Metrics for symmetry log of sum of exp

analyze154.0ms (1.3%)

Memory

1.0MiB live, 190.6MiB 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)

sample4.4s (36.8%)

Memory

109.3MiB live, 5 200.3MiB allocated

Samples

1.8s	6 828×	5	exit
812.0ms	1 515×	2	valid
474.0ms	2 340×	1	valid
290.0ms	4 401×	0	valid
151.0ms	1 002×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-log: 969.0ms (37.7% of total)

ival-exp: 835.0ms (32.5% of total)

adjust: 512.0ms (19.9% of total)

ival-add: 234.0ms (9.1% of total)

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

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

Bogosity

preprocess18.0ms (0.2%)

Memory

-11.8MiB live, 26.8MiB 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)

explain147.0ms (1.2%)

Memory

20.7MiB live, 180.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
134	-	1	(-3.0138181282106764e+177 -732.9119338172319)	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	0	-	`(+.f64 (exp.f64 a) (exp.f64 b))`
0	-	0	-	`a`
0	-	0	-	`(exp.f64 b)`
0	-	0	-	`b`
0	-	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	130	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	3	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	3
↳	`(exp.f64 b)`	overflow	3

Confusion

	Predicted +	Predicted -
+	133	1
-	0	122

Precision

1.0

Recall

0.9925373134328358

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	1
-	0	0	122

Precision?

1.0

Recall?

0.9925373134328358

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	102×	2	valid
30.0ms	146×	1	valid
16.0ms	264×	0	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-log: 40.0ms (52.6% of total)

ival-exp: 25.0ms (32.9% of total)

ival-add: 6.0ms (7.9% of total)

adjust: 4.0ms (5.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 b)
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	(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

localize67.0ms (0.6%)

Memory

-17.4MiB live, 62.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

25.0ms	51×	2	valid
25.0ms	73×	1	valid
8.0ms	132×	0	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-log: 20.0ms (42% of total)

ival-add: 13.0ms (27.3% of total)

ival-exp: 12.0ms (25.2% of total)

adjust: 2.0ms (4.2% of total)

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

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

series93.0ms (0.8%)

Memory

1.0MiB live, 124.4MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))>
#<alt (+.f64 (exp.f64 a) (exp.f64 b))>
#<alt (exp.f64 a)>
#<alt (exp.f64 b)>

Outputs
#<alt (log (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<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))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<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))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	a	@	inf	(log (+ (exp a) (exp b)))
23.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
23.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
14.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite89.0ms (0.7%)

Memory

24.7MiB live, 100.5MiB allocated

Algorithm

1×	batch-egg-rewrite

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)

simplify478.0ms (4%)

Memory

-17.5MiB live, 658.8MiB 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)

eval19.0ms (0.2%)

Memory: -10.0MiB live, 29.5MiB allocated
Compiler: Compiled 2 882 to 386 computations (86.6% saved)

prune20.0ms (0.2%)

Memory

3.2MiB live, 42.6MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	12	150

Accuracy

99.0%

Counts

150 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))
	97.9%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	52.1%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	48.7%	(log1p.f64 (exp.f64 b))
▶	49.5%	(log1p.f64 (exp.f64 a))
	47.0%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
	51.3%	(log.f64 (+.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))))
▶	50.9%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	49.1%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	51.2%	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))))
▶	48.7%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 252 to 180 computations (28.6% saved)

simplify51.0ms (0.4%)

Memory

28.7MiB live, 67.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
✓	cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	cost-diff	192	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))
✓	cost-diff	6976	(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))

Rules

1 458×	`lower-fma.f32`
1 450×	`lower-fma.f64`
558×	`lower-*.f32`
556×	`lower-*.f64`
348×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	170
0	48	170
1	85	168
2	169	168
3	380	167
4	829	167
5	1203	162
6	1382	162
7	1413	162
8	1413	162
0	1413	154

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize176.0ms (1.5%)

Memory

-24.2MiB live, 210.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
✓	accuracy	100.0%	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
✓	accuracy	53.6%	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	accuracy	53.7%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	98.8%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))

Samples

45.0ms	52×	2	valid
45.0ms	130×	0	valid
39.0ms	73×	1	valid
0.0ms	1×	0	invalid

Compiler

Compiled 172 to 31 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-add: 17.0ms (19.5% of total)

ival-log: 17.0ms (19.5% of total)

ival-log1p: 15.0ms (17.2% of total)

adjust: 11.0ms (12.6% of total)

ival-mult: 11.0ms (12.6% of total)

ival-div: 6.0ms (6.9% of total)

ival-exp: 6.0ms (6.9% of total)

ival-pow2: 4.0ms (4.6% of total)

exact: 1.0ms (1.1% of total)

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

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

series233.0ms (1.9%)

