Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze190.0ms (0.1%)

Memory

-6.2MiB live, 185.5MiB 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)

sample5.2s (2.7%)

Memory

118.2MiB live, 4 844.4MiB allocated

Samples

2.2s	6 886×	5	exit
854.0ms	1 522×	2	valid
540.0ms	2 313×	1	valid
314.0ms	4 421×	0	valid
102.0ms	958×	1	exit

Precisions

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

ival-log: 1.1s (37.2% of total)

ival-exp: 897.0ms (31.2% of total)

adjust: 542.0ms (18.9% of total)

ival-add: 344.0ms (12% of total)

ival-true: 15.0ms (0.5% of total)

ival-assert: 8.0ms (0.3% of total)

Bogosity

explain201.0ms (0.1%)

Memory

7.4MiB live, 130.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
137	-	-	`(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	135	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	2
↳	`(exp.f64 b)`	overflow	2

Confusion

	Predicted +	Predicted -
+	137	0
-	0	119

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	244×	0	valid
43.0ms	88×	2	valid
36.0ms	180×	1	valid

Compiler

Compiled 78 to 34 computations (56.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-exp: 58.0ms (53.5% of total)

ival-log: 39.0ms (36% of total)

adjust: 5.0ms (4.6% of total)

ival-add: 5.0ms (4.6% of total)

ival-true: 1.0ms (0.9% of total)

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

preprocess46.0ms (0%)

Memory

-24.2MiB live, 14.0MiB 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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

localize82.0ms (0%)

Memory

-11.3MiB live, 38.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 b)
accuracy	0	(exp.f64 a)
accuracy	0.015625	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	32.11822479362381	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

50.0ms	44×	2	valid
18.0ms	90×	1	valid
8.0ms	122×	0	valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-log: 48.0ms (73.3% of total)

ival-exp: 12.0ms (18.3% of total)

adjust: 3.0ms (4.6% of total)

ival-add: 2.0ms (3.1% of total)

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

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

series92.0ms (0%)

Memory

31.1MiB live, 67.8MiB 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
34.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
27.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
14.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b))
14.0ms	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))

simplify286.0ms (0.1%)

Memory

-9.2MiB live, 137.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	370
1	274	370
2	753	362
3	2519	354
0	8540	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)

rewrite78.0ms (0%)

Memory

7.2MiB live, 45.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	24	15
2	150	15
0	1409	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)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.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)))) (fma.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))))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
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(-.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%)

Memory: 15.7MiB live, 15.7MiB allocated
Compiler: Compiled 2 591 to 412 computations (84.1% saved)

prune12.0ms (0%)

Memory

-28.9MiB live, 10.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Accuracy

99.4%

Counts

105 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
✓	49.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	49.1%	(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)))))
▶	49.1%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	48.8%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	99.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
▶	47.0%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	48.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 180 to 152 computations (15.6% saved)

simplify7.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	164
0	45	164
1	58	164
2	66	164
3	85	164
4	109	164
5	118	164
6	124	164
0	124	164

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (0.1%)

Memory

3.7MiB live, 85.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 a)
accuracy	0.015625	(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
accuracy	0.9753784004697477	#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
accuracy	32.11822479362381	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
accuracy	0	(exp.f64 a)
accuracy	0.015625	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	1.1943266895862088	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	32.11822479362381	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	0	(exp.f64 b)
accuracy	0.4841601804341592	(log1p.f64 (exp.f64 b))
accuracy	33.4487092623121	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
accuracy	0	(log1p.f64 (exp.f64 a))
accuracy	0	(exp.f64 a)
accuracy	33.09241502003463	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.00390625	(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
accuracy	0.0078125	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.01171875	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.5756514955770817	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))

Samples

41.0ms	44×	2	valid
35.0ms	90×	1	valid
22.0ms	122×	0	valid

Compiler

Compiled 286 to 47 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-log: 20.0ms (25.9% of total)

adjust: 17.0ms (22% of total)

ival-exp: 14.0ms (18.2% of total)

ival-add: 9.0ms (11.7% of total)

ival-log1p: 8.0ms (10.4% of total)

ival-mult: 6.0ms (7.8% of total)

ival-div: 3.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series120.0ms (0.1%)

Memory

31.5MiB live, 145.5MiB allocated

Counts

16 → 48

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
27.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
23.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
23.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))
4.0ms	b	@	0	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b))

simplify229.0ms (0.1%)

