Metrics for symmetry log of sum of exp

start0.0ms (0%)

Memory: -34.9MiB live, 0.0MiB allocated

analyze135.0ms (1.1%)

Memory

35.9MiB live, 191.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample4.6s (36.7%)

Memory

96.1MiB live, 5 350.5MiB allocated

Samples

2.0s	6 768×	5	exit
783.0ms	1 497×	2	valid
482.0ms	2 386×	1	valid
302.0ms	4 373×	0	valid
102.0ms	961×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-exp: 1.0s (37.2% of total)

ival-log: 998.0ms (35.4% of total)

adjust: 527.0ms (18.7% of total)

ival-add: 229.0ms (8.1% of total)

ival-true: 12.0ms (0.4% of total)

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

Bogosity

explain167.0ms (1.3%)

Memory

19.7MiB live, 179.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
134	-	-	`(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	125	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	6	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	6
↳	`(exp.f64 a)`	overflow	4
↳	`(exp.f64 b)`	overflow	2
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	3	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	3
↳	`(exp.f64 a)`	underflow	57
↳	`(exp.f64 b)`	underflow	79

Confusion

	Predicted +	Predicted -
+	134	0
-	0	122

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	0	0	122

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms	100×	2	valid
27.0ms	140×	1	valid
17.0ms	272×	0	valid

Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions

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

ival-log: 66.0ms (66.1% of total)

ival-exp: 25.0ms (25% of total)

adjust: 5.0ms (5% of total)

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

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

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

preprocess17.0ms (0.1%)

Memory

-16.6MiB live, 21.3MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

6.7MiB live, 6.7MiB 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

localize61.0ms (0.5%)

Memory

-21.3MiB live, 65.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 b)
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) (exp.f64 b))
accuracy	30.840177268334873	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

24.0ms	50×	2	valid
15.0ms	136×	0	valid
13.0ms	70×	1	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-log: 26.0ms (59.6% of total)

ival-exp: 13.0ms (29.8% of total)

adjust: 2.0ms (4.6% of total)

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

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

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

series92.0ms (0.7%)

Memory

13.9MiB live, 130.4MiB 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)))
23.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
21.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
15.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

simplify485.0ms (3.9%)

Memory

-7.3MiB live, 626.6MiB 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)

rewrite84.0ms (0.7%)

Memory

39.0MiB live, 115.5MiB 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)

eval16.0ms (0.1%)

Memory: -7.8MiB live, 31.4MiB allocated
Compiler: Compiled 2 954 to 386 computations (86.9% saved)

prune26.0ms (0.2%)

Memory

5.7MiB live, 45.7MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	140	9	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	10	150

Accuracy

99.4%

Counts

150 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	51.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	51.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	51.7%	(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)))))
▶	51.6%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
	49.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
▶	47.9%	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
▶	99.4%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
	47.9%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))
▶	49.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))

Compiler

Compiled 194 to 134 computations (30.9% saved)

simplify18.0ms (0.1%)

Memory

-18.7MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

456×	`lower-fma.f32`
450×	`lower-fma.f64`
174×	`lower-*.f64`
174×	`lower-*.f32`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	191
0	51	191
1	78	191
2	121	191
3	216	191
4	293	191
5	344	191
6	344	191
0	344	191

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

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

localize149.0ms (1.2%)

Memory

-2.3MiB live, 152.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	0.015625	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	2.3960519745563187	#s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	30.840177268334873	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
accuracy	0	(exp.f64 a)
accuracy	0.0078125	(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
accuracy	2.4450798774710787	#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
accuracy	30.840177268334873	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
accuracy	0	(exp.f64 b)
accuracy	0.0078125	(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
accuracy	30.840177268334873	(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
accuracy	33.17987003796837	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0	(exp.f64 a)
accuracy	0.00390625	(log1p.f64 (exp.f64 a))
accuracy	32.160481654752054	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))
accuracy	0.00390625	(log1p.f64 (exp.f64 a))
accuracy	0.0078125	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 a))
accuracy	0.40624950824148653	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Samples

