Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze148.0ms (1.2%)

Memory

4.4MiB live, 194.8MiB 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)

sample4.6s (37.7%)

Memory

103.6MiB live, 5 197.0MiB allocated

Samples

2.0s	6 781×	5	exit
855.0ms	1 439×	2	valid
461.0ms	2 367×	1	valid
286.0ms	4 450×	0	valid
98.0ms	929×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-log: 1.1s (37.6% of total)

ival-exp: 1.0s (34.5% of total)

adjust: 574.0ms (19.4% of total)

ival-add: 234.0ms (7.9% of total)

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

ival-assert: 6.0ms (0.2% of total)

Bogosity

explain162.0ms (1.3%)

Memory

5.5MiB live, 162.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
118	-	-	`(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	113	1
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	4	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	4
↳	`(exp.f64 a)`	overflow	2
↳	`(exp.f64 b)`	overflow	2
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	1	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	60
↳	`(exp.f64 b)`	underflow	61

Confusion

	Predicted +	Predicted -
+	118	0
-	0	138

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	0	1	137

Precision?

0.9915966386554622

Recall?

1.0

Freqs

test

number	freq
0	138
1	118

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	136×	1	valid
42.0ms	84×	2	valid
20.0ms	292×	0	valid

Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-log: 61.0ms (62.1% of total)

ival-exp: 28.0ms (28.5% of total)

adjust: 4.0ms (4.1% of total)

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

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

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

preprocess18.0ms (0.2%)

Memory

-10.1MiB live, 26.6MiB 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.7%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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

-5.8MiB live, 73.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 b)
accuracy	0	(exp.f64 a)
accuracy	0.015625	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	27.064889838504325	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

22.0ms	42×	2	valid
18.0ms	68×	1	valid
9.0ms	146×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-log: 22.0ms (56.9% of total)

ival-exp: 12.0ms (31% of total)

adjust: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

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

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

series92.0ms (0.8%)

Memory

-12.2MiB live, 113.9MiB 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
30.0ms	a	@	inf	(log (+ (exp a) (exp b)))
20.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
17.0ms	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)))

simplify333.0ms (2.8%)

Memory

39.2MiB live, 345.6MiB 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)

rewrite76.0ms (0.6%)

Memory

-1.3MiB live, 74.2MiB 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)

eval19.0ms (0.2%)

Memory: -14.7MiB live, 22.3MiB allocated
Compiler: Compiled 2 954 to 386 computations (86.9% saved)

prune20.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	142	7	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	8	150

Accuracy

99.4%

Counts

150 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	57.7%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	55.5%	(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)))))
▶	55.1%	(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))))
▶	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)))))
▶	52.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	52.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 162 to 110 computations (32.1% saved)

simplify9.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

80×	`lower-fma.f32`
76×	`lower-fma.f64`
66×	`lower-*.f64`
66×	`lower-*.f32`
52×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	164
0	44	164
1	63	164
2	76	164
3	103	164
4	112	164
5	118	164
0	118	164

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize143.0ms (1.2%)

Memory

-50.0MiB live, 162.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 a)
accuracy	0.015625	(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	2.9408922294699287	#s(approx (exp b) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	27.064889838504325	(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)))))
accuracy	0	(exp.f64 a)
accuracy	0.015625	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	3.2556153915812343	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	27.064889838504325	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	0	(exp.f64 b)
accuracy	0.9840072073307877	(log1p.f64 (exp.f64 b))
accuracy	29.157034720922653	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
accuracy	0	(log1p.f64 (exp.f64 a))
accuracy	0	(exp.f64 a)
accuracy	30.222488027663644	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0	(log1p.f64 (exp.f64 a))
accuracy	0	(exp.f64 a)
accuracy	0.00390625	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
accuracy	1.3358659701246536	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Samples

39.0ms	42×	2	valid
26.0ms	68×	1	valid
22.0ms	146×	0	valid

Compiler

Compiled 122 to 20 computations (83.6% saved)

Precisions

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

ival-log: 23.0ms (35.1% of total)

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

adjust: 9.0ms (13.7% of total)

ival-add: 8.0ms (12.2% of total)

ival-log1p: 7.0ms (10.7% of total)

ival-mult: 3.0ms (4.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series101.0ms (0.8%)

Memory

17.8MiB live, 126.6MiB allocated

Counts

14 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
32.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
19.0ms	a	@	-inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
17.0ms	b	@	inf	(log (+ 1 (exp b)))
15.0ms	b	@	-inf	(log (+ 1 (exp b)))
3.0ms	b	@	0	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))

simplify272.0ms (2.2%)

Memory

37.3MiB live, 390.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 268×	`lower-fma.f64`
18 268×	`lower-fma.f32`
4 586×	`lower-*.f64`
4 586×	`lower-*.f32`
2 772×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	2546
1	486	2533
2	1395	2491
3	4440	2481
0	8261	2198

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)))
(+ (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 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 (+ 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 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (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)))
(+ 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)

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

rewrite245.0ms (2%)

Memory

-22.3MiB live, 300.5MiB allocated

Rules

4 884×	`lower-fma.f32`
4 880×	`lower-fma.f64`
3 922×	`lower-/.f32`
3 920×	`lower-/.f64`
3 364×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	119
0	44	119
1	162	119
2	1258	119
0	8337	119

