Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze136.0ms (1.1%)

Memory

-1.6MiB live, 192.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample4.7s (38.7%)

Memory

151.4MiB live, 5 206.8MiB allocated

Samples

2.1s	6 838×	5	exit
832.0ms	1 537×	2	valid
515.0ms	2 393×	1	valid
267.0ms	4 326×	0	valid
111.0ms	986×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-log: 1.1s (39.4% of total)

ival-exp: 872.0ms (31.8% of total)

adjust: 531.0ms (19.3% of total)

ival-add: 240.0ms (8.7% of total)

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

ival-assert: 7.0ms (0.3% of total)

Bogosity

explain164.0ms (1.4%)

Memory

-10.7MiB live, 149.1MiB 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	115	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	6	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	6
↳	`(exp.f64 a)`	overflow	2
↳	`(exp.f64 b)`	overflow	4
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	2
↳	`(exp.f64 a)`	underflow	64
↳	`(exp.f64 b)`	underflow	57

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

72.0ms	94×	2	valid
24.0ms	122×	1	valid
22.0ms	296×	0	valid

Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-log: 63.0ms (62.9% of total)

ival-exp: 26.0ms (26% of total)

ival-add: 7.0ms (7% of total)

adjust: 4.0ms (4% of total)

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

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

preprocess16.0ms (0.1%)

Memory

-14.0MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`sub-neg`
22×	`+-commutative`
16×	`exp-diff`
16×	`exp-sum`
14×	`*-commutative`

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)))

Symmetry

(sort a b)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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)))

Rules

4×	`lift-exp.f64`
4×	`lower-+.f32`
4×	`lower-exp.f32`
2×	`lift-+.f64`
2×	`lower-+.f64`

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

localize58.0ms (0.5%)

Memory

-2.6MiB live, 73.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 b)
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	27.75173747012286	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

25.0ms	47×	2	valid
16.0ms	61×	1	valid
9.0ms	148×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-log: 22.0ms (53.6% of total)

ival-exp: 15.0ms (36.5% of total)

adjust: 2.0ms (4.9% of total)

ival-add: 2.0ms (4.9% of total)

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

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

series104.0ms (0.9%)

Memory

25.1MiB live, 98.0MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())

Outputs
#s(alt (log (+ 1 (exp b))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ a (exp b))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 a) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 b) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
41.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
31.0ms	a	@	inf	(log (+ (exp a) (exp b)))
15.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
14.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

simplify305.0ms (2.5%)

Memory

-2.3MiB live, 357.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
5 052×	`lower-+.f64`
5 052×	`lower-+.f32`
4 904×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite82.0ms (0.7%)

Memory

17.3MiB live, 129.8MiB allocated

Rules

812×	`lower-*.f64`
812×	`lower-*.f32`
800×	`lower-fma.f64`
800×	`lower-fma.f32`
614×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	15
1	24	15
2	150	15
0	1409	15

Stop Event

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

Counts

4 → 77

Calls

Call 1

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

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

eval23.0ms (0.2%)

Memory: -8.6MiB live, 33.5MiB allocated
Compiler: Compiled 2 954 to 386 computations (86.9% saved)

prune23.0ms (0.2%)

Memory

-28.4MiB live, 49.7MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	141	8	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	9	150

Accuracy

98.4%

Counts

150 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	56.6%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	55.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	55.5%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
▶	54.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	98.0%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
▶	97.9%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	52.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	53.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 220 to 142 computations (35.5% saved)

simplify46.0ms (0.4%)

Memory

25.3MiB live, 64.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 a)
cost-diff	0	(log1p.f64 (exp.f64 a))
cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
cost-diff	0	#s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 a)
cost-diff	0	(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff	0	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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	(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
cost-diff	6976	(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))

Rules

1 674×	`lower-fma.f32`
1 662×	`lower-fma.f64`
642×	`lower-*.f32`
640×	`lower-*.f64`
384×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	292
0	62	292
1	105	289
2	195	289
3	462	287
4	907	287
5	1299	280
6	1483	280
7	1523	280
8	1523	280
0	1523	277

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize191.0ms (1.6%)

Memory

-18.1MiB live, 228.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 a)
accuracy	0.00390625	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy	0.00390625	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
accuracy	1.3556842210272568	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
accuracy	0.01171875	(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.015625	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	2.6672683606133742	#s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	27.75173747012286	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	3.280103145386084	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	27.75173747012286	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	0	(log1p.f64 (exp.f64 a))
accuracy	0	(exp.f64 a)
accuracy	29.984757860369953	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.00390625	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))
accuracy	0.0234375	(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
accuracy	1.26611523396201	#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))

Samples

47.0ms	47×	2	valid
43.0ms	61×	1	valid
37.0ms	148×	0	valid

Compiler

Compiled 229 to 34 computations (85.2% saved)

Precisions

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

ival-add: 25.0ms (25.2% of total)

ival-log: 21.0ms (21.2% of total)