Memory

27.9MiB live, 256.9MiB allocated

Counts

16 → 276

Calls

Call 1

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

Outputs
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))>
#<alt (+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 a))>
#<alt (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))>
#<alt (+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (log (+ 2 b))>
#<alt (+ (log (+ 2 b)) (/ a (+ 2 b)))>
#<alt (+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))>
#<alt (+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))>
#<alt (+ 2 b)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp a)))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b))))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp a))) 4) b)) 2) b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp a))) 16) b)) (* 1/2 (- (* 4 (+ 1 (exp a))) 4))) b)) 2) b))))>
#<alt (log (+ 2 (* b (+ 1 (* 1/2 b)))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (exp a)>
#<alt (+ b (exp a))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))>
#<alt (* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (+ a (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt (+ (exp a) (* b (+ 1 (* 1/2 b))))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 (* 3 a))))>
#<alt (+ 4 (* a (+ 4 (* a (+ 3 (* 5/3 a))))))>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>

Calls

69 calls:

Time	Variable		Point	Expression
70.0ms	a	@	inf	(log (+ (exp a) (+ 1 b)))
21.0ms	a	@	-inf	(log (+ 1 (+ (* b (+ (* b 1/2) 1)) (exp a))))
18.0ms	b	@	inf	(+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))
18.0ms	a	@	inf	(log (+ 1 (+ (* b (+ (* b 1/2) 1)) (exp a))))
18.0ms	a	@	-inf	(+ (* b (+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))) (log (+ 1 (exp a))))

rewrite369.0ms (3.1%)

Memory

-4.4MiB live, 585.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 098×	`lower-*.f32`
5 096×	`lower-*.f64`
4 052×	`lower-/.f32`
4 048×	`lower-/.f64`
3 236×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	124
0	48	122
1	202	122
2	1874	121
0	8473	113

Stop Event

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

Counts

16 → 832

Calls

Call 1

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

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

simplify307.0ms (2.5%)

Memory

13.0MiB live, 443.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 050×	`lower-fma.f64`
9 050×	`lower-fma.f32`
4 304×	`lower-*.f64`
4 304×	`lower-*.f32`
3 418×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	3524
1	1399	3416
2	4340	3295
0	8214	2892

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 272

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp a)))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
1/2
(+ 1/2 (* -1/4 a))
(+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))
(+ 1/2 (* a (- (* (pow a 2) (+ 1/48 (* -1/480 (pow a 2)))) 1/4)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 1 (+ 1 (exp a)))
(/ 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 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
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 (+ 2 b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))
(+ 2 b)
(+ 2 (+ a b))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
1
(+ 1 b)
(+ 1 b)
(+ 1 b)
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 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))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp a)))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b))))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp a))) 4) b)) 2) b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp a))) 16) b)) (* 1/2 (- (* 4 (+ 1 (exp a))) 4))) b)) 2) b))))
(log (+ 2 (* b (+ 1 (* 1/2 b)))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (+ (/ 1 (pow b 2)) (/ (exp a) (pow b 2))))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(exp a)
(+ b (exp a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (+ a (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 (* 3 a))))
(+ 4 (* a (+ 4 (* a (+ 3 (* 5/3 a))))))
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)

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

eval196.0ms (1.6%)

Memory: 8.2MiB live, 234.8MiB allocated
Compiler: Compiled 42 436 to 3 742 computations (91.2% saved)

prune211.0ms (1.7%)

Memory

11.8MiB live, 212.6MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 237	19	1 256
Fresh	3	3	6
Picked	3	2	5
Done	0	1	1
Total	1 243	25	1 268

Accuracy

99.0%

Counts

1 268 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	47.9%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	47.8%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	47.6%	(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
	47.0%	(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)))
	47.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	47.0%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	49.5%	(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
▶	98.1%	(+.f64 (.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
	97.9%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	97.4%	(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
▶	96.3%	(log1p.f64 (+.f64 (exp.f64 a) b))
	45.7%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	48.7%	(log1p.f64 (exp.f64 b))
✓	49.5%	(log1p.f64 (exp.f64 a))
	47.4%	(log1p.f64 #s(literal 1 binary64))
	47.0%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
✓	50.9%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	47.6%	(log.f64 (+.f64 b #s(literal 2 binary64)))
	51.2%	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (/.f64 (exp.f64 a) b)))))
▶	6.3%	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))
	4.6%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal 1/2 binary64)))))
	2.4%	(log.f64 (.f64 b (.f64 b #s(literal 1/2 binary64))))
▶	1.5%	(log.f64 b)

Compiler

Compiled 484 to 357 computations (26.2% saved)

simplify54.0ms (0.4%)