Stop Event

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

Counts

14 → 202

Calls

Call 1

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

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

eval62.0ms (0.5%)

Memory: -0.6MiB live, 112.6MiB allocated
Compiler: Compiled 11 086 to 825 computations (92.6% saved)

prune57.0ms (0.5%)

Memory

14.7MiB live, 96.4MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	543	15	558
Fresh	2	0	2
Picked	3	2	5
Done	1	0	1
Total	549	17	566

Accuracy

99.4%

Counts

566 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.5%	(log.f64 #s(approx (+ (exp a) (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)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	60.3%	#s(approx (log (+ (exp a) (exp b))) (fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) (log1p.f64 (exp.f64 a))))
▶	79.0%	#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 (exp.f64 a) #s(literal 1 binary64)) #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)))))))
	71.0%	#s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.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))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
	52.9%	#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
✓	52.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	52.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	51.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
▶	50.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	49.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
	51.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
	49.9%	#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)))))
▶	51.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
▶	52.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
	50.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a 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 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
▶	50.8%	#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 478 to 278 computations (41.8% saved)

simplify342.0ms (2.8%)

Memory

1.5MiB live, 78.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #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 b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
cost-diff	0	(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #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 b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
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	#s(approx (exp b) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #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 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))
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 (exp.f64 a) #s(literal 1 binary64)) #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)))))))
cost-diff	320	(.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 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))

Rules

4 176×	`lower-fma.f32`
4 164×	`lower-fma.f64`
1 608×	`lower-*.f32`
1 600×	`lower-*.f64`
1 042×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	345
0	79	345
1	130	341
2	214	341
3	350	341
4	651	341
5	905	341
6	1126	341
7	1403	341
8	2019	341
9	2655	341
10	3326	341
11	4226	341
12	4780	341
13	4973	341
14	5025	341
15	5062	341
16	5096	341
17	5126	341
18	5138	341
19	5154	341
20	5173	341
21	5184	341
22	5186	341
23	5195	341
24	5196	341
25	5196	341
0	5196	333

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

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

localize332.0ms (2.7%)

Memory

8.7MiB live, 164.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
accuracy	0.32421875	(*.f64 b #s(literal -1/192 binary64))
accuracy	2.5509473729971326	#s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
accuracy	28.91489337679723	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.015625	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
accuracy	2.518075415414607	#s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
accuracy	28.91489337679723	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
accuracy	29.518954278466776	#s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
accuracy	30.008611133734775	#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	0.9840072073307877	(log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))
accuracy	3.992958330217285	#s(approx (exp b) #s(literal 1 binary64))
accuracy	28.91489337679723	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
accuracy	0.01953125	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
accuracy	0.515625	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
accuracy	1.3358659701246536	#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 (exp.f64 a) #s(literal 1 binary64)) #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)))))))
accuracy	11.901798873100951	(.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 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))

Samples

74.0ms	146×	0	valid
44.0ms	41×	2	valid
43.0ms	68×	1	valid
2.0ms	1×	5	exit

Compiler

Compiled 261 to 42 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-add: 43.0ms (32.2% of total)

ival-log: 22.0ms (16.5% of total)

ival-mult: 15.0ms (11.2% of total)

adjust: 13.0ms (9.7% of total)

ival-exp: 12.0ms (9% of total)

ival-log1p: 8.0ms (6% of total)

const: 4.0ms (3% of total)

ival-div: 4.0ms (3% of total)

ival-pow2: 4.0ms (3% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

series142.0ms (1.2%)

