Metrics for Quotient of sum of exps

analyze6.0ms (0.1%)

Memory

-32.4MiB live, 7.1MiB 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)

sample948.0ms (10.4%)

Memory

31.5MiB live, 1 117.1MiB allocated

Samples

397.0ms	8 256×	0	valid
157.0ms	2 912×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-exp: 177.0ms (56% of total)

ival-div: 72.0ms (22.8% of total)

ival-add: 55.0ms (17.4% of total)

ival-true: 8.0ms (2.5% of total)

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

Bogosity

preprocess95.0ms (1%)

Memory

-10.5MiB live, 48.3MiB 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)))

explain78.0ms (0.9%)

Memory

28.1MiB live, 142.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.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	1	0
↳	`(exp.f64 a)`	overflow	1
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	75
↳	`(exp.f64 a)`	overflow	1
↳	`(exp.f64 b)`	overflow	74

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-exp: 7.0ms (50.7% of total)

ival-div: 3.0ms (21.7% of total)

ival-add: 3.0ms (21.7% 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

Memory

4.6MiB live, 4.6MiB 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

localize227.0ms (2.5%)

Memory

-12.7MiB live, 32.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

218.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

ival-exp: 4.0ms (58.7% of total)

ival-div: 2.0ms (29.4% of total)

ival-add: 1.0ms (14.7% of total)

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

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

series6.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB 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)))

rewrite285.0ms (3.1%)

Memory

10.0MiB live, 399.1MiB 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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.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 (-.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 (exp.f64 a) (+.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))))))
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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))

simplify488.0ms (5.3%)

Memory

-14.9MiB live, 536.0MiB 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)

eval43.0ms (0.5%)

Memory: 10.8MiB live, 83.6MiB allocated
Compiler: Compiled 11 132 to 1 164 computations (89.5% saved)

prune51.0ms (0.6%)

Memory

-17.4MiB live, 112.3MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	411	2	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	2	414

Accuracy

100.0%

Counts

414 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	82.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 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)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	15	29
1	19	29
0	19	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize30.0ms (0.3%)

Memory

10.9MiB live, 48.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓	accuracy	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))

Samples

19.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 4.0ms (40.7% of total)

ival-div: 3.0ms (30.5% of total)

ival-add: 2.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<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))>

Outputs
#<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))>

Calls

18 calls:

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

rewrite330.0ms (3.6%)

Memory

0.1MiB live, 344.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 420×	`lower-*.f64`
4 420×	`lower-*.f32`
4 362×	`lower-/.f32`
4 358×	`lower-/.f64`
2 406×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	15	25
1	57	25
2	346	25
3	2861	25
0	9194	24

Stop Event

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

Counts

6 → 529

Calls

Call 1

Inputs
(/.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))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (.f64 (.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 b) (expm1.f64 b))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (.f64 (exp.f64 b) (expm1.f64 b))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(+.f64 (.f64 (.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64) (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (/.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (.f64 (.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(fma.f64 (.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (.f64 (exp.f64 b) (expm1.f64 b))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) (.f64 (exp.f64 b) (expm1.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) (neg.f64 (exp.f64 b))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))) (.f64 (.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (.f64 b #s(literal 4 binary64))))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (.f64 (.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 b b)) (exp.f64 (.f64 b #s(literal 4 binary64)))))) #s(literal -1 binary64)) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))) (.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))) #s(literal -1 binary64)) (.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 9 binary64))))) (fma.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (expm1.f64 (.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 9 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (.f64 b #s(literal 3 binary64))) (expm1.f64 (.f64 b #s(literal 3 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (exp.f64 b) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (fma.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a))))))
(.f64 (pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))
(.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (expm1.f64 (.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a #s(literal 3 binary64)))))

simplify462.0ms (5%)

Memory

2.6MiB live, 379.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 308×	`lower-fma.f64`
8 308×	`lower-fma.f32`
2 156×	`lower-*.f64`
2 156×	`lower-*.f32`
1 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	372
1	177	372
2	370	372
3	832	372
4	1227	372
5	1438	372
6	1566	372
7	1731	372
8	2088	372
9	2921	372
10	4202	372
11	5273	372
12	5431	372
13	5484	372
14	5498	372
15	5503	372
16	5503	372
17	5560	372
18	5560	372
19	5560	372
20	5658	372
21	5690	372
22	5690	372
23	5690	372
24	5700	372
0	5700	340

