 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)))))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(/ 1 (+ 1 (exp a)))
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 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))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(* 1/2 (pow b 2))
(+ 1 (* 1/2 b))
(+ 1/2 (* 1/8 b))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* 1/8 b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))

Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) b #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(fma.f64 (fma.f64 (fma.f64 b (fma.f64 #s(literal -1/32 binary64) b (.f64 (+.f64 (fma.f64 #s(literal 1/32 binary64) b (.f64 #s(literal -1/32 binary64) b)) #s(literal 1/48 binary64)) a)) #s(literal 1/8 binary64)) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) b (.f64 (+.f64 (fma.f64 #s(literal 1/32 binary64) b (.f64 #s(literal -1/32 binary64) b)) #s(literal 1/48 binary64)) a)) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 a))
(fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (.f64 a a) #s(literal 1/48 binary64)) (.f64 a a) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 #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)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b a) #s(literal 2 binary64))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ 1 (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+ (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 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b) b) #s(literal 1/6 binary64) (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/2 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/2 binary64))
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1/2 (* 1/8 b))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(*.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (exp.f64 a) b))) b (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) b)
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) (/.f64 (/.f64 (exp.f64 a) b) b)) b (/.f64 #s(literal 1 binary64) b)) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* 1/8 b)
(*.f64 #s(literal 1/8 binary64) b)
(* b (+ 1/8 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(*.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(fma.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) b)) b) b)

rewrite164.0ms (1.5%)

Memory

-10.6MiB live, 181.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	367
0	66	355
1	245	355
2	1858	351
0	8453	342

Stop Event

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

Counts

22 → 268

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (log1p.f64 (exp.f64 a))))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (.f64 #s(approx (+ ( (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))) (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (.f64 #s(approx (+ ( (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (.f64 #s(approx (+ ( (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))) b (neg.f64 (log1p.f64 (exp.f64 a)))))))
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(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) (*.f64 b #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 b b) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))) (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 b b) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 b b) (-.f64 #s(literal 1/4 binary64) (.f64 b #s(literal 1/16 binary64)))) (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 b b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/8 binary64) b #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) b))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 a))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) #s(literal -1 binary64))
(pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))))) (neg.f64 (neg.f64 (expm1.f64 a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64)))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (exp.f64 (log1p.f64 (neg.f64 (exp.f64 a)))))
(/.f64 (exp.f64 (log.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))))) (exp.f64 (log.f64 (expm1.f64 a))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (exp.f64 (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (exp.f64 (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (expm1.f64 a))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (neg.f64 (expm1.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (expm1.f64 a)))
(/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (expm1.f64 a))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (expm1.f64 a))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (expm1.f64 a))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal -1 binary64))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
#s(approx (+ (exp a) 1) #s(literal 2 binary64))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(exp.f64 a)

eval47.0ms (0.4%)

Memory: 34.8MiB live, 108.5MiB allocated
Compiler: Compiled 16 537 to 1 612 computations (90.3% saved)

prune24.0ms (0.2%)

Memory

-6.7MiB live, 40.3MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	328	7	335
Fresh	0	13	13
Picked	3	2	5
Done	0	5	5
Total	331	27	358

Accuracy

99.0%

Counts

358 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.1%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
	55.6%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))))
	55.0%	(neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
✓	57.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.6%	(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)))))
	54.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	54.2%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
	53.6%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
	52.9%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	55.2%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
✓	53.3%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
▶	1.4%	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
	2.2%	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))
	97.6%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
▶	54.2%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b)))
▶	97.6%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))))
	48.3%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a))))
	47.7%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a))))
▶	54.2%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))))
	54.3%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a))))
	60.5%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
✓	53.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
▶	50.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	51.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	53.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	51.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	51.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 249 to 878 computations (29.7% saved)

simplify33.0ms (0.3%)

Memory

-2.4MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	415
0	76	414
1	110	392
2	162	392
3	293	392
4	498	392
5	765	392
6	1131	374
7	1288	374
8	1308	374
9	1309	374
0	1309	365

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize188.0ms (1.8%)

Memory

13.5MiB live, 243.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a)))
accuracy	1.0842106889690328	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))))
accuracy	2.187694279222197	#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))
accuracy	29.29573046079246	#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))
accuracy	0.0	(exp.f64 b)
accuracy	0.9919297950378392	(log1p.f64 (exp.f64 b))
accuracy	28.323562350030926	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b)))
accuracy	0.0390625	(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
accuracy	2.519749888416941	#s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))
accuracy	27.414731197885743	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
accuracy	60.19708986529104	#s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))
accuracy	0.0	(+.f64 #s(literal 1 binary64) a)
accuracy	0.0	(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
accuracy	28.95902629433447	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	29.97538517456852	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
accuracy	0.0234375	(fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a)))
accuracy	0.5234375	(pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	1.0842106889690328	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))))
accuracy	2.187694279222197	#s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Samples