Memory

8.5MiB live, 238.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	612
1	531	589
2	1556	574
3	5124	572
0	8731	485

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite140.0ms (0.1%)

Memory

-13.2MiB live, 184.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	129
0	45	129
1	166	129
2	1305	129
0	8287	129

Stop Event

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

Counts

16 → 297

Calls

Call 1

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

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

eval60.0ms (0%)

Memory: -20.7MiB live, 99.7MiB allocated
Compiler: Compiled 12 619 to 1 474 computations (88.3% saved)

prune20.0ms (0%)

Memory

6.6MiB live, 46.0MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	391	14	405
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	394	19	413

Accuracy

99.4%

Counts

413 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)))))
✓	49.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	49.1%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	48.8%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	45.3%	(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	78.9%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
✓	99.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	47.0%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
	57.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
▶	56.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
✓	48.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	46.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	44.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	46.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	47.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	47.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
	45.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
▶	45.9%	#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)))))
▶	46.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 599 to 460 computations (23.2% saved)

simplify125.0ms (0.1%)

Memory

0.8MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) b)
cost-diff	0	#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
cost-diff	0	(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
cost-diff	33920	(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	275
0	62	275
1	84	275
2	112	275
3	173	249
4	307	245
5	739	245
6	2347	245
7	5444	245
0	8146	245

Stop Event

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

Calls

Call 1

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

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

localize189.0ms (0.1%)

Memory

32.2MiB live, 270.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 a)
accuracy	0.00390625	(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
accuracy	0.5756514955770817	#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
accuracy	28.311007878139094	#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
accuracy	33.09241502003463	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
accuracy	33.577679598630475	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
accuracy	33.09241502003463	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
accuracy	33.58900089511414	#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))
accuracy	0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	33.09241502003463	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	33.679136468554	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.01171875	(+.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy	0.45931625976844204	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
accuracy	0.5756514955770817	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
accuracy	13.374344949109524	(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))

Samples

96.0ms	90×	1	valid
41.0ms	44×	2	valid
29.0ms	122×	0	valid

Compiler

Compiled 489 to 71 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

adjust: 53.0ms (38.5% of total)

ival-log: 23.0ms (16.7% of total)

ival-exp: 13.0ms (9.4% of total)

ival-mult: 13.0ms (9.4% of total)

ival-add: 12.0ms (8.7% of total)

ival-div: 8.0ms (5.8% of total)

ival-pow2: 8.0ms (5.8% of total)

ival-sub: 4.0ms (2.9% of total)

ival-log1p: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series74.0ms (0%)

Memory

-30.2MiB live, 127.8MiB allocated

Counts

22 → 67

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	a	@	-inf	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)) (exp a))
17.0ms	a	@	inf	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)) (exp a))
10.0ms	b	@	-inf	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)) (exp a))
10.0ms	b	@	inf	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)) (exp a))
9.0ms	a	@	0	((/ (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (log (+ (exp a) (exp b))) (- (pow (/ b (+ 1 (exp a))) 2) (pow (log (+ 1 (exp a))) 2)) (pow (/ b (+ 1 (exp a))) 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (log 2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)) (exp a))

simplify178.0ms (0.1%)

Memory

27.5MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	1600
1	944	1504
2	3184	1448
0	8234	1308

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 67

Calls

Call 1

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

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

rewrite194.0ms (0.1%)

Memory

11.2MiB live, 170.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	234
0	62	234
1	222	204
2	1591	204
0	8406	204

Stop Event

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

Counts

22 → 450

Calls

Call 1

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

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

eval77.0ms (0%)

Memory: -0.1MiB live, 159.2MiB allocated
Compiler: Compiled 25 019 to 2 572 computations (89.7% saved)

prune28.0ms (0%)

Memory

-23.8MiB live, 52.9MiB allocated

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	552	10	562
Fresh	0	9	9
Picked	1	4	5
Done	0	5	5
Total	553	28	581

Accuracy

99.4%

Counts

581 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.7%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)))))
✓	49.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	49.1%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	48.8%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	45.3%	(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	59.4%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a))))
	57.1%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
	53.8%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) #s(approx (/ b (+ (exp a) 1)) (.f64 #s(literal 1/2 binary64) b)))))
	46.4%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
	46.4%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
▶	56.3%	#s(approx (log (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))))
✓	99.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	47.0%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
	57.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
✓	56.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
✓	48.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
▶	46.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	44.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	46.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	47.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	47.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
▶	45.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	45.9%	#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)))))
✓	46.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
	46.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))))
	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
	3.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
▶	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Compiler

