Metrics for symmetry log of sum of exp

analyze145.0ms (1.1%)

Memory

7.4MiB live, 201.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample4.6s (36.3%)

Memory

124.7MiB live, 5 335.0MiB allocated

Samples

1.8s	6 918×	5	exit
790.0ms	1 496×	2	valid
694.0ms	2 309×	1	valid
288.0ms	4 451×	0	valid
115.0ms	927×	1	exit

Precisions

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

ival-log: 1.3s (45.3% of total)

ival-exp: 803.0ms (27.7% of total)

adjust: 489.0ms (16.9% of total)

ival-add: 276.0ms (9.5% of total)

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

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

Bogosity

preprocess16.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort a b)

explain153.0ms (1.2%)

Memory

-22.1MiB live, 171.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	-	`(+.f64 (exp.f64 a) (exp.f64 b))`
0	-	-	`a`
0	-	-	`(exp.f64 b)`
0	-	-	`b`
0	-	-	`(exp.f64 a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	sensitivity	121	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	oflow-rescue	5	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	5
↳	`(exp.f64 b)`	overflow	5
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	4	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	4
↳	`(exp.f64 a)`	underflow	127
↳	`(exp.f64 b)`	underflow	4

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	0	0	126

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	92×	2	valid
38.0ms	130×	1	valid
18.0ms	290×	0	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-log: 38.0ms (53.3% of total)

ival-exp: 24.0ms (33.7% of total)

adjust: 4.0ms (5.6% of total)

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

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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

localize58.0ms (0.5%)

Memory

-6.7MiB live, 83.9MiB 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	54.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

22.0ms	46×	2	valid
15.0ms	145×	0	valid
13.0ms	65×	1	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-log: 19.0ms (54.6% of total)

ival-exp: 12.0ms (34.5% of total)

adjust: 2.0ms (5.7% of total)

ival-add: 2.0ms (5.7% of total)

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

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

series89.0ms (0.7%)

Memory

9.5MiB live, 123.5MiB 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
29.0ms	a	@	inf	(log (+ (exp a) (exp b)))
23.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
21.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
14.0ms	b	@	inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite104.0ms (0.8%)

Memory

-4.7MiB live, 145.8MiB 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)

simplify504.0ms (4%)

Memory

15.8MiB live, 619.1MiB 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)

eval18.0ms (0.1%)

Memory: -6.9MiB live, 35.9MiB allocated
Compiler: Compiled 2 882 to 386 computations (86.6% saved)

prune20.0ms (0.2%)

Memory

8.7MiB live, 47.8MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	139	10	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	11	150

Accuracy

99.0%

Counts

150 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(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)))
	54.7%	(-.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))))))
	98.2%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
▶	54.8%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	49.3%	(log1p.f64 (exp.f64 b))
▶	50.7%	(log1p.f64 (exp.f64 a))
	54.2%	(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))))
▶	54.0%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
	53.3%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	54.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶	49.3%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 276 to 192 computations (30.4% saved)

simplify52.0ms (0.4%)

Memory

-11.5MiB live, 66.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	cost-diff	256	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
✓	cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	192	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	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

1 478×	`lower-fma.f32`
1 470×	`lower-fma.f64`
574×	`lower-*.f32`
572×	`lower-*.f64`
360×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	184
0	50	182
1	89	178
2	175	178
3	416	177
4	889	177
5	1273	172
6	1453	172
7	1484	172
8	1484	172
0	1484	166

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

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

localize173.0ms (1.4%)

Memory

14.3MiB live, 216.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
✓	accuracy	54.9%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	58.3%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	98.0%	(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) (exp.f64 a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
✓	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))))

