Metrics for Quotient of sum of exps

analyze5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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
50%	50%	50%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	6
95.2%	93.7%	4.7%	0.1%	0%	1.6%	0%	7
96%	93.7%	3.9%	0.1%	0%	2.3%	0%	8
97.2%	93.7%	2.7%	0.1%	0%	3.5%	0%	9
97.8%	93.7%	2.1%	0.1%	0%	4.1%	0%	10
98.5%	93.7%	1.5%	0.1%	0%	4.8%	0%	11
98.8%	93.7%	1.1%	0.1%	0%	5.1%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample993.0ms (11.6%)

Memory

41.3MiB live, 1 210.1MiB allocated

Samples

456.0ms	8 256×	0	valid
175.0ms	2 997×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-exp: 163.0ms (52.4% of total)

ival-div: 85.0ms (27.3% of total)

ival-add: 52.0ms (16.7% of total)

ival-true: 8.0ms (2.6% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

preprocess89.0ms (1%)

Memory

-7.5MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Rules

432×	`times-frac`
352×	`div-sub`
224×	`distribute-lft-in`
204×	`distribute-rgt-in`
182×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	40	48
2	75	48
3	144	48
4	259	43
5	468	43
6	645	43
7	900	43
8	1236	43
9	1468	43
10	1644	42
11	1827	42
12	1933	42
13	2099	42
14	2178	42
15	2208	42
16	2216	42
17	2218	42
18	2218	42
0	6	8
0	10	8
1	11	8
0	11	8

Stop Event

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

Calls

Call 1

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

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

explain109.0ms (1.3%)

Memory

-5.6MiB live, 120.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(/.f64 (exp.f64 a) (+.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
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	o/o	2	0
↳	`(exp.f64 a)`	overflow	2
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	68
↳	`(exp.f64 a)`	overflow	2
↳	`(exp.f64 b)`	overflow	66
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	u/u	2	0
↳	`(exp.f64 a)`	underflow	74
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	2
↳	`(exp.f64 a)`	underflow	74
↳	`(exp.f64 b)`	underflow	51

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 8.0ms (48.3% of total)

ival-div: 6.0ms (36.2% of total)

ival-add: 2.0ms (12.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	11	19
0	11	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.2%)

Memory

-0.2MiB live, 38.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	98.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

14.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 4.0ms (61.8% of total)

ival-div: 2.0ms (30.9% of total)

ival-add: 1.0ms (15.4% of total)

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

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

series6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

4 → 72

Calls

Call 1

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

Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (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 (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 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
1.0ms	a	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	-inf	(/ (exp a) (+ (exp a) (exp b)))

rewrite336.0ms (3.9%)

Memory

9.9MiB live, 524.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 200×	`lower-/.f32`
5 198×	`lower-/.f64`
4 032×	`lower-fma.f64`
4 032×	`lower-fma.f32`
3 280×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	32	17
2	203	17
3	1936	17
0	8631	17

Stop Event

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

Counts

4 → 314

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(+.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(+.f64 (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a)) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(+.f64 (.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(+.f64 (.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.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 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(+.f64 (.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))) (.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64)))
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 (neg.f64 a))))
(-.f64 (/.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))))) (exp.f64 (neg.f64 a))) (/.f64 (/.f64 (exp.f64 (+.f64 a b)) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (neg.f64 a))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.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 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a)) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (+.f64 a a))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (exp.f64 a) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (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))))) (.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 (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64)) (exp.f64 (.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.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)))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (+.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 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))
(.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 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 #s(literal -1 binary64) (-.f64 (neg.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 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(*.f64 (/.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 a #s(literal 6 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 (*.f64 a #s(literal 4 binary64)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (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 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify462.0ms (5.4%)

Memory

-0.2MiB live, 638.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18 438×	`lower-fma.f64`
18 438×	`lower-fma.f32`
4 430×	`lower-*.f64`
4 430×	`lower-*.f32`
2 966×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval41.0ms (0.5%)

Memory: 0.6MiB live, 75.7MiB allocated
Compiler: Compiled 11 132 to 1 164 computations (89.5% saved)

prune50.0ms (0.6%)

Memory

-35.2MiB live, 100.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	410	3	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	411	3	414

Accuracy

100.0%

Counts

414 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	79.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	63.9%	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Status

Accuracy

Program

▶

66.5%

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

▶

79.9%

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

▶

63.9%

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify117.0ms (1.4%)

Memory

24.2MiB live, 101.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

1 700×	`lower-fma.f64`
1 700×	`lower-fma.f32`
808×	`lower-*.f32`
806×	`lower-*.f64`
666×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	80
0	28	80
1	37	80
2	50	80
3	77	80
4	123	80
5	227	80
6	559	80
7	985	80
8	1461	80
9	2051	80
10	2570	80
11	2697	80
12	2744	80
13	2771	80
14	2771	80
0	2771	80

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (0.7%)

Memory

-21.6MiB live, 94.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	99.2%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	100.0%	(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
✓	accuracy	99.2%	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))

Samples

35.0ms

256×

valid

Compiler

Compiled 82 to 18 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-exp: 7.0ms (30.9% of total)

ival-div: 6.0ms (26.5% of total)

ival-add: 6.0ms (26.5% of total)

ival-sub: 1.0ms (4.4% of total)

ival-mult: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

11 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
2.0ms	b	@	0	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
2.0ms	a	@	inf	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
1.0ms	a	@	0	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
1.0ms	b	@	inf	(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))

rewrite298.0ms (3.5%)

Memory

-16.3MiB live, 378.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 722×	`lower-fma.f64`
4 722×	`lower-fma.f32`
4 358×	`lower-*.f32`
4 356×	`lower-*.f64`
3 840×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	28	66
1	113	66
2	866	66
0	8720	66

Stop Event

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

Counts

11 → 805

Calls

Call 1

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

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

simplify462.0ms (5.4%)

Memory

13.3MiB live, 646.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20 646×	`lower-fma.f64`
20 646×	`lower-fma.f32`
4 118×	`lower-+.f64`
4 118×	`lower-+.f32`
4 082×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1590
1	575	1472
2	1847	1295
3	7152	1244
0	8121	1175