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

Inputs
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))

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

eval69.0ms (0.8%)

Memory: -2.0MiB live, 150.5MiB allocated
Compiler: Compiled 10 806 to 1 637 computations (84.9% saved)

prune85.0ms (0.9%)

Memory

-11.5MiB live, 182.9MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	617	8	625
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	617	10	627

Accuracy

100.0%

Counts

627 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.1%	(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
▶	37.3%	(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
	35.0%	(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
✓	62.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	62.4%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
▶	53.3%	(/.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 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
	35.1%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓	82.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	37.6%	#s(literal 1/2 binary64)

Compiler

Compiled 145 to 112 computations (22.8% saved)

simplify16.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(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	(/.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	(*.f64 b #s(literal 1/48 binary64))
✓	cost-diff	(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
✓	cost-diff	(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(/.f64 (exp.f64 a) #s(literal 2 binary64))

Rules

496×	`lower-fma.f32`
484×	`lower-fma.f64`
194×	`lower-*.f32`
192×	`lower-*.f64`
160×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
0	35	76
1	70	76
2	132	76
3	256	76
4	320	76
5	337	76
0	337	76

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 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#s(literal 1/2 binary64)
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(*.f64 b #s(literal 1/48 binary64))
#s(literal 1/48 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)

Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp.f64 a)
a
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
a
#s(literal 1/2 binary64)
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(*.f64 b #s(literal 1/48 binary64))
#s(literal 1/48 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)

localize100.0ms (1.1%)

Memory

-23.7MiB live, 138.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	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%	(/.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	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	100.0%	(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
✓	accuracy	99.5%	(*.f64 b #s(literal 1/48 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓	accuracy	100.0%	(exp.f64 a)

Samples

67.0ms

256×

valid

Compiler

Compiled 78 to 27 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-add: 29.0ms (53.5% of total)

ival-mult: 11.0ms (20.3% of total)

const: 6.0ms (11.1% of total)

ival-div: 4.0ms (7.4% of total)

ival-exp: 3.0ms (5.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (/.f64 (exp.f64 a) #s(literal 2 binary64))>
#<alt (exp.f64 a)>
#<alt (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))>
#<alt (fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))>
#<alt (*.f64 b #s(literal 1/48 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))>

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 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (* 1/48 (pow b 3))>
#<alt (* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt (* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<alt (* 1/48 b)>
#<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))))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(+ (* b (+ (* b (* b 1/48)) -1/4)) 1/2)
0.0ms	b	@	inf	(+ (* b (+ (* b (* b 1/48)) -1/4)) 1/2)
0.0ms	b	@	-inf	(/ 1 (+ (* b (+ (* b (+ (* b 1/6) 1/2)) 1)) 2))
0.0ms	a	@	inf	(+ (* 1/4 a) 1/2)
0.0ms	b	@	-inf	(* b 1/48)

rewrite320.0ms (3.5%)

Memory

-0.3MiB live, 467.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 358×	`lower-fma.f32`
5 346×	`lower-fma.f64`
4 928×	`lower-*.f32`
4 926×	`lower-*.f64`
4 164×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
0	35	61
1	160	61
2	1130	61
0	8366	61

Stop Event

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

Counts

10 → 388

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp.f64 a)
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
(*.f64 b #s(literal 1/48 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))

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 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))
(pow.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 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (neg.f64 a)) #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 (pow.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 a))) #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 #s(literal 1/16 binary64) (.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)))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (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 #s(literal 1/16 binary64) (.f64 a a)) (+.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 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (/.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)))))
(neg.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/8 binary64))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 a a) #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))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/8 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 a a) #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 1/4 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 a a) (.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 #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)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #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 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 a a) (.f64 a #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 a a) #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 (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 a a) (.f64 a #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 a a) #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 -1/16 binary64) (.f64 a a))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (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 (.f64 a (.f64 a a)) #s(literal 1/64 binary64)) (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/512 binary64)))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal 1/4 binary64)) (*.f64 a #s(literal -1/8 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #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)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal 1/4 binary64)) (*.f64 a #s(literal -1/8 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 (.f64 a a) (.f64 a a)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 a a) #s(literal 1/64 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 #s(literal 1/16 binary64) (.f64 a a) #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 (+.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a a) #s(literal 1/4 binary64)) (.f64 a #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 a a) #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 (pow.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 a #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (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 #s(literal 1/16 binary64) (*.f64 a a)) (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 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (fma.f64 a #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (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))))) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (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)))))
(pow.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) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
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(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
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(neg.f64 (/.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))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (.f64 b #s(literal -1/12 binary64)))) (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/36 binary64)))))
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(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (.f64 b #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 b #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (.f64 b #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 b b) #s(literal 1/144 binary64)))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/36 binary64)) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 b b) #s(literal 1/36 binary64) (*.f64 b #s(literal -1/12 binary64))))))
(.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal -1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))