Samples

54.0ms	46×	2	valid
40.0ms	144×	0	valid
40.0ms	66×	1	valid

Compiler

Compiled 205 to 32 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-log: 35.0ms (32.1% of total)

ival-add: 14.0ms (12.8% of total)

ival-mult: 13.0ms (11.9% of total)

ival-div: 12.0ms (11% of total)

ival-exp: 12.0ms (11% of total)

adjust: 9.0ms (8.3% of total)

ival-log1p: 8.0ms (7.3% of total)

ival-pow2: 3.0ms (2.8% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series346.0ms (2.7%)

Memory

18.4MiB live, 395.2MiB allocated

Counts

18 → 312

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

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)))))>
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#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (exp a) (exp b)))>
#<alt (/ 1 (+ (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 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)>
#<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))>

Calls

78 calls:

Time	Variable		Point	Expression
62.0ms	a	@	inf	(log (+ (exp a) (+ (* b (+ (* b 1/2) 1)) 1)))
38.0ms	b	@	inf	(+ (* (+ (* b 1/2) 1) (/ 1 (+ 1 (exp a)))) (/ (* b -1/2) (pow (+ 1 (exp a)) 2)))
26.0ms	a	@	-inf	(log (/ 1 (+ (exp a) (exp b))))
21.0ms	b	@	-inf	(log (+ 1 (exp b)))
20.0ms	a	@	-inf	(log (+ (exp a) (+ (* b (+ (* b 1/2) 1)) 1)))

rewrite372.0ms (2.9%)

Memory

24.3MiB live, 530.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 500×	`lower-*.f32`
4 498×	`lower-*.f64`
4 216×	`lower-/.f32`
4 210×	`lower-/.f64`
2 972×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	50	136
1	204	134
2	1781	133
0	8317	127

Stop Event

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

Counts

18 → 975

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

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

simplify345.0ms (2.7%)

Memory

-12.3MiB live, 542.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 170×	`lower-fma.f64`
9 170×	`lower-fma.f32`
4 680×	`lower-*.f64`
4 680×	`lower-*.f32`
3 622×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	4312
1	1480	4183
2	4642	4074
0	8302	3644

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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

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

eval280.0ms (2.2%)

Memory: 17.8MiB live, 358.3MiB allocated
Compiler: Compiled 50 573 to 4 663 computations (90.8% saved)

prune388.0ms (3.1%)

Memory

-5.6MiB live, 249.0MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1 506	16	1 522
Fresh	1	4	5
Picked	3	2	5
Done	0	1	1
Total	1 510	23	1 533

Accuracy

99.0%

Counts

1 533 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	49.0%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	49.1%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
▶	48.6%	(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)))
	48.4%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	48.1%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	34.9%	(-.f64 (log.f64 (expm1.f64 (+.f64 b b))) (log.f64 (expm1.f64 b)))
▶	98.2%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	54.2%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.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))))))
	53.9%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
▶	95.3%	(log1p.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 a)))
	46.7%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	49.3%	(log1p.f64 (exp.f64 b))
✓	50.7%	(log1p.f64 (exp.f64 a))
▶	48.2%	(log1p.f64 #s(literal 1 binary64))
	54.0%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) (+.f64 b #s(literal 1 binary64)))))
	54.2%	(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))))
✓	54.0%	(log.f64 (+.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
	53.9%	(log.f64 (+.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 b #s(literal 1/2 binary64)))) b)))
	53.3%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	54.9%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	48.6%	(log.f64 (+.f64 b #s(literal 2 binary64)))
	2.5%	(log.f64 (.f64 b (.f64 b #s(literal 1/2 binary64))))

Compiler

Compiled 458 to 341 computations (25.5% saved)

simplify44.0ms (0.3%)

Memory

-21.9MiB live, 17.1MiB 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	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(log1p.f64 (exp.f64 a))
✓	cost-diff	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Rules

496×	`lower-fma.f32`
484×	`lower-fma.f64`
240×	`lower-+.f32`
236×	`lower-+.f64`
158×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	106
0	43	106
1	82	106
2	154	106
3	260	106
4	320	106
5	342	106
0	342	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize103.0ms (0.8%)