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

Outputs
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* 1/2 (+ 1 (* -1/2 b)))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 a #s(literal 1/4 binary64) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 a (fma.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(fma.f64 a (fma.f64 a (fma.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b #s(literal -7/48 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1/24 binary64)) (fma.f64 b #s(literal -1/48 binary64) (+.f64 #s(literal 3/16 binary64) (neg.f64 (fma.f64 b #s(literal -1/32 binary64) #s(literal 1/8 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/16 binary64)))) #s(literal 1/4 binary64)) (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1/2 b))
(fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b))))
(fma.f64 b (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))))
(fma.f64 b (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 a b) #s(literal -1/48 binary64)) (*.f64 b #s(literal 1/4 binary64))) (fma.f64 b #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* 1/4 (* a b)))
(*.f64 b (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))
(*.f64 b (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 a b) #s(literal -1/48 binary64)) (.f64 b #s(literal 1/4 binary64))) (.f64 b #s(literal -1/2 binary64)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
-2
#s(literal -2 binary64)
(- (* -1 a) 2)
(-.f64 #s(literal -2 binary64) a)
(- (* a (- (* -1/2 a) 1)) 2)
(fma.f64 a (fma.f64 a #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 2)
(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 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(fma.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* 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 2 binary64))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(fma.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))

eval120.0ms (1.4%)

Memory: 35.5MiB live, 221.4MiB allocated
Compiler: Compiled 23 318 to 2 293 computations (90.2% saved)

prune121.0ms (1.4%)

Memory

16.9MiB live, 248.7MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 042	7	1 049
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	1 043	9	1 052

Accuracy

100.0%

Counts

1 052 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.8%	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
▶	38.4%	(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	66.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	66.1%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	52.4%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	49.3%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	36.0%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓	79.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	38.6%	#s(literal 1/2 binary64)

Compiler

Compiled 123 to 96 computations (22% saved)

simplify10.0ms (0.1%)

Memory

-31.7MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 b #s(literal 2 binary64))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓	cost-diff	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓	cost-diff	(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(/.f64 (exp.f64 a) #s(literal 2 binary64))

Rules

12×	`lower-+.f32`
10×	`lower-+.f64`
8×	`lower-*.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
0	21	34
1	28	34
0	28	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.4%)

Memory

28.3MiB live, 65.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓	accuracy	100.0%	(exp.f64 a)

Samples

22.0ms

256×

valid

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

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

ival-div: 3.0ms (24.7% of total)

ival-add: 3.0ms (24.7% of total)

ival-mult: 3.0ms (24.7% of total)

ival-exp: 2.0ms (16.4% of total)

exact: 1.0ms (8.2% of total)

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

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

series3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (exp.f64 a) #s(literal 2 binary64))>
#<alt (exp.f64 a)>
#<alt (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))>
#<alt (+.f64 b #s(literal 2 binary64))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* -1/4 b)>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/8 b) 1/4)))>
#<alt (+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))>
#<alt (/ 1 b)>
#<alt (/ (- 1 (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* 2 (/ 1 b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/ (exp a) 2)
0.0ms	a	@	inf	(+ (* a 1/4) 1/2)
0.0ms	a	@	inf	(/ (exp a) 2)
0.0ms	a	@	-inf	(/ (exp a) 2)
0.0ms	b	@	inf	(+ (* b -1/4) 1/2)

rewrite347.0ms (4%)

Memory

-13.6MiB live, 496.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 942×	`lower-fma.f32`
4 938×	`lower-fma.f64`
4 634×	`lower-*.f64`
4 634×	`lower-*.f32`
2 512×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
0	21	22
1	82	22
2	463	22
3	3751	22
0	8157	22

Stop Event

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

Counts

6 → 420

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal -2 binary64))
(pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))))) #s(literal -1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(.f64 (.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (neg.f64 a) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (exp.f64 a) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (exp.f64 a)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (exp.f64 a)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal -1 binary64)))
(.f64 (exp.f64 (.f64 (neg.f64 a) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 a))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(exp.f64 a)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))
(neg.f64 (neg.f64 (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))) (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a (/.f64 (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 a #s(literal 1/4 binary64)) (/.f64 (.f64 a #s(literal 1/4 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a a) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1/16 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 a #s(literal 1/16 binary64)) (/.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (exp.f64 (log.f64 a)) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (fma.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/16 binary64) (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 1/262144 binary64)) #s(literal 1/512 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/4096 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -1/512 binary64))))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/4096 binary64)) #s(literal -1/64 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 a (*.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/4096 binary64)) #s(literal -1/64 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/256 binary64) (.f64 (.f64 a a) (.f64 a a)) (fma.f64 #s(literal 1/64 binary64) (.f64 a a) #s(literal 1/16 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/16 binary64) (.f64 a a))) (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal -1/16 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal 1/262144 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/4096 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal -1/512 binary64)))) (fma.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/4096 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64)) (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/4096 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 (.f64 a a) (.f64 a a)) (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 (.f64 a a) (.f64 a a)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/16 binary64) (.f64 a a)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))) (fma.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 a (*.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
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(.f64 (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b (.f64 b b) #s(literal -8 binary64))) (fma.f64 b b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b b) #s(literal 8 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -4 binary64)))))
(.f64 (pow.f64 (fma.f64 (.f64 b b) (neg.f64 b) #s(literal -8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 b b #s(literal -4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b b #s(literal -4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) b))
(.f64 (pow.f64 (/.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 b #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 b b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64)) (.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 b b #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) b)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b (.f64 b b) #s(literal -8 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) b #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (.f64 b b) #s(literal 8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal 16 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (neg.f64 b) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b #s(literal -4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal 64 binary64)) (.f64 b (.f64 (*.f64 b b) #s(literal 8 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b b) #s(literal -8 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) b)))
(.f64 (exp.f64 (log.f64 (fma.f64 b (.f64 b b) #s(literal 8 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))))))
(*.f64 (exp.f64 (log.f64 (fma.f64 b b #s(literal -4 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 b #s(literal -2 binary64))))))

simplify335.0ms (3.9%)