38.0ms	50×	2	valid
29.0ms	70×	1	valid
24.0ms	136×	0	valid

Compiler

Compiled 139 to 22 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-log: 20.0ms (29.1% of total)

ival-exp: 13.0ms (18.9% of total)

adjust: 9.0ms (13.1% of total)

ival-add: 9.0ms (13.1% of total)

const: 6.0ms (8.7% of total)

ival-mult: 6.0ms (8.7% of total)

ival-div: 3.0ms (4.4% of total)

ival-log1p: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series75.0ms (0.6%)

Memory

32.7MiB live, 69.1MiB allocated

Counts

18 → 336

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

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>) () ())) ())
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#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>) () ())) ())
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#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor inf b) (#s(alt #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp b) (taylor -inf b) (#s(alt #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 2 a) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 a)) (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 b) (taylor 0 a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/4 (* a b)) (* 1/2 b)) (taylor 0 a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) (taylor 0 a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) (taylor 0 a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 b)) (taylor 0 b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 b) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1/6 (* 1/2 (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
32.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
24.0ms	a	@	-inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
4.0ms	b	@	0	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
0.0ms	a	@	0	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
0.0ms	b	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))

simplify445.0ms (3.6%)

Memory

1.7MiB live, 587.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 754×	`lower-fma.f64`
19 754×	`lower-fma.f32`
4 818×	`lower-*.f64`
4 818×	`lower-*.f32`
2 756×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	2949
1	510	2926
2	1499	2879
3	4995	2869
0	8609	2575

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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)))
(+ 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)
(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)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))

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

rewrite331.0ms (2.7%)

Memory

5.1MiB live, 473.5MiB allocated

Rules

4 276×	`lower-/.f32`
4 274×	`lower-/.f64`
4 112×	`lower-fma.f32`
4 106×	`lower-fma.f64`
3 284×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	148
0	51	148
1	193	148
2	1502	148
0	8428	148

Stop Event

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

Counts

18 → 315

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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))
#s(approx (exp a) #s(literal 1 binary64))
(exp.f64 b)
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(fma.f64 b #s(literal 1/6 binary64) #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)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (neg.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(-.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 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(-.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (neg.f64 (/.f64 (.f64 (.f64 b b) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) (log1p.f64 (exp.f64 a)))
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(neg.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))))
(/.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(*.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) b)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 b (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #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)))))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))
(+.f64 (*.f64 b #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64)))) (fma.f64 (.f64 b (*.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (*.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (.f64 b #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))

eval84.0ms (0.7%)

Memory: 21.3MiB live, 179.1MiB allocated
Compiler: Compiled 14 520 to 1 283 computations (91.2% saved)

prune82.0ms (0.7%)

Memory

-41.1MiB live, 134.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	731	9	740
Fresh	3	1	4
Picked	5	0	5
Done	1	0	1
Total	740	10	750

Accuracy

99.4%

Counts

750 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
	55.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))))
▶	68.2%	#s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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))))))
	46.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
▶	47.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
	48.3%	#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)))))
	54.1%	#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)))))
▶	48.1%	#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)))))
▶	48.2%	#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)))))
▶	47.7%	#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 276 to 166 computations (39.9% saved)

simplify278.0ms (2.2%)

Memory

8.4MiB live, 164.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(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)))
cost-diff	0	#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))))
cost-diff	0	#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)))))
cost-diff	0	(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#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))))
cost-diff	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)))))
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 a) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
cost-diff	0	(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -3 binary64)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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))))))
cost-diff	320	(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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)))))

Rules

3 244×	`lower-fma.f32`
3 230×	`lower-fma.f64`
1 408×	`lower-*.f32`
1 404×	`lower-*.f64`
824×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	385
0	81	385
1	128	381
2	207	381
3	327	381
4	455	381
5	588	381
6	874	381
7	1545	381
8	2856	381
9	3655	381
10	4235	381
11	4702	381
12	4740	381
13	4747	381
14	5099	381
15	5286	381
16	5352	381
17	5354	381
18	5354	381
19	5354	381
0	5354	381

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

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

localize141.0ms (1.1%)