Memory

-15.9MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) b)
✓	cost-diff	0	(log1p.f64 (+.f64 (exp.f64 a) b))
✓	cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
✓	cost-diff	64	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(log.f64 b)
✓	cost-diff	0	(*.f64 b #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	cost-diff	0	(.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
✓	cost-diff	128	(+.f64 (.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))

Rules

744×	`lower-fma.f32`
736×	`lower-fma.f64`
290×	`lower-*.f32`
284×	`lower-*.f64`
180×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	157
0	48	157
1	77	157
2	119	157
3	154	157
4	157	157
5	219	157
6	314	157
7	436	157
8	501	157
9	514	157
10	514	157
0	514	153

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize152.0ms (1.3%)

Memory

9.2MiB live, 85.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (exp.f64 a) b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (+.f64 (exp.f64 a) b))
✓	accuracy	100.0%	(fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	40.8%	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(log.f64 b)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
✓	accuracy	100.0%	(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Samples

38.0ms	87×	0	invalid
32.0ms	168×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 159 to 30 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 30.0ms (54.4% of total)

ival-mult: 7.0ms (12.7% of total)

ival-log1p: 6.0ms (10.9% of total)

ival-log: 5.0ms (9.1% of total)

ival-div: 2.0ms (3.6% of total)

ival-exp: 2.0ms (3.6% of total)

ival-pow: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

series111.0ms (0.9%)

Memory

5.1MiB live, 41.5MiB allocated

Counts

16 → 240

Calls

Call 1

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

Outputs
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))>
#<alt (+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))>
#<alt (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))>
#<alt (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))>
#<alt (* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))>
#<alt (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))>
#<alt (+ (* a (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (* a (+ (* a (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (+ (* a (+ (* a (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))>
#<alt (/ 1 (+ 1 (exp a)))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))>
#<alt (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))>
#<alt (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))>
#<alt (+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (log b)>
#<alt (log b)>
#<alt (log b)>
#<alt (log b)>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (* 1/2 b)>
#<alt (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))>
#<alt (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))>
#<alt (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/8 b) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* b (+ 1/8 (* -1/20 b))) 1/6))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b)))) (/ 4/3 (pow b 3)))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 2 (/ 1 (pow b 4)))))) (/ 4/3 (pow b 3)))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* 4/3 (/ 1 (pow b 2))) 2) b))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* 4/3 (/ 1 (pow b 2))) (+ 2 (/ 2 (pow b 3)))) b))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (log (+ 2 b))>
#<alt (+ (log (+ 2 b)) (/ a (+ 2 b)))>
#<alt (+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))>
#<alt (+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))>
#<alt (+ 1 b)>
#<alt (+ 1 (+ a b))>
#<alt (+ 1 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (exp a)>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt (+ b (exp a))>
#<alt b>
#<alt (* b (+ 1 (/ (exp a) b)))>
#<alt (* b (+ 1 (/ (exp a) b)))>
#<alt (* b (+ 1 (/ (exp a) b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (exp a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (exp a) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (exp a) b)) 1)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 a))>
#<alt (+ 1/4 (* a (- (* 1/16 a) 1/4)))>
#<alt (+ 1/4 (* a (- (* a (+ 1/16 (* 1/48 a))) 1/4)))>
#<alt (/ 1 (pow (+ 1 (exp a)) 2))>
#<alt (/ 1 (pow (+ 1 (exp a)) 2))>
#<alt (/ 1 (pow (+ 1 (exp a)) 2))>
#<alt (/ 1 (pow (+ 1 (exp a)) 2))>
#<alt (/ 1 (pow (+ 1 (exp a)) 2))>
#<alt (/ 1 (pow (+ 1 (exp a)) 2))>
#<alt (/ 1 (pow (+ 1 (exp a)) 2))>
#<alt (/ 1 (pow (+ 1 (exp a)) 2))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>

Calls

60 calls:

Time	Variable		Point	Expression
71.0ms	b	@	0	(+ (* b 1/2) (log 2))
13.0ms	b	@	-inf	(log b)
12.0ms	b	@	0	(log b)
5.0ms	b	@	inf	(log b)
0.0ms	a	@	-inf	(pow (+ 1 (exp a)) -2)

rewrite783.0ms (6.5%)

Memory

12.0MiB live, 297.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 058×	`lower-fma.f32`
5 050×	`lower-fma.f64`
4 208×	`lower-*.f32`
4 202×	`lower-*.f64`
4 128×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	123
0	48	123
1	186	123
2	1559	123
0	8451	119

Stop Event

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

Counts

16 → 381

Calls

Call 1

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

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

simplify440.0ms (3.6%)

Memory

-2.4MiB live, 347.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 354×	`lower-fma.f64`
10 354×	`lower-fma.f32`
4 274×	`lower-+.f64`
4 274×	`lower-+.f32`
3 978×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	3211
1	1105	3081
2	3455	2848
3	7997	2848
0	8001	2589