Compiled 1 021 to 754 computations (26.2% saved)

simplify10.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
cost-diff	0	(+.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
cost-diff	0	(log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) a)
cost-diff	0	#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
cost-diff	0	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
cost-diff	0	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a))))
cost-diff	8768	(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	324
0	72	300
1	95	300
2	124	300
3	188	300
4	286	300
5	327	300
0	327	297

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize132.0ms (0.1%)

Memory

-4.2MiB live, 151.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))
accuracy	0.0546875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
accuracy	0.5756514955770817	#s(approx (log (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))))))
accuracy	14.301546389031532	#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))
accuracy	0.03515625	(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
accuracy	0.0546875	(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	17.19965889741275	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
accuracy	17.62787438070496	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
accuracy	0	(+.f64 #s(literal 1 binary64) b)
accuracy	0.4841601804341592	(log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	0.6645281750690226	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	16.68097675021911	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	17.097112526067733	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
accuracy	17.62787438070496	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
accuracy	20.73740007248951	#s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
accuracy	0.0078125	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.01171875	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.16015625	(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
accuracy	0.5756514955770817	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a))))

Samples

29.0ms	101×	0	invalid
28.0ms	45×	1	valid
24.0ms	85×	0	valid
24.0ms	25×	2	valid

Compiler

Compiled 551 to 84 computations (84.8% saved)

Precisions

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

ival-add: 16.0ms (19.8% of total)

ival-log: 16.0ms (19.8% of total)

ival-mult: 14.0ms (17.3% of total)

ival-exp: 7.0ms (8.7% of total)

ival-log1p: 7.0ms (8.7% of total)

ival-div: 6.0ms (7.4% of total)

adjust: 6.0ms (7.4% of total)

const: 5.0ms (6.2% of total)

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

exact: 1.0ms (1.2% of total)

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

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

series115.0ms (0.1%)

Memory

34.4MiB live, 150.7MiB allocated

Counts

23 → 82

Calls

Call 1

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

Outputs
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(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))))))
(* (sqrt b) (sqrt 1/2))
(+ (* -1/8 (* (/ a (sqrt 1/2)) (sqrt b))) (* (sqrt b) (sqrt 1/2)))
(+ (* a (+ (* -1/2 (* (/ (* a (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b)))) (sqrt 1/2)) (sqrt (/ 1 b)))) (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))))) (* (sqrt b) (sqrt 1/2)))
(+ (* a (+ (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 b)) (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (sqrt 1/2)))) (* -1/2 (* (/ (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (+ (* 1/24 b) (* 1/8 (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 b)))))))) (* (sqrt b) (sqrt 1/2)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(* 1/2 a)
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(/ 1 (+ (log 2) (* 1/2 b)))
(+ (* a (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (/ 1 (+ (log 2) (* 1/2 b))))
(+ (* a (- (+ (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* a (- (+ (* -1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2)))) (+ (* 1/8 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))) (/ (* (- 1/2 (* 1/4 b)) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b))))))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (/ 1 (+ (log 2) (* 1/2 b))))
(+ (* a (- (+ (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* a (- (+ (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (pow (+ (log 2) (* 1/2 b)) 2))) (+ (/ (* (- 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b))) (/ (* (- 1/2 (* 1/4 b)) (- (+ (* -1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2)))) (+ (* 1/8 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))) (/ (* (- 1/2 (* 1/4 b)) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b)))))) (+ (log 2) (* 1/2 b))))))) (+ (* -1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (* 1/8 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))) (/ (* (- 1/2 (* 1/4 b)) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b))))))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (/ 1 (+ (log 2) (* 1/2 b))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ (exp a) (exp b)))
(sqrt (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(log (+ 1 (exp a)))
(* a (+ 1/2 (/ (log 2) a)))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(/ 1 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(+ 1 (exp a))
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(/ 1 (log (+ 1 (exp a))))
(+ (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) (/ 1 (log (+ 1 (exp a)))))
(+ (* b (- (/ b (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (/ 1 (log (+ 1 (exp a)))))
(+ (* b (- (* b (+ (* -1 (/ b (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (/ 1 (log (+ 1 (exp a)))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
b
(* b (+ 1 (/ 1 b)))
(/ (+ 1 (exp a)) b)
(/ (+ 1 (+ (exp a) (* -1 (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)))) b)
(/ (- (+ 1 (+ (exp a) (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) (pow b 2)))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)) b)
(/ (- (+ 1 (+ (exp a) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)) (pow b 3))))) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) (pow b 2))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b))) b)
(* -1 (/ (* b (pow (sqrt -1) 2)) (+ 1 (exp a))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ (pow (sqrt -1) 2) (+ 1 (exp a))))))
(* -1 (* (sqrt (/ b (+ 1 (exp a)))) (pow (sqrt -1) 2)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)) b))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) b) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))) b))) b))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)) b) (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))) b)) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))) b))) b))

