Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze180.0ms (1.7%)

Memory

-13.1MiB live, 179.4MiB 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)

sample5.4s (50.5%)

Memory

119.9MiB live, 4 932.0MiB allocated

Samples

2.0s	6 989×	5	exit
826.0ms	1 470×	2	valid
533.0ms	2 345×	1	valid
305.0ms	4 441×	0	valid
112.0ms	981×	1	exit

Precisions

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

ival-log: 1.1s (37.7% of total)

ival-exp: 847.0ms (29.2% of total)

adjust: 612.0ms (21.1% of total)

ival-add: 324.0ms (11.2% of total)

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

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

Bogosity

explain240.0ms (2.2%)

Memory

29.9MiB live, 107.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
123	-	-	`(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	120	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	3	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	3
↳	`(exp.f64 a)`	underflow	54
↳	`(exp.f64 b)`	underflow	75

Confusion

	Predicted +	Predicted -
+	123	0
-	0	133

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	0
-	0	0	133

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

89.0ms	72×	2	valid
74.0ms	286×	0	valid
31.0ms	154×	1	valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-exp: 77.0ms (64.6% of total)

ival-log: 33.0ms (27.7% of total)

adjust: 4.0ms (3.4% of total)

ival-add: 4.0ms (3.4% of total)

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

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

preprocess30.0ms (0.3%)

Memory

-25.2MiB live, 13.2MiB 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	11	17
0	11	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (0.6%)

Memory

-11.2MiB live, 36.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 b)
accuracy	0.0	(exp.f64 a)
accuracy	0.0234375	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	27.924499487019382	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

26.0ms	143×	0	valid
19.0ms	36×	2	valid
15.0ms	77×	1	valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-log: 34.0ms (66.3% of total)

ival-exp: 12.0ms (23.4% of total)

adjust: 3.0ms (5.9% of total)

ival-add: 2.0ms (3.9% of total)

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

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

series141.0ms (1.3%)

Memory

-4.6MiB live, 68.2MiB 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
50.0ms	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))
15.0ms	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))

simplify182.0ms (1.7%)

Memory

30.2MiB live, 178.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite65.0ms (0.6%)

Memory

-24.1MiB live, 61.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 77

Calls

Call 1

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

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

eval15.0ms (0.1%)

Memory: 29.3MiB live, 29.3MiB allocated
Compiler: Compiled 2 591 to 412 computations (84.1% saved)

prune8.0ms (0.1%)

Memory

-22.8MiB live, 16.2MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Accuracy

100.0%

Counts

105 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
✓	56.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	54.5%	(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)))))
▶	53.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	54.3%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
▶	51.6%	#s(approx (log (+ (exp a) (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))))
▶	99.0%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	51.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	51.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 252 to 198 computations (21.4% saved)

simplify35.0ms (0.3%)

Memory

9.9MiB live, 48.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64))
cost-diff	0	(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)))
cost-diff	0	#s(approx (log (+ (exp a) (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))))
cost-diff	6976	(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)))))
cost-diff	0	#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
cost-diff	0	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
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 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	39	297
0	71	297
1	98	294
2	149	294
3	345	294
4	745	292
5	1081	292
6	1291	285
7	1568	285
8	1659	285
0	1659	282

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

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

localize187.0ms (1.8%)

Memory

25.2MiB live, 260.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(/.f64 a (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	0.0390625	(pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy	0.8311699161805592	(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)))))
accuracy	30.931828772759946	#s(approx (log (+ (exp a) (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))))
accuracy	0.0078125	(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
accuracy	0.0234375	(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))
accuracy	1.9315071392484056	#s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))
accuracy	27.924499487019382	(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)))))
accuracy	0.0	(exp.f64 a)
accuracy	0.0234375	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	2.4321014842526405	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	27.924499487019382	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	0.0	(exp.f64 a)
accuracy	0.00390625	(log1p.f64 (exp.f64 a))
accuracy	30.863843896343273	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.0078125	(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.01171875	(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
accuracy	0.01171875	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	0.6339580078273237	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))

Samples

47.0ms	80×	1	valid
40.0ms	140×	0	valid
39.0ms	36×	2	valid

Compiler

Compiled 531 to 75 computations (85.9% saved)