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 236

Calls

Call 1

Inputs
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (+ (/ 1 (* b (+ 1 (exp a)))) (/ (log (+ 1 (exp a))) (pow b 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (* -1 (/ (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))) b))))
(+ (log 2) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (log 2) (+ (* a (+ 1/2 (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log 2) (+ (* a (+ 1/2 (+ (* a (+ 1/8 (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))))
(/ b (+ 1 (exp a)))
(* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))
(* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))
(* b (+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))
(* (pow b 2) (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* (pow b 2) (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* -1 (* (pow b 2) (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* (pow b 2) (+ (* -1 (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))) (/ 1 (* b (+ 1 (exp a))))))
(* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b))))
(+ (* a (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (* a (+ (* a (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b)))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(+ (* a (+ (* a (+ (* a (* b (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))) (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) (* b (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))) (* b (+ 1/2 (+ (* -1/8 b) (* 1/4 b)))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a))))))
(/ 1 (+ 1 (exp a)))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(+ (* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))
(* b (- (* 1/2 (/ 1 (+ 1 (exp a)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* b (- (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (* 1/2 (/ 1 (+ 1 (exp a)))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ 1 (+ 1 (exp a)))) (/ 1 (* b (+ 1 (exp a))))))))
(+ 1/2 (+ (* -1/8 b) (* 1/4 b)))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (* 1/8 b)) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (* 1/2 (+ (* -1/4 b) (* 3/16 b))))))) 1/4)))))
(+ 1/2 (+ (* -1/8 b) (+ (* 1/4 b) (* a (- (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* 1/2 (+ (* -1/4 b) (* 3/16 b))) (* a (+ 1/48 (+ (* -1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))) (* 1/2 (+ (* -1 (+ (* -1/4 b) (* 3/16 b))) (+ (* -3/16 b) (* 5/48 b)))))))))))) 1/4)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (+ (* 1/2 (/ b (+ 1 (exp a)))) (/ 1 (+ 1 (exp a)))))
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(log b)
(log b)
(log b)
(log b)
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(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)))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2)))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/8 b) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* b (+ 1/8 (* -1/20 b))) 1/6))))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b)))) (/ 4/3 (pow b 3)))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 2 (/ 1 (pow b 4)))))) (/ 4/3 (pow b 3)))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* 4/3 (/ 1 (pow b 2))) 2) b))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* 4/3 (/ 1 (pow b 2))) (+ 2 (/ 2 (pow b 3)))) b))))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(log (+ 2 b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))
(+ 1 b)
(+ 1 (+ a b))
(+ 1 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
(exp a)
(+ b (exp a))
(+ b (exp a))
(+ b (exp a))
b
(* b (+ 1 (/ (exp a) b)))
(* b (+ 1 (/ (exp a) b)))
(* b (+ 1 (/ (exp a) b)))
b
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
(* -1 (* b (- (* -1 (/ (exp a) b)) 1)))
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)
1/4
(+ 1/4 (* -1/4 a))
(+ 1/4 (* a (- (* 1/16 a) 1/4)))
(+ 1/4 (* a (- (* a (+ 1/16 (* 1/48 a))) 1/4)))
(/ 1 (pow (+ 1 (exp a)) 2))
(/ 1 (pow (+ 1 (exp a)) 2))
(/ 1 (pow (+ 1 (exp a)) 2))
(/ 1 (pow (+ 1 (exp a)) 2))
(/ 1 (pow (+ 1 (exp a)) 2))
(/ 1 (pow (+ 1 (exp a)) 2))
(/ 1 (pow (+ 1 (exp a)) 2))
(/ 1 (pow (+ 1 (exp a)) 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)))))))
(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)))

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

eval86.0ms (0.7%)

Memory: 12.5MiB live, 164.5MiB allocated
Compiler: Compiled 18 938 to 1 721 computations (90.9% saved)

prune80.0ms (0.7%)

Memory

14.4MiB live, 179.6MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	654	8	662
Fresh	4	13	17
Picked	2	3	5
Done	0	3	3
Total	660	27	687

Accuracy

99.0%

Counts

687 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(fma.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)
	52.4%	(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
	48.0%	(fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	47.9%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	47.8%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	47.6%	(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
▶	47.0%	(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)))
	47.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	47.0%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	47.8%	(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 (*.f64 b b) #s(literal 1/4 binary64))))
	47.8%	(/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
	49.5%	(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
▶	97.9%	(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
✓	98.1%	(+.f64 (.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
▶	12.2%	(*.f64 b #s(literal 1/2 binary64))
▶	97.4%	(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
✓	96.3%	(log1p.f64 (+.f64 (exp.f64 a) b))
▶	47.6%	(log1p.f64 (+.f64 #s(literal 1 binary64) b))
	45.7%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	48.7%	(log1p.f64 (exp.f64 b))
✓	49.5%	(log1p.f64 (exp.f64 a))
	47.4%	(log1p.f64 #s(literal 1 binary64))
	6.3%	(log.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 1 binary64)))
	47.0%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
✓	50.9%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	52.4%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	51.2%	(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (/.f64 (exp.f64 a) b)))))