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

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

adjust: 10.0ms (10.1% of total)

ival-div: 7.0ms (7.1% of total)

const: 4.0ms (4% of total)

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

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

exact: 1.0ms (1% of total)

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

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

series88.0ms (0.7%)

Memory

-3.3MiB live, 112.1MiB allocated

Counts

19 → 360

Calls

Call 1

Inputs
#s(alt (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (patch (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())
#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())
#s(alt #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (patch #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #<representation binary64>) () ())
#s(alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (+ 1 (exp a))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (patch (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (patch (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (patch (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) (taylor -inf b) (#s(alt (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (pow b 2)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (pow b 2)) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 b) (taylor 0 a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) (taylor 0 a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))) (taylor 0 a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())

Calls

90 calls:

Time	Variable		Point	Expression
18.0ms	a	@	-inf	(+ (* b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a))))
17.0ms	b	@	inf	(+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))
14.0ms	a	@	inf	(+ (* b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a))))
5.0ms	a	@	-inf	(+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))
3.0ms	b	@	0	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))

simplify322.0ms (2.7%)

Memory

47.1MiB live, 273.9MiB allocated

Algorithm

1×	egg-herbie

Rules

19 276×	`lower-fma.f64`
19 276×	`lower-fma.f32`
4 972×	`lower-*.f64`
4 972×	`lower-*.f32`
3 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	4174
1	988	4043
2	3363	3900
3	7705	3900
0	8665	3505

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

rewrite547.0ms (4.5%)

Memory

-34.1MiB live, 281.9MiB allocated

Rules

4 506×	`lower-/.f32`
4 500×	`lower-/.f64`
4 500×	`lower-*.f32`
4 498×	`lower-*.f64`
3 236×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	220
0	62	217
1	261	217
2	2252	217
0	8932	214

Stop Event

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

Counts

19 → 682

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 b #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64))) (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(fma.f64 b (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))
(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (*.f64 b #s(literal -1/2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) b (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(fma.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))
(fma.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64)))) (/.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 b (.f64 b b)) #s(literal -1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -6 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 b #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64)))) (/.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 b (.f64 b b)) #s(literal -1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -6 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 b #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 b (.f64 b b)) #s(literal -1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -6 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64)))) (/.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 b #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 b (.f64 b b)) #s(literal -1/8 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -6 binary64)) (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64)) (/.f64 (-.f64 (.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b #s(literal -1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -4 binary64)))) (/.f64 (-.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 b #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (.f64 b #s(literal -1/2 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (.f64 b #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (fma.f64 (.f64 b #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
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(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 b (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 b b) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 b #s(literal 1/6 binary64)) b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 1/6 binary64) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
(neg.f64 (/.f64 b (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))))
(neg.f64 (/.f64 (neg.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) (/.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) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal 1 binary64))))
(/.f64 (neg.f64 b) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))))
(/.f64 (*.f64 b #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))))))
(/.f64 (neg.f64 (*.f64 b #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #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))
(*.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) b)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))

eval385.0ms (3.2%)

Memory: 13.4MiB live, 201.6MiB allocated
Compiler: Compiled 39 551 to 3 023 computations (92.4% saved)

prune223.0ms (1.8%)

Memory

21.1MiB live, 184.8MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 211	12	1 223
Fresh	1	2	3
Picked	4	1	5
Done	1	0	1
Total	1 217	15	1 232

Accuracy

98.4%

Counts

1 232 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	55.5%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
▶	74.9%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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))))))
	59.5%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))))
	74.9%	#s(approx (log (+ (exp a) (exp b))) (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (*.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))))
	67.4%	#s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (/.f64 #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))))))
	52.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	53.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	49.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	51.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	52.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a)))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
▶	52.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
▶	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	51.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
	51.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 442 to 262 computations (40.7% saved)

simplify118.0ms (1%)

Memory

-6.0MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
cost-diff	256	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
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 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (exp a) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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))))))

Rules

1 256×	`lower-fma.f32`
1 254×	`lower-fma.f64`
848×	`lower-*.f32`
844×	`lower-*.f64`
678×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	294
0	63	290
1	89	290
2	130	290
3	210	290
4	340	290
5	587	290
6	1200	290
7	2695	290
8	3452	290
9	3534	290
10	3589	290
11	3638	290
12	3678	290
13	3705	290
14	3720	290
15	3722	290
0	3722	290

Stop Event

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

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

localize234.0ms (1.9%)

Memory

7.5MiB live, 236.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
accuracy	27.769429725904608	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
accuracy	0	(exp.f64 a)
accuracy	0.00390625	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy	1.3556842210272568	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
accuracy	32.09131731774135	#s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
accuracy	1.3556842210272568	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
accuracy	29.038537977277592	#s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
accuracy	0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	29.38286588800379	#s(approx (exp a) #s(literal 1 binary64))
accuracy	29.984757860369953	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	0.02734375	(-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))))
accuracy	0.53125	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
accuracy	1.3556842210272568	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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))))))
accuracy	15.18291073478598	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))