Memory

-16.5MiB live, 394.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 740×	`lower-fma.f64`
8 740×	`lower-fma.f32`
2 440×	`lower-*.f64`
2 440×	`lower-*.f32`
1 818×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	348
1	290	340
2	631	340
3	1668	336
4	3460	336
5	6253	336
6	7748	336
0	8119	301

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* -1/4 b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/8 b) 1/4)))
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))
(/ 1 b)
(/ (- 1 (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/ 1 b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))

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

eval58.0ms (0.7%)

Memory: 6.8MiB live, 116.9MiB allocated
Compiler: Compiled 8 673 to 1 284 computations (85.2% saved)

prune71.0ms (0.8%)

Memory

32.3MiB live, 152.7MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	476	14	490
Fresh	0	2	2
Picked	2	3	5
Done	0	2	2
Total	478	21	499

Accuracy

100.0%

Counts

499 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.8%	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
	38.1%	(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
▶	38.2%	(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓	38.4%	(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
	38.3%	(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
	48.9%	(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
✓	66.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	52.4%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
	49.3%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	79.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	3.4%	(/.f64 #s(literal 1 binary64) b)
	66.1%	(/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 a)))
▶	40.6%	(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
	35.9%	(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 512 binary64))) (-.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal 64 binary64)) (.f64 b (.f64 (*.f64 b b) #s(literal 8 binary64)))))
	39.9%	(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64)))
	42.3%	(.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
	40.1%	(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
▶	66.1%	(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
	4.0%	(*.f64 a #s(literal 1/4 binary64))
▶	3.9%	(*.f64 #s(literal -1/4 binary64) b)
✓	38.6%	#s(literal 1/2 binary64)

Compiler

Compiled 538 to 321 computations (40.3% saved)

simplify838.0ms (9.8%)

Memory

-196.7MiB live, 716.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))))
✓	cost-diff	128	(-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64))
✓	cost-diff	448	(+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))
✓	cost-diff	2176	(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
✓	cost-diff	0	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(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 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(*.f64 (exp.f64 a) #s(literal 1/2 binary64))

Rules

26 748×	`lower-fma.f32`
26 732×	`lower-fma.f64`
7 576×	`lower-+.f32`
7 574×	`lower-+.f64`
3 604×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	208
0	61	200
1	131	200
2	326	177
3	950	175
4	2789	175
5	4288	175
6	5062	175
7	5549	175
8	6122	175
9	6167	175
0	9218	164

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(exp.f64 a)
a
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
a
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))))
(fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))
(.f64 a (.f64 a a))
a
(*.f64 a a)
#s(literal 1/64 binary64)
#s(literal 1/8 binary64)
(.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))
(fma.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))
(-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64))
(*.f64 a #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/4 binary64)
(+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))
(fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 a #s(literal 1/8 binary64))

Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(exp.f64 a)
a
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
#s(literal -1/4 binary64)
b
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
a
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
b
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(/.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))
(fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))
(.f64 a (.f64 a a))
a
(*.f64 a a)
#s(literal 1/64 binary64)
#s(literal 1/8 binary64)
(.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))
(*.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)))
(fma.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64))
(fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))
(-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64))
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(*.f64 a #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/4 binary64)
(+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))
(fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64))
(fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 a #s(literal 1/8 binary64))

localize135.0ms (1.6%)

Memory

-24.1MiB live, 178.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	85.4%	(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
✓	accuracy	77.7%	(/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))))
✓	accuracy	99.9%	(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 2 binary64))
✓	accuracy	99.9%	(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -1/4 binary64) b)
✓	accuracy	100.0%	(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 a)

Samples

70.0ms

256×

valid

Compiler

Compiled 235 to 42 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 30.0ms (59.7% of total)

ival-add: 10.0ms (19.9% of total)

ival-div: 3.0ms (6% of total)

const: 3.0ms (6% of total)