Memory

35.9MiB live, 74.0MiB 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%	(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (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	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	99.4%	(*.f64 a #s(literal -1/192 binary64))
✓	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%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))

Samples

77.0ms

256×

valid

Compiler

Compiled 128 to 29 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-add: 35.0ms (56.5% of total)

ival-mult: 8.0ms (12.9% of total)

ival-log1p: 8.0ms (12.9% of total)

const: 4.0ms (6.5% of total)

ival-log: 3.0ms (4.8% of total)

ival-div: 2.0ms (3.2% of total)

ival-exp: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series106.0ms (0.8%)

Memory

-3.2MiB live, 76.0MiB allocated

Counts

15 → 204

Calls

Call 1

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

Outputs
#<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 (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)>
#<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 (/ 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 (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 (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 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))>

Calls

51 calls:

Time	Variable		Point	Expression
31.0ms	b	@	0	(+ (* b 1/2) (log 2))
24.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
7.0ms	a	@	-inf	(log (+ 1 (+ (* b (+ (* b 1/2) 1)) (exp a))))
7.0ms	a	@	-inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
6.0ms	a	@	inf	(log (+ 1 (+ (* b (+ (* b 1/2) 1)) (exp a))))

rewrite421.0ms (3.3%)

Memory

10.1MiB live, 278.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 506×	`lower-fma.f32`
4 494×	`lower-fma.f64`
4 308×	`lower-/.f32`
4 306×	`lower-/.f64`
3 890×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	86
0	43	86
1	191	86
2	1596	86
0	8387	86

Stop Event

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

Counts

15 → 337

Calls

Call 1

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

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

simplify431.0ms (3.4%)

Memory

2.5MiB live, 244.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 654×	`lower-fma.f64`
7 654×	`lower-fma.f32`
3 722×	`lower-*.f64`
3 722×	`lower-*.f32`
3 700×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	2038
1	813	2002
2	2409	1946
3	7479	1946
0	8024	1692

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval156.0ms (1.2%)

Memory: -27.5MiB live, 88.3MiB allocated
Compiler: Compiled 12 619 to 1 440 computations (88.6% saved)

prune65.0ms (0.5%)

Memory

39.0MiB live, 155.8MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	563	10	573
Fresh	8	7	15
Picked	2	3	5
Done	2	1	3
Total	575	21	596

Accuracy

99.0%

Counts

596 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 b #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	49.0%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	49.1%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	48.6%	(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)))
	48.4%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	48.1%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	49.1%	(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 b b))))
	49.1%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
	52.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	58.1%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))))
	13.0%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))) (+.f64 #s(literal -1/192 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (.f64 a (.f64 a a)))))))
	2.3%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
▶	12.0%	(*.f64 #s(literal 1/2 binary64) b)
	2.4%	(.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a (.f64 a a))))
	49.3%	(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b))
▶	46.7%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
▶	95.4%	(log1p.f64 (*.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))))
▶	49.3%	(log1p.f64 (exp.f64 b))
✓	50.7%	(log1p.f64 (exp.f64 a))
✓	48.2%	(log1p.f64 #s(literal 1 binary64))
	48.6%	(log.f64 (+.f64 b #s(literal 2 binary64)))

Compiler

Compiled 473 to 323 computations (31.7% saved)

simplify295.0ms (2.3%)

Memory

-23.1MiB live, 334.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(log1p.f64 (exp.f64 b))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) b)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))
✓	cost-diff	0	(log1p.f64 (*.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))))
✓	cost-diff	832	(*.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 (exp.f64 a) b)))

Rules

5 094×	`lower-*.f32`
5 090×	`lower-*.f64`
4 582×	`lower-pow.f64`
4 582×	`lower-pow.f32`
3 624×	`exp-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
0	39	84
1	68	84
2	115	84
3	183	84
4	312	80
5	344	80
6	413	80
7	606	80
8	1119	80
9	2064	80
10	2563	80
11	3142	80
12	3948	80
13	5107	80
14	5391	80
15	5518	80
16	5632	80
17	5718	80
18	5863	80
19	7181	80
0	8022	78