Samples

75.0ms	62×	1	valid
56.0ms	148×	0	valid
52.0ms	46×	2	valid

Compiler

Compiled 229 to 29 computations (87.3% saved)

Precisions

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

ival-log: 41.0ms (34.5% of total)

ival-mult: 28.0ms (23.5% of total)

ival-exp: 12.0ms (10.1% of total)

adjust: 8.0ms (6.7% of total)

ival-div: 7.0ms (5.9% of total)

ival-add: 7.0ms (5.9% of total)

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

ival-pow2: 4.0ms (3.4% of total)

ival-sub: 3.0ms (2.5% of total)

ival-log1p: 3.0ms (2.5% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

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

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

series150.0ms (1.2%)

Memory

6.1MiB live, 199.4MiB allocated

Counts

20 → 384

Calls

Call 1

Inputs
#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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))))) (patch (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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))))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))) (patch (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (patch (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())

Outputs
#s(alt (log (+ 1 (exp b))) (taylor 0 a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) (taylor 0 a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) (taylor 0 a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.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)))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ a (exp b))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 a) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ())

Calls

96 calls:

Time	Variable		Point	Expression
63.0ms	a	@	-inf	(log (/ 1 (+ (exp a) (exp b))))
18.0ms	b	@	inf	(log (/ 1 (+ (exp a) (exp b))))
16.0ms	b	@	-inf	(log (/ 1 (+ (exp a) (exp b))))
16.0ms	a	@	inf	(log (/ 1 (+ (exp a) (exp b))))
3.0ms	b	@	0	(+ (* b 1/2) (log 2))

simplify266.0ms (2.2%)

Memory

-5.3MiB live, 388.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 564×	`lower-fma.f64`
8 564×	`lower-fma.f32`
3 938×	`lower-*.f64`
3 938×	`lower-*.f32`
3 868×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	430	5672
1	1256	5548
2	3998	5475
3	7563	5473
0	8081	4887

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

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

rewrite234.0ms (1.9%)

Memory

43.5MiB live, 430.4MiB allocated

Rules

4 658×	`lower-/.f32`
4 652×	`lower-/.f64`
4 312×	`lower-fma.f32`
4 310×	`lower-fma.f64`
3 834×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	231
0	63	227
1	198	191
2	1384	191
0	8617	191

Stop Event

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

Counts

20 → 470

Calls

Call 1

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

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

eval192.0ms (1.6%)

Memory: -16.0MiB live, 345.0MiB allocated
Compiler: Compiled 28 678 to 2 185 computations (92.4% saved)

prune124.0ms (1%)

Memory

-5.9MiB live, 273.5MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1 076	10	1 086
Fresh	3	6	9
Picked	2	3	5
Done	0	1	1
Total	1 081	20	1 101

Accuracy

98.4%

Counts

1 101 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))))
▶	55.5%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	52.8%	#s(approx (neg (log (/ 1 (+ (exp a) (exp b))))) (log1p.f64 (exp.f64 b)))
▶	74.9%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
	25.3%	#s(approx (log (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (log (+ 1 (exp a))) 2) (* (* b b) (pow (+ 1 (exp a)) -2))) (neg.f64 (/.f64 (*.f64 b b) (pow.f64 (+.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))))))
▶	59.5%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))))
✓	53.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	49.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	51.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	74.0%	#s(approx (log (+ (exp a) (exp b))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64))))
	52.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a)))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
✓	52.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
	52.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))))
✓	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	5.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 a #s(literal 2 binary64))))))
	52.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64)))))))
	5.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
▶	11.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64)))))
	51.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
▶	51.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 513 to 318 computations (38% saved)

simplify306.0ms (2.5%)

Memory

-13.3MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))))
cost-diff	192	(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))
cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
cost-diff	0	#s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
cost-diff	0	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64)))))
cost-diff	0	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64))))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))

Rules

4 524×	`lower-fma.f32`
4 518×	`lower-fma.f64`
2 196×	`lower-*.f32`
2 188×	`lower-*.f64`
1 186×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	416
0	79	406
1	117	405
2	181	405
3	322	403
4	529	403
5	882	403
6	1530	403
7	2364	403
8	3257	403
9	3789	403
10	3925	403
11	3975	403
12	3987	403
13	4285	403
14	4801	403
15	5384	403
16	5789	403
17	6007	403
18	6301	403
19	6429	403
20	6657	403
21	6761	403
22	7214	403
23	7381	403
24	7881	403
0	8009	403

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

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

localize197.0ms (1.6%)

Memory

11.9MiB live, 205.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
accuracy	0.0078125	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
accuracy	1.3556842210272568	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))))
accuracy	3.6268133227479846	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy	0	(exp.f64 a)
accuracy	1.936565908897962	#s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
accuracy	16.064184498546318	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
accuracy	0	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	15.96660285620195	#s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
accuracy	16.955717280179055	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
accuracy	0	(*.f64 b #s(literal 1/2 binary64))
accuracy	1.3556842210272568	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64)))))
accuracy	13.36569718936169	#s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64)))
accuracy	23.075478759644003	#s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64))))
accuracy	0.37890625	(sqrt.f64 (log1p.f64 (exp.f64 a)))
accuracy	0.38671875	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
accuracy	1.3556842210272568	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
accuracy	9.902674315225012	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Samples