Memory

-21.4MiB live, 58.1MiB allocated

Counts

21 → 336

Calls

Call 1

Inputs
#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())
#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 (exp.f64 a) #s(literal 1 binary64)) #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))))))) (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 (exp.f64 a) #s(literal 1 binary64)) #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))))))) #<representation binary64>) () ())
#s(alt (-.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)))) (patch (-.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)))) #<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 b) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))) (patch (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp b) #s(literal 1 binary64)) (patch #s(approx (exp b) #s(literal 1 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 #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<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 (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (- (pow (log 2) 2) (* 1/4 (pow b 2))) (+ (log 2) (* -1/2 b))) (taylor 0 a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 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))))) (taylor 0 a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* 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))))) (taylor 0 a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))) (taylor inf a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))) (taylor inf a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))) (taylor inf a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))) (taylor inf a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))) (taylor -inf a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))) (taylor -inf a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))) (taylor -inf a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))) (taylor -inf a) (#s(alt (.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 #s(literal 1 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 (exp.f64 a) #s(literal 1 binary64)) #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)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/192 (pow b 4)) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192)) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) (patch (fma.f64 b (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/8 b)) (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))) (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))) (taylor 0 b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 (pow b 3)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192)) (taylor inf b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 (pow b 3)) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 b (fma.f64 b (.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* -1/2 b)) (taylor 0 a) (#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 (+ (log 2) (+ (* -1/2 b) (* a (+ 1/2 (* 1/4 b))))) (taylor 0 a) (#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 (+ (log 2) (+ (* -1/2 b) (* a (+ 1/2 (+ (* 1/4 b) (* a (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))))))) (taylor 0 a) (#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 (+ (log 2) (+ (* -1/2 b) (* a (+ 1/2 (+ (* 1/4 b) (* a (+ 1/8 (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))))) (taylor 0 a) (#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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor inf a) (#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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor inf a) (#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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor inf a) (#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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor inf a) (#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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor -inf a) (#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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor -inf a) (#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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor -inf a) (#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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor -inf a) (#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 (log (+ 1 (exp a))) (taylor 0 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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor 0 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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor 0 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 (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a))))) (taylor 0 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 (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 (* b (- (/ (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>) () ())) ())
#s(alt (* b (- (/ (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>) () ())) ())
#s(alt (* b (- (/ (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>) () ())) ())
#s(alt (* -1 (/ 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1/192 b) (taylor 0 b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor 0 b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor 0 b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor 0 b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor inf b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor inf b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor inf b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor inf b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor -inf b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor -inf b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor -inf b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/192 b) (taylor -inf b) (#s(alt (.f64 b #s(literal -1/192 binary64)) (patch (.f64 b #s(literal -1/192 binary64)) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
39.0ms	b	@	0	(* b -1/192)
14.0ms	a	@	0	(+ (* a 1/2) (log 2))
2.0ms	a	@	0	(* (- (pow (log (+ 1 (exp a))) 2) (* (* b b) (pow (+ (exp a) 1) -2))) (/ 1 (+ (log (+ 1 (exp a))) (/ b (- -1 (exp a))))))
2.0ms	a	@	inf	(* (- (pow (log (+ 1 (exp a))) 2) (* (* b b) (pow (+ (exp a) 1) -2))) (/ 1 (+ (log (+ 1 (exp a))) (/ b (- -1 (exp a))))))
2.0ms	a	@	-inf	(* (- (pow (log (+ 1 (exp a))) 2) (* (* b b) (pow (+ (exp a) 1) -2))) (/ 1 (+ (log (+ 1 (exp a))) (/ b (- -1 (exp a))))))

simplify301.0ms (2.5%)

Memory

42.6MiB live, 228.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 880×	`lower-fma.f64`
12 880×	`lower-fma.f32`
6 096×	`lower-*.f64`
6 096×	`lower-*.f32`
5 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	341	4648
1	1030	4536
2	3376	4491
0	8735	3951

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

Outputs
(/ (- (pow (log 2) 2) (* 1/4 (pow b 2))) (+ (log 2) (* -1/2 b)))
(/.f64 (fma.f64 b (*.f64 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 2 binary64))))
(- (+ (* 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)))))
(fma.f64 a (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 b (.f64 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 2 binary64)))))
(- (+ (* 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)))))
(fma.f64 a (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (fma.f64 a (-.f64 (fma.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal -1/16 binary64))) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (fma.f64 b (*.f64 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 2 binary64)))))
(- (+ (* 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)))))
(fma.f64 a (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (fma.f64 a (fma.f64 (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal -1/16 binary64) (fma.f64 a (-.f64 (fma.f64 (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal -1/12 binary64) (/.f64 #s(literal 1/8 binary64) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (fma.f64 (.f64 b b) (/.f64 #s(literal -1/16 binary64) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (/.f64 (-.f64 (fma.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal -1/16 binary64))) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (fma.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 b #s(literal -1/48 binary64)) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))))))) (-.f64 (.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 b b) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) (pow.f64 (fma.f64 b #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 b (.f64 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 2 binary64)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp 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)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp 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)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp 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)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp 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)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp 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)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp 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)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp 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)))))
(/ (- (pow (log (+ 1 (exp a))) 2) (/ (pow b 2) (pow (+ 1 (exp a)) 2))) (+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp 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)))))
(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 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.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 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(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))))
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(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.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 #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 a) (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (+ (* 1/8 (/ 1 (pow b 2))) (/ (log 2) (pow b 4)))) 1/192))
(.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 (.f64 b (.f64 b b)) b)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b)))))))
(* -1/192 (pow b 4))
(.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b))
(* (pow b 4) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b))))))
(* (pow b 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) (pow b 3))) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 (.f64 b (.f64 b b)) b) (-.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) (.f64 b (*.f64 b b)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 b))
(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* -1/192 (pow b 3))
(.f64 #s(literal -1/192 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (- (* 1/8 (/ 1 (pow b 2))) 1/192))
(.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (.f64 b (.f64 b b)))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))))))
(* (pow b 3) (- (+ (/ 1/2 (pow b 3)) (* 1/8 (/ 1 (pow b 2)))) 1/192))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))))))
(* -1/192 (pow b 3))
(.f64 #s(literal -1/192 binary64) (.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (- 1/192 (* 1/8 (/ 1 (pow b 2))))))
(.f64 (neg.f64 b) (.f64 (.f64 b b) (+.f64 #s(literal 1/192 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 b b)))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (neg.f64 (.f64 b (.f64 b b))))
(* -1 (* (pow b 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 b))) (pow b 2))))))
(.f64 (+.f64 #s(literal 1/192 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (.f64 b b))) (neg.f64 (.f64 b (.f64 b b))))
(+ (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 #s(literal 1/4 binary64) b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* -1/2 b) (* a (+ 1/2 (+ (* 1/4 b) (* a (+ 1/8 (+ (* -1/8 b) (* 1/8 b)))))))))
(fma.f64 a (fma.f64 #s(literal 1/4 binary64) b (fma.f64 a #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 2) (+ (* -1/2 b) (* a (+ 1/2 (+ (* 1/4 b) (* a (+ 1/8 (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))))))
(fma.f64 b #s(literal -1/2 binary64) (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 b #s(literal -1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) b #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* -1 (/ 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))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* -1 (/ b (+ 1 (exp a)))))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (- (/ (log (+ 1 (exp a))) b) (/ 1 (+ 1 (exp a)))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (- (/ (log (+ 1 (exp a))) b) (/ 1 (+ 1 (exp a)))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (- (/ (log (+ 1 (exp a))) b) (/ 1 (+ 1 (exp a)))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (/.f64 (log1p.f64 (exp.f64 a)) b) (/.f64 (neg.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))
(* -1/192 b)
(*.f64 b #s(literal -1/192 binary64))