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	a	@	0	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))))) (log (+ (exp a) (exp b))) (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (exp a) 1) (+ (* (* a a) -1/192) 1/8) (/ b (+ (exp a) 1)))
18.0ms	a	@	-inf	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))))) (log (+ (exp a) (exp b))) (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (exp a) 1) (+ (* (* a a) -1/192) 1/8) (/ b (+ (exp a) 1)))
16.0ms	a	@	inf	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))))) (log (+ (exp a) (exp b))) (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (exp a) 1) (+ (* (* a a) -1/192) 1/8) (/ b (+ (exp a) 1)))
16.0ms	b	@	inf	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))))) (log (+ (exp a) (exp b))) (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (exp a) 1) (+ (* (* a a) -1/192) 1/8) (/ b (+ (exp a) 1)))
16.0ms	b	@	-inf	((+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (sqrt (/ b (+ (exp a) 1))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* 1/2 a) (log 2)) (* 1/2 a) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (/ 1 (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))))) (log (+ (exp a) (exp b))) (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (exp a) 1) (+ (* (* a a) -1/192) 1/8) (/ b (+ (exp a) 1)))

simplify195.0ms (0.1%)

Memory

-16.4MiB live, 183.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	379	1684
1	1129	1554
2	3712	1528
0	8807	1345

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 81

Calls

Call 1

Inputs
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(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))))))
(* (sqrt b) (sqrt 1/2))
(+ (* -1/8 (* (/ a (sqrt 1/2)) (sqrt b))) (* (sqrt b) (sqrt 1/2)))
(+ (* a (+ (* -1/2 (* (/ (* a (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b)))) (sqrt 1/2)) (sqrt (/ 1 b)))) (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))))) (* (sqrt b) (sqrt 1/2)))
(+ (* a (+ (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 b)) (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (sqrt 1/2)))) (* -1/2 (* (/ (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (+ (* 1/24 b) (* 1/8 (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 b)))))))) (* (sqrt b) (sqrt 1/2)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(* 1/2 a)
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(/ 1 (+ (log 2) (* 1/2 b)))
(+ (* a (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (/ 1 (+ (log 2) (* 1/2 b))))
(+ (* a (- (+ (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* a (- (+ (* -1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2)))) (+ (* 1/8 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))) (/ (* (- 1/2 (* 1/4 b)) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b))))))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (/ 1 (+ (log 2) (* 1/2 b))))
(+ (* a (- (+ (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* a (- (+ (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (pow (+ (log 2) (* 1/2 b)) 2))) (+ (/ (* (- 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b))) (/ (* (- 1/2 (* 1/4 b)) (- (+ (* -1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2)))) (+ (* 1/8 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))) (/ (* (- 1/2 (* 1/4 b)) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b)))))) (+ (log 2) (* 1/2 b))))))) (+ (* -1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (* 1/8 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))) (/ (* (- 1/2 (* 1/4 b)) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b))))))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (/ 1 (+ (log 2) (* 1/2 b))))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ (exp a) (exp b)))
(sqrt (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(log (+ 1 (exp a)))
(* a (+ 1/2 (/ (log 2) a)))
(* -1/192 (pow a 4))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(* -1/192 (pow a 3))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(/ 1 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(+ 1 (exp a))
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(/ 1 (log (+ 1 (exp a))))
(+ (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) (/ 1 (log (+ 1 (exp a)))))
(+ (* b (- (/ b (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (/ 1 (log (+ 1 (exp a)))))
(+ (* b (- (* b (+ (* -1 (/ b (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (/ 1 (log (+ 1 (exp a)))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(exp b)
b
(* b (+ 1 (/ 1 b)))
(/ (+ 1 (exp a)) b)
(/ (+ 1 (+ (exp a) (* -1 (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)))) b)
(/ (- (+ 1 (+ (exp a) (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) (pow b 2)))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)) b)
(/ (- (+ 1 (+ (exp a) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)) (pow b 3))))) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) (pow b 2))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b))) b)
(* -1 (/ (* b (pow (sqrt -1) 2)) (+ 1 (exp a))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ (pow (sqrt -1) 2) (+ 1 (exp a))))))
(* -1 (* (sqrt (/ b (+ 1 (exp a)))) (pow (sqrt -1) 2)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)) b))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) b) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))) b))) b))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)) b) (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))) b)) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))) b))) b))