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (0.5%)

Memory

4.3MiB live, 121.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	98.9%	(log1p.f64 (exp.f64 b))
✓	accuracy	100.0%	(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) b)
✓	accuracy	100.0%	(/.f64 (exp.f64 a) b)
✓	accuracy	100.0%	(+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))
✓	accuracy	100.0%	(log1p.f64 (*.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 (exp.f64 a) b))))
✓	accuracy	99.8%	(*.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 (exp.f64 a) b)))

Samples

24.0ms	128×	0	valid
21.0ms	128×	0	invalid

Compiler

Compiled 99 to 24 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log1p: 7.0ms (22.5% of total)

ival-mult: 6.0ms (19.3% of total)

ival-div: 5.0ms (16% of total)

ival-exp: 5.0ms (16% of total)

ival-add: 5.0ms (16% of total)

ival-log: 3.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.6%)

Memory

6.0MiB live, 123.1MiB allocated

Counts

13 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
22.0ms	a	@	inf	(log (+ 1 (* b (+ (+ (* 1/2 b) 1) (/ (exp a) b)))))
21.0ms	a	@	-inf	(log (+ 1 (* b (+ (+ (* 1/2 b) 1) (/ (exp a) b)))))
9.0ms	b	@	-inf	(log (+ 1 (exp b)))
6.0ms	b	@	inf	(log (+ 1 (exp b)))
1.0ms	a	@	inf	(* b (+ (+ (* 1/2 b) 1) (/ (exp a) b)))

rewrite272.0ms (2.2%)

Memory

-4.0MiB live, 507.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 950×	`lower-*.f32`
4 946×	`lower-*.f64`
4 392×	`lower-/.f32`
4 390×	`lower-/.f64`
2 454×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	69
0	39	69
1	165	69
2	1520	69
0	8347	67

Stop Event

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

Counts

13 → 441

Calls

Call 1

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

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

simplify637.0ms (5%)

Memory

2.9MiB live, 584.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 960×	`lower-fma.f64`
12 960×	`lower-fma.f32`
5 200×	`lower-*.f64`
5 200×	`lower-*.f32`
3 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1939
1	827	1851
2	2140	1681
3	7603	1681
0	8244	1448

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

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

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

eval85.0ms (0.7%)

Memory: 6.2MiB live, 118.1MiB allocated
Compiler: Compiled 14 859 to 2 041 computations (86.3% saved)

prune87.0ms (0.7%)

Memory

-18.6MiB live, 140.5MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	623	8	631
Fresh	4	8	12
Picked	1	4	5
Done	0	4	4
Total	628	24	652

Accuracy

99.0%

Counts

652 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(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)))
✓	49.0%	(fma.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
✓	49.1%	(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
✓	48.6%	(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)))
	48.4%	(fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	48.1%	(fma.f64 a #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
	49.1%	(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 b #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 b b))))
	49.1%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))))
	52.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	58.1%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))))
	5.2%	(.f64 (.f64 b b) #s(literal 1/8 binary64))
	13.0%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))) (+.f64 #s(literal -1/192 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (.f64 a (.f64 a a)))))))
	2.3%	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))
	11.6%	(*.f64 b (fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)))
✓	12.0%	(*.f64 #s(literal 1/2 binary64) b)
	49.3%	(log1p.f64 (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b))
	48.6%	(log1p.f64 (+.f64 b #s(literal 1 binary64)))
✓	46.7%	(log1p.f64 (+.f64 #s(literal 1 binary64) a))
	48.8%	(log1p.f64 (*.f64 b (fma.f64 b #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))))
	49.3%	(log1p.f64 (*.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	49.3%	(log1p.f64 (exp.f64 b))
✓	50.7%	(log1p.f64 (exp.f64 a))
✓	48.2%	(log1p.f64 #s(literal 1 binary64))
	46.7%	(log.f64 (+.f64 a #s(literal 2 binary64)))