38.0ms	31×	2	valid
35.0ms	102×	0	valid
32.0ms	92×	0	invalid
20.0ms	31×	1	valid

Compiler

Compiled 342 to 39 computations (88.6% saved)

Precisions

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

ival-log: 28.0ms (28.4% of total)

ival-exp: 15.0ms (15.2% of total)

adjust: 11.0ms (11.2% of total)

ival-mult: 10.0ms (10.2% of total)

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

ival-pow: 7.0ms (7.1% of total)

ival-div: 6.0ms (6.1% of total)

ival-sub: 3.0ms (3% of total)

ival-log1p: 3.0ms (3% of total)

ival-pow2: 3.0ms (3% of total)

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

exact: 1.0ms (1% of total)

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

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

series160.0ms (1.3%)

Memory

31.1MiB live, 222.6MiB allocated

Counts

24 → 456

Calls

Call 1

Inputs
#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (patch (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (patch (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (patch (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (.f64 b #s(literal 1/2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (.f64 b #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (.f64 b #s(literal 1/2 binary64)))) (patch #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (.f64 b #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ b (+ 1 (exp a))) (.f64 b #s(literal 1/2 binary64))) (patch #s(approx (/ b (+ 1 (exp a))) (.f64 b #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 b #s(literal 1/2 binary64)) (patch (.f64 b #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (patch (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (patch #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))) (patch (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (log1p.f64 (exp.f64 a))) (patch (sqrt.f64 (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #<representation binary64>) () ())

Outputs
#s(alt (log (+ 1 (exp b))) (taylor 0 a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) (taylor 0 a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) (taylor 0 a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) (patch #s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) #<representation binary64>) () ())) ())
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#s(alt (+ (log (+ 1 (exp a))) (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))) (taylor -inf b) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))) (taylor -inf b) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))) (taylor -inf b) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))) (taylor -inf b) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #<representation binary64>) () ())) ())

Calls

114 calls:

Time	Variable		Point	Expression
22.0ms	a	@	-inf	(* (log (/ (+ 1 (exp a)) b)) -1)
21.0ms	a	@	inf	(/ (- (pow (log (+ 1 (exp a))) 2) (* (* b b) (pow (pow (exp (sqrt (log (+ 1 (exp a))))) (sqrt (log (+ 1 (exp a))))) -2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
20.0ms	a	@	-inf	(/ (- (pow (log (+ 1 (exp a))) 2) (* (* b b) (pow (pow (exp (sqrt (log (+ 1 (exp a))))) (sqrt (log (+ 1 (exp a))))) -2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
18.0ms	b	@	-inf	(* (log (/ (+ 1 (exp a)) b)) -1)
16.0ms	a	@	inf	(* (log (/ (+ 1 (exp a)) b)) -1)

simplify260.0ms (2.1%)

Memory

0.6MiB live, 272.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 492×	`lower-fma.f64`
9 492×	`lower-fma.f32`
4 518×	`lower-*.f64`
4 518×	`lower-*.f32`
4 102×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	456	6751
1	1402	6590
2	4529	6197
0	8064	5494