simplify349.0ms (3.8%)

Memory

-12.4MiB live, 434.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 524×	`lower-fma.f64`
14 524×	`lower-fma.f32`
4 178×	`lower-*.f64`
4 178×	`lower-*.f32`
3 232×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	782
1	432	774
2	1232	752
3	3936	738
4	7912	738
0	8371	656

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(* 1/48 (pow b 3))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 3))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(- (* 1/48 (pow b 2)) 1/4)
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 (pow b 2))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
(* 1/48 b)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 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))))

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 (* 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 (- (* 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))
(* 1/48 (pow b 3))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(* (pow b 3) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(.f64 b (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(.f64 b (+.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) b)))
(* (pow b 3) (- (+ 1/48 (/ 1/2 (pow b 3))) (* 1/4 (/ 1 (pow b 2)))))
(.f64 b (+.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) b)))
(* 1/48 (pow b 3))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) 1/48)))
(.f64 b (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(.f64 b (+.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) b)))
(* -1 (* (pow b 3) (- (* 1/4 (/ 1 (pow b 2))) (+ 1/48 (/ 1/2 (pow b 3))))))
(.f64 b (+.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 b b) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) b)))
-1/4
#s(literal -1/4 binary64)
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(- (* 1/48 (pow b 2)) 1/4)
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(* 1/48 (pow b 2))
(.f64 #s(literal 1/48 binary64) (.f64 b b))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(* 1/48 (pow b 2))
(.f64 #s(literal 1/48 binary64) (.f64 b b))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(* (pow b 2) (- 1/48 (* 1/4 (/ 1 (pow b 2)))))
(fma.f64 #s(literal 1/48 binary64) (*.f64 b b) #s(literal -1/4 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* 1/48 b)
(*.f64 b #s(literal 1/48 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 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal -18 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) 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 #s(literal -18 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b)) 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 (*.f64 b 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 #s(literal 1/6 binary64) (.f64 b (.f64 b b))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64)) (*.f64 b b)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 b (.f64 b b))) (.f64 (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1/2 binary64)) (/.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 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))

eval63.0ms (0.7%)

Memory: 22.8MiB live, 97.6MiB allocated
Compiler: Compiled 14 685 to 1 515 computations (89.7% saved)

prune70.0ms (0.8%)

Memory

-0.8MiB live, 119.1MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	492	16	508
Fresh	2	1	3
Picked	2	3	5
Done	0	2	2
Total	496	22	518

Accuracy

100.0%

Counts

518 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.1%	(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
	35.0%	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
	37.2%	(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))
	37.2%	(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	37.3%	(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
✓	37.3%	(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
	39.9%	(/.f64 (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 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) #s(literal -4 binary64)))
✓	62.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	20.9%	(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
	53.3%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	40.6%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) #s(literal 1 binary64)) #s(literal 2 binary64)))
	53.3%	(/.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)))
	38.5%	(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal -1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶	40.6%	(/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
	52.8%	(/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 #s(literal 1/6 binary64) (.f64 b b)) #s(literal 2 binary64)))
▶	35.1%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓	82.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	21.6%	(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
▶	62.4%	(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
▶	3.7%	(*.f64 a #s(literal 1/4 binary64))
	13.4%	(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
✓	37.6%	#s(literal 1/2 binary64)

Compiler

Compiled 565 to 358 computations (36.6% saved)

simplify299.0ms (3.3%)

Memory

10.3MiB live, 400.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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	128	(fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
✓	cost-diff	2368	(/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
✓	cost-diff	0	(+.f64 b #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 a #s(literal 1/4 binary64))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(*.f64 (exp.f64 a) #s(literal 1/2 binary64))