Compiler

Compiled 733 to 350 computations (52.3% saved)

regimes72.0ms (0.6%)

Memory

12.5MiB live, 128.7MiB allocated

Counts

45 → 1

Calls

Call 1

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

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)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`a`
98.4%	1	`b`
98.4%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.4%	1	`(exp.f64 a)`
98.4%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes73.0ms (0.6%)

Memory

6.1MiB live, 94.0MiB allocated

Counts

43 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	(exp.f64 a)
13.0ms	b
12.0ms	a
11.0ms	(exp.f64 b)
10.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
98.2%	1	`a`
98.2%	1	`b`
98.2%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.2%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.2%	1	`(exp.f64 a)`
98.2%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes62.0ms (0.5%)

Memory

8.3MiB live, 84.7MiB allocated

Counts

38 → 2

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`a`
97.3%	2	`b`
97.9%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
97.9%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.6%	2	`(exp.f64 a)`
97.3%	2	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes23.0ms (0.2%)

Memory

-10.4MiB live, 29.9MiB allocated

Counts

36 → 2

Calls

Call 1

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

Calls

2 calls:

11.0ms	(exp.f64 a)
10.0ms	a

Results

Accuracy	Segments	Branch
98.3%	2	`a`
98.3%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.2%)

Memory

-10.2MiB live, 27.9MiB allocated

Counts

33 → 2

Calls

Call 1

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

Calls

2 calls:

11.0ms	a
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.3%	2	`a`
98.3%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.9%	2	`a`
97.9%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes31.0ms (0.2%)

Memory

3.5MiB live, 42.0MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
96.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
97.7%	2	`a`
97.7%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes29.0ms (0.2%)

Memory

1.2MiB live, 39.4MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

(/.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)))

Calls

4 calls:

8.0ms	a
7.0ms	b
7.0ms	(exp.f64 a)
6.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
66.3%	2	`b`
55.5%	3	`(exp.f64 b)`
97.2%	2	`a`
97.2%	2	`(exp.f64 a)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.1%)

Memory

-22.6MiB live, 17.9MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	(exp.f64 a)
6.0ms	a

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes23.0ms (0.2%)

Memory

-9.4MiB live, 29.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) 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:

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

Results

Accuracy	Segments	Branch
94.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
94.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
94.1%	2	`a`
94.1%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes19.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) 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
93.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
93.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
93.5%	2	`a`
93.5%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

-25.3MiB live, 13.3MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs
(log1p.f64 (*.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.5%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
93.5%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes21.0ms (0.2%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
49.1%	1	`b`
56.1%	2	`a`
56.1%	2	`(exp.f64 a)`
56.1%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.1%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes16.0ms (0.1%)

Memory

-16.7MiB live, 21.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) b)
(log1p.f64 (+.f64 b #s(literal 1 binary64)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.0%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
56.0%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.0%	2	`a`
56.0%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	a
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
56.0%	2	`a`
56.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	a
2.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
56.0%	2	`a`
56.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

-24.8MiB live, 15.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) b)
(log1p.f64 #s(literal 1 binary64))

Calls

4 calls:

5.0ms	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
55.6%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
55.6%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
55.6%	2	`a`
55.6%	2	`(exp.f64 a)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Accuracy

Total -6.7b remaining (-11.9%)

Threshold costs -6.7b (-11.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
12.0%	1	`b`
12.0%	1	`(exp.f64 b)`
12.0%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
12.0%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
12.0%	1	`a`
12.0%	1	`(exp.f64 a)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7799463700913694e-9

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7799463700913694e-9

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7799463700913694e-9

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7799463700913694e-9

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7799463700913694e-9

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	2.7799463700913694e-9	0.9745840951112078