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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 (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(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))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(/ (- (pow (log 2) 2) (* 1/4 (pow b 2))) (- (log 2) (* 1/2 b)))
(- (+ (* a (- (+ (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (/ (log 2) (- (log 2) (* 1/2 b)))) (/ (* (+ 1/2 (* 1/4 b)) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)))) (/ (pow (log 2) 2) (- (log 2) (* 1/2 b)))) (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))))
(- (+ (* a (- (+ (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (+ (* a (- (+ (* -1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (+ (* 1/16 (/ (* (pow b 2) (+ 1 (* 8 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2))))))))))) (- (log 2) (* 1/2 b)))) (+ (* 1/4 (/ 1 (- (log 2) (* 1/2 b)))) (* 1/4 (/ (log 2) (- (log 2) (* 1/2 b))))))) (+ (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)) (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (/ (log 2) (- (log 2) (* 1/2 b)))) (/ (* (+ 1/2 (* 1/4 b)) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)))) (- (log 2) (* 1/2 b)))))) (/ (log 2) (- (log 2) (* 1/2 b))))) (/ (* (+ 1/2 (* 1/4 b)) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)))) (/ (pow (log 2) 2) (- (log 2) (* 1/2 b)))) (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))))
(- (+ (* a (- (+ (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (+ (* a (- (+ (* -1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (+ (* 1/16 (/ (* (pow b 2) (+ 1 (* 8 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2))))))))))) (- (log 2) (* 1/2 b)))) (+ (* 1/4 (/ 1 (- (log 2) (* 1/2 b)))) (+ (* 1/4 (/ (log 2) (- (log 2) (* 1/2 b)))) (* a (- (+ (* -1 (/ (+ (* -1/4 (pow b 2)) (* 1/16 (* (pow b 2) (+ 1 (* 8 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2))))))))))))) (- (log 2) (* 1/2 b)))) (+ (* -1/16 (/ (* (pow b 2) (+ 1 (* 8 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2))))))))))) (- (log 2) (* 1/2 b)))) (+ (* 1/16 (/ (* (pow b 2) (+ (* 4 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2))))))))) (* 8 (+ 1/48 (+ (* -1/8 (/ (- 1/8 (* 1/16 (/ 1 (log 2)))) (log 2))) (+ (* 1/8 (* (sqrt (/ 1 (log 2))) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (+ (* 1/8 (/ (- 1/8 (* 1/16 (/ 1 (log 2)))) (log 2))) (+ (* 1/6 (* (sqrt (log 2)) (+ (* -3/2 (* (sqrt (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2)))))) (+ (* 1/32 (sqrt (/ 1 (pow (log 2) 3)))) (* 6 (+ (* -1/8 (* (sqrt (/ 1 (pow (log 2) 3))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (+ (* 1/384 (sqrt (/ 1 (pow (log 2) 3)))) (* 1/8 (/ (- 1/8 (* 1/16 (/ 1 (log 2)))) (log 2)))))))))) (* 1/2 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2)))))))))))))))) (- (log 2) (* 1/2 b)))) (* 1/8 (/ 1 (- (log 2) (* 1/2 b))))))) (+ (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (+ (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (/ (log 2) (- (log 2) (* 1/2 b)))) (/ (* (+ 1/2 (* 1/4 b)) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)))) (- (log 2) (* 1/2 b))) (+ (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* -1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (+ (* 1/16 (/ (* (pow b 2) (+ 1 (* 8 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2))))))))))) (- (log 2) (* 1/2 b)))) (+ (* 1/4 (/ 1 (- (log 2) (* 1/2 b)))) (* 1/4 (/ (log 2) (- (log 2) (* 1/2 b))))))) (+ (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)) (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (/ (log 2) (- (log 2) (* 1/2 b)))) (/ (* (+ 1/2 (* 1/4 b)) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)))) (- (log 2) (* 1/2 b)))))) (- (log 2) (* 1/2 b))) (/ (* (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)))))))))) (+ (/ (* (+ 1/8 (+ (* -1/8 b) (* 1/8 b))) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)) (/ (* (+ 1/2 (* 1/4 b)) (- (+ (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))) (/ (log 2) (- (log 2) (* 1/2 b)))) (/ (* (+ 1/2 (* 1/4 b)) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)))) (- (log 2) (* 1/2 b)))))) (/ (log 2) (- (log 2) (* 1/2 b))))) (/ (* (+ 1/2 (* 1/4 b)) (- (pow (log 2) 2) (* 1/4 (pow b 2)))) (pow (- (log 2) (* 1/2 b)) 2)))) (/ (pow (log 2) 2) (- (log 2) (* 1/2 b)))) (* 1/4 (/ (pow b 2) (- (log 2) (* 1/2 b)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (- (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(- (pow (log 2) 2) (* 1/4 (pow b 2)))
(- (+ (* a (+ (log 2) (* 1/4 (pow b 2)))) (pow (log 2) 2)) (* 1/4 (pow b 2)))
(- (+ (* a (+ (log 2) (+ (* 1/4 (pow b 2)) (* a (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 1/16 (* (pow b 2) (+ 1 (* 8 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2)))))))))))) (* 1/4 (log 2))))))))) (pow (log 2) 2)) (* 1/4 (pow b 2)))
(- (+ (* a (+ (log 2) (+ (* 1/4 (pow b 2)) (* a (+ 1/4 (+ (* -1/4 (pow b 2)) (+ (* 1/16 (* (pow b 2) (+ 1 (* 8 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2)))))))))))) (+ (* 1/4 (log 2)) (* a (+ 1/8 (+ (* -1 (+ (* -1/4 (pow b 2)) (* 1/16 (* (pow b 2) (+ 1 (* 8 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2)))))))))))))) (+ (* -1/16 (* (pow b 2) (+ 1 (* 8 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2)))))))))))) (* 1/16 (* (pow b 2) (+ (* 4 (+ 1/8 (+ (* 1/16 (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2))))))))) (* 8 (+ 1/48 (+ (* -1/8 (/ (- 1/8 (* 1/16 (/ 1 (log 2)))) (log 2))) (+ (* 1/8 (* (sqrt (/ 1 (log 2))) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (+ (* 1/8 (/ (- 1/8 (* 1/16 (/ 1 (log 2)))) (log 2))) (+ (* 1/6 (* (sqrt (log 2)) (+ (* -3/2 (* (sqrt (/ 1 (log 2))) (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2)))))) (+ (* 1/32 (sqrt (/ 1 (pow (log 2) 3)))) (* 6 (+ (* -1/8 (* (sqrt (/ 1 (pow (log 2) 3))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (+ (* 1/384 (sqrt (/ 1 (pow (log 2) 3)))) (* 1/8 (/ (- 1/8 (* 1/16 (/ 1 (log 2)))) (log 2)))))))))) (* 1/2 (+ (* 1/2 (* (sqrt (log 2)) (- (* 2 (+ (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (* 1/32 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2)))))) (+ (* 1/2 (- 1/8 (* 1/16 (/ 1 (log 2))))) (* 1/16 (/ 1 (log 2))))))))))))))))))))))))))) (pow (log 2) 2)) (* 1/4 (pow b 2)))
(- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(pow (log (+ 1 (exp a))) 2)
(+ (* -1 (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (pow (log (+ 1 (exp a))) 2))
(+ (* -1 (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (pow (log (+ 1 (exp a))) 2))
(+ (* -1 (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (pow (log (+ 1 (exp a))) 2))
(* -1 (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(* (pow b 2) (- (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)) (/ 1 (pow (+ 1 (exp a)) 2))))
(* -1 (/ (pow b 2) (pow (+ 1 (exp a)) 2)))
(* (pow b 2) (- (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (/ (pow (log (+ 1 (exp a))) 2) (pow b 2)) (/ 1 (pow (+ 1 (exp a)) 2))))
(pow (log 2) 2)
(+ (* a (log 2)) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
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(+ (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 (+ (exp a) (exp b)))
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(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(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))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (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)))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
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(log (+ 1 (exp a)))
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(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 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))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 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))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(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))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* 1/2 a)
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(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))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (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)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 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))))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(+ 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 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 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))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* -1 (log (/ 2 b)))
(+ (* -1 (log (/ 2 b))) (* -1/2 a))
(+ (* -1 (log (/ 2 b))) (* a (- (* -1/8 a) 1/2)))
(+ (* -1 (log (/ 2 b))) (* a (- (* a (- (* 1/192 (pow a 2)) 1/8)) 1/2)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b))))
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b))))
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b))))
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b))))
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b))))
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b))))
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b))))
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b))))
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))))
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))))
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))))
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(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))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (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)))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(sqrt (log 2))
(+ (sqrt (log 2)) (* 1/4 (* a (sqrt (/ 1 (log 2))))))
(+ (sqrt (log 2)) (* a (+ (* 1/4 (sqrt (/ 1 (log 2)))) (* 1/2 (* (* a (- 1/8 (* 1/16 (/ 1 (log 2))))) (sqrt (/ 1 (log 2))))))))
(+ (sqrt (log 2)) (* a (+ (* 1/4 (sqrt (/ 1 (log 2)))) (* a (+ (* -1/8 (* (* a (- 1/8 (* 1/16 (/ 1 (log 2))))) (sqrt (/ 1 (pow (log 2) 3))))) (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))))))))
(sqrt (log (+ 1 (exp a))))
(sqrt (log (+ 1 (exp a))))
(sqrt (log (+ 1 (exp a))))
(sqrt (log (+ 1 (exp a))))
(sqrt (log (+ 1 (exp a))))
(sqrt (log (+ 1 (exp a))))
(sqrt (log (+ 1 (exp a))))
(sqrt (log (+ 1 (exp a))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(log (/ 2 b))
(+ (log (/ 2 b)) (* 1/2 a))
(+ (log (/ 2 b)) (* a (+ 1/2 (* 1/8 a))))
(+ (log (/ 2 b)) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(log (/ (+ 1 (exp a)) b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))