Rules

12 808×	`lower-fma.f32`
12 798×	`lower-fma.f64`
3 972×	`lower-*.f32`
3 964×	`lower-*.f64`
2 438×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	175
0	46	175
1	84	175
2	176	175
3	478	139
4	1287	133
5	3522	133
6	5047	133
0	8206	130

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

localize90.0ms (1%)

Memory

10.7MiB live, 127.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.9%	(*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	68.8%	(/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓	accuracy	99.9%	(.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
✓	accuracy	99.7%	(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 b #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/4 binary64))
✓	accuracy	100.0%	(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 a)

Samples

52.0ms

256×

valid

Compiler

Compiled 177 to 31 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 14.0ms (38.7% of total)

ival-add: 7.0ms (19.3% of total)

ival-div: 6.0ms (16.6% of total)

const: 5.0ms (13.8% of total)

ival-exp: 2.0ms (5.5% of total)

exact: 1.0ms (2.8% of total)

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

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

series12.0ms (0.1%)

Memory

-17.7MiB live, 19.0MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (*.f64 (exp.f64 a) #s(literal 1/2 binary64))>
#<alt (exp.f64 a)>
#<alt (*.f64 a #s(literal 1/4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))>
#<alt (+.f64 b #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))>
#<alt (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))))>
#<alt (*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))>
#<alt (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64))>
#<alt (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 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 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<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))))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (+ 2 (* -2/3 b)) (pow b 2))>
#<alt (/ (+ 2 (* b (- (* 2/9 b) 2/3))) (pow b 2))>
#<alt (/ (+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3))) (pow b 2))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) (pow b 3)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (* 1/6 b)))>
#<alt (* (pow b 2) (+ 1/2 (* 1/6 b)))>
#<alt (* (pow b 2) (+ 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))))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 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))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<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>
#<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>
#<alt (- (* 1/4 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 1/4 (* 1/6 b))) 1)>
#<alt (- (* (pow b 2) (+ 1/4 (* b (+ 1/6 (* 1/36 b))))) 1)>
#<alt (* 1/36 (pow b 4))>
#<alt (* (pow b 4) (+ 1/36 (* 1/6 (/ 1 b))))>
#<alt (* (pow b 4) (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b)))))>
#<alt (* (pow b 4) (- (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b)))) (/ 1 (pow b 4))))>
#<alt (* 1/36 (pow b 4))>
#<alt (* (pow b 4) (+ 1/36 (* 1/6 (/ 1 b))))>
#<alt (* (pow b 4) (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b)))))>
#<alt (* (pow b 4) (+ 1/36 (* -1 (/ (- (* -1 (/ (- 1/4 (/ 1 (pow b 2))) b)) 1/6) b))))>
#<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 1/2>
#<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 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 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))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt -1>
#<alt (- (* 1/2 b) 1)>
#<alt (- (* b (+ 1/2 (* 1/6 b))) 1)>
#<alt (- (* b (+ 1/2 (* 1/6 b))) 1)>
#<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 (/ (- (/ 1 b) 1/2) b))))>
#<alt (* (pow b 2) (+ 1/6 (* -1 (/ (- (/ 1 b) 1/2) b))))>

Calls

48 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	(/ 1 (+ (* b (/ (+ (* (+ (* b 1/6) 1/2) (* b (* b (+ (* b 1/6) 1/2)))) -1) (+ (* b (+ (* b 1/6) 1/2)) -1))) 2))
0.0ms	b	@	0	(/ 1 (* b (* b (+ (* 1/6 b) 1/2))))
0.0ms	b	@	inf	(/ (+ (* (+ (* b 1/6) 1/2) (* b (* b (+ (* b 1/6) 1/2)))) -1) (+ (* b (+ (* b 1/6) 1/2)) -1))
0.0ms	b	@	-inf	(/ (+ (* (+ (* b 1/6) 1/2) (* b (* b (+ (* b 1/6) 1/2)))) -1) (+ (* b (+ (* b 1/6) 1/2)) -1))
0.0ms	a	@	-inf	(* a 1/4)

rewrite399.0ms (4.4%)