Outputs
(+ (log 2) (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(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 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) a (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(* (sqrt b) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 b))
(+ (* -1/8 (* (/ a (sqrt 1/2)) (sqrt b))) (* (sqrt b) (sqrt 1/2)))
(*.f64 (sqrt.f64 b) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* a (+ (* -1/2 (* (/ (* a (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b)))) (sqrt 1/2)) (sqrt (/ 1 b)))) (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))))) (* (sqrt b) (sqrt 1/2)))
(fma.f64 (.f64 a #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/64 binary64)) (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 b) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (* a (+ (* -1/8 (* (sqrt b) (/ 1 (sqrt 1/2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 b)) (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (sqrt 1/2)))) (* -1/2 (* (/ (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (+ (* 1/24 b) (* 1/8 (/ (+ (* -1/8 b) (+ (* 1/64 (/ b (pow (sqrt 1/2) 2))) (* 1/8 b))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 b)))))))) (* (sqrt b) (sqrt 1/2)))
(fma.f64 (sqrt.f64 b) (fma.f64 (/.f64 a (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 a a) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (/.f64 (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 b #s(literal 1/2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/48 binary64) b)) (/.f64 a (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64))))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(fma.f64 (fma.f64 (.f64 (.f64 a b) #s(literal 1/48 binary64)) a (.f64 #s(literal -1/4 binary64) b)) a (.f64 #s(literal 1/2 binary64) b))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
(/ 1 (+ (log 2) (* 1/2 b)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
(+ (* a (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (/ 1 (+ (log 2) (* 1/2 b))))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(+ (* a (- (+ (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* a (- (+ (* -1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2)))) (+ (* 1/8 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))) (/ (* (- 1/2 (* 1/4 b)) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b))))))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (/ 1 (+ (log 2) (* 1/2 b))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 b (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) a (fma.f64 (/.f64 b (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
(+ (* a (- (+ (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* a (- (+ (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (pow (+ (log 2) (* 1/2 b)) 2))) (+ (/ (* (- 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b))) (/ (* (- 1/2 (* 1/4 b)) (- (+ (* -1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2)))) (+ (* 1/8 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))) (/ (* (- 1/2 (* 1/4 b)) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b)))))) (+ (log 2) (* 1/2 b))))))) (+ (* -1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/8 (/ b (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (* 1/8 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))) (/ (* (- 1/2 (* 1/4 b)) (- (* 1/4 (/ b (pow (+ (log 2) (* 1/2 b)) 2))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (+ (log 2) (* 1/2 b))))))) (* 1/2 (/ 1 (pow (+ (log 2) (* 1/2 b)) 2))))) (/ 1 (+ (log 2) (* 1/2 b))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (/.f64 b (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 b (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal -1/48 binary64) b)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 b (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) a (fma.f64 (/.f64 b (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #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))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt (/ b (+ 1 (exp a))))
(sqrt.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(* a (+ 1/2 (/ (log 2) a)))
(*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a)
(* -1/192 (pow a 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/192 binary64))
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192))
(.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/192 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* -1/192 (pow a 3))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/192 binary64))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #s(literal 1/192 binary64)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))
(/ 1 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(* -1/192 (pow a 2))
(.f64 (.f64 a a) #s(literal -1/192 binary64))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) a) a)
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(*.f64 (neg.f64 a) (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #s(literal 1/192 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a a)) #s(literal -1 binary64) #s(literal -1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (-.f64 #s(literal 1/192 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a) 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 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.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)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))
1
#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))
(/ 1 (log (+ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a)))
(+ (* -1 (/ b (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) (/ 1 (log (+ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a))) (/.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (/ b (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (/ 1 (log (+ 1 (exp a)))))
(fma.f64 (-.f64 (/.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a))))
(+ (* b (- (* b (+ (* -1 (/ b (* (pow (log (+ 1 (exp a))) 4) (pow (+ 1 (exp a)) 3)))) (/ 1 (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 2))))) (/ 1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (/ 1 (log (+ 1 (exp a)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)))) b (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp b)
(exp.f64 b)
b
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(/ (+ 1 (exp a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)
(/ (+ 1 (+ (exp a) (* -1 (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)))) b)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (log1p.f64 (exp.f64 a)))) b)
(/ (- (+ 1 (+ (exp a) (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) (pow b 2)))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)) b)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) b) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(/ (- (+ 1 (+ (exp a) (* -1 (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)) (pow b 3))))) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) (pow b 2))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b))) b)
(/.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (exp.f64 a) (/.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) b) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b))) #s(literal 1 binary64)) b)
(* -1 (/ (* b (pow (sqrt -1) 2)) (+ 1 (exp a))))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ (pow (sqrt -1) 2) (+ 1 (exp a))))))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* (sqrt (/ b (+ 1 (exp a)))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (/ (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2)) b)) b))
(/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (log1p.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (neg.f64 b))
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3)) b) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))) b))) b))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) b) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow (log (+ 1 (exp a))) 3) (pow (+ 1 (exp a)) 4)) b) (* (pow (log (+ 1 (exp a))) 2) (pow (+ 1 (exp a)) 3))) b)) (* (log (+ 1 (exp a))) (pow (+ 1 (exp a)) 2))) b))) b))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a)) (/.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64)) b) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) b))) b) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)