Outputs
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (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 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (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 a (fma.f64 a (fma.f64 a (*.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 b (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (*.f64 b #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (- (pow (log 2) 2) (* 1/4 (pow b 2))) (- (log 2) (* 1/2 b)))
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(+ (* -1 (log (/ 2 b))) (* a (- (* a (- (* 1/192 (pow a 2)) 1/8)) 1/2)))
(-.f64 (.f64 a (fma.f64 a (fma.f64 (.f64 a a) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(* -1 (log (/ (+ 1 (exp a)) b)))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))))
(-.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))))
(-.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))))
(-.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))))
(-.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 #s(literal 1 binary64) (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 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (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 a (fma.f64 a (fma.f64 a (*.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 b (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (*.f64 b #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+ (log 2) (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 b #s(literal 1/2 binary64) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (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 b #s(literal 1/2 binary64) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (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 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (*.f64 b a) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 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))))
(* 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))))
(* 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))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -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))))
(* -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))))
(* -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))))
(sqrt (log 2))
(sqrt.f64 (log.f64 #s(literal 2 binary64)))
(+ (sqrt (log 2)) (* 1/4 (* a (sqrt (/ 1 (log 2))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 a #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 #s(literal 2 binary64))))
(+ (sqrt (log 2)) (* a (+ (* 1/4 (sqrt (/ 1 (log 2)))) (* 1/2 (* (* a (- 1/8 (* 1/16 (/ 1 (log 2))))) (sqrt (/ 1 (log 2))))))))
(fma.f64 (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))) (fma.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) (log.f64 #s(literal 2 binary64)))) a #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 #s(literal 2 binary64))))
(+ (sqrt (log 2)) (* a (+ (* 1/4 (sqrt (/ 1 (log 2)))) (* a (+ (* -1/8 (* (* a (- 1/8 (* 1/16 (/ 1 (log 2))))) (sqrt (/ 1 (pow (log 2) 3))))) (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))))))))
(fma.f64 a (fma.f64 a (.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1/128 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (fma.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) (log.f64 #s(literal 2 binary64)))) a #s(literal 1/4 binary64)))) (sqrt.f64 (log.f64 #s(literal 2 binary64))))
(sqrt (log (+ 1 (exp a))))
(sqrt.f64 (log1p.f64 (exp.f64 a)))
(sqrt (log (+ 1 (exp a))))
(sqrt.f64 (log1p.f64 (exp.f64 a)))
(sqrt (log (+ 1 (exp a))))
(sqrt.f64 (log1p.f64 (exp.f64 a)))
(sqrt (log (+ 1 (exp a))))
(sqrt.f64 (log1p.f64 (exp.f64 a)))
(sqrt (log (+ 1 (exp a))))
(sqrt.f64 (log1p.f64 (exp.f64 a)))
(sqrt (log (+ 1 (exp a))))
(sqrt.f64 (log1p.f64 (exp.f64 a)))
(sqrt (log (+ 1 (exp a))))
(sqrt.f64 (log1p.f64 (exp.f64 a)))
(sqrt (log (+ 1 (exp a))))
(sqrt.f64 (log1p.f64 (exp.f64 a)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(log (/ 2 b))
(log.f64 (/.f64 #s(literal 2 binary64) b))
(+ (log (/ 2 b)) (* 1/2 a))
(fma.f64 a #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) b)))
(+ (log (/ 2 b)) (* a (+ 1/2 (* 1/8 a))))
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) b)))
(+ (log (/ 2 b)) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(fma.f64 a (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) b)))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (* -1 (log b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (+ 1 (exp a))) (log (/ 1 b)))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (/.f64 #s(literal -1 binary64) b)))