Memory

-6.3MiB live, 516.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 130×	`lower-fma.f32`
9 120×	`lower-fma.f64`
4 580×	`lower-*.f32`
4 572×	`lower-*.f64`
3 482×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	150
0	46	150
1	184	104
2	1096	102
0	9068	99

Stop Event

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

Counts

16 → 855

Calls

Call 1

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

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

simplify586.0ms (6.4%)

Memory

-135.5MiB live, 449.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 186×	`lower-fma.f64`
7 186×	`lower-fma.f32`
3 458×	`lower-*.f64`
3 458×	`lower-*.f32`
2 428×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	1333
1	794	1314
2	2146	1299
3	6257	1290
0	8212	1170

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

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 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
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))))
(/ 2 (pow b 2))
(/ (+ 2 (* -2/3 b)) (pow b 2))
(/ (+ 2 (* b (- (* 2/9 b) 2/3))) (pow b 2))
(/ (+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3))) (pow b 2))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 54 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) (pow b 3)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (* 1/6 b)))
(* (pow b 2) (+ 1/2 (* 1/6 b)))
(* (pow b 2) (+ 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))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/2 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 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))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
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
(+ 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
(- (* 1/4 (pow b 2)) 1)
(- (* (pow b 2) (+ 1/4 (* 1/6 b))) 1)
(- (* (pow b 2) (+ 1/4 (* b (+ 1/6 (* 1/36 b))))) 1)
(* 1/36 (pow b 4))
(* (pow b 4) (+ 1/36 (* 1/6 (/ 1 b))))
(* (pow b 4) (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b)))))
(* (pow b 4) (- (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b)))) (/ 1 (pow b 4))))
(* 1/36 (pow b 4))
(* (pow b 4) (+ 1/36 (* 1/6 (/ 1 b))))
(* (pow b 4) (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b)))))
(* (pow b 4) (+ 1/36 (* -1 (/ (- (* -1 (/ (- 1/4 (/ 1 (pow b 2))) b)) 1/6) b))))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 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)))
1/2
(+ 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 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 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))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
-1
(- (* 1/2 b) 1)
(- (* b (+ 1/2 (* 1/6 b))) 1)
(- (* b (+ 1/2 (* 1/6 b))) 1)
(* 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 (/ (- (/ 1 b) 1/2) b))))
(* (pow b 2) (+ 1/6 (* -1 (/ (- (/ 1 b) 1/2) 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)
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 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) b) #s(literal -2 binary64)) b) (/.f64 #s(literal -8 binary64) (.f64 b (.f64 b 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))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (+ 2 (* -2/3 b)) (pow b 2))
(/.f64 (fma.f64 b #s(literal -2/3 binary64) #s(literal 2 binary64)) (*.f64 b b))
(/ (+ 2 (* b (- (* 2/9 b) 2/3))) (pow b 2))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 2/9 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (*.f64 b b))
(/ (+ 2 (* b (- (* b (+ 2/9 (* -2/27 b))) 2/3))) (pow b 2))
(/.f64 (fma.f64 b (fma.f64 b (fma.f64 b #s(literal -2/27 binary64) #s(literal 2/9 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (*.f64 b b))
(/ 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 (/ 54 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) b) #s(literal -18 binary64)) b)) (.f64 b (.f64 b b)))
(/ (- (+ 6 (/ 54 (pow b 2))) (+ (* 18 (/ 1 b)) (* 162 (/ 1 (pow b 3))))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) b) #s(literal -18 binary64)) b) (/.f64 #s(literal -162 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 (/ (- (* 54 (/ 1 b)) 18) b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) b) #s(literal -18 binary64)) b)) (.f64 b (.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 b)) 54) b)) 18) b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 54 binary64) (/.f64 #s(literal 162 binary64) b)) b) #s(literal -18 binary64)) b)) (.f64 b (.f64 b b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (* 1/6 b)))
(.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (* 1/6 b)))
(.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/2 (* 1/6 b)))
(.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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
#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
#s(literal -1 binary64)
(- (* 1/4 (pow b 2)) 1)
(fma.f64 #s(literal 1/4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 1/4 (* 1/6 b))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 1/4 (* b (+ 1/6 (* 1/36 b))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b (fma.f64 b #s(literal 1/36 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(* 1/36 (pow b 4))
(.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/36 binary64)))
(* (pow b 4) (+ 1/36 (* 1/6 (/ 1 b))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) b)))
(* (pow b 4) (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) b)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b)))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b))) b) #s(literal -1/6 binary64)) b)))
(* 1/36 (pow b 4))
(.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/36 binary64)))
(* (pow b 4) (+ 1/36 (* 1/6 (/ 1 b))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) b)))
(* (pow b 4) (+ 1/36 (+ (/ 1/4 (pow b 2)) (* 1/6 (/ 1 b)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) b)) (/.f64 #s(literal 1/4 binary64) (*.f64 b b))))
(* (pow b 4) (+ 1/36 (* -1 (/ (- (* -1 (/ (- 1/4 (/ 1 (pow b 2))) b)) 1/6) b))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 #s(literal 1/36 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b))) b) #s(literal -1/6 binary64)) b)))
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 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 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 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b) (+.f64 #s(literal 6 binary64) (/.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 #s(literal -18 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b)) 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 (.f64 b 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 (*.f64 b 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)))))))
(.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 2 binary64) (.f64 b (*.f64 b b)))))))
(* 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 (.f64 b 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 b) (*.f64 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)))
1/2
#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 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* b (+ 1/2 (* 1/6 b)))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 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))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(*.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 b) 1)
(fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64))
(- (* b (+ 1/2 (* 1/6 b))) 1)
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* b (+ 1/2 (* 1/6 b))) 1)
(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 (/ (- (/ 1 b) 1/2) b))))
(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 (/ (- (/ 1 b) 1/2) b))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) #s(literal -1 binary64))