65.0ms	43×	2	valid
50.0ms	68×	1	valid
48.0ms	145×	0	valid

Compiler

Compiled 249 to 37 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-log: 34.0ms (26.7% of total)

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

ival-exp: 16.0ms (12.5% of total)

adjust: 12.0ms (9.4% of total)

ival-mult: 12.0ms (9.4% of total)

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

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

ival-log1p: 7.0ms (5.5% of total)

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

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

exact: 1.0ms (0.8% of total)

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

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

series162.0ms (1.5%)

Memory

-11.0MiB live, 224.2MiB allocated

Counts

20 → 86

Calls

Call 1

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

Outputs
1/2
(+ 1/2 (* -1/4 a))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(* -1 (log (/ 1 (+ 1 (exp b)))))
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b)))))
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ 1 (+ 1 (exp a)))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(log (+ 1 (exp a)))
(exp a)
a
(* a (+ 1 (/ 1 a)))
(+ (exp a) (exp b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(* -1 (log (/ 1 (+ (exp a) (exp b)))))
(+ 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))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
b
(* b (+ 1 (* 1/2 b)))
(* -1 (log (/ 1 (+ 1 (exp a)))))
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a)))))
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a)))))
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a)))))
(+ (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)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(exp b)
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	a	@	0	((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a)))
37.0ms	b	@	inf	((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a)))
30.0ms	b	@	-inf	((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a)))
23.0ms	a	@	inf	((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a)))
22.0ms	a	@	-inf	((pow (pow (+ (exp a) 1) -1/2) 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (* (+ (* 1/2 b) 1) b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/ 1 (+ 1 (exp a))) (+ 1 (exp a)))

simplify160.0ms (1.5%)

Memory

6.6MiB live, 230.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	1620
1	1126	1547
2	3834	1478
3	6005	1448
0	8272	1276

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 84

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/4 a))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(* -1 (log (/ 1 (+ 1 (exp b)))))
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b)))))
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ 1 (+ 1 (exp a)))
(log (+ (exp a) (exp b)))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(log (+ 1 (exp a)))
(exp a)
a
(* a (+ 1 (/ 1 a)))
(+ (exp a) (exp b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(* -1 (log (/ 1 (+ (exp a) (exp b)))))
(+ 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))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
b
(* b (+ 1 (* 1/2 b)))
(* -1 (log (/ 1 (+ 1 (exp a)))))
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a)))))
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a)))))
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a)))))
(+ (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)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(exp b)
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 a))
(fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) a #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
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(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
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(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
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(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
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(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
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(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(fma.f64 #s(literal 1/8 binary64) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
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(fma.f64 #s(literal 1/8 binary64) b (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) b) a #s(literal -1/4 binary64)) a #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
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(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 #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)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b a) #s(literal 2 binary64))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 2 binary64)))
(* -1 (log (/ 1 (+ 1 (exp b)))))
(log1p.f64 (exp.f64 b))
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b)))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b)))))
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2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64))
(/ 1 (+ 1 (exp a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(fma.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
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(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(exp a)
(exp.f64 a)
a
(* a (+ 1 (/ 1 a)))
(+.f64 #s(literal 1 binary64) a)
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (log (/ 1 (+ (exp a) (exp b)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+ (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 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
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(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
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(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ 1 (+ b (exp a)))
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
b
(* b (+ 1 (* 1/2 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* -1 (log (/ 1 (+ 1 (exp a)))))
(log1p.f64 (exp.f64 a))
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a)))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a)))))
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(+ (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)))
(+ 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))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(*.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(*.f64 b (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* 1/2 (pow b 2))
(.f64 (.f64 b b) #s(literal 1/2 binary64))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(.f64 (+.f64 (+.f64 (/.f64 (/.f64 (exp.f64 a) b) b) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64))) (.f64 b b))
(exp b)
(exp.f64 b)
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) b)
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(*.f64 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b)
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(*.f64 b (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(*.f64 b (fma.f64 #s(literal 1/2 binary64) b (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -1 binary64))))

rewrite244.0ms (2.3%)