rewrite612.0ms (5.1%)

Memory

-16.2MiB live, 225.6MiB allocated

Rules

4 104×	`lower-fma.f32`
4 092×	`lower-fma.f64`
3 780×	`lower-/.f32`
3 776×	`lower-/.f64`
3 740×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	266
0	79	262
1	307	262
2	2314	262
0	8495	254

Stop Event

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

Counts

21 → 348

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (neg.f64 (.f64 b (.f64 b (pow.f64 (+.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 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) (.f64 (neg.f64 (.f64 b (.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(-.f64 (/.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 b (.f64 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))))))
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(.f64 (fma.f64 (.f64 b (fma.f64 (.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) (.f64 b (fma.f64 (.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (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 #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 (/.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 1 binary64)) (/.f64 (/.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(literal 1 binary64)))
(-.f64 (/.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)))))) (/.f64 (.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)))))))
(-.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.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)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (-.f64 #s(literal -1 binary64) (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)))) (expm1.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) (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) #s(literal 1 binary64)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (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) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (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) (neg.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) #s(literal -1 binary64))
(/.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))) (fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (+.f64 (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))) (fma.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 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.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)))))
(/.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 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) #s(literal 1 binary64))
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (neg.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)))) (neg.f64 (fma.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 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))) (neg.f64 (*.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))))))
(/.f64 (neg.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))))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64))))) (neg.f64 (*.f64 #s(literal 1 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 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (.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 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (.f64 (.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64))))) (*.f64 (-.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 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.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)))))) (neg.f64 (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (.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)))) (neg.f64 (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) #s(literal 1 binary64))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (/.f64 (-.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 (+.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)))))
(.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))))))
(*.f64 (/.f64 (fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) (fma.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (-.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(*.f64 b #s(literal -1/192 binary64))
(*.f64 #s(literal -1/192 binary64) b)

eval303.0ms (2.5%)

Memory: -3.7MiB live, 107.5MiB allocated
Compiler: Compiled 21 024 to 1 355 computations (93.6% saved)

prune133.0ms (1.1%)

Memory

0.9MiB live, 124.4MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	675	11	686
Fresh	5	5	10
Picked	1	4	5
Done	0	2	2
Total	681	22	703

Accuracy

99.4%

Counts

703 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	#s(approx (log (+ (exp a) (exp b))) (.f64 #s(approx (- (pow (log (+ 1 (exp a))) 2) ( (* b b) (pow (+ (exp a) 1) -2))) (fma.f64 b (*.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #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)))))))
	29.6%	#s(approx (log (+ (exp a) (exp b))) (.f64 #s(approx (- (pow (log (+ 1 (exp a))) 2) ( (* b b) (pow (+ (exp a) 1) -2))) (/.f64 (neg.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)))))))
▶	52.9%	#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
✓	52.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	52.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	51.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
✓	50.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	49.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	51.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
	49.9%	#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)))))
✓	51.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
✓	52.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
▶	2.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
	4.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
	4.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b)))))
▶	27.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
	11.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
	5.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 b (.f64 b #s(literal 1/8 binary64))))))
	50.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
	51.0%	#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)))))
✓	50.8%	#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)))))
▶	2.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))))

Compiler

Compiled 534 to 317 computations (40.6% saved)

simplify202.0ms (1.7%)

Memory

27.2MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
cost-diff	64	(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)
cost-diff	128	(-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))
cost-diff	1472	(.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))
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 (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))
cost-diff	0	#s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
cost-diff	1152	(.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
cost-diff	0	(*.f64 a #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
cost-diff	256	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))
cost-diff	768	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))

Rules

10 318×	`lower-fma.f32`
10 316×	`lower-fma.f64`
2 334×	`lower-*.f32`
2 322×	`lower-*.f64`
1 894×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	456
0	85	437
1	153	423
2	276	423
3	522	423
4	1011	411
5	2152	411
6	4892	411
0	8059	359

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (1.9%)