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	2.7799463700913694e-9

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.7799463700913694e-9

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	1.2728807671303561	1.974584095111208

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	1.2728807671303561	1.974584095111208

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	2.7799463700913694e-9

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	2.7799463700913694e-9

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	2.7799463700913694e-9

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	2.7799463700913694e-9	0.9745840951112078

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	2.7799463700913694e-9

Compiler

Compiled 11 to 11 computations (0% saved)

simplify9.0ms (0.1%)

Memory

-27.4MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	293
1	90	293

Stop Event

1×

saturated

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)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (*.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 (exp.f64 a) b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #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))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) 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 (exp.f64 a) #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.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))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) 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 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (log1p.f64 (*.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 (+.f64 b #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log.f64 (+.f64 a #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) b)

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)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (*.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 (exp.f64 a) b)))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #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))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 b #s(literal 1 binary64)))))
(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 (exp.f64 a) #s(literal 3022314549036573/604462909807314587353088 binary64)) (/.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))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (fma.f64 a (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) 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 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 b b) b)) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) (log1p.f64 (*.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 (+.f64 b #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 (+.f64 b #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 b #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log.f64 (+.f64 a #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log.f64 (+.f64 a #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) b) (log1p.f64 #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (*.f64 b #s(literal 1/2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))

soundness1.5s (11.8%)

Memory

70.1MiB live, 1 241.0MiB allocated

Rules

18 508×	`lower-fma.f64`
18 508×	`lower-fma.f32`
12 960×	`lower-fma.f64`
12 960×	`lower-fma.f32`
9 170×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	50	136
1	204	134
2	1781	133
0	8317	127
0	490	4312
1	1480	4183
2	4642	4074
0	8302	3644
0	20	69
0	39	69
1	165	69
2	1520	69
0	8347	67
0	278	1939
1	827	1851
2	2140	1681
3	7603	1681
0	8244	1448
0	281	2038
1	813	2002
2	2409	1946
3	7479	1946
0	8024	1692
0	99	564
1	274	564
2	757	556
3	2515	548
0	8549	500

Stop Event

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

Compiler

Compiled 870 to 514 computations (40.9% saved)

preprocess170.0ms (1.3%)

Memory: -27.5MiB live, 259.6MiB allocated
Compiler: Compiled 682 to 208 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze145.0ms (1.1%)

sample4.6s (36.3%)

preprocess16.0ms (0.1%)

explain153.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize58.0ms (0.5%)

series89.0ms (0.7%)

rewrite104.0ms (0.8%)

simplify504.0ms (4%)

eval18.0ms (0.1%)

prune20.0ms (0.2%)

simplify52.0ms (0.4%)

localize173.0ms (1.4%)

series346.0ms (2.7%)

rewrite372.0ms (2.9%)

simplify345.0ms (2.7%)

eval280.0ms (2.2%)

prune388.0ms (3.1%)

simplify44.0ms (0.3%)

localize103.0ms (0.8%)

series106.0ms (0.8%)

rewrite421.0ms (3.3%)

simplify431.0ms (3.4%)

eval156.0ms (1.2%)

prune65.0ms (0.5%)

simplify295.0ms (2.3%)

localize66.0ms (0.5%)

series72.0ms (0.6%)

rewrite272.0ms (2.2%)

simplify637.0ms (5%)

eval85.0ms (0.7%)

prune87.0ms (0.7%)

regimes72.0ms (0.6%)

regimes73.0ms (0.6%)

regimes62.0ms (0.5%)

regimes23.0ms (0.2%)

regimes20.0ms (0.2%)

regimes16.0ms (0.1%)

regimes31.0ms (0.2%)

regimes29.0ms (0.2%)

regimes14.0ms (0.1%)

regimes23.0ms (0.2%)

regimes19.0ms (0.1%)

regimes10.0ms (0.1%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.5s (11.8%)

preprocess170.0ms (1.3%)

end0.0ms (0%)

Profiling

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