Memory

8.8MiB live, 126.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	373
0	76	352
1	296	350
2	2207	346
0	8114	337

Stop Event

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

Counts

20 → 181

Calls

Call 1

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

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

eval32.0ms (0.3%)

Memory: 17.9MiB live, 55.7MiB allocated
Compiler: Compiled 11 467 to 1 180 computations (89.7% saved)

prune60.0ms (0.6%)

Memory

-10.0MiB live, 80.0MiB allocated

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	246	7	253
Fresh	4	11	15
Picked	2	3	5
Done	1	6	7
Total	253	27	280

Accuracy

99.0%

Counts

280 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.1%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
	55.6%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))))
	55.0%	(neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
✓	57.1%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.6%	(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)))))
	54.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	52.9%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	55.2%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
✓	53.3%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
	2.2%	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))
	97.6%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
✓	54.2%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b)))
	52.9%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	53.7%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	53.7%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	53.2%	#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	51.5%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))))
	48.3%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a))))
	47.7%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a))))
✓	54.2%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))))
	54.3%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a))))
	60.5%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
✓	53.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
✓	50.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	51.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	51.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	51.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 754 to 694 computations (60.4% saved)

regimes230.0ms (2.2%)

Memory

-29.2MiB live, 91.1MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 b b) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (pow (pow (+ (exp a) 1) -1/2) 2) (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)))) b (log1p.f64 (exp.f64 a))))
(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)))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))))
(neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a))))
(-.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)))))

Outputs

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

Calls

6 calls:

162.0ms	(exp.f64 b)
21.0ms	a
14.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
98.3%	1	`a`
98.3%	1	`b`
98.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.3%	1	`(exp.f64 a)`
98.3%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes89.0ms (0.8%)

Memory

20.8MiB live, 95.2MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

6 calls:

36.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
16.0ms	a
11.0ms	b
9.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
97.6%	1	`a`
97.6%	1	`b`
97.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.6%	1	`(exp.f64 a)`
97.6%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes56.0ms (0.5%)

Memory

11.5MiB live, 95.7MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

11.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	(exp.f64 a)
9.0ms	a
9.0ms	b
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
60.9%	1	`a`
60.9%	1	`b`
60.9%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
60.9%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
60.9%	1	`(exp.f64 a)`
60.9%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes46.0ms (0.4%)

Memory

7.1MiB live, 81.7MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

10.0ms	b
9.0ms	(exp.f64 b)
7.0ms	a
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
60.5%	1	`a`
60.5%	1	`(exp.f64 a)`
60.5%	1	`b`
60.5%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
60.5%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
60.5%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes42.0ms (0.4%)

Memory

-13.1MiB live, 66.8MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	b
8.0ms	(exp.f64 b)
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
54.2%	1	`a`
56.0%	2	`b`
54.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
54.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
54.2%	1	`(exp.f64 a)`
54.2%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes11.0ms (0.1%)

Memory

-13.1MiB live, 22.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
56.0%	2	`b`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes33.0ms (0.3%)

Memory

3.2MiB live, 80.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

8.0ms	a
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	b
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
53.7%	1	`a`
53.7%	1	`(exp.f64 a)`
53.7%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.7%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
53.7%	1	`(exp.f64 b)`
55.5%	2	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes21.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes88.0ms (0.8%)

Memory

-20.4MiB live, 36.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

67.0ms	(exp.f64 a)
5.0ms	a
4.0ms	b
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

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

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes23.0ms (0.2%)

Memory

-3.3MiB live, 34.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
53.2%	1	`a`
53.2%	1	`(exp.f64 a)`
53.2%	1	`(exp.f64 b)`
53.2%	1	`b`
53.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
53.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes14.0ms (0.1%)

Memory

-16.8MiB live, 21.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	b
2.0ms	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 b)

Results

Accuracy	Segments	Branch
52.9%	1	`a`
52.9%	1	`b`
52.9%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
52.9%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.9%	1	`(exp.f64 a)`
52.9%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Accuracy

Total -1.2b remaining (-4%)

Threshold costs -1.2b (-4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`a`
51.8%	1	`b`
51.8%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
51.8%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
51.8%	1	`(exp.f64 a)`
51.8%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch19.0ms (0.2%)

Memory

-13.7MiB live, 24.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.7982217283104242e-157	2.2452151843483123e-156

Samples

11.0ms	44×	1	valid
3.0ms	52×	0	valid

Compiler

Compiled 117 to 125 computations (-6.8% saved)