Compiler

Compiled 545 to 390 computations (28.4% saved)

simplify18.0ms (0.2%)

Memory

-15.6MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
✓	cost-diff	(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
✓	cost-diff	(*.f64 a #s(literal -1/192 binary64))
✓	cost-diff	(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
✓	cost-diff	(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	(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)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) b)
✓	cost-diff	(log1p.f64 (+.f64 #s(literal 1 binary64) b))
✓	cost-diff	(*.f64 b #s(literal 1/2 binary64))
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))

Rules

496×	`lower-fma.f32`
486×	`lower-fma.f64`
244×	`lower-+.f32`
238×	`lower-+.f64`
162×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	107
0	45	107
1	87	107
2	160	107
3	267	107
4	326	107
5	352	107
6	354	107
0	354	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (0.7%)

Memory

7.9MiB live, 165.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
✓	accuracy	100.0%	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
✓	accuracy	99.9%	(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)))
✓	accuracy	99.9%	(fma.f64 a (fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
✓	accuracy	99.5%	(*.f64 a #s(literal -1/192 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) b))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))

Samples

53.0ms	254×	0	valid
1.0ms	1×	5	exit
0.0ms	1×	0	invalid

Compiler

Compiled 109 to 29 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 10.0ms (26.7% of total)

ival-add: 9.0ms (24% of total)

ival-log1p: 7.0ms (18.7% of total)

const: 4.0ms (10.7% of total)

ival-log: 3.0ms (8% of total)

ival-div: 2.0ms (5.3% of total)

ival-exp: 2.0ms (5.3% of total)

exact: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

series14.0ms (0.1%)

Memory

-14.6MiB live, 24.0MiB allocated

Counts

15 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(+ (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))
3.0ms	a	@	inf	(+ (* a (+ (* a (+ (* a (* a -1/192)) 1/8)) 1/2)) (log 2))
0.0ms	b	@	-inf	(/ b (+ 1 (exp a)))
0.0ms	a	@	-inf	(+ (* a (+ (* a (+ (* a (* a -1/192)) 1/8)) 1/2)) (log 2))
0.0ms	a	@	inf	(+ (* a (+ (* a (* a -1/192)) 1/8)) 1/2)

rewrite299.0ms (2.5%)

Memory

-1.7MiB live, 551.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 544×	`lower-*.f32`
4 540×	`lower-*.f64`
4 056×	`lower-fma.f32`
4 046×	`lower-fma.f64`
4 000×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	87
0	45	87
1	207	87
2	1779	87
0	8573	87

Stop Event

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

Counts

15 → 349

Calls

Call 1

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

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

simplify276.0ms (2.3%)

Memory

1.8MiB live, 518.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 728×	`lower-fma.f64`
8 728×	`lower-fma.f32`
3 868×	`lower-*.f64`
3 868×	`lower-*.f32`
3 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	2161
1	912	2111
2	2649	2053
0	8163	1799