rewrite205.0ms (0.1%)

Memory

30.9MiB live, 231.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	290
0	72	266
1	245	266
2	1720	266
0	8592	263

Stop Event

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

Counts

23 → 555

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #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 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(/.f64 (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))) (*.f64 (expm1.f64 a) (expm1.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 (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) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(/.f64 (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) (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(sqrt.f64 (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)) #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 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 a a) #s(literal -1/1536 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) #s(literal -1/1536 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))) (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (*.f64 a a) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/192 binary64) a) a #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 a (*.f64 #s(literal -1/192 binary64) a) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))) (/.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1/192 binary64) (.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))))
(+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))

eval111.0ms (0.1%)

Memory: -17.8MiB live, 174.1MiB allocated
Compiler: Compiled 26 920 to 3 043 computations (88.7% saved)

prune34.0ms (0%)

Memory

25.3MiB live, 64.1MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	750	4	754
Fresh	7	7	14
Picked	2	3	5
Done	5	4	9
Total	764	18	782

Accuracy

99.4%

Counts

782 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.3%	(log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	37.9%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (sqrt.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) (log1p.f64 (exp.f64 a))))
	50.8%	#s(approx (log (+ (exp a) (exp b))) (pow.f64 (pow.f64 (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	54.0%	#s(approx (log (+ (exp a) (exp b))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) b) (log1p.f64 (exp.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (neg.f64 b)))))
	57.1%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))
✓	48.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
✓	46.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	44.6%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	46.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	47.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	55.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	47.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
✓	45.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
✓	45.9%	#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)))))
✓	46.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))
	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a))))
	3.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
✓	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Compiler

Compiled 1 185 to 493 computations (58.4% saved)

regimes68.0ms (0%)

Memory

-11.3MiB live, 84.8MiB allocated

Counts

36 → 1

Calls

Call 1

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

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:

18.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms	(exp.f64 b)
10.0ms	b
10.0ms	a
8.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes66.0ms (0%)

Memory

-16.4MiB live, 58.4MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	(exp.f64 b)
12.0ms	a
8.0ms	b
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
99.1%	2	`a`
65.9%	2	`b`
98.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.1%	2	`(exp.f64 a)`
58.2%	2	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes23.0ms (0%)

Memory

-2.5MiB live, 35.2MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	a
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.3%	2	`a`
98.3%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes21.0ms (0%)

Memory

-8.9MiB live, 36.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.1%	2	`a`
98.1%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes25.0ms (0%)