eval195.0ms (2.1%)

Memory: 49.0MiB live, 303.7MiB allocated
Compiler: Compiled 38 794 to 3 798 computations (90.2% saved)

prune167.0ms (1.8%)

Memory

-10.0MiB live, 394.6MiB allocated

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	1 136	11	1 147
Fresh	5	7	12
Picked	1	4	5
Done	0	5	5
Total	1 142	27	1 169

Accuracy

100.0%

Counts

1 169 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.1%	(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
	35.0%	(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
	37.2%	(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))
	37.2%	(fma.f64 a (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	37.3%	(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
✓	37.3%	(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
	39.9%	(/.f64 (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 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) #s(literal -4 binary64)))
	21.6%	(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
	21.6%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (fma.f64 b #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) b)
✓	62.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	20.9%	(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
	17.7%	(/.f64 #s(literal 2 binary64) (*.f64 b b))
	58.3%	(/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
	21.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
	23.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (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))))
✓	35.1%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
✓	82.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	21.6%	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 b (/.f64 #s(literal 1 binary64) b))))
	21.6%	(/.f64 #s(literal 1 binary64) (.f64 b (/.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
✓	21.6%	(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))
	21.6%	(/.f64 #s(literal 1 binary64) (.f64 b (.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))))))
	20.9%	(/.f64 #s(literal 1 binary64) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))
	3.3%	(/.f64 #s(literal 1 binary64) b)
✓	62.4%	(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
✓	3.7%	(*.f64 a #s(literal 1/4 binary64))
	13.4%	(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
✓	37.6%	#s(literal 1/2 binary64)

Compiler

Compiled 735 to 340 computations (53.7% saved)

regimes51.0ms (0.6%)

Memory

-12.6MiB live, 102.1MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 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 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.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 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #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 #s(literal -1 binary64) (*.f64 b (fma.f64 b #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) b)
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 b (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (.f64 b (.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))))))
(/.f64 #s(literal 1 binary64) (.f64 b (/.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 (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 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal -1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.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)))

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

Calls

5 calls:

11.0ms	a
11.0ms	b
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
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.6%	1	`(exp.f64 a)`
99.6%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes50.0ms (0.5%)

Memory

20.3MiB live, 98.8MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 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 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.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 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #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 #s(literal -1 binary64) (*.f64 b (fma.f64 b #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) b)
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 b (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (.f64 b (.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))))))
(/.f64 #s(literal 1 binary64) (.f64 b (/.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 (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 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal -1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.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:

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

Results

Accuracy	Segments	Branch
99.6%	2	`a`
99.6%	3	`b`
82.2%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
99.6%	2	`(exp.f64 a)`
99.6%	3	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes46.0ms (0.5%)