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

Calls

Call 1

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

Outputs
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(fma.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log 2) (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) (fma.f64 a (fma.f64 (*.f64 a b) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ 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 (.f64 a b) #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)))
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))
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)
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* -1/8 b))))
(fma.f64 b (fma.f64 b #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* b (- (* 1/24 b) 1/8)))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/24 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* -1 (log (/ 1 b)))
(log.f64 b)
(+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))
(+.f64 (log.f64 b) (/.f64 #s(literal 2 binary64) b))
(- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))
(+.f64 (log.f64 b) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) b)) b))
(- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))
(+.f64 (/.f64 #s(literal 2 binary64) b) (+.f64 (log.f64 b) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) b) #s(literal -2 binary64)) (*.f64 b b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b))))
(+.f64 (/.f64 #s(literal 2 binary64) b) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) b)) b))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) b) #s(literal -2 binary64)) b)) b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
b
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
b
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(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 a (*.f64 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 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
(* (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 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a))))) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (.f64 a (.f64 a a))))))
(* -1/192 (pow a 4))
(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
(* (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)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 a))
(fma.f64 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 a (*.f64 a #s(literal -1/192 binary64)) #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 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* -1/192 (pow a 3))
(.f64 a (.f64 a (*.f64 a #s(literal -1/192 binary64))))
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (.f64 a a)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a a) (.f64 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 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192))
(.f64 (.f64 a a) (.f64 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)))))))
(* -1/192 (pow a 3))
(.f64 a (.f64 a (*.f64 a #s(literal -1/192 binary64))))
(* -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))) (.f64 a (.f64 a (neg.f64 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))) (.f64 a (.f64 a (neg.f64 a))))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+ 1/8 (* -1/192 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+ 1/8 (* -1/192 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(* -1/192 (pow a 2))
(.f64 a (.f64 a #s(literal -1/192 binary64)))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* -1/192 (pow a 2))
(.f64 a (.f64 a #s(literal -1/192 binary64)))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192))
(.f64 (.f64 a a) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(* -1/192 a)
(*.f64 a #s(literal -1/192 binary64))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(fma.f64 b (fma.f64 b (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 b #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+ (log 1/2) (* -2 (log (/ 1 b))))
(fma.f64 #s(literal 2 binary64) (log.f64 b) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (* 2 (/ 1 b))))
(+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 #s(literal 2 binary64) (log.f64 b) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b)))))
(+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 (fma.f64 (exp.f64 a) #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (log.f64 b) (log.f64 #s(literal 1/2 binary64)))))
(+ (log 1/2) (+ (* -2 (log (/ 1 b))) (+ (* 1/6 (/ (+ 16 (* -24 (+ 1 (exp a)))) (pow b 3))) (+ (* 1/2 (/ (- (* 4 (+ 1 (exp a))) 4) (pow b 2))) (* 2 (/ 1 b))))))
(+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (log.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (exp.f64 a) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 b b)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (exp.f64 a) #s(literal -24 binary64) #s(literal -8 binary64)) (.f64 b (*.f64 b b))) (/.f64 #s(literal 2 binary64) b))))
(+ (log 1/2) (* -2 (log (/ -1 b))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* 2 (/ 1 b))))
(+.f64 (/.f64 #s(literal 2 binary64) b) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (+ 1 (exp a))) 4) b)) 2) b))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (fma.f64 (exp.f64 a) #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b) #s(literal -2 binary64)) b))
(+ (log 1/2) (+ (* -2 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (+ 1 (exp a))) 16) b)) (* 1/2 (- (* 4 (+ 1 (exp a))) 4))) b)) 2) b))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -2 binary64) (log.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 (exp.f64 a) #s(literal 24 binary64) #s(literal 8 binary64)) (/.f64 #s(literal -1/6 binary64) b))) b)) b))
(log (+ 2 (* b (+ 1 (* 1/2 b)))))
(log.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (/ a (+ 2 (* b (+ 1 (* 1/2 b))))))
(+.f64 (log.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 a (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (log (+ 2 (* b (+ 1 (* 1/2 b))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 3))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) (/ 1 (pow (+ 2 (* b (+ 1 (* 1/2 b)))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))))))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 a #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -3 binary64) (.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(exp a)
(exp.f64 a)
(+ b (exp a))
(+.f64 (exp.f64 a) b)
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))
(*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (exp.f64 a) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ (exp a) (pow b 2)))))
(*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (exp.f64 a) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))
(fma.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) b))) b (.f64 #s(literal 1/2 binary64) (.f64 b b)))
(* (pow b 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (exp a) b)) 1) b))))
(fma.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) b))) b (.f64 #s(literal 1/2 binary64) (.f64 b 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 (+ 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)) a))
(+ 1 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* 1/2 b)))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
(+ (exp a) (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 b))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(* b (+ 1/2 (/ 1 b)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(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 a (*.f64 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))

eval72.0ms (0.6%)

Memory: 42.5MiB live, 116.8MiB allocated
Compiler: Compiled 12 193 to 1 454 computations (88.1% saved)

prune81.0ms (0.7%)

Memory

-28.2MiB live, 126.6MiB allocated

Pruning

31 alts after pruning (21 fresh and 10 done)

	Pruned	Kept	Total
New	599	6	605
Fresh	1	15	16
Picked	0	5	5
Done	1	5	6
Total	601	31	632

Accuracy

99.0%

Counts

632 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.6%	(fma.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)
	52.4%	(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
	48.0%	(fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	47.9%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	47.8%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	47.6%	(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
✓	47.0%	(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)))
	47.0%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	47.0%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	47.8%	(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 (*.f64 b b) #s(literal 1/4 binary64))))
	47.8%	(/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
	63.8%	(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))))
	53.2%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	49.5%	(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
✓	97.9%	(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
✓	98.1%	(+.f64 (.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
	56.6%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
	2.2%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
✓	12.2%	(*.f64 b #s(literal 1/2 binary64))
	2.4%	(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
✓	97.4%	(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
✓	96.3%	(log1p.f64 (+.f64 (exp.f64 a) b))
✓	47.6%	(log1p.f64 (+.f64 #s(literal 1 binary64) b))
	45.7%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	97.4%	(log1p.f64 (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))))
	48.7%	(log1p.f64 (exp.f64 b))
✓	49.5%	(log1p.f64 (exp.f64 a))
	47.4%	(log1p.f64 #s(literal 1 binary64))
	6.3%	(log.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 1 binary64)))
	47.0%	(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
✓	50.9%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 828 to 401 computations (51.6% saved)

regimes74.0ms (0.6%)