Memory

-0.7MiB live, 36.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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:

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

Results

Accuracy	Segments	Branch
47.1%	1	`(exp.f64 b)`
47.1%	1	`b`
47.1%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
47.1%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
47.1%	1	`(exp.f64 a)`
47.1%	1	`a`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes23.0ms (0%)

Memory

5.9MiB live, 43.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(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 a)

Results

Accuracy	Segments	Branch
47.0%	1	`(exp.f64 a)`
47.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
47.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
47.0%	1	`(exp.f64 b)`
47.0%	1	`a`
47.0%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes19.0ms (0%)

Memory

-2.3MiB live, 34.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

Calls

6 calls:

5.0ms	(exp.f64 a)
3.0ms	a
3.0ms	b
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
46.8%	1	`(exp.f64 a)`
46.8%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
46.8%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
46.8%	1	`a`
46.8%	1	`(exp.f64 b)`
46.8%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes13.0ms (0%)

Memory

34.7MiB live, 34.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
46.1%	1	`(exp.f64 a)`
46.1%	1	`a`
46.1%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
46.1%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
46.1%	1	`(exp.f64 b)`
46.1%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes16.0ms (0%)

Memory

-6.8MiB live, 37.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

7.0ms	b
2.0ms	a
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
3.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
3.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
3.2%	1	`(exp.f64 a)`
3.2%	1	`a`
3.2%	1	`(exp.f64 b)`
3.2%	1	`b`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes9.0ms (0%)

Memory

-18.6MiB live, 20.6MiB allocated

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.2763556695894211e-54

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.2763556695894211e-54

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch14.0ms (0%)

Memory

20.6MiB live, 20.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-38.38934138071216	-0.001049021605941292

Samples

7.0ms

128×

valid

Compiler

Compiled 401 to 275 computations (31.4% saved)

Precisions

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

ival-exp: 2.0ms (43.4% of total)

ival-log: 2.0ms (43.4% of total)

ival-add: 1.0ms (21.7% of total)

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

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

simplify87.0ms (0%)

Memory

-29.4MiB live, 94.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	305
1	88	305

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (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))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (sqrt (/ b (+ (exp a) 1))) (sqrt (/ b (+ (exp a) 1)))) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (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))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* 1/2 a) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

soundness3.0min (95.3%)

Memory

-69.8MiB live, 61 101.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	379	1684
1	1129	1554
2	3712	1528
0	8807	1345
0	99	370
1	274	370
2	753	362
3	2519	354
0	8540	306
0	27	129
0	45	129
1	166	129
2	1305	129
0	8287	129
0	39	234
0	62	234
1	222	204
2	1591	204
0	8406	204
0	307	1600
1	944	1504
2	3184	1448
0	8234	1308
0	185	612
1	531	589
2	1556	574
3	5124	572
0	8731	485

Stop Event

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

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	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

start0.0ms (0%)

analyze190.0ms (0.1%)

sample5.2s (2.7%)

explain201.0ms (0.1%)

preprocess46.0ms (0%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize82.0ms (0%)

series92.0ms (0%)

simplify286.0ms (0.1%)

rewrite78.0ms (0%)

eval12.0ms (0%)

prune12.0ms (0%)

simplify7.0ms (0%)

localize117.0ms (0.1%)

series120.0ms (0.1%)

simplify229.0ms (0.1%)

rewrite140.0ms (0.1%)

eval60.0ms (0%)

prune20.0ms (0%)

simplify125.0ms (0.1%)

localize189.0ms (0.1%)

series74.0ms (0%)

simplify178.0ms (0.1%)

rewrite194.0ms (0.1%)

eval77.0ms (0%)

prune28.0ms (0%)

simplify10.0ms (0%)

localize132.0ms (0.1%)

series115.0ms (0.1%)

simplify195.0ms (0.1%)

rewrite205.0ms (0.1%)

eval111.0ms (0.1%)

prune34.0ms (0%)

regimes68.0ms (0%)

regimes66.0ms (0%)

regimes23.0ms (0%)

regimes21.0ms (0%)

regimes25.0ms (0%)

regimes23.0ms (0%)

regimes19.0ms (0%)

regimes13.0ms (0%)

regimes16.0ms (0%)

regimes9.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0%)

simplify87.0ms (0%)

soundness3.0min (95.3%)

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