rewrite269.0ms (2.2%)

Memory

-10.0MiB live, 337.3MiB allocated

Rules

4 708×	`lower-fma.f32`
4 702×	`lower-fma.f64`
4 236×	`lower-/.f32`
4 230×	`lower-/.f64`
4 170×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	312
0	79	344
1	254	313
2	1828	242
0	8730	242

Stop Event

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

Counts

24 → 660

Calls

Call 1

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

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)))) (+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 2 binary64))))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 2 binary64))))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (fma.f64 b (.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 4 binary64)) (fma.f64 b (.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 4 binary64)) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (fma.f64 b (.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 4 binary64)) (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (fma.f64 b (.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64)))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))))))
(fma.f64 b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) (/.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) #s(literal 1/2 binary64)) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal 2 binary64))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) #s(literal 1/2 binary64))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 b) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) #s(literal 1/2 binary64))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 b)) (neg.f64 (log.f64 b))) (.f64 (log1p.f64 (exp.f64 a)) (neg.f64 (log.f64 b))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))

eval223.0ms (1.8%)

Memory: 4.5MiB live, 281.5MiB allocated
Compiler: Compiled 41 269 to 2 923 computations (92.9% saved)

prune145.0ms (1.2%)

Memory

29.7MiB live, 265.7MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1 343	6	1 349
Fresh	1	10	11
Picked	3	2	5
Done	0	4	4
Total	1 347	22	1 369

Accuracy

98.4%

Counts

1 369 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))))
	52.3%	(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(approx (+ 1 (exp a)) #s(literal 2 binary64)))))
	52.8%	#s(approx (neg (log (/ 1 (+ (exp a) (exp b))))) (log1p.f64 (exp.f64 b)))
	57.3%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a)))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b #s(approx (+ 1 (exp a)) #s(literal 2 binary64))))))
	74.9%	#s(approx (log (+ (exp a) (exp b))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))) #s(literal -2 binary64)))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
	25.3%	#s(approx (log (+ (exp a) (exp b))) (/.f64 #s(approx (- (pow (log (+ 1 (exp a))) 2) (* (* b b) (pow (pow (exp (sqrt (log (+ 1 (exp a))))) (sqrt (log (+ 1 (exp a))))) -2))) (/.f64 (*.f64 b b) (neg.f64 (pow.f64 (+.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))))))
	59.5%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
	41.6%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 #s(approx (* (log (/ (+ 1 (exp a)) b)) -1) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)))))))
✓	53.1%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	49.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	51.4%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	74.0%	#s(approx (log (+ (exp a) (exp b))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))))) #s(literal -1 binary64))))
	52.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a)))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
✓	52.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
	52.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))))
✓	49.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	5.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 a #s(literal 2 binary64))))))
	52.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (.f64 (-.f64 (.f64 (*.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64)))))))
	5.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
✓	11.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64)))))
	51.1%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
✓	51.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))