Memory

13.8MiB live, 92.9MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(fma.f64 a #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 (.f64 b (.f64 b #s(literal 1/2 binary64))))
(log.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 1 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 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 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)))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))))
(log.f64 (+.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))))
(log1p.f64 (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (/.f64 (exp.f64 a) b)))))
(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)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 (*.f64 b b) #s(literal 1/4 binary64))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
(+.f64 (.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (.f64 b b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))))

Outputs

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

Calls

6 calls:

16.0ms	a
13.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
12.0ms	b
10.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
98.1%	1	`a`
98.1%	1	`b`
98.1%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.1%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.1%	1	`(exp.f64 a)`
98.1%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes330.0ms (2.7%)

Memory

-46.0MiB live, 115.5MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
(fma.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 b #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) a))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(fma.f64 a #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 (.f64 b (.f64 b #s(literal 1/2 binary64))))
(log.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) b #s(literal 1 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 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 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)))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (exp.f64 b)))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 (exp.f64 a)))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a))))
(log.f64 (+.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))))
(log1p.f64 (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (/.f64 (exp.f64 a) b)))))
(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)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 (*.f64 b b) #s(literal 1/4 binary64))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))

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

Calls

6 calls:

276.0ms	a
12.0ms	b
11.0ms	(exp.f64 a)
10.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes64.0ms (0.5%)

Memory

-5.6MiB live, 76.3MiB allocated

Counts

37 → 1

Calls

Call 1

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

Calls

6 calls:

15.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
12.0ms	a
11.0ms	b
8.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
97.4%	1	`a`
97.4%	1	`b`
97.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.4%	1	`(exp.f64 a)`
97.4%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes52.0ms (0.4%)

Memory

30.9MiB live, 69.2MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`a`
97.4%	1	`b`
97.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.4%	1	`(exp.f64 a)`
97.4%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes51.0ms (0.4%)

Memory

-11.5MiB live, 67.0MiB allocated

Counts

30 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (+.f64 (exp.f64 a) b))

Calls

6 calls:

11.0ms	b
9.0ms	a
8.0ms	(exp.f64 b)
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
96.3%	1	`a`
96.3%	1	`b`
96.3%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.3%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.3%	1	`(exp.f64 a)`
96.3%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes47.0ms (0.4%)

Memory

-19.3MiB live, 57.7MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
97.3%	2	`a`
97.3%	2	`(exp.f64 a)`
70.3%	4	`b`
97.3%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.3%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
54.9%	2	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes25.0ms (0.2%)

Memory

35.8MiB live, 35.8MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes25.0ms (0.2%)

Memory

-3.0MiB live, 35.4MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

(fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes26.0ms (0.2%)

Memory

-8.7MiB live, 31.3MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms	a
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
96.5%	2	`a`
96.5%	2	`(exp.f64 a)`
96.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes22.0ms (0.2%)

Memory

-8.4MiB live, 30.2MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.1%	2	`a`
96.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
96.1%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes19.0ms (0.2%)

Memory

-12.5MiB live, 26.1MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

Calls

4 calls:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes17.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(fma.f64 b #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
95.9%	2	`a`
95.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
95.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
95.9%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes15.0ms (0.1%)

Memory

-16.7MiB live, 21.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(log1p.f64 (+.f64 #s(literal 1 binary64) b))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.8%	2	`a`
95.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
95.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
95.8%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(log.f64 (+.f64 b #s(literal 2 binary64)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.8%	2	`a`
95.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
95.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
95.8%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory

-22.9MiB live, 17.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(log1p.f64 #s(literal 1 binary64))

Calls

4 calls:

6.0ms	a
2.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
95.5%	2	`a`
95.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
95.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
95.5%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
52.6%	1	`(exp.f64 b)`
52.6%	1	`b`
52.6%	1	`a`
52.6%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
52.6%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.6%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes11.0ms (0.1%)

Memory

-22.4MiB live, 16.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))

Outputs
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)

Calls

6 calls:

3.0ms	b
2.0ms	a
1.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
1.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
52.4%	1	`b`
52.4%	1	`a`
52.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
52.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
52.4%	1	`(exp.f64 a)`
52.4%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b #s(literal 1/2 binary64))

Outputs
(*.f64 b #s(literal 1/2 binary64))