Precisions

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

ival-add: 18.0ms (18.6% of total)

ival-log: 17.0ms (17.5% of total)

ival-mult: 14.0ms (14.5% of total)

ival-exp: 13.0ms (13.4% of total)

adjust: 11.0ms (11.4% of total)

ival-div: 8.0ms (8.3% of total)

ival-log1p: 7.0ms (7.2% of total)

ival-pow2: 4.0ms (4.1% of total)

const: 4.0ms (4.1% of total)

exact: 1.0ms (1% of total)

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

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

series143.0ms (1.3%)

Memory

-21.0MiB live, 209.2MiB allocated

Counts

20 → 86

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* 1/2 a) 1) (+ (* 1/6 b) 1/2) (pow (+ (exp b) 1) 2) (/ a (pow (+ (exp b) 1) 2)))
31.0ms	b	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* 1/2 a) 1) (+ (* 1/6 b) 1/2) (pow (+ (exp b) 1) 2) (/ a (pow (+ (exp b) 1) 2)))
26.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* 1/2 a) 1) (+ (* 1/6 b) 1/2) (pow (+ (exp b) 1) 2) (/ a (pow (+ (exp b) 1) 2)))
25.0ms	a	@	inf	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* 1/2 a) 1) (+ (* 1/6 b) 1/2) (pow (+ (exp b) 1) 2) (/ a (pow (+ (exp b) 1) 2)))
22.0ms	a	@	0	((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* 1/2 a) 1) (+ (* 1/6 b) 1/2) (pow (+ (exp b) 1) 2) (/ a (pow (+ (exp b) 1) 2)))

simplify136.0ms (1.3%)

Memory

14.3MiB live, 167.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	1329
1	1040	1227
2	3603	1156
0	8432	1008

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 86

Calls

Call 1

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

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

rewrite204.0ms (1.9%)

Memory

10.5MiB live, 251.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	225
0	71	222
1	284	222
2	2363	222
0	8255	219

Stop Event

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

Counts

20 → 682

Calls

Call 1

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

eval129.0ms (1.2%)

Memory: 25.8MiB live, 176.7MiB allocated
Compiler: Compiled 35 882 to 3 907 computations (89.1% saved)

prune32.0ms (0.3%)

Memory

3.7MiB live, 78.2MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	801	13	814
Fresh	0	3	3
Picked	1	4	5
Done	0	1	1
Total	802	21	823

Accuracy

100.0%

Counts

823 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))))
✓	56.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	54.5%	(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)))))
✓	53.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	50.4%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
▶	50.1%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	54.3%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
✓	99.0%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
	50.7%	#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)))))
	59.0%	#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))))
▶	69.7%	#s(approx (log (+ (exp a) (exp 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))))
	51.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	51.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	50.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
	48.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	49.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	50.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	50.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) a) a #s(literal 1/8 binary64)) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) b (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
▶	50.4%	#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)))))
	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 808 to 578 computations (28.5% saved)

simplify142.0ms (1.3%)

Memory

1.9MiB live, 162.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
cost-diff	0	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
cost-diff	0	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
cost-diff	0	#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 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
cost-diff	0	(+.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)))
cost-diff	0	#s(approx (log (+ (exp a) (exp 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))))
cost-diff	6080	(*.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)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	393
0	81	393
1	119	393
2	191	389
3	442	389
4	951	389
5	1974	389
6	3247	389
7	4082	389
8	6988	389
0	8145	389

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

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

localize144.0ms (1.3%)

Memory

-28.0MiB live, 166.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
accuracy	0.01171875	(+.f64 (exp.f64 a) #s(literal 1 binary64))
accuracy	1.9196734459821778	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
accuracy	2.052686287219985	#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
accuracy	0.015625	(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	0.0234375	(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	3.920578751394989	#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	4.785169886567337	#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	0.0234375	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	1.9196734459821778	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	2.4321014842526405	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	4.795467500059199	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.00390625	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	4.785169886567337	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	4.795467500059199	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.47404917582065476	(*.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)))
accuracy	0.4811325195368841	(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)))
accuracy	0.5029487793053261	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
accuracy	0.6339580078273237	#s(approx (log (+ (exp a) (exp 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))))