Memory

-16.6MiB live, 296.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(/.f64 (log.f64 #s(literal 2 binary64)) b)
accuracy	2.518075415414607	#s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))
accuracy	28.02022747878017	(.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))
accuracy	29.157034720922653	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.015625	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
accuracy	1.3358659701246536	#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	29.494359026002346	#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	2.5509473729971326	#s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))))
accuracy	29.157034720922653	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
accuracy	41.810193602780544	(.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))
accuracy	59.911382591879054	#s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))
accuracy	0	(*.f64 a #s(literal 1/2 binary64))
accuracy	29.76122173719248	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64))))
accuracy	30.222488027663644	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))))
accuracy	33.390902454863934	#s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))
accuracy	0.02734375	(+.f64 (exp.f64 b) #s(literal 1 binary64))
accuracy	0.0390625	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
accuracy	1.2296681962043825	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
accuracy	29.157034720922653	#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))

Samples

71.0ms	43×	2	valid
49.0ms	144×	0	valid
49.0ms	69×	1	valid

Compiler

Compiled 232 to 50 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-log: 28.0ms (22.4% of total)

ival-mult: 23.0ms (18.4% of total)

ival-add: 17.0ms (13.6% of total)

adjust: 15.0ms (12% of total)

ival-exp: 14.0ms (11.2% of total)

ival-div: 13.0ms (10.4% of total)

ival-log1p: 7.0ms (5.6% of total)

const: 4.0ms (3.2% of total)

ival-sub: 3.0ms (2.4% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series116.0ms (1%)

Memory

9.3MiB live, 130.7MiB allocated

Counts

23 → 336

Calls

Call 1

Inputs
#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) (patch #s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (.f64 a #s(literal 1/2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ ( a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (.f64 a #s(literal 1/2 binary64)))) (patch #s(approx (log (+ 1 (exp a))) #s(approx (+ ( a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a 1/2) (log 2)) (.f64 a #s(literal 1/2 binary64))) (patch #s(approx (+ ( a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 a #s(literal 1/2 binary64)) (patch (.f64 a #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))) (patch (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ ( b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b)))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ ( b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 b b))))) (patch #s(approx (+ ( b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b))))) #<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 (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)) (patch (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b) #<representation binary64>) () ())
#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())

Outputs
#s(alt (log 1/2) (taylor 0 b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (* -1/2 b)) (taylor 0 b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (* b (- (* -1/8 b) 1/2))) (taylor 0 b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (* b (- (* b (- (* 1/192 (pow b 2)) 1/8)) 1/2))) (taylor 0 b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp b)))) (taylor inf b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp b)))) (taylor inf b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp b)))) (taylor inf b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp b)))) (taylor inf b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp b)))) (taylor -inf b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp b)))) (taylor -inf b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp b)))) (taylor -inf b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ 1 (+ 1 (exp b)))) (taylor -inf b) (#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log 1/2)) (taylor 0 b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 b) (log 1/2)) (taylor 0 b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* b (+ 1/2 (* 1/8 b))) (log 1/2)) (taylor 0 b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))) (log 1/2)) (taylor 0 b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp b))))) (taylor inf b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp b))))) (taylor inf b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp b))))) (taylor inf b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp b))))) (taylor inf b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp b))))) (taylor -inf b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp b))))) (taylor -inf b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp b))))) (taylor -inf b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 (+ 1 (exp b))))) (taylor -inf b) (#s(alt (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor 0 a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) (patch #s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) (taylor 0 a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) (patch #s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) #<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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) (patch #s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) #<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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) (patch #s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))) #<representation binary64>) () ())) ())
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))) (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 b) (taylor 0 b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 b) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 b) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (log 2) (taylor 0 b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* 1/2 b)) (taylor 0 b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* b (+ 1/2 (* 1/8 b)))) (taylor 0 b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) (taylor 0 b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor inf b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor inf b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor inf b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor inf b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor -inf b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor -inf b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor -inf b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (log (+ 1 (exp b))) (taylor -inf b) (#s(alt #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) (patch #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor 0 b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor 0 b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor 0 b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor 0 b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor inf b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor inf b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor inf b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor inf b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor -inf b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor -inf b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor -inf b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (log 2) b) (taylor -inf b) (#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) b) (patch (/.f64 (log.f64 #s(literal 2 binary64)) b) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
19.0ms	b	@	-inf	(log (/ 1 (+ (exp b) 1)))
15.0ms	b	@	inf	(log (/ 1 (+ (exp b) 1)))
12.0ms	b	@	0	(/ (log 2) b)
7.0ms	b	@	inf	(/ (log 2) b)
1.0ms	b	@	inf	(/ (- -1/2 (/ (log 2) b)) b)

simplify209.0ms (1.7%)

Memory

16.6MiB live, 329.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 282×	`lower-fma.f64`
12 282×	`lower-fma.f32`
4 480×	`lower-*.f64`
4 480×	`lower-*.f32`
2 304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	3280
1	672	3197
2	1895	3139
3	6150	3115
0	8141	2774

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

rewrite232.0ms (1.9%)

Memory

17.1MiB live, 276.5MiB allocated

Rules

4 216×	`lower-/.f32`
4 208×	`lower-/.f64`
4 186×	`lower-*.f32`
4 174×	`lower-*.f64`
2 968×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	377
0	85	366
1	357	354
2	2777	354
0	8581	311