Memory

1.8MiB live, 197.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
accuracy	0.01171875	(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)))
accuracy	3.436662846931623	#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))))
accuracy	3.9986126408267175	#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)))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
accuracy	3.4488792401443082	#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))))
accuracy	3.9986126408267175	#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)))))
accuracy	0	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	3.8867177442682532	#s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
accuracy	3.9986126408267175	#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	0.00390625	(log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))
accuracy	3.9986126408267175	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
accuracy	4.360212767891394	#s(approx (exp a) #s(literal 1 binary64))
accuracy	0.2862799227150086	(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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)))))
accuracy	0.40624950824148653	#s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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))))))
accuracy	0.46875	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
accuracy	0.47265625	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))

Samples

49.0ms	119×	1	exit
42.0ms	136×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 312 to 42 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 14.0ms (20.3% of total)

ival-add: 12.0ms (17.4% of total)

adjust: 10.0ms (14.5% of total)

ival-log: 7.0ms (10.1% of total)

ival-pow: 7.0ms (10.1% of total)

ival-div: 5.0ms (7.2% of total)

ival-exp: 4.0ms (5.8% of total)

const: 4.0ms (5.8% of total)

ival-log1p: 2.0ms (2.9% of total)

ival-pow2: 2.0ms (2.9% of total)

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

exact: 1.0ms (1.4% of total)

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

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

series58.0ms (0.5%)

Memory

4.5MiB live, 41.7MiB allocated

Counts

20 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
16.0ms	b	@	0	(log (+ (exp a) (exp b)))
5.0ms	a	@	0	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2))))
4.0ms	a	@	inf	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2))))
3.0ms	a	@	-inf	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (/ 1 (+ (* (/ b (+ (exp a) 1)) (- (/ b (+ (exp a) 1)) (log (+ 1 (exp a))))) (pow (log (+ 1 (exp a))) 2))))
3.0ms	b	@	0	(+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3))

simplify470.0ms (3.8%)

Memory

25.4MiB live, 263.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 158×	`lower-fma.f64`
9 158×	`lower-fma.f32`
4 272×	`lower-*.f64`
4 272×	`lower-*.f32`
3 622×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	5780
1	1285	5565
2	4704	5404
0	8239	4815

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

rewrite838.0ms (6.7%)

Memory

1.1MiB live, 348.5MiB allocated

Rules

6 528×	`lower-fma.f32`
6 514×	`lower-fma.f64`
4 480×	`lower-*.f32`
4 476×	`lower-*.f64`
4 236×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	268
0	81	264
1	310	264
2	2400	264
0	9590	264

Stop Event

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

Counts

20 → 324

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(+.f64 (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)) (.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.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))) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64))) (.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64))) (*.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64))) (neg.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #s(literal -9 binary64)))) (.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) #s(literal 3 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)))) (.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))))
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(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 6 binary64)))) (.f64 (neg.f64 (fma.f64 b (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 3 binary64)))))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) (fma.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (fma.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal -1/7077888 binary64))) (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) (fma.f64 (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a))) (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a))) (-.f64 (.f64 (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/192 binary64) (.f64 a (*.f64 a a))) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a)))) #s(literal 3 binary64)) (.f64 #s(literal 1/512 binary64) (.f64 a (.f64 a a)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a)))) (-.f64 (.f64 (.f64 a a) #s(literal 1/64 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a)))) (*.f64 a #s(literal 1/8 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 a #s(literal 1/2 binary64)))) (fma.f64 (.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (*.f64 a #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a (.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 (exp.f64 a)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 (exp.f64 a)))) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (log1p.f64 (exp.f64 a))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(*.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (log1p.f64 (exp.f64 a))))

eval136.0ms (1.1%)

Memory: -17.6MiB live, 96.7MiB allocated
Compiler: Compiled 22 155 to 1 276 computations (94.2% saved)

prune109.0ms (0.9%)

Memory

22.0MiB live, 100.3MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	631	7	638
Fresh	2	3	5
Picked	1	4	5
Done	0	0	0
Total	634	14	648

Accuracy

99.4%

Counts

648 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))))
	42.4%	#s(approx (log (+ (exp a) (exp b))) (*.f64 (fma.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #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))))))
	46.8%	#s(approx (log (+ (exp a) (exp b))) (.f64 #s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (fma.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b)) (pow.f64 (log.f64 #s(literal 2 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))))))
	46.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
✓	47.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
▶	48.3%	#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)))))
	54.1%	#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)))))
✓	48.1%	#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)))))
✓	48.2%	#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)))))
✓	47.7%	#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)))))
▶	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
▶	15.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a)))))))))
	3.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
▶	2.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))