Samples

45.0ms	110×	1	exit
45.0ms	143×	0	valid
1.0ms	2×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 708 to 89 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-add: 15.0ms (21.1% of total)

ival-mult: 12.0ms (16.9% of total)

adjust: 11.0ms (15.5% of total)

ival-pow: 9.0ms (12.7% of total)

ival-log: 8.0ms (11.3% of total)

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

const: 4.0ms (5.6% of total)

ival-div: 2.0ms (2.8% of total)

ival-log1p: 2.0ms (2.8% of total)

ival-pow2: 2.0ms (2.8% of total)

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series120.0ms (1.1%)

Memory

28.9MiB live, 150.7MiB allocated

Counts

21 → 100

Calls

Call 1

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

Outputs
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/4 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -3/2 (/ (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 9/64 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (+ (/ (* (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))) (/ (* (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))))) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 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))))))
(+ (* 1/8 (pow b 3)) (pow (log 2) 3))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(pow (log 2) 3)
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))
(+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))
(+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (+ (* a (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* (log 2) (+ 1/2 (* 1/4 b))))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))
(+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (+ (* a (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (+ (* a (- (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* (log 2) (+ 1/2 (* 1/4 b))))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
(log (+ (exp a) (exp b)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(pow (log (+ 1 (exp a))) 3)
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(* -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 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(+ 1 (exp a))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (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 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (* 1/2 b))
(pow (log (+ 1 (exp a))) 2)
(+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(+ (* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2)))) (pow (log (+ 1 (exp a))) 2))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))
(* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(exp b)
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) b)) (/ 1 (pow (+ 1 (exp a)) 2))))

Calls

6 calls:

Time	Variable		Point	Expression
63.0ms	a	@	inf	((* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (log (+ (exp a) (exp b))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) (+ (* (* a a) -1/192) 1/8) (+ (exp a) 1))
18.0ms	a	@	-inf	((* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (log (+ (exp a) (exp b))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) (+ (* (* a a) -1/192) 1/8) (+ (exp a) 1))
12.0ms	b	@	inf	((* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (log (+ (exp a) (exp b))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) (+ (* (* a a) -1/192) 1/8) (+ (exp a) 1))
10.0ms	b	@	-inf	((* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (log (+ (exp a) (exp b))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) (+ (* (* a a) -1/192) 1/8) (+ (exp a) 1))
8.0ms	a	@	0	((* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (log (+ (exp a) (exp b))) (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (log (+ 1 (exp a))) 3) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) (+ (* (* a a) -1/192) 1/8) (+ (exp a) 1))

simplify148.0ms (1.4%)

Memory

-6.5MiB live, 143.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	3531
1	1503	3287
2	5496	3120
0	8242	2725

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 100

Calls

Call 1

Inputs
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/4 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -3/2 (/ (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 9/64 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (+ (/ (* (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))) (/ (* (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))))) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 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))))))
(+ (* 1/8 (pow b 3)) (pow (log 2) 3))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(pow (log 2) 3)
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))
(+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))
(+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (+ (* a (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* (log 2) (+ 1/2 (* 1/4 b))))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))
(+ (* 1/4 (pow b 2)) (+ (* a (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (+ (* a (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (+ (* a (- (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (* (log 2) (+ 1/2 (* 1/4 b))))) (* 1/4 (pow b 2)))) (* (log 2) (- (log 2) (* 1/2 b)))))
1/8
(+ 1/8 (* -1/192 (pow a 2)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
(log (+ (exp a) (exp b)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(pow (log (+ 1 (exp a))) 3)
(log (+ 1 (exp a)))
(exp a)
(+ (exp a) (exp b))
(* -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 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(* -1/192 (pow a 2))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(+ 1 (exp a))
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2))))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (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 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (* 1/2 b))
(pow (log (+ 1 (exp a))) 2)
(+ (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a)))) (pow (log (+ 1 (exp a))) 2))
(+ (* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2)))) (pow (log (+ 1 (exp a))) 2))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))
(* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(exp b)
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (+ (/ 1 (pow (+ 1 (exp a)) 2)) (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp a))) 2) b)) (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) b)) (/ 1 (pow (+ 1 (exp a)) 2))))

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

rewrite209.0ms (2%)

Memory

17.7MiB live, 257.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	296
0	81	296
1	309	292
2	2398	292
0	8805	292