ival-exp: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

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

series13.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (*.f64 (exp.f64 a) #s(literal 1/2 binary64))>
#<alt (exp.f64 a)>
#<alt (*.f64 #s(literal -1/4 binary64) b)>
#<alt (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (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 2 binary64))>
#<alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))>
#<alt (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))>
#<alt (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64))>
#<alt (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))))>
#<alt (.f64 a (.f64 a a))>
#<alt (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (* 1/4 (pow a 2))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))>
#<alt (* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))>
#<alt (* 1/4 (pow a 2))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))>
#<alt (* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (+ 1/2 (* 1/6 b))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 b)>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* b (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt -1/4>
#<alt (- (* 1/8 a) 1/4)>
#<alt (- (* a (+ 1/8 (* 1/16 a))) 1/4)>
#<alt (- (* a (+ 1/8 (* 1/16 a))) 1/4)>
#<alt (* 1/16 (pow a 2))>
#<alt (* (pow a 2) (+ 1/16 (* 1/8 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 1/16 (* 1/8 (/ 1 a))) (/ 1/4 (pow a 2))))>
#<alt (* (pow a 2) (- (+ 1/16 (* 1/8 (/ 1 a))) (/ 1/4 (pow a 2))))>
#<alt (* 1/16 (pow a 2))>
#<alt (* (pow a 2) (+ 1/16 (* 1/8 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/16 (* -1 (/ (- (* 1/4 (/ 1 a)) 1/8) a))))>
#<alt (* (pow a 2) (+ 1/16 (* -1 (/ (- (* 1/4 (/ 1 a)) 1/8) a))))>
#<alt -1/8>
#<alt (- (* 1/16 a) 1/8)>
#<alt (- (* 1/16 a) 1/8)>
#<alt (- (* 1/16 a) 1/8)>
#<alt (* 1/16 a)>
#<alt (* a (- 1/16 (* 1/8 (/ 1 a))))>
#<alt (* a (- 1/16 (* 1/8 (/ 1 a))))>
#<alt (* a (- 1/16 (* 1/8 (/ 1 a))))>
#<alt (* 1/16 a)>
#<alt (* -1 (* a (- (* 1/8 (/ 1 a)) 1/16)))>
#<alt (* -1 (* a (- (* 1/8 (/ 1 a)) 1/16)))>
#<alt (* -1 (* a (- (* 1/8 (/ 1 a)) 1/16)))>
#<alt -2>
#<alt (- (* -2 a) 2)>
#<alt (- (* a (- (* -3/2 a) 2)) 2)>
#<alt (- (* a (- (* a (- (* -5/4 a) 3/2)) 2)) 2)>
#<alt (/ 4 a)>
#<alt (/ (+ 4 (* 16 (/ 1 (pow a 2)))) a)>
#<alt (/ (- (+ 4 (* 16 (/ 1 (pow a 2)))) (/ 32 (pow a 3))) a)>
#<alt (/ (- (+ 4 (+ (* 16 (/ 1 (pow a 2))) (* 128 (/ 1 (pow a 4))))) (/ 32 (pow a 3))) a)>
#<alt (/ 4 a)>
#<alt (/ (+ 4 (* 16 (/ 1 (pow a 2)))) a)>
#<alt (* -1 (/ (- (/ 32 (pow a 3)) (+ 4 (* 16 (/ 1 (pow a 2))))) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 a)) 32) (pow a 3))) (+ 4 (* 16 (/ 1 (pow a 2))))) a))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt -1/16>
#<alt (- (* 1/16 a) 1/16)>
#<alt (- (* a (+ 1/16 (* -1/64 a))) 1/16)>
#<alt (- (* a (+ 1/16 (* a (- (* 1/256 (pow a 2)) 1/64)))) 1/16)>
#<alt (* 1/256 (pow a 4))>
#<alt (* (pow a 4) (- 1/256 (* 1/64 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/256 (/ 1/16 (pow a 3))) (* 1/64 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/256 (/ 1/16 (pow a 3))) (+ (* 1/64 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 4))))))>
#<alt (* 1/256 (pow a 4))>
#<alt (* (pow a 4) (- 1/256 (* 1/64 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/256 (/ 1/16 (pow a 3))) (* 1/64 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1/256 (* -1 (/ (- (* 1/16 (/ 1 a)) 1/16) (pow a 3)))) (* 1/64 (/ 1 (pow a 2)))))>

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(+ (* a (+ (* a 1/4) 1/2)) 1/2)
1.0ms	a	@	inf	(* (/ (+ (* (* a (* a a)) 1/64) 1/8) (* (+ (* a (- (* a 1/16) 1/8)) 1/4) (+ (+ (* a (* a 1/16)) -1/4) (* a 1/8)))) (+ (+ (* a (* a 1/16)) -1/4) (* a 1/8)))
1.0ms	a	@	0	(* (/ (+ (* (* a (* a a)) 1/64) 1/8) (* (+ (* a (- (* a 1/16) 1/8)) 1/4) (+ (+ (* a (* a 1/16)) -1/4) (* a 1/8)))) (+ (+ (* a (* a 1/16)) -1/4) (* a 1/8)))
0.0ms	a	@	-inf	(* (/ (+ (* (* a (* a a)) 1/64) 1/8) (* (+ (* a (- (* a 1/16) 1/8)) 1/4) (+ (+ (* a (* a 1/16)) -1/4) (* a 1/8)))) (+ (+ (* a (* a 1/16)) -1/4) (* a 1/8)))
0.0ms	b	@	inf	(/ 1 (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2))

rewrite583.0ms (6.8%)

Memory

25.8MiB live, 895.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 576×	`lower-*.f32`
4 560×	`lower-*.f64`
4 296×	`lower-/.f32`
4 292×	`lower-/.f64`
3 654×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	159
0	61	153
1	265	153
2	2309	153
0	8270	144

Stop Event

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

Counts

15 → 1 110

Calls

Call 1

Inputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(exp.f64 a)
(*.f64 #s(literal -1/4 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))
(-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))))
(.f64 a (.f64 a a))
(.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))

Outputs
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(exp.f64 a)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64)))) (*.f64 a #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (*.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 a #s(literal 1/4 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 a a) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 a #s(literal 1/4 binary64)) a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (.f64 a (*.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (.f64 a (*.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 a (*.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/8 binary64)))) (fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (*.f64 a #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/8 binary64)))) (fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (*.f64 a #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a a) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 a #s(literal 1/8 binary64)))))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)))) (.f64 (.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (.f64 a #s(literal 1/8 binary64))) (.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (.f64 a #s(literal 1/8 binary64)))))) (neg.f64 (-.f64 (.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))))) (neg.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 a #s(literal 1/8 binary64)) (-.f64 (.f64 a #s(literal 1/8 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (neg.f64 (.f64 (.f64 a a) #s(literal 1/64 binary64)))))) (neg.f64 (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/8 binary64) a))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)))) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/16 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 a (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)))) #s(literal -1/16 binary64)))) (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)))) #s(literal 1/64 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64))))) (neg.f64 (-.f64 (fma.f64 (.f64 a a) (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/16 binary64)) (.f64 a (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) (.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)))) #s(literal -1/16 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64))))) (neg.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64))) (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 a #s(literal 1/8 binary64)) (-.f64 (.f64 a #s(literal 1/8 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (neg.f64 (.f64 (.f64 a a) #s(literal 1/64 binary64)))) (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/8 binary64) a))))
(.f64 (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64))))
(.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))

simplify270.0ms (3.2%)

Memory

22.5MiB live, 505.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 500×	`lower-fma.f64`
7 500×	`lower-fma.f32`
4 148×	`lower-*.f64`
4 148×	`lower-*.f32`
2 192×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	1185
1	705	1178
2	1886	1147
3	5600	1140
0	8225	1022