Stop Event

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

Counts

23 → 392

Calls

Call 1

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

Outputs
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 b))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) (log1p.f64 (neg.f64 (exp.f64 b))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b b)))) (log.f64 (expm1.f64 b)))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(fma.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 b)) #s(literal 0 binary64))
(neg.f64 (log1p.f64 (exp.f64 b)))
(neg.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))) (log1p.f64 (exp.f64 b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))) (neg.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 b)))
(+.f64 (log1p.f64 (exp.f64 b)) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(+.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 b))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b)))))
(-.f64 (log1p.f64 (exp.f64 b)) #s(literal 0 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (log1p.f64 (exp.f64 (*.f64 b #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log.f64 (.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log1p.f64 (neg.f64 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 b b)))) (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (expm1.f64 b)))
(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 b))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (log.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 b b)))) (log.f64 (neg.f64 (expm1.f64 b))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 b)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 b))) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(neg.f64 (log.f64 (/.f64 (expm1.f64 b) (expm1.f64 (+.f64 b b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 b))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 b)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))) (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 b))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 b)))
(*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b b))) (expm1.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 b)) #s(literal -1 binary64)))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))))
#s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64))))
#s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))
(*.f64 a #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) a)
(+.f64 (.f64 b (.f64 b #s(literal 1/8 binary64))) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(+.f64 (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(+.f64 (.f64 (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64)) b) (.f64 b (.f64 b #s(literal 1/8 binary64))))
(fma.f64 b (.f64 b #s(literal 1/8 binary64)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64))))
(fma.f64 b (.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (.f64 b b) #s(literal 1/8 binary64) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (.f64 b (.f64 b b)) (.f64 b #s(literal -1/192 binary64)) (.f64 b (*.f64 b #s(literal 1/8 binary64))))
(fma.f64 (.f64 b (.f64 b b)) (.f64 b (/.f64 #s(literal 1/8 binary64) (.f64 b b))) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -1/192 binary64) (.f64 b (*.f64 b #s(literal 1/8 binary64))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (.f64 b b)) #s(literal -1/192 binary64))))
(fma.f64 #s(literal -1/192 binary64) (.f64 b (.f64 b (.f64 b b))) (.f64 b (*.f64 b #s(literal 1/8 binary64))))
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(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 b) (expm1.f64 b) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 b)))
#s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (log.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (log.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (log.f64 #s(literal 2 binary64))))))
(/.f64 (log.f64 #s(literal 2 binary64)) b)
(/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (log.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 b))
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 b))
(pow.f64 (/.f64 b (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b))
(*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (log.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))

eval115.0ms (1%)

Memory: -35.9MiB live, 173.3MiB allocated
Compiler: Compiled 12 301 to 1 494 computations (87.9% saved)

prune110.0ms (0.9%)

Memory

19.3MiB live, 178.5MiB allocated

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	718	12	730
Fresh	3	8	11
Picked	2	3	5
Done	0	6	6
Total	723	29	752

Accuracy

99.4%

Counts

752 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.6%	#s(approx (log (+ (exp a) (exp b))) (.f64 #s(approx (- (pow (log (+ 1 (exp a))) 2) ( (* b b) (pow (+ (exp a) 1) -2))) (/.f64 (neg.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)))))))
✓	52.9%	#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
	51.5%	#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))))
	51.8%	#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
	51.7%	#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
	51.5%	#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))))))
✓	52.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
✓	52.8%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
	51.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))))
✓	50.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
	49.5%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
✓	51.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
	51.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 b b) #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64))))))))
	49.9%	#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))) (/ b (+ 1 (exp a)))) (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64)))))))))
	51.8%	#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)))))))
	11.8%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
✓	51.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
✓	52.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
	2.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64)))))))
✓	2.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
	4.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
	2.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))))
	5.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* b (* b b)) b) (+ -1/192 (/ 1/8 (* b b)))) (.f64 b (.f64 b #s(literal 1/8 binary64)))))))
	9.2%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) #s(approx (/ (- -1/2 (/ (log 2) b)) b) (/.f64 #s(literal -1/2 binary64) b)))))))
	11.6%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
	50.9%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
	51.0%	#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)))))
✓	50.8%	#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 1 081 to 425 computations (60.7% saved)

regimes72.0ms (0.6%)

Memory

10.2MiB live, 86.7MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 b (.f64 b #s(literal 1/8 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* b (* b b)) b) (+ -1/192 (/ 1/8 (* b b)))) (.f64 b (.f64 b #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) #s(approx (/ (- -1/2 (/ (log 2) b)) b) (/.f64 #s(literal -1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 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 (+ (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))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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 (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #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 (+ (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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a 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 (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(log.f64 #s(approx (+ (exp a) (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)) (+.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)))))
(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))) (/.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))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 b b) #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 b #s(literal 1/2 binary64))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64)))))))))
#s(approx (log (+ (exp a) (exp b))) (.f64 #s(approx (- (pow (log (+ 1 (exp a))) 2) ( (* b b) (pow (+ (exp a) 1) -2))) (fma.f64 b (*.f64 b #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #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 #s(approx (- (pow (log (+ 1 (exp a))) 2) ( (* b b) (pow (+ (exp a) 1) -2))) (/.f64 (neg.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))) (fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -1/2 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 (exp.f64 a) #s(literal 1 binary64)) #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 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.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))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))