Stop Event

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

Counts

21 → 583

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.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 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(.f64 (.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 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.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 (fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.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))) (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.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 (+.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 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.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 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)))) (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 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 9 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (pow.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64))))) (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 (neg.f64 (.f64 (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 9 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (pow.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.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))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64))))) (neg.f64 (.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 9 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64))))) (neg.f64 (.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (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 6 binary64)) (pow.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 9 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64))) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.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 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.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 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.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 (.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 9 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (pow.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64))))
(/.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)))) (-.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 (.f64 (pow.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 9 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (pow.f64 (.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64))))
(/.f64 (*.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))) #s(literal 1 binary64)) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)))) (.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 9 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)))) (.f64 (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (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 6 binary64)) (pow.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64))) #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))) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (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 9 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64))) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (.f64 (expm1.f64 a) #s(literal 1 binary64))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))

eval151.0ms (1.4%)

Memory: -15.6MiB live, 145.1MiB allocated
Compiler: Compiled 38 620 to 3 495 computations (91% saved)

prune22.0ms (0.2%)

Memory

14.8MiB live, 53.0MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	675	5	680
Fresh	4	7	11
Picked	2	3	5
Done	4	1	5
Total	685	16	701

Accuracy

100.0%

Counts

701 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	50.1%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	50.3%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
	2.6%	(log.f64 #s(approx (+ (exp a) (exp b)) #s(approx (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (.f64 (.f64 #s(literal 1/2 binary64) b) b))))
	50.9%	#s(approx (log (+ (exp a) (exp 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 #s(approx (+ ( (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) (fma.f64 (.f64 #s(literal 1/4 binary64) b) b (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))))
	51.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	51.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	50.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
▶	48.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	49.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
▶	50.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	50.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) a) a #s(literal 1/8 binary64)) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) b (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
▶	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
▶	51.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
✓	50.4%	#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)))))
	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 846 to 561 computations (33.7% saved)

simplify156.0ms (1.5%)

Memory

8.4MiB live, 162.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	381
0	82	381
1	129	377
2	216	373
3	512	373
4	1163	369
5	2350	369
6	3594	365
7	4477	365
8	7361	365
0	8266	339

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (1.3%)

Memory

-34.1MiB live, 166.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))
accuracy	1.1933785986016239	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
accuracy	1.3256318882595373	#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64))))
accuracy	3.5260258661314667	#s(approx (+ (exp a) 1) #s(literal 2 binary64))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))
accuracy	1.1129442631282163	#s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))
accuracy	3.204243438081168	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.01953125	(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
accuracy	0.6339580078273237	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
accuracy	3.847825593643164	#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) a)
accuracy	0.00390625	(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))
accuracy	3.5995821710318694	#s(approx (exp a) (+.f64 #s(literal 1 binary64) a))
accuracy	4.058360284840279	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
accuracy	0.0078125	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy	0.01171875	(+.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy	0.6339580078273237	#s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
accuracy	30.762360297446875	#s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Samples

57.0ms	113×	1	exit
51.0ms	140×	0	valid
2.0ms	2×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 591 to 119 computations (79.9% saved)

Precisions

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

ival-add: 19.0ms (20.7% of total)

adjust: 16.0ms (17.4% of total)

ival-mult: 14.0ms (15.2% of total)

ival-pow: 11.0ms (12% of total)

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

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

ival-log1p: 5.0ms (5.4% of total)

ival-pow2: 5.0ms (5.4% of total)

ival-exp: 4.0ms (4.4% of total)

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

exact: 1.0ms (1.1% of total)

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

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

series86.0ms (0.8%)