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(* 1/4 (pow a 2))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(* 1/4 (pow a 2))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
1/2
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(+ 1/2 (* 1/6 b))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
-1/4
(- (* 1/8 a) 1/4)
(- (* a (+ 1/8 (* 1/16 a))) 1/4)
(- (* a (+ 1/8 (* 1/16 a))) 1/4)
(* 1/16 (pow a 2))
(* (pow a 2) (+ 1/16 (* 1/8 (/ 1 a))))
(* (pow a 2) (- (+ 1/16 (* 1/8 (/ 1 a))) (/ 1/4 (pow a 2))))
(* (pow a 2) (- (+ 1/16 (* 1/8 (/ 1 a))) (/ 1/4 (pow a 2))))
(* 1/16 (pow a 2))
(* (pow a 2) (+ 1/16 (* 1/8 (/ 1 a))))
(* (pow a 2) (+ 1/16 (* -1 (/ (- (* 1/4 (/ 1 a)) 1/8) a))))
(* (pow a 2) (+ 1/16 (* -1 (/ (- (* 1/4 (/ 1 a)) 1/8) a))))
-1/8
(- (* 1/16 a) 1/8)
(- (* 1/16 a) 1/8)
(- (* 1/16 a) 1/8)
(* 1/16 a)
(* a (- 1/16 (* 1/8 (/ 1 a))))
(* a (- 1/16 (* 1/8 (/ 1 a))))
(* a (- 1/16 (* 1/8 (/ 1 a))))
(* 1/16 a)
(* -1 (* a (- (* 1/8 (/ 1 a)) 1/16)))
(* -1 (* a (- (* 1/8 (/ 1 a)) 1/16)))
(* -1 (* a (- (* 1/8 (/ 1 a)) 1/16)))
-2
(- (* -2 a) 2)
(- (* a (- (* -3/2 a) 2)) 2)
(- (* a (- (* a (- (* -5/4 a) 3/2)) 2)) 2)
(/ 4 a)
(/ (+ 4 (* 16 (/ 1 (pow a 2)))) a)
(/ (- (+ 4 (* 16 (/ 1 (pow a 2)))) (/ 32 (pow a 3))) a)
(/ (- (+ 4 (+ (* 16 (/ 1 (pow a 2))) (* 128 (/ 1 (pow a 4))))) (/ 32 (pow a 3))) a)
(/ 4 a)
(/ (+ 4 (* 16 (/ 1 (pow a 2)))) a)
(* -1 (/ (- (/ 32 (pow a 3)) (+ 4 (* 16 (/ 1 (pow a 2))))) a))
(* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 a)) 32) (pow a 3))) (+ 4 (* 16 (/ 1 (pow a 2))))) a))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
-1/16
(- (* 1/16 a) 1/16)
(- (* a (+ 1/16 (* -1/64 a))) 1/16)
(- (* a (+ 1/16 (* a (- (* 1/256 (pow a 2)) 1/64)))) 1/16)
(* 1/256 (pow a 4))
(* (pow a 4) (- 1/256 (* 1/64 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/256 (/ 1/16 (pow a 3))) (* 1/64 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/256 (/ 1/16 (pow a 3))) (+ (* 1/64 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 4))))))
(* 1/256 (pow a 4))
(* (pow a 4) (- 1/256 (* 1/64 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/256 (/ 1/16 (pow a 3))) (* 1/64 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1/256 (* -1 (/ (- (* 1/16 (/ 1 a)) 1/16) (pow a 3)))) (* 1/64 (/ 1 (pow a 2)))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (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)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* 1/4 (pow a 2))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* 1/4 (pow a 2))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 b #s(literal 1/96 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (.f64 b (.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b)) (.f64 b (.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b)) (/.f64 #s(literal -18 binary64) (.f64 b (.f64 b b)))) (.f64 b (.f64 b b)))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (.f64 b (.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b)) (.f64 b (.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) b) #s(literal -18 binary64)) b)) (.f64 b (.f64 b b)))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/6 (pow b 3))
(.f64 #s(literal 1/6 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))) b)
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/6 (pow b 3))
(.f64 #s(literal 1/6 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (.f64 b (*.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 2 binary64) (.f64 b b))) b)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(.f64 #s(literal 1/6 binary64) (.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow b 2))
(.f64 #s(literal 1/6 binary64) (.f64 b b))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 b))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
(* b (+ 1/6 (* 1/2 (/ 1 b))))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/4 a))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/8 a) 1/4)
(fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64))
(- (* a (+ 1/8 (* 1/16 a))) 1/4)
(fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64))
(- (* a (+ 1/8 (* 1/16 a))) 1/4)
(fma.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64))
(* 1/16 (pow a 2))
(.f64 (.f64 a a) #s(literal 1/16 binary64))
(* (pow a 2) (+ 1/16 (* 1/8 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow a 2) (- (+ 1/16 (* 1/8 (/ 1 a))) (/ 1/4 (pow a 2))))
(fma.f64 a (.f64 a #s(literal 1/16 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) a))))
(* (pow a 2) (- (+ 1/16 (* 1/8 (/ 1 a))) (/ 1/4 (pow a 2))))
(fma.f64 a (.f64 a #s(literal 1/16 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) a))))
(* 1/16 (pow a 2))
(.f64 (.f64 a a) #s(literal 1/16 binary64))
(* (pow a 2) (+ 1/16 (* 1/8 (/ 1 a))))
(*.f64 a (fma.f64 a #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
(* (pow a 2) (+ 1/16 (* -1 (/ (- (* 1/4 (/ 1 a)) 1/8) a))))
(fma.f64 a (.f64 a #s(literal 1/16 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) a))))
(* (pow a 2) (+ 1/16 (* -1 (/ (- (* 1/4 (/ 1 a)) 1/8) a))))
(fma.f64 a (.f64 a #s(literal 1/16 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) a))))
-1/8
#s(literal -1/8 binary64)
(- (* 1/16 a) 1/8)
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* 1/16 a) 1/8)
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(- (* 1/16 a) 1/8)
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* 1/16 a)
(*.f64 a #s(literal 1/16 binary64))
(* a (- 1/16 (* 1/8 (/ 1 a))))
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* a (- 1/16 (* 1/8 (/ 1 a))))
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* a (- 1/16 (* 1/8 (/ 1 a))))
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* 1/16 a)
(*.f64 a #s(literal 1/16 binary64))
(* -1 (* a (- (* 1/8 (/ 1 a)) 1/16)))
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* -1 (* a (- (* 1/8 (/ 1 a)) 1/16)))
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(* -1 (* a (- (* 1/8 (/ 1 a)) 1/16)))
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/8 binary64))
-2
#s(literal -2 binary64)
(- (* -2 a) 2)
(fma.f64 a #s(literal -2 binary64) #s(literal -2 binary64))
(- (* a (- (* -3/2 a) 2)) 2)
(fma.f64 a (fma.f64 a #s(literal -3/2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(- (* a (- (* a (- (* -5/4 a) 3/2)) 2)) 2)
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -5/4 binary64) #s(literal -3/2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/ 4 a)
(/.f64 #s(literal 4 binary64) a)
(/ (+ 4 (* 16 (/ 1 (pow a 2)))) a)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 a a))) a)
(/ (- (+ 4 (* 16 (/ 1 (pow a 2)))) (/ 32 (pow a 3))) a)
(/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 a a)) (/.f64 #s(literal -32 binary64) (.f64 a (*.f64 a a))))) a)
(/ (- (+ 4 (+ (* 16 (/ 1 (pow a 2))) (* 128 (/ 1 (pow a 4))))) (/ 32 (pow a 3))) a)
(/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (.f64 a a))) (/.f64 (+.f64 (/.f64 #s(literal 128 binary64) a) #s(literal -32 binary64)) (.f64 a (*.f64 a a)))) a)
(/ 4 a)
(/.f64 #s(literal 4 binary64) a)
(/ (+ 4 (* 16 (/ 1 (pow a 2)))) a)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 a a))) a)
(* -1 (/ (- (/ 32 (pow a 3)) (+ 4 (* 16 (/ 1 (pow a 2))))) a))
(/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 a a)) (/.f64 #s(literal -32 binary64) (.f64 a (*.f64 a a))))) a)
(* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 a)) 32) (pow a 3))) (+ 4 (* 16 (/ 1 (pow a 2))))) a))
(/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (.f64 a a))) (/.f64 (+.f64 (/.f64 #s(literal 128 binary64) a) #s(literal -32 binary64)) (.f64 a (*.f64 a a)))) a)
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
-1/16
#s(literal -1/16 binary64)
(- (* 1/16 a) 1/16)
(fma.f64 a #s(literal 1/16 binary64) #s(literal -1/16 binary64))
(- (* a (+ 1/16 (* -1/64 a))) 1/16)
(fma.f64 a (fma.f64 a #s(literal -1/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))
(- (* a (+ 1/16 (* a (- (* 1/256 (pow a 2)) 1/64)))) 1/16)
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 a a) #s(literal 1/256 binary64) #s(literal -1/64 binary64)) #s(literal 1/16 binary64)) #s(literal -1/16 binary64))
(* 1/256 (pow a 4))
(.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1/256 binary64))
(* (pow a 4) (- 1/256 (* 1/64 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ 1/256 (/ 1/16 (pow a 3))) (* 1/64 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 a a))) (/.f64 #s(literal 1/16 binary64) (.f64 a (*.f64 a a)))))
(* (pow a 4) (- (+ 1/256 (/ 1/16 (pow a 3))) (+ (* 1/64 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 4))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/16 binary64) a)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/64 binary64) (*.f64 a a)))))
(* 1/256 (pow a 4))
(.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1/256 binary64))
(* (pow a 4) (- 1/256 (* 1/64 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ 1/256 (/ 1/16 (pow a 3))) (* 1/64 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 a a))) (/.f64 #s(literal 1/16 binary64) (.f64 a (*.f64 a a)))))
(* (pow a 4) (- (+ 1/256 (* -1 (/ (- (* 1/16 (/ 1 a)) 1/16) (pow a 3)))) (* 1/64 (/ 1 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/16 binary64) a)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/64 binary64) (*.f64 a a)))))