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

Calls

6 calls:

14.0ms	b
13.0ms	a
11.0ms	(exp.f64 a)
11.0ms	(exp.f64 b)
10.0ms	(+.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)

regimes61.0ms (0.5%)

Memory

0.5MiB live, 78.8MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 b (.f64 b #s(literal 1/8 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* b (* b b)) b) (+ -1/192 (/ 1/8 (* b b)))) (.f64 b (.f64 b #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) #s(approx (/ (- -1/2 (/ (log 2) b)) b) (/.f64 #s(literal -1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 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 (+ (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))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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 (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #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 (+ (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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a 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 (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(log.f64 #s(approx (+ (exp a) (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)) (+.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)))))
(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)))))

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

Calls

6 calls:

13.0ms	b
11.0ms	a
10.0ms	(exp.f64 a)
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
99.2%	2	`a`
69.7%	2	`b`
98.4%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.2%	2	`(exp.f64 a)`
59.5%	2	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes21.0ms (0.2%)

Memory

-8.7MiB live, 29.4MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 b (.f64 b #s(literal 1/8 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* b (* b b)) b) (+ -1/192 (/ 1/8 (* b b)))) (.f64 b (.f64 b #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) #s(approx (/ (- -1/2 (/ (log 2) b)) b) (/.f64 #s(literal -1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 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 (+ (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))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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 (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #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 (+ (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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a 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 (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(log.f64 #s(approx (+ (exp a) (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)) (+.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)))))
(log.f64 (+.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

2 calls:

11.0ms	a
8.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes37.0ms (0.3%)

Memory

14.0MiB live, 52.1MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 b (.f64 b #s(literal 1/8 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* b (* b b)) b) (+ -1/192 (/ 1/8 (* b b)))) (.f64 b (.f64 b #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) #s(approx (/ (- -1/2 (/ (log 2) b)) b) (/.f64 #s(literal -1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 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 (+ (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))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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 (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #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 (+ (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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a 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 (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))))
(log.f64 #s(approx (+ (exp a) (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)) (+.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)))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.2%	2	`a`
98.2%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes21.0ms (0.2%)

Memory

-14.2MiB live, 24.1MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 b (.f64 b #s(literal 1/8 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* b (* b b)) b) (+ -1/192 (/ 1/8 (* b b)))) (.f64 b (.f64 b #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) #s(approx (/ (- -1/2 (/ (log 2) b)) b) (/.f64 #s(literal -1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 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 (+ (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))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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 (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #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 (+ (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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a 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 (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(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)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))

Calls

2 calls:

11.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.0%	2	`a`
98.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes18.0ms (0.1%)

Memory

22.2MiB live, 22.3MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 b (.f64 b #s(literal 1/8 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* b (* b b)) b) (+ -1/192 (/ 1/8 (* b b)))) (.f64 b (.f64 b #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) #s(approx (/ (- -1/2 (/ (log 2) b)) b) (/.f64 #s(literal -1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 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 (+ (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))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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 (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #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 (+ (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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a 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 (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (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

2 calls:

9.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.0%	2	`a`
98.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes36.0ms (0.3%)

Memory

-1.2MiB live, 43.9MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 b (.f64 b #s(literal 1/8 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* b (* b b)) b) (+ -1/192 (/ 1/8 (* b b)))) (.f64 b (.f64 b #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) #s(approx (/ (- -1/2 (/ (log 2) b)) b) (/.f64 #s(literal -1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 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 (+ (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))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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 (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #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 (+ (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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a 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 (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) b))))))
#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))) (log1p.f64 (exp.f64 a)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.0%	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)

regimes17.0ms (0.1%)

Memory

-14.6MiB live, 23.6MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 b (.f64 b #s(literal 1/8 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* b (* b b)) b) (+ -1/192 (/ 1/8 (* b b)))) (.f64 b (.f64 b #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 b (.f64 b b)) b)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) #s(approx (/ (- -1/2 (/ (log 2) b)) b) (/.f64 #s(literal -1/2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 b b) (.f64 b (.f64 b (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 b b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (fma.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 b (.f64 (.f64 b (*.f64 b b)) #s(literal -1/192 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b (+ (* b (* b -1/192)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 b (.f64 b b)) b) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 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 (+ (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))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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 (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #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 (+ (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))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp b) 1) (+.f64 b #s(literal 2 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a 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 (log (+ 1 (exp a))) (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 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) 1)) (fma.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) #s(approx (+ (* b (+ (* b 1/8) 1/2)) (log 2)) (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)) 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))) #s(approx (log (+ 1 (exp b))) (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:

8.0ms	a
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.0%	2	`a`
97.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes35.0ms (0.3%)

Memory

11.5MiB live, 49.8MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
52.0%	1	`(exp.f64 b)`
52.0%	1	`b`
58.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
58.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
58.9%	2	`(exp.f64 a)`
58.9%	2	`a`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes23.0ms (0.2%)

Memory

-5.9MiB live, 32.6MiB allocated

Counts

19 → 2

Calls

Call 1

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

#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)))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
58.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
58.8%	2	`(exp.f64 a)`
58.8%	2	`a`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes23.0ms (0.2%)