Memory

5.1MiB live, 162.1MiB allocated

Counts

21 → 85

Calls

Call 1

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

Outputs
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/4 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -3/2 (/ (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 9/64 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (+ (/ (* (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))) (/ (* (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))))) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 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))))))
(+ (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))) (* a (+ (* a (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(log (+ (exp a) (exp b)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(log (+ 1 (exp a)))
(exp a)
a
(* a (+ 1 (/ 1 a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(* (pow a 2) (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (* a (+ 1 (exp b))))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (/ (log (+ 1 (exp b))) (pow a 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))
(* 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))))
(+ (exp a) (exp b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(* -1 (* (pow a 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* 1/2 (/ 1 (+ 1 (exp b)))))))
(* (pow a 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* 1/2 (/ 1 (+ 1 (exp b)))))) (/ 1 (* a (+ 1 (exp b))))))
(* (pow a 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* 1/2 (/ 1 (+ 1 (exp b)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b)))) a))))
(* (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))))))
(+ (log 2) (* a (+ 1/2 (+ (* -1/8 a) (* 1/4 a)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/8 a) (* 1/4 a)))) (* b (+ 1/2 (* a (- (+ (* -1/8 a) (* 1/8 a)) 1/4))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/8 a) (* 1/4 a)))) (* b (+ 1/2 (+ (* a (- (+ (* -1/8 a) (* 1/8 a)) 1/4)) (* b (+ 1/8 (* a (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (* 1/2 (+ (* -1/4 a) (* 3/16 a))))))))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/8 a) (* 1/4 a)))) (* b (+ 1/2 (+ (* a (- (+ (* -1/8 a) (* 1/8 a)) 1/4)) (* b (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))) (* 1/2 (+ (* -1 (+ (* -1/4 a) (* 3/16 a))) (+ (* -3/16 a) (* 5/48 a)))))))) (* a (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (* 1/2 (+ (* -1/4 a) (* 3/16 a)))))))))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (* 1/2 b))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))
(* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))
(* b (+ 1/2 (/ (log 2) b)))
(+ (log (+ 1 (exp b))) (* a (+ (* -1/2 (/ a (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* b (+ 1/2 (/ 1 b)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	b	@	-inf	((log (+ (exp a) (exp b))) (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (exp a) 1))
18.0ms	a	@	-inf	((log (+ (exp a) (exp b))) (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (exp a) 1))
18.0ms	b	@	inf	((log (+ (exp a) (exp b))) (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (exp a) 1))
17.0ms	a	@	inf	((log (+ (exp a) (exp b))) (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (exp a) 1))
8.0ms	b	@	0	((log (+ (exp a) (exp b))) (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (+ (* (+ (* 1/2 b) 1) b) (+ (exp a) 1)) (+ (* 1/2 b) 1) (+ (exp a) 1))

simplify166.0ms (1.6%)

Memory

39.7MiB live, 221.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	478	3069
1	1555	2832
2	5633	2724
0	8192	2380

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 84

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))))))
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/4 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -3/2 (/ (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 9/64 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (+ 1/2 (* 1/4 b))) (+ (* 1/2 (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))) (* (log 2) (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1 (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (+ (* -3/16 (pow b 2)) (* 5/48 (pow b 2)))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (+ (/ (* (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2)))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))) (/ (* (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))))) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 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))))))
(+ (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))) (* a (+ (* a (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
1/2
(+ 1/2 (* 1/8 a))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(log (+ (exp a) (exp b)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (/ (pow b 2) (pow (+ 1 (exp a)) 2))))
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(log (+ 1 (exp a)))
(exp a)
a
(* a (+ 1 (/ 1 a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(* (pow a 2) (- (* 1/2 (/ 1 (+ 1 (exp b)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (* a (+ 1 (exp b))))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))
(* (pow a 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (/ 1 (* a (+ 1 (exp b)))) (/ (log (+ 1 (exp b))) (pow a 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))
(* 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))))
(+ (exp a) (exp b))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(* -1 (* (pow a 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* 1/2 (/ 1 (+ 1 (exp b)))))))
(* (pow a 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* 1/2 (/ 1 (+ 1 (exp b)))))) (/ 1 (* a (+ 1 (exp b))))))
(* (pow a 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (* 1/2 (/ 1 (+ 1 (exp b)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b)))) a))))
(* (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))))))
(+ (log 2) (* a (+ 1/2 (+ (* -1/8 a) (* 1/4 a)))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/8 a) (* 1/4 a)))) (* b (+ 1/2 (* a (- (+ (* -1/8 a) (* 1/8 a)) 1/4))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/8 a) (* 1/4 a)))) (* b (+ 1/2 (+ (* a (- (+ (* -1/8 a) (* 1/8 a)) 1/4)) (* b (+ 1/8 (* a (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (* 1/2 (+ (* -1/4 a) (* 3/16 a))))))))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* -1/8 a) (* 1/4 a)))) (* b (+ 1/2 (+ (* a (- (+ (* -1/8 a) (* 1/8 a)) 1/4)) (* b (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (+ (* -1/16 a) (* 1/24 a)))) (* 1/2 (+ (* -1 (+ (* -1/4 a) (* 3/16 a))) (+ (* -3/16 a) (* 5/48 a)))))))) (* a (+ (* -1/2 (+ (* -1/8 a) (* 1/8 a))) (* 1/2 (+ (* -1/4 a) (* 3/16 a)))))))))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (* 1/2 b))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))
(* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))
(* b (+ 1/2 (/ (log 2) b)))
(+ (log (+ 1 (exp b))) (* a (+ (* -1/2 (/ a (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* b (+ 1/2 (/ 1 b)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))

Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) b) b (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) b) b (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))) #s(literal 1/8 binary64) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) b) b (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) b) b (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) b) b (fma.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) b) b (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) a (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) b) b (.f64 (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 1/2 (/ (log 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/8 (- (log 2) (* 1/2 b))) (+ (* 1/2 (+ 1/2 (* 1/4 b))) (* (log 2) (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))) (+ (* -1/4 (pow b 2)) (* 3/16 (pow b 2))))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2)) (/ (* (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))))) (/ (pow (log 2) 2) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b))))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (* 1/2 (- (log 2) (* 1/2 b))) (* (log 2) (+ 1/2 (* 1/4 b)))) (* 1/4 (pow b 2)))) (pow (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))) 2))))) (/ (pow (log 2) 3) (+ (* 1/4 (pow b 2)) (* (log 2) (- (log 2) (* 1/2 b)))))))
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(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (- (+ (* -1 (/ (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ 1/2 (/ (log 2) b)))
(*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)
(+ (log (+ 1 (exp b))) (* a (+ (* -1/2 (/ a (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))))))
(fma.f64 (fma.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b)))
(* 1/2 (pow b 2))
(.f64 (.f64 #s(literal 1/2 binary64) b) b)
(* (pow b 2) (+ 1/2 (/ 1 b)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(.f64 (+.f64 (+.f64 (/.f64 (/.f64 (exp.f64 a) b) b) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64))) (.f64 b b))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(*.f64 (neg.f64 b) (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) b)) b) b)

rewrite201.0ms (1.9%)

Memory

15.5MiB live, 250.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	361
0	82	357
1	389	289
2	3192	289
0	9650	271

Stop Event

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

Counts

21 → 196

Calls

Call 1

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

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

eval51.0ms (0.5%)

Memory: -17.5MiB live, 97.3MiB allocated
Compiler: Compiled 13 666 to 1 327 computations (90.3% saved)

prune23.0ms (0.2%)

Memory

-5.1MiB live, 72.8MiB allocated

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	265	4	269
Fresh	3	4	7
Picked	0	5	5
Done	0	4	4
Total	268	17	285

Accuracy

100.0%

Counts

285 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))
✓	50.1%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
✓	50.3%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(approx (+ (exp a) 1) #s(literal 2 binary64)))))
	51.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	51.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	50.2%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)))))
✓	48.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	49.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
✓	50.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))
	49.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 b b) #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) b)))) #s(literal -1 binary64)))))
	50.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) a) a #s(literal 1/8 binary64)) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) b (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
✓	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	50.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))
	3.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (.f64 (.f64 a a) #s(literal 1/8 binary64)))))
✓	51.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	11.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))
✓	50.4%	#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)))))

Compiler

Compiled 1 429 to 559 computations (60.9% saved)

regimes97.0ms (0.9%)

Memory

-8.8MiB live, 133.0MiB allocated

Counts

31 → 1

Calls

Call 1

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

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:

32.0ms	b
31.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	(exp.f64 a)
9.0ms	a
7.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.0%	1	`a`
99.0%	1	`b`
99.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.0%	1	`(exp.f64 a)`
99.0%	1	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes49.0ms (0.5%)

Memory

1.2MiB live, 76.3MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	a
10.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	b
6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.9%	2	`a`
76.4%	3	`b`
99.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.9%	2	`(exp.f64 a)`
63.8%	3	`(exp.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes30.0ms (0.3%)

Memory

-3.1MiB live, 41.5MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.2%	2	`a`
98.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.2%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes14.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.2%	2	`a`
99.2%	2	`(exp.f64 a)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes22.0ms (0.2%)