eval334.0ms (3.9%)

Memory: 12.4MiB live, 514.1MiB allocated
Compiler: Compiled 109 126 to 4 159 computations (96.2% saved)

prune197.0ms (2.3%)

Memory

17.4MiB live, 450.1MiB allocated

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	1 335	13	1 348
Fresh	3	8	11
Picked	2	3	5
Done	0	5	5
Total	1 340	29	1 369

Accuracy

100.0%

Counts

1 369 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.2%	(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	35.8%	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
	38.1%	(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓	38.2%	(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	38.3%	(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓	38.4%	(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
	37.9%	(/.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
	48.9%	(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
✓	66.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	19.4%	(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
	52.4%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	52.4%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 #s(literal 1/6 binary64) b) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓	79.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	20.1%	(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
	3.4%	(/.f64 #s(literal 1 binary64) b)
	40.6%	(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) a)))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
	40.8%	(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
	13.9%	(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (.f64 (*.f64 a a) #s(literal 1/16 binary64)))
	40.5%	(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) #s(literal -1/4 binary64))
	40.5%	(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
	35.9%	(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 512 binary64))) (-.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal 64 binary64)) (.f64 b (.f64 (*.f64 b b) #s(literal 8 binary64)))))
	39.9%	(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64)))
	42.3%	(.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
	40.1%	(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
✓	66.1%	(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
	12.3%	(.f64 a (.f64 a #s(literal 1/4 binary64)))
	4.0%	(*.f64 a #s(literal 1/4 binary64))
✓	3.9%	(*.f64 #s(literal -1/4 binary64) b)
✓	38.6%	#s(literal 1/2 binary64)

Compiler

Compiled 1 034 to 436 computations (57.8% saved)

regimes51.0ms (0.6%)

Memory

0.9MiB live, 117.0MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 #s(literal 1/6 binary64) b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) #s(literal -1/4 binary64))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (.f64 (*.f64 a a) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) a)))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 512 binary64))) (-.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal 64 binary64)) (.f64 b (.f64 (*.f64 b b) #s(literal 8 binary64)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))

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

Calls

5 calls:

12.0ms	b
10.0ms	a
10.0ms	(exp.f64 b)
9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes51.0ms (0.6%)