Precisions

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

ival-exp: 6.0ms (51.2% of total)

ival-log: 4.0ms (34.1% of total)

adjust: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% of total)

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7982217283104242e-157	2.2452151843483123e-156

Compiler

Compiled 129 to 131 computations (-1.6% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7982217283104242e-157	2.2452151843483123e-156

Compiler

Compiled 351 to 263 computations (25.1% saved)

simplify112.0ms (1%)

Memory

-6.5MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	85	364
1	109	350
2	154	350
3	314	350
4	640	346
5	984	346
6	2235	342
7	5706	342
8	7149	342

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 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))))
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) b)) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (fma.f64 #s(approx (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) #s(approx (/ 1 (+ 1 (exp a))) #s(literal 1/2 binary64))) b (log1p.f64 (exp.f64 a))))
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))))
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 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))))
(if (<=.f64 b #s(literal 531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 b) 1) (/ 1 (+ (exp a) 1))) (* (/ -1/2 (pow (+ (exp a) 1) 2)) b)) b) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))

soundness1.4s (13.3%)

Memory

29.3MiB live, 859.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	1196
1	905	1124
2	3052	1049
3	7657	1049
0	8067	920
0	405	2233
1	1233	2150
2	4137	2089
3	7658	2077
0	8453	1867
0	99	370
1	274	370
2	769	362
3	2539	354
0	8583	306
0	6	15
0	10	15
1	24	15
2	150	15
0	1417	15
0	364	1620
1	1126	1547
2	3834	1478
3	6005	1448
0	8272	1276

Stop Event

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

Compiler

Compiled 515 to 232 computations (55% saved)

preprocess76.0ms (0.7%)

Memory: -15.9MiB live, 140.3MiB allocated
Compiler: Compiled 1 058 to 404 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	36
1	32	36
2	46	36
3	55	36
4	66	36
5	83	36
6	98	36
7	106	36
8	109	36
0	6	6
0	10	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	46	392
0	66	392
1	97	380
2	142	380
3	241	380
4	423	380
5	591	380
6	723	362
7	779	362
8	789	362
9	790	362
0	790	353

Iter	Nodes	Cost
0	16	36
1	32	36
2	46	36
3	55	36
4	66	36
5	83	36
6	98	36
7	106	36
8	109	36
0	6	6
0	10	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	46	392
0	66	392
1	97	380
2	142	380
3	241	380
4	423	380
5	591	380
6	723	362
7	779	362
8	789	362
9	790	362
0	790	353

start0.0ms (0%)

analyze180.0ms (1.7%)

sample5.1s (48%)

explain158.0ms (1.5%)

preprocess14.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize61.0ms (0.6%)

series84.0ms (0.8%)

simplify180.0ms (1.7%)

rewrite66.0ms (0.6%)

eval12.0ms (0.1%)

prune9.0ms (0.1%)

simplify32.0ms (0.3%)

localize152.0ms (1.4%)

series243.0ms (2.3%)

simplify159.0ms (1.5%)

rewrite208.0ms (2%)

eval203.0ms (1.9%)

prune32.0ms (0.3%)

simplify24.0ms (0.2%)

localize139.0ms (1.3%)

series57.0ms (0.5%)

simplify128.0ms (1.2%)

rewrite164.0ms (1.5%)

eval47.0ms (0.4%)

prune24.0ms (0.2%)

simplify33.0ms (0.3%)

localize188.0ms (1.8%)

series162.0ms (1.5%)

simplify160.0ms (1.5%)

rewrite244.0ms (2.3%)

eval32.0ms (0.3%)

prune60.0ms (0.6%)

regimes230.0ms (2.2%)

regimes89.0ms (0.8%)

regimes56.0ms (0.5%)

regimes46.0ms (0.4%)

regimes42.0ms (0.4%)

regimes11.0ms (0.1%)

regimes33.0ms (0.3%)

regimes21.0ms (0.2%)

regimes88.0ms (0.8%)

regimes23.0ms (0.2%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch19.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify112.0ms (1%)

soundness1.4s (13.3%)

preprocess76.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	36
1	32	36
2	46	36
3	55	36
4	66	36
5	83	36
6	98	36
7	106	36
8	109	36
0	6	6
0	10	6
1	11	6
0	11	6

Iter	Nodes	Cost
0	46	392
0	66	392
1	97	380
2	142	380
3	241	380
4	423	380
5	591	380
6	723	362
7	779	362
8	789	362
9	790	362
0	790	353