Memory

-1.2MiB live, 36.7MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.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)))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.5%	2	`a`
98.5%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.1%)

Memory

-18.3MiB live, 19.7MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	(exp.f64 a)
5.0ms	a

Results

Accuracy	Segments	Branch
98.5%	2	`a`
98.5%	2	`(exp.f64 a)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes81.0ms (0.8%)

Memory

-4.7MiB live, 33.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

61.0ms	b
4.0ms	a
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
50.4%	1	`(exp.f64 b)`
50.4%	1	`b`
58.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
58.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
58.5%	2	`a`
58.5%	2	`(exp.f64 a)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

regimes13.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.9%	2	`a`
57.9%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes4.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms	a
2.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes36.0ms (0.3%)

Memory

-34.8MiB live, 10.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

31.0ms	(exp.f64 a)
2.0ms	a
1.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
57.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
57.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
57.2%	2	`a`
57.2%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -6.0b remaining (-10.6%)

Threshold costs -6b (-10.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
11.9%	1	`b`
11.9%	1	`(exp.f64 b)`
11.9%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
11.9%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
11.9%	1	`a`
11.9%	1	`(exp.f64 a)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982788394813157

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982788394813157

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982788394813157

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982788394813157

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982788394813157

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982788394813157

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982788394813157

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982788394813157

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9982788394813157

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify69.0ms (0.6%)

Memory

-1.3MiB live, 36.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	104	930
1	136	924
2	210	904
3	480	904
4	1095	898
5	2167	898
6	3633	892
7	4490	892
8	7014	892

Stop Event

1×	node 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))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (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))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) a) a #s(literal 1/8 binary64)) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) b (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.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))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (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))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) a) a #s(literal 1/8 binary64)) b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) b (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.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))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ ( (+ (* (+ (* 1/2 a) 1) (/ 1 (+ (exp b) 1))) (* -1/2 (/ a (pow (+ (exp b) 1) 2)))) a) (log (+ 1 (exp b)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (pow (+ (* (log (+ 1 (exp a))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))) (pow (/ b (+ 1 (exp a))) 2)) -1)) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))))

soundness1.1s (10.8%)

Memory

16.1MiB live, 765.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	1329
1	1040	1227
2	3603	1156
0	8432	1008
0	39	225
0	71	222
1	284	222
2	2363	222
0	8255	219
0	478	3069
1	1555	2832
2	5633	2724
0	8192	2380
0	99	370
1	274	370
2	769	362
3	2539	354
0	8583	306
0	480	3531
1	1503	3287
2	5496	3120
0	8242	2725

Stop Event

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

Compiler

Compiled 1 245 to 401 computations (67.8% saved)

preprocess142.0ms (1.3%)

Memory: -31.1MiB live, 222.3MiB allocated
Compiler: Compiled 2 014 to 294 computations (85.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	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%)

analyze180.0ms (1.7%)

sample5.4s (50.5%)

explain240.0ms (2.2%)

preprocess30.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize67.0ms (0.6%)

series141.0ms (1.3%)

simplify182.0ms (1.7%)

rewrite65.0ms (0.6%)

eval15.0ms (0.1%)

prune8.0ms (0.1%)

simplify35.0ms (0.3%)

localize187.0ms (1.8%)

series143.0ms (1.3%)

simplify136.0ms (1.3%)

rewrite204.0ms (1.9%)

eval129.0ms (1.2%)

prune32.0ms (0.3%)

simplify142.0ms (1.3%)

localize144.0ms (1.3%)

series120.0ms (1.1%)

simplify148.0ms (1.4%)

rewrite209.0ms (2%)

eval151.0ms (1.4%)

prune22.0ms (0.2%)

simplify156.0ms (1.5%)

localize139.0ms (1.3%)

series86.0ms (0.8%)

simplify166.0ms (1.6%)

rewrite201.0ms (1.9%)

eval51.0ms (0.5%)

prune23.0ms (0.2%)

regimes97.0ms (0.9%)

regimes49.0ms (0.5%)

regimes30.0ms (0.3%)

regimes14.0ms (0.1%)

regimes22.0ms (0.2%)

regimes15.0ms (0.1%)

regimes81.0ms (0.8%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes36.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify69.0ms (0.6%)

soundness1.1s (10.8%)

preprocess142.0ms (1.3%)

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