Compiler

Compiled 448 to 243 computations (45.8% saved)

simplify331.0ms (2.7%)

Memory

-9.3MiB live, 428.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a)))))))
cost-diff	0	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a))))))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a)))))))))
cost-diff	3456	(.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a))))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))
cost-diff	0	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
cost-diff	1152	(.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) a)
cost-diff	0	#s(approx (+ (* a 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
cost-diff	0	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))))
cost-diff	0	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))))
cost-diff	192	(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))
cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))

Rules

14 090×	`lower-fma.f32`
14 088×	`lower-fma.f64`
3 696×	`lower-*.f32`
3 682×	`lower-*.f64`
1 250×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	600
0	90	548
1	158	529
2	332	529
3	767	529
4	2048	517
5	6303	505
0	8615	468

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (1.5%)

Memory

10.4MiB live, 327.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2409680044065311	(/.f64 #s(literal 1/8 binary64) (*.f64 a a))
accuracy	15.297260930873103	(.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a))))))
accuracy	16.214808907335815	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a))))))))
accuracy	16.28041004245327	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a a)))))))))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
accuracy	0.40624950824148653	#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	15.891613156114117	#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	15.186618352497387	(.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
accuracy	16.214808907335815	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))))
accuracy	16.28041004245327	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
accuracy	19.888250554195725	#s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	16.28041004245327	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) a))))
accuracy	16.351471862334414	#s(approx (log (+ 1 (exp a))) #s(approx (+ (* a 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) a)))
accuracy	20.14933682453999	#s(approx (+ (* a 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) a))
accuracy	0.00390625	(log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))
accuracy	0.0078125	(/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)
accuracy	0.40624950824148653	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))))
accuracy	3.3031054976557472	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))

Samples

37.0ms	107×	0	invalid
31.0ms	89×	0	valid
28.0ms	25×	2	valid
26.0ms	35×	1	valid

Compiler

Compiled 336 to 49 computations (85.4% saved)

Precisions

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

ival-mult: 19.0ms (20.6% of total)

ival-log: 19.0ms (20.6% of total)

ival-add: 15.0ms (16.3% of total)

ival-div: 10.0ms (10.9% of total)

ival-exp: 10.0ms (10.9% of total)

adjust: 8.0ms (8.7% of total)

const: 5.0ms (5.4% of total)

ival-sub: 3.0ms (3.3% of total)

ival-log1p: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series148.0ms (1.2%)