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
12.2%	1	`b`
12.2%	1	`a`
12.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.2%	1	`(exp.f64 a)`
12.2%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000191148364	1.164683856602584

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.6264240121773752e-36

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.164683856602584	1.9897754542683403

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000191148364	1.164683856602584

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000191148364	1.164683856602584

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000191148364	1.164683856602584

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4420104750885077e-9	0.1646838566025838

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4420104750885077e-9	0.1646838566025838

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4420104750885077e-9	0.1646838566025838

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4420104750885077e-9	0.1646838566025838

Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
12×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	279
1	87	279

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log1p.f64 (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2476979795053773/2251799813685248 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2476979795053773/2251799813685248 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2476979795053773/2251799813685248 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2476979795053773/2251799813685248 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (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 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (log1p.f64 (+.f64 #s(literal 1 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(*.f64 b #s(literal 1/2 binary64))

Outputs
(+.f64 (.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log1p.f64 (*.f64 b (+.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))))
(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log1p.f64 (+.f64 b (exp.f64 a)))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2476979795053773/2251799813685248 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2476979795053773/2251799813685248 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2476979795053773/2251799813685248 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2476979795053773/2251799813685248 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (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 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (log1p.f64 (+.f64 #s(literal 1 binary64) b)))
(if (<=.f64 (exp.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (log1p.f64 (+.f64 b #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (fma.f64 b #s(literal 1/8 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(*.f64 b #s(literal 1/2 binary64))

soundness1.5s (12.4%)

Memory

33.6MiB live, 1 039.4MiB allocated

Rules

18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
10 354×	`lower-fma.f64`
10 354×	`lower-fma.f32`
9 050×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	2161
1	912	2111
2	2649	2053
0	8163	1799
0	451	3524
1	1399	3416
2	4340	3295
0	8214	2892
0	25	124
0	48	122
1	202	122
2	1874	121
0	8473	113
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500
0	363	3211
1	1105	3081
2	3455	2848
3	7997	2848
0	8001	2589

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

Compiler

Compiled 864 to 497 computations (42.5% saved)

preprocess114.0ms (0.9%)

Memory: 2.2MiB live, 197.2MiB allocated
Compiler: Compiled 686 to 218 computations (68.2% 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	26	157
0	48	157
1	77	157
2	119	157
3	154	157
4	157	157
5	219	157
6	314	157
7	436	157
8	501	157
9	514	157
10	514	157
0	514	153

Iter	Nodes	Cost
0	23	107
0	45	107
1	87	107
2	160	107
3	267	107
4	326	107
5	352	107
6	354	107
0	354	107

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	26	157
0	48	157
1	77	157
2	119	157
3	154	157
4	157	157
5	219	157
6	314	157
7	436	157
8	501	157
9	514	157
10	514	157
0	514	153

Iter	Nodes	Cost
0	23	107
0	45	107
1	87	107
2	160	107
3	267	107
4	326	107
5	352	107
6	354	107
0	354	107

analyze154.0ms (1.3%)

sample4.4s (36.8%)

preprocess18.0ms (0.2%)

explain147.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize67.0ms (0.6%)

series93.0ms (0.8%)

rewrite89.0ms (0.7%)

simplify478.0ms (4%)

eval19.0ms (0.2%)

prune20.0ms (0.2%)

simplify51.0ms (0.4%)

localize176.0ms (1.5%)

series233.0ms (1.9%)

rewrite369.0ms (3.1%)

simplify307.0ms (2.5%)

eval196.0ms (1.6%)

prune211.0ms (1.7%)

simplify54.0ms (0.4%)

localize152.0ms (1.3%)

series111.0ms (0.9%)

rewrite783.0ms (6.5%)

simplify440.0ms (3.6%)

eval86.0ms (0.7%)

prune80.0ms (0.7%)

simplify18.0ms (0.2%)

localize85.0ms (0.7%)

series14.0ms (0.1%)

rewrite299.0ms (2.5%)

simplify276.0ms (2.3%)

eval72.0ms (0.6%)

prune81.0ms (0.7%)

regimes74.0ms (0.6%)

regimes330.0ms (2.7%)

regimes64.0ms (0.5%)

regimes52.0ms (0.4%)

regimes51.0ms (0.4%)

regimes47.0ms (0.4%)

regimes25.0ms (0.2%)

regimes25.0ms (0.2%)

regimes26.0ms (0.2%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.5s (12.4%)

preprocess114.0ms (0.9%)

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	26	157
0	48	157
1	77	157
2	119	157
3	154	157
4	157	157
5	219	157
6	314	157
7	436	157
8	501	157
9	514	157
10	514	157
0	514	153

Iter	Nodes	Cost
0	23	107
0	45	107
1	87	107
2	160	107
3	267	107
4	326	107
5	352	107
6	354	107
0	354	107