Memory

-10.3MiB live, 29.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

#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:

7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	a
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 a)

Results

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

regimes21.0ms (0.2%)

Memory

-3.5MiB live, 33.8MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes16.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
58.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
58.3%	2	`a`
58.3%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes19.0ms (0.2%)

Memory

-11.1MiB live, 26.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	a
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes25.0ms (0.2%)

Memory

1.6MiB live, 39.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	b
4.0ms	a
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes7.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.35972632589249093

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	0.0	0.35972632589249093

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	0.0	0.35972632589249093

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	0.0	0.35972632589249093

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	0.35972632589249093

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	0.35972632589249093

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch27.0ms (0.2%)

Memory

-10.4MiB live, 34.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-106982.97534341931	-1.0224117424891714

Samples

16.0ms	120×	1	valid
1.0ms	24×	0	valid

Compiler

Compiled 227 to 155 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 5.0ms (37.4% of total)

ival-log: 5.0ms (37.4% of total)

adjust: 2.0ms (14.9% of total)

ival-add: 1.0ms (7.5% of total)

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

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

bsearch21.0ms (0.2%)

Memory

-15.5MiB live, 22.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-106982.97534341931	-1.0224117424891714

Samples

15.0ms	90×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 209 to 137 computations (34.4% saved)

Precisions

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

ival-exp: 5.0ms (41.7% of total)

ival-log: 5.0ms (41.7% of total)

adjust: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.35972632589249093

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	1.0177520484409972	1.359726325892491

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	0.35972632589249093

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	0.35972632589249093	0.9983767125435155

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-106982.97534341931	-1.0224117424891714

Compiler

Compiled 155 to 101 computations (34.8% saved)

simplify11.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
6×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	694
1	115	694
2	117	694
3	118	694

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (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 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))))) (log.f64 #s(approx (+ (exp a) (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)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #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))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -41 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 b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -95 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #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))))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #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 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 (exp.f64 a) #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 a #s(literal -95 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.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)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (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 0 binary64)) #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))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (log.f64 #s(approx (+ (exp a) (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)) (+.f64 (exp.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)))) (/.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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #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 (exp.f64 a) #s(literal 1 binary64))))) (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))))))
(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 (exp.f64 a) #s(literal 1 binary64))))) #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))) (log1p.f64 (exp.f64 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)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))))
(if (<=.f64 a #s(literal -41 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 b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -41 binary64)) #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 (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -95 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -95 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #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))))))
(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 1/2) (log 2)) (*.f64 b #s(literal 1/2 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))))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #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 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.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 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #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)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #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 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #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 1/2) (log 2)) (*.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 a #s(literal -95 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
(if (<=.f64 a #s(literal -95 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 b #s(literal 1/2 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 a #s(literal 1/2 binary64)))))

soundness1.7s (14.4%)

Memory

-12.4MiB live, 1 010.6MiB allocated

Rules

18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
18 268×	`lower-fma.f64`
18 268×	`lower-fma.f32`
12 880×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	2546
1	486	2533
2	1395	2491
3	4440	2481
0	8261	2198
0	241	3280
1	672	3197
2	1895	3139
3	6150	3115
0	8141	2774
0	6	15
0	10	15
1	24	15
2	150	15
0	1409	15
0	341	4648
1	1030	4536
2	3376	4491
0	8735	3951
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 640 to 325 computations (49.2% saved)

preprocess91.0ms (0.7%)

Memory: -11.8MiB live, 180.1MiB allocated
Compiler: Compiled 730 to 220 computations (69.9% 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%)

analyze148.0ms (1.2%)

sample4.6s (37.7%)

explain162.0ms (1.3%)

preprocess18.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize58.0ms (0.5%)

series92.0ms (0.8%)

simplify333.0ms (2.8%)

rewrite76.0ms (0.6%)

eval19.0ms (0.2%)

prune20.0ms (0.2%)

simplify9.0ms (0.1%)

localize143.0ms (1.2%)

series101.0ms (0.8%)

simplify272.0ms (2.2%)

rewrite245.0ms (2%)

eval62.0ms (0.5%)

prune57.0ms (0.5%)

simplify342.0ms (2.8%)

localize332.0ms (2.7%)

series142.0ms (1.2%)

simplify301.0ms (2.5%)

rewrite612.0ms (5.1%)

eval303.0ms (2.5%)

prune133.0ms (1.1%)

simplify202.0ms (1.7%)

localize229.0ms (1.9%)

series116.0ms (1%)

simplify209.0ms (1.7%)

rewrite232.0ms (1.9%)

eval115.0ms (1%)

prune110.0ms (0.9%)

regimes72.0ms (0.6%)

regimes61.0ms (0.5%)

regimes21.0ms (0.2%)

regimes37.0ms (0.3%)

regimes21.0ms (0.2%)

regimes18.0ms (0.1%)

regimes36.0ms (0.3%)

regimes17.0ms (0.1%)

regimes35.0ms (0.3%)

regimes23.0ms (0.2%)

regimes23.0ms (0.2%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes19.0ms (0.2%)

regimes25.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify11.0ms (0.1%)

soundness1.7s (14.4%)

preprocess91.0ms (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