Memory

15.9MiB live, 165.9MiB allocated

Counts

23 → 396

Calls

Call 1

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

Outputs
#s(alt (* 1/2 b) (taylor 0 a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/4 (* a b)) (* 1/2 b)) (taylor 0 a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) (taylor 0 a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) (taylor 0 a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor inf b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b (+ 1 (exp a))) (taylor -inf b) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 2 b))) (taylor 0 a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 2 b))) (* -1/2 a)) (taylor 0 a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 2 b))) (* a (- (* -1/8 a) 1/2))) (taylor 0 a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 2 b))) (* a (- (* a (- (* 1/192 (pow a 2)) 1/8)) 1/2))) (taylor 0 a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (+ 1 (exp a)) b))) (taylor inf a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (+ 1 (exp a)) b))) (taylor inf a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (+ 1 (exp a)) b))) (taylor inf a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (+ 1 (exp a)) b))) (taylor inf a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (+ 1 (exp a)) b))) (taylor -inf a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (+ 1 (exp a)) b))) (taylor -inf a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (+ 1 (exp a)) b))) (taylor -inf a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (+ 1 (exp a)) b))) (taylor -inf a) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (+ 1 (exp a))) (* -1 (log b)))) (taylor 0 b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (+ 1 (exp a))) (* -1 (log b)))) (taylor 0 b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (+ 1 (exp a))) (* -1 (log b)))) (taylor 0 b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (+ 1 (exp a))) (* -1 (log b)))) (taylor 0 b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b)))) (taylor inf b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b)))) (taylor inf b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b)))) (taylor inf b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b)))) (taylor inf b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))) (taylor -inf b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))) (taylor -inf b) (#s(alt (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 2 (/ 1 b)) (/ a b)) (taylor 0 a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* 1/2 (/ a b)) (/ 1 b))) (* 2 (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* a (+ (* 1/6 (/ a b)) (* 1/2 (/ 1 b)))) (/ 1 b))) (* 2 (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor inf a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor inf a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor inf a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor inf a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor -inf a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor -inf a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor -inf a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor -inf a) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor 0 b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor 0 b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor 0 b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor 0 b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor inf b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor inf b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor inf b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor inf b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor -inf b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor -inf b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor -inf b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (exp a)) b) (taylor -inf b) (#s(alt (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) (patch (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (log (/ 2 b)) (taylor 0 a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 b)) (* 1/2 a)) (taylor 0 a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 b)) (* a (+ 1/2 (* 1/8 a)))) (taylor 0 a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 b)) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) (taylor 0 a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ 1 (exp a)) b)) (taylor inf a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ 1 (exp a)) b)) (taylor inf a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ 1 (exp a)) b)) (taylor inf a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ 1 (exp a)) b)) (taylor inf a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ 1 (exp a)) b)) (taylor -inf a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ 1 (exp a)) b)) (taylor -inf a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ 1 (exp a)) b)) (taylor -inf a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (log (/ (+ 1 (exp a)) b)) (taylor -inf a) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* -1 (log b))) (taylor 0 b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* -1 (log b))) (taylor 0 b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* -1 (log b))) (taylor 0 b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (* -1 (log b))) (taylor 0 b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (+ 1 (exp a))) (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))) (taylor -inf b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))) (taylor -inf b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))) (taylor -inf b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b))) (taylor -inf b) (#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) (patch (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/8 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (patch (/.f64 #s(literal 1/8 binary64) (.f64 a a)) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
60.0ms	a	@	-inf	(* (log (/ (+ (exp a) 1) b)) -1)
20.0ms	a	@	inf	(* (log (/ (+ (exp a) 1) b)) -1)
16.0ms	b	@	-inf	(* (log (/ (+ (exp a) 1) b)) -1)
16.0ms	b	@	0	(* (log (/ (+ (exp a) 1) b)) -1)
6.0ms	b	@	inf	(* (log (/ (+ (exp a) 1) b)) -1)

simplify593.0ms (4.8%)

Memory

-48.3MiB live, 458.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 424×	`lower-fma.f64`
14 424×	`lower-fma.f32`
4 676×	`lower-*.f64`
4 676×	`lower-*.f32`
2 620×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	4075
1	632	4020
2	1788	3953
3	5197	3881
0	8386	3500

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

rewrite254.0ms (2%)

Memory

39.3MiB live, 308.2MiB allocated

Rules

4 644×	`lower-/.f32`
4 636×	`lower-/.f64`
3 178×	`lower-*.f32`
3 164×	`lower-*.f64`
2 322×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	470
0	90	438
1	363	407
2	3140	406
0	8546	381

Stop Event

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

Counts

23 → 343

Calls

Call 1

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

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

eval104.0ms (0.8%)

Memory: 4.4MiB live, 154.9MiB allocated
Compiler: Compiled 14 833 to 1 481 computations (90% saved)

prune127.0ms (1%)

Memory

-21.2MiB live, 193.0MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	764	14	778
Fresh	3	2	5
Picked	3	2	5
Done	0	4	4
Total	770	22	792

Accuracy

99.4%

Counts

792 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.3%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)))) #s(literal -1 binary64)))))
	9.8%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (.f64 b (expm1.f64 a)))) #s(literal -1 binary64)))))
	36.6%	#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 #s(approx (* (log (/ (+ (exp a) 1) b)) -1) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)))))))
	46.3%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))
✓	47.7%	#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
✓	48.3%	#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)))))
	48.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))))
	54.1%	#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)))))
	47.7%	#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 b b)))))))
	11.9%	#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))))
✓	48.1%	#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)))))
✓	48.2%	#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)))))
✓	47.7%	#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)))))
	2.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
	15.0%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a)))))))
	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
✓	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
	2.4%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
	2.5%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
	3.3%	#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))

Compiler

Compiled 1 020 to 388 computations (62% saved)

regimes64.0ms (0.5%)