Compiler

Compiled 869 to 327 computations (62.4% saved)

regimes69.0ms (0.6%)

Memory

-3.3MiB live, 107.6MiB allocated

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

14.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms	a
11.0ms	b
10.0ms	(exp.f64 b)
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
98.0%	1	`a`
98.0%	1	`b`
98.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.0%	1	`(exp.f64 a)`
98.0%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes325.0ms (2.7%)

Memory

-25.4MiB live, 97.0MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

6 calls:

281.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	(exp.f64 a)
9.0ms	b
9.0ms	a
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
97.9%	1	`a`
97.9%	1	`b`
97.9%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.9%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.9%	1	`(exp.f64 a)`
97.9%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes50.0ms (0.4%)

Memory

-15.1MiB live, 68.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	(exp.f64 b)
7.0ms	b
7.0ms	a
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
97.7%	2	`a`
64.2%	2	`b`
97.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.7%	2	`(exp.f64 a)`
56.6%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes13.0ms (0.1%)

Memory

-15.5MiB live, 23.6MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.6%	2	`a`
97.6%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.5%	2	`a`
97.5%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

-19.3MiB live, 19.9MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.4%	2	`a`
97.4%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes18.0ms (0.2%)

Memory

-6.0MiB live, 34.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.2%	2	`a`
97.2%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	a
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.2%	2	`a`
97.2%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes18.0ms (0.1%)

Memory

-3.3MiB live, 35.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	a
4.0ms	b
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
52.5%	1	`b`
59.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
59.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
59.4%	2	`a`
59.4%	2	`(exp.f64 a)`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes11.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
59.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
59.2%	2	`a`
59.2%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

-21.4MiB live, 17.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	(exp.f64 a)
3.0ms	a
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
58.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
58.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
58.6%	2	`a`
58.6%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes5.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

#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
58.6%	2	`a`
58.6%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

-21.6MiB live, 17.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Accuracy

Total -4.4b remaining (-7.8%)

Threshold costs -4.4b (-7.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
11.6%	1	`b`
11.6%	1	`(exp.f64 b)`
11.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
11.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
11.6%	1	`a`
11.6%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3260603026810556e-26	0.9996143545334115

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3260603026810556e-26	0.9996143545334115

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3260603026810556e-26	0.9996143545334115

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3260603026810556e-26	0.9996143545334115

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3260603026810556e-26

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3260603026810556e-26

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3260603026810556e-26

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3260603026810556e-26

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3260603026810556e-26	0.9996143545334115

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3260603026810556e-26	0.9996143545334115

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.3260603026810556e-26

Compiler

Compiled 11 to 11 computations (0% saved)

simplify13.0ms (0.1%)

Memory

-21.9MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	664
1	108	664

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.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 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a)))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ ( b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a)))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64))))) #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 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 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))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64)))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.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 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (* b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a)))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ ( b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a)))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64))))) #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 1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 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))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 b #s(literal 1/2 binary64)))))

soundness1.2s (9.5%)

Memory

32.9MiB live, 753.4MiB allocated

Rules

19 276×	`lower-fma.f64`
19 276×	`lower-fma.f32`
18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
8 564×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	4174
1	988	4043
2	3363	3900
3	7705	3900
0	8665	3505
0	430	5672
1	1256	5548
2	3998	5475
3	7563	5473
0	8081	4887
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500

Stop Event

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

Compiler

Compiled 560 to 276 computations (50.7% saved)

preprocess87.0ms (0.7%)

Memory: 8.9MiB live, 170.3MiB allocated
Compiler: Compiled 610 to 160 computations (73.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	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%)

analyze136.0ms (1.1%)

sample4.7s (38.7%)

explain164.0ms (1.4%)

preprocess16.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize58.0ms (0.5%)

series104.0ms (0.9%)

simplify305.0ms (2.5%)

rewrite82.0ms (0.7%)

eval23.0ms (0.2%)

prune23.0ms (0.2%)

simplify46.0ms (0.4%)

localize191.0ms (1.6%)

series88.0ms (0.7%)

simplify322.0ms (2.7%)

rewrite547.0ms (4.5%)

eval385.0ms (3.2%)

prune223.0ms (1.8%)

simplify118.0ms (1%)

localize234.0ms (1.9%)

series150.0ms (1.2%)

simplify266.0ms (2.2%)

rewrite234.0ms (1.9%)

eval192.0ms (1.6%)

prune124.0ms (1%)

simplify306.0ms (2.5%)

localize197.0ms (1.6%)

series160.0ms (1.3%)

simplify260.0ms (2.1%)

rewrite269.0ms (2.2%)

eval223.0ms (1.8%)

prune145.0ms (1.2%)

regimes69.0ms (0.6%)

regimes325.0ms (2.7%)

regimes50.0ms (0.4%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes18.0ms (0.2%)

regimes8.0ms (0.1%)

regimes18.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes10.0ms (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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness1.2s (9.5%)

preprocess87.0ms (0.7%)

end0.0ms (0%)

Profiling

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