Memory

-32.0MiB live, 105.1MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 #s(literal 1/6 binary64) b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) #s(literal -1/4 binary64))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (.f64 (*.f64 a a) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) a)))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 512 binary64))) (-.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal 64 binary64)) (.f64 b (.f64 (*.f64 b b) #s(literal 8 binary64)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))

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

Calls

5 calls:

12.0ms	(exp.f64 b)
11.0ms	a
10.0ms	b
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.6%	2	`a`
99.6%	3	`b`
82.5%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.2%	2	`(exp.f64 a)`
99.5%	3	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes267.0ms (3.1%)

Memory

-2.8MiB live, 77.2MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 #s(literal 1/6 binary64) b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) #s(literal -1/4 binary64))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (.f64 (*.f64 a a) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) a)))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal 512 binary64))) (-.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal 64 binary64)) (.f64 b (.f64 (*.f64 b b) #s(literal 8 binary64)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 a)))

Outputs

(*.f64 (exp.f64 a) #s(literal 1/2 binary64))

(*.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (*.f64 b b) #s(literal -8 binary64)))

(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))

Calls

5 calls:

230.0ms	(exp.f64 b)
10.0ms	a
9.0ms	b
8.0ms	(exp.f64 a)
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
66.1%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
75.0%	2	`(exp.f64 b)`
80.8%	3	`b`
75.0%	2	`(exp.f64 a)`
75.1%	2	`a`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes40.0ms (0.5%)

Memory

15.4MiB live, 54.0MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 #s(literal 1/6 binary64) b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) #s(literal -1/4 binary64))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))) (fma.f64 a #s(literal 1/8 binary64) #s(literal -1/4 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (.f64 (*.f64 a a) #s(literal 1/16 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (.f64 a #s(literal 1/8 binary64))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (.f64 a (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) a)))))) (+.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (*.f64 a #s(literal 1/8 binary64))))

Outputs

(*.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))

(*.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (*.f64 b b) #s(literal -8 binary64)))

(/.f64 #s(literal 6 binary64) (*.f64 b (*.f64 b b)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
55.7%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
57.8%	2	`(exp.f64 b)`
52.4%	1	`(exp.f64 a)`
58.1%	4	`a`
63.2%	3	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

23 → 4

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 #s(literal 1/6 binary64) b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))

Outputs
(.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (*.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
61.7%	4	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-14.1MiB live, 24.4MiB allocated

Counts

22 → 4

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 #s(literal 1/6 binary64) b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 a (.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))

Outputs
#s(literal 1/2 binary64)
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))

Calls

2 calls:

8.0ms	b
5.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
55.6%	2	`(exp.f64 b)`
59.1%	4	`b`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 #s(literal 1/6 binary64) b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))

Outputs
#s(literal 1/2 binary64)
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
57.3%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.3%)

Memory

1.9MiB live, 40.4MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))

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

Calls

5 calls:

6.0ms	b
4.0ms	a
4.0ms	(exp.f64 a)
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
48.9%	1	`(exp.f64 a)`
48.9%	1	`a`
52.1%	2	`(exp.f64 b)`
52.1%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
54.6%	3	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-7.1MiB live, 34.2MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) b)
(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/4 binary64) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))

Outputs
#s(literal 1/2 binary64)
(.f64 a (.f64 a #s(literal 1/4 binary64)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
38.6%	1	`a`
38.6%	1	`(exp.f64 a)`
47.2%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
47.4%	2	`(exp.f64 b)`
47.4%	2	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-20.9MiB live, 18.2MiB allocated

Accuracy

Total -23.0b remaining (-58.6%)

Threshold costs -23b (-58.6%)

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.6%	1	`a`
38.6%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
38.6%	1	`(exp.f64 b)`
38.6%	1	`b`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch12.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-3251690.914672699	-2951.406103411304

Samples

6.0ms

128×

valid

Compiler

Compiled 141 to 115 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (51.7% of total)

ival-div: 1.0ms (25.8% of total)

ival-add: 1.0ms (25.8% of total)

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

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

bsearch19.0ms (0.2%)

Memory

-15.0MiB live, 23.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.6417985164905554e+97	1.287421214326384e+104
5.0ms	1.845830154191572e+36	2.9073715925392356e+36

Samples

10.0ms

208×

valid

Compiler

Compiled 508 to 306 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 3.0ms (59% of total)

ival-div: 1.0ms (19.7% of total)

ival-add: 1.0ms (19.7% of total)

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

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

bsearch4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.6417985164905554e+97	1.287421214326384e+104
3.0ms	1.845830154191572e+36	2.9073715925392356e+36

Samples

1.0ms

32×

valid

Compiler

Compiled 592 to 354 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

bsearch29.0ms (0.3%)

Memory

-4.4MiB live, 34.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.1830924767558853e+149	2.7864178332462315e+155
10.0ms	1.1132097378424778e+65	3.944173330644116e+68
4.0ms	1.845830154191572e+36	2.9073715925392356e+36

Samples

15.0ms

320×

valid

Compiler

Compiled 660 to 431 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 6.0ms (65.3% of total)

ival-div: 2.0ms (21.8% of total)

ival-add: 1.0ms (10.9% of total)

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

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

bsearch11.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1830924767558853e+149	2.7864178332462315e+155
1.0ms	1.1132097378424778e+65	3.944173330644116e+68
9.0ms	4.937069017869553e+19	2.5955682650652116e+21

Samples

5.0ms

112×

valid

Compiler

Compiled 600 to 405 computations (32.5% saved)

Precisions

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

ival-div: 1.0ms (36.8% of total)

ival-exp: 1.0ms (36.8% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1132097378424778e+65	3.944173330644116e+68
1.0ms	4.937069017869553e+19	2.5955682650652116e+21

Compiler

Compiled 241 to 185 computations (23.2% saved)

bsearch12.0ms (0.1%)

Memory

-27.0MiB live, 13.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.4195589727105432e+137	1.3656902663701532e+139
1.0ms	4.937069017869553e+19	2.5955682650652116e+21

Samples

5.0ms

112×

valid

Compiler

Compiled 230 to 179 computations (22.2% saved)