Memory

4.8MiB live, 83.9MiB allocated

Counts

40 → 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #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))) #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 a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a 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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(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)))))
(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 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 #s(approx (* (log (/ (+ (exp a) 1) b)) -1) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 b b)))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (-.f64 (log.f64 (expm1.f64 (+.f64 a a))) (log.f64 (.f64 b (expm1.f64 a)))) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (.f64 #s(approx (+ (pow (log (+ 1 (exp a))) 3) (pow (/ (+ (exp a) 1) b) -3)) (fma.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b)) (pow.f64 (log.f64 #s(literal 2 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))))))
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b))) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)))) #s(literal -1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b) #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))))))
#s(approx (log (+ (exp a) (exp b))) (*.f64 (fma.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #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:

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

Results

Accuracy	Segments	Branch
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.4%	1	`(exp.f64 a)`
99.4%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes52.0ms (0.4%)

Memory

-19.0MiB live, 58.1MiB allocated

Counts

30 → 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #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))) #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 a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a 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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(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)))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))

Outputs

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

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

Calls

6 calls:

9.0ms	b
9.0ms	a
8.0ms	(exp.f64 a)
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
99.3%	2	`a`
66.9%	3	`b`
99.3%	3	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.3%	3	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.3%	2	`(exp.f64 a)`
54.1%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes16.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

27 → 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #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))) #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 a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a 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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(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)))))

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:

8.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.3%	2	`a`
99.3%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

26 → 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #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))) #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 a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a 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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64))))
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))

Outputs

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

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

Calls

2 calls:

8.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.3%	2	`a`
99.3%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.1%)

Memory

-13.6MiB live, 24.9MiB allocated

Counts

25 → 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #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))) #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 a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (*.f64 a 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)))
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #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)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

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

Calls

2 calls:

7.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.0%	2	`a`
99.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #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))) #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 a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))

Outputs

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

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

2 calls:

6.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.0%	2	`(exp.f64 a)`
99.0%	2	`a`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes29.0ms (0.2%)

Memory

-35.3MiB live, 42.6MiB allocated

Counts

17 → 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #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))) #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

5 calls:

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

Results

Accuracy	Segments	Branch
48.3%	1	`b`
56.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.8%	2	`a`
56.8%	2	`(exp.f64 a)`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes18.0ms (0.1%)

Memory

38.3MiB live, 38.3MiB 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #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)))))

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 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))

Calls

4 calls:

5.0ms	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
55.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
55.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.1%	2	`a`
56.1%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

-21.0MiB live, 18.3MiB allocated

Counts

14 → 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))))

Outputs

#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (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

2 calls:

4.0ms	a
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
56.1%	2	`a`
56.1%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.2%)

Memory

-5.9MiB live, 32.3MiB 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))

Outputs

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

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

Calls

5 calls:

5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	a
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
47.7%	1	`(exp.f64 b)`
55.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
55.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.4%	2	`a`
55.4%	2	`(exp.f64 a)`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes23.0ms (0.2%)

Memory

-2.1MiB live, 39.4MiB 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 #s(literal 1/2 binary64) a))))
#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 (+ (* a 1/8) 1/2)) (log 2)) (.f64 #s(literal 1/8 binary64) (.f64 a a)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) #s(approx (* (* (* a (* a a)) a) (+ -1/192 (/ 1/8 (* a a)))) (.f64 a (.f64 a #s(literal 1/8 binary64)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 a (.f64 (.f64 a a) (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 a (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 a (*.f64 a a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (*.f64 a a))) a))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) a) a))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (.f64 (.f64 (.f64 a (.f64 a a)) a) (+.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/8 binary64) a)))))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* a (+ (* a (+ (* -1/192 (* a a)) 1/8)) 1/2)) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/36864 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a 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))))

Calls

6 calls:

6.0ms	b
4.0ms	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
11.9%	1	`(exp.f64 b)`
11.9%	1	`b`
11.9%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
11.9%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
11.9%	1	`a`
11.9%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB 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 #s(literal 1/2 binary64) a))))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
2.5%	1	`a`
2.5%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
2.5%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
2.5%	1	`b`
2.5%	1	`(exp.f64 a)`
2.5%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9992126664798068

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	0.9992126664798068

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	0.9992126664798068

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch19.0ms (0.1%)

Memory

-10.5MiB live, 27.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-3893.7444306071957	-0.0007876436300131317

Samples

7.0ms	128×	0	valid
3.0ms	16×	1	valid

Compiler

Compiled 272 to 182 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 3.0ms (44.8% of total)

ival-log: 2.0ms (29.9% of total)

ival-add: 1.0ms (14.9% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch29.0ms (0.2%)

Memory

2.8MiB live, 40.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-3893.7444306071957	-0.0007876436300131317

Samples

17.0ms	77×	1	valid
2.0ms	19×	0	valid

Compiler

Compiled 227 to 155 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-exp: 5.0ms (34% of total)

ival-log: 5.0ms (34% of total)

ival-add: 3.0ms (20.4% of total)

adjust: 2.0ms (13.6% of total)

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

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9992126664798068

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	0.9992126664798068

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9992126664798068

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9992126664798068

Compiler

Compiled 11 to 11 computations (0% saved)

simplify19.0ms (0.2%)

Memory

-10.5MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	516
1	99	516

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))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 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))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))))
(if (<=.f64 a #s(literal -57/2 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 #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 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 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 a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (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 #s(literal 1/2 binary64) a))))

Outputs
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
#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))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 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 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 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))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))))
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 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 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))))))
(if (<=.f64 a #s(literal -57/2 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -57/2 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 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 #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 (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 #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 #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 a) (+.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (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 (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 a) #s(literal 1 binary64)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (log 2)) (*.f64 b #s(literal 1/2 binary64))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))))
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) #s(approx (+ (* b 1/2) (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 #s(literal 1/2 binary64) a))))
#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)))))

soundness1.4s (11.3%)

Memory

41.3MiB live, 869.4MiB allocated

Rules

19 754×	`lower-fma.f64`
19 754×	`lower-fma.f32`
18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
14 424×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	5780
1	1285	5565
2	4704	5404
0	8239	4815
0	179	2949
1	510	2926
2	1499	2879
3	4995	2869
0	8609	2575
0	229	4075
1	632	4020
2	1788	3953
3	5197	3881
0	8386	3500
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500

Stop Event

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

Compiler

Compiled 473 to 244 computations (48.4% saved)

preprocess79.0ms (0.6%)

Memory: -6.0MiB live, 148.1MiB allocated
Compiler: Compiled 558 to 182 computations (67.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	30	191
0	51	191
1	78	191
2	121	191
3	216	191
4	293	191
5	344	191
6	344	191
0	344	191

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	30	191
0	51	191
1	78	191
2	121	191
3	216	191
4	293	191
5	344	191
6	344	191
0	344	191

start0.0ms (0%)

analyze135.0ms (1.1%)

sample4.6s (36.7%)

explain167.0ms (1.3%)

preprocess17.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize61.0ms (0.5%)

series92.0ms (0.7%)

simplify485.0ms (3.9%)

rewrite84.0ms (0.7%)

eval16.0ms (0.1%)

prune26.0ms (0.2%)

simplify18.0ms (0.1%)

localize149.0ms (1.2%)

series75.0ms (0.6%)

simplify445.0ms (3.6%)

rewrite331.0ms (2.7%)

eval84.0ms (0.7%)

prune82.0ms (0.7%)

simplify278.0ms (2.2%)

localize141.0ms (1.1%)

series58.0ms (0.5%)

simplify470.0ms (3.8%)

rewrite838.0ms (6.7%)

eval136.0ms (1.1%)

prune109.0ms (0.9%)

simplify331.0ms (2.7%)

localize190.0ms (1.5%)

series148.0ms (1.2%)

simplify593.0ms (4.8%)

rewrite254.0ms (2%)

eval104.0ms (0.8%)

prune127.0ms (1%)

regimes64.0ms (0.5%)

regimes52.0ms (0.4%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes29.0ms (0.2%)

regimes18.0ms (0.1%)

regimes10.0ms (0.1%)

regimes20.0ms (0.2%)

regimes23.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.1%)

bsearch29.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.2%)

soundness1.4s (11.3%)

preprocess79.0ms (0.6%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	30	191
0	51	191
1	78	191
2	121	191
3	216	191
4	293	191
5	344	191
6	344	191
0	344	191