Precisions

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

ival-div: 1.0ms (37.1% of total)

ival-exp: 1.0ms (37.1% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.937069017869553e+19	2.5955682650652116e+21

Compiler

Compiled 97 to 81 computations (16.5% saved)

simplify8.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	297
1	98	297

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -3000 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 2800000000000000059748203611379728384 binary64)) (.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64))) (/.f64 #s(literal 6 binary64) (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 2499999999999999884690664550530285568 binary64)) (.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64))) (/.f64 #s(literal 6 binary64) (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 2000000000000000084841274748035923968 binary64)) (.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (if (<=.f64 b #s(literal 390000000000000018709163058384596334462097100072711165034982446989312 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64))) (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64))))))
(if (<=.f64 b #s(literal 50000000000000000000 binary64)) #s(literal 1/2 binary64) (if (<=.f64 b #s(literal 390000000000000018709163058384596334462097100072711165034982446989312 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64))) (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64))))))
(if (<=.f64 b #s(literal 50000000000000000000 binary64)) #s(literal 1/2 binary64) (if (<=.f64 b #s(literal 390000000000000018709163058384596334462097100072711165034982446989312 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))))
(if (<=.f64 b #s(literal 50000000000000000000 binary64)) #s(literal 1/2 binary64) (if (<=.f64 b #s(literal 13499999999999998790721171628645004686536399563927158318404523843790036381511649753829539670195955508260292215300140761333724561003459379200 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))))
(if (<=.f64 b #s(literal 50000000000000000000 binary64)) #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
#s(literal 1/2 binary64)

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -3000 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 a #s(literal -3000 binary64)) (*.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal 2800000000000000059748203611379728384 binary64)) (.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64))) (/.f64 #s(literal 6 binary64) (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 2800000000000000059748203611379728384 binary64)) (.f64 (exp.f64 a) #s(literal 1/2 binary64)) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64))) (/.f64 #s(literal 6 binary64) (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 2499999999999999884690664550530285568 binary64)) (.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64))) (/.f64 #s(literal 6 binary64) (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 2499999999999999884690664550530285568 binary64)) (.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (.f64 (/.f64 (fma.f64 b (+.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) #s(literal -64 binary64))) (fma.f64 b (.f64 b b) #s(literal -8 binary64))) (/.f64 #s(literal 6 binary64) (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 2000000000000000084841274748035923968 binary64)) (.f64 (/.f64 (fma.f64 a (.f64 a #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal -1/8 binary64))) (fma.f64 a (.f64 a #s(literal 1/16 binary64)) (fma.f64 a #s(literal 1/8 binary64) #s(literal 1/4 binary64)))) (if (<=.f64 b #s(literal 390000000000000018709163058384596334462097100072711165034982446989312 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64))) (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64))))))
(if (<=.f64 b #s(literal 50000000000000000000 binary64)) #s(literal 1/2 binary64) (if (<=.f64 b #s(literal 390000000000000018709163058384596334462097100072711165034982446989312 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 (.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal 4 binary64))) (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64))))))
(if (<=.f64 b #s(literal 50000000000000000000 binary64)) #s(literal 1/2 binary64) (if (<=.f64 b #s(literal 390000000000000018709163058384596334462097100072711165034982446989312 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))))
(if (<=.f64 b #s(literal 50000000000000000000 binary64)) #s(literal 1/2 binary64) (if (<=.f64 b #s(literal 13499999999999998790721171628645004686536399563927158318404523843790036381511649753829539670195955508260292215300140761333724561003459379200 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (/.f64 (+.f64 b #s(literal -2 binary64)) (fma.f64 b b #s(literal -4 binary64)))))
(if (<=.f64 b #s(literal 50000000000000000000 binary64)) #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
#s(literal 1/2 binary64)

soundness1.3s (15.7%)

Memory

25.0MiB live, 901.0MiB allocated

Rules

20 646×	`lower-fma.f64`
20 646×	`lower-fma.f32`
18 438×	`lower-fma.f64`
18 438×	`lower-fma.f32`
8 740×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	348
1	290	340
2	631	340
3	1668	336
4	3460	336
5	6253	336
6	7748	336
0	8119	301
0	243	1185
1	705	1178
2	1886	1147
3	5600	1140
0	8225	1022
0	190	1590
1	575	1472
2	1847	1295
3	7152	1244
0	8121	1175
0	13	22
0	21	22
1	82	22
2	463	22
3	3751	22
0	8157	22
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640

Stop Event

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

Compiler

Compiled 825 to 476 computations (42.3% saved)

preprocess83.0ms (1%)

Memory: -34.6MiB live, 173.6MiB allocated
Compiler: Compiled 638 to 190 computations (70.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

sample993.0ms (11.6%)

preprocess89.0ms (1%)

explain109.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize21.0ms (0.2%)

series6.0ms (0.1%)

rewrite336.0ms (3.9%)

simplify462.0ms (5.4%)

eval41.0ms (0.5%)

prune50.0ms (0.6%)

simplify117.0ms (1.4%)

localize58.0ms (0.7%)

series15.0ms (0.2%)

rewrite298.0ms (3.5%)

simplify462.0ms (5.4%)

eval120.0ms (1.4%)

prune121.0ms (1.4%)

simplify10.0ms (0.1%)

localize38.0ms (0.4%)

series3.0ms (0%)

rewrite347.0ms (4%)

simplify335.0ms (3.9%)

eval58.0ms (0.7%)

prune71.0ms (0.8%)

simplify838.0ms (9.8%)

localize135.0ms (1.6%)

series13.0ms (0.2%)

rewrite583.0ms (6.8%)

simplify270.0ms (3.2%)

eval334.0ms (3.9%)

prune197.0ms (2.3%)

regimes51.0ms (0.6%)

regimes51.0ms (0.6%)

regimes267.0ms (3.1%)

regimes40.0ms (0.5%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes22.0ms (0.3%)

regimes21.0ms (0.2%)

regimes11.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch19.0ms (0.2%)

bsearch4.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

soundness1.3s (15.7%)

preprocess83.0ms (1%)

end0.0ms (0%)

Profiling