Memory

9.3MiB live, 87.2MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 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 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.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 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #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 #s(literal -1 binary64) (*.f64 b (fma.f64 b #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) b)
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 b (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (.f64 b (.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))))))
(/.f64 #s(literal 1 binary64) (.f64 b (/.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 (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 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal -1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(/.f64 (exp.f64 a) #s(literal 2 binary64))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
62.4%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
79.5%	2	`b`
78.5%	2	`(exp.f64 b)`
76.9%	2	`a`
76.9%	2	`(exp.f64 a)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes45.0ms (0.5%)

Memory

-35.4MiB live, 84.9MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 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 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.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 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #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 #s(literal -1 binary64) (*.f64 b (fma.f64 b #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) b)
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 b (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (.f64 b (.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))))))
(/.f64 #s(literal 1 binary64) (.f64 b (/.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (/.f64 #s(literal 1 binary64) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (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 (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 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b b) b) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 b b) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 b #s(literal -1/12 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 (.f64 (.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) b))) #s(literal 1 binary64)) #s(literal 2 binary64)))

Outputs

(*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
61.4%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
62.8%	2	`(exp.f64 a)`
63.6%	2	`a`
61.4%	2	`(exp.f64 b)`
63.0%	3	`b`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes36.0ms (0.4%)

Memory

31.1MiB live, 70.3MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 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 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.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 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #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 #s(literal -1 binary64) (*.f64 b (fma.f64 b #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) b)
(/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 b (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (.f64 b (.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))))))
(/.f64 #s(literal 1 binary64) (.f64 b (/.f64 (.f64 (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) b) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 b #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (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)))

Outputs

(*.f64 #s(literal 1/48 binary64) (*.f64 b (*.f64 b b)))

(/.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)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
57.9%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
58.1%	2	`(exp.f64 b)`
58.1%	2	`b`
58.2%	2	`(exp.f64 a)`
58.6%	2	`a`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes24.0ms (0.3%)

Memory

-16.7MiB live, 34.3MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 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 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.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 (.f64 #s(literal 1/6 binary64) (.f64 b b)) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 #s(literal 1/6 binary64) (.f64 b b)) #s(literal 2 binary64)))

Calls

4 calls:

9.0ms	a
6.0ms	b
4.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
57.9%	3	`b`
56.0%	2	`(exp.f64 b)`
57.7%	2	`(exp.f64 a)`
58.1%	2	`a`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes34.0ms (0.4%)

Memory

-14.8MiB live, 24.3MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 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 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)))))

Outputs
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64)))

Calls

4 calls:

18.0ms	(exp.f64 a)
5.0ms	a
5.0ms	b
4.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
56.0%	2	`b`
55.7%	2	`(exp.f64 a)`
55.8%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
56.1%	2	`a`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes14.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 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 #s(literal 6 binary64) (.f64 b (.f64 b b)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.0%	2	`b`
56.0%	2	`(exp.f64 b)`
48.6%	2	`a`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory

-15.3MiB live, 23.9MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 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 #s(literal 2 binary64) (*.f64 b b))

Calls

4 calls:

8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	b
3.0ms	(exp.f64 b)
3.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
48.6%	2	`(exp.f64 a)`
51.7%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
51.9%	2	`b`
51.9%	2	`(exp.f64 b)`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 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)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))

Outputs
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b)))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.6%	2	`a`
48.3%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
37.6%	1	`(exp.f64 b)`
37.6%	1	`b`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes10.0ms (0.1%)

Memory

-21.4MiB live, 16.9MiB allocated

Accuracy

Total -22.7b remaining (-56.9%)

Threshold costs -22.7b (-56.9%)

Counts

9 → 1

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
37.6%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
37.6%	1	`(exp.f64 a)`
37.6%	1	`a`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9969662464623152

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch10.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.335291245795246e+51	5.450328795367433e+52

Samples

5.0ms

112×

valid

Compiler

Compiled 230 to 158 computations (31.3% saved)

Precisions

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

ival-exp: 2.0ms (66.3% of total)

ival-div: 1.0ms (33.1% of total)

ival-add: 1.0ms (33.1% of total)

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

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

bsearch27.0ms (0.3%)

Memory

-23.1MiB live, 16.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-1.8346559413035468e+40	-2.042636518142357e+30

Samples

8.0ms	160×	0	valid
1.0ms	30×	0	exit

Compiler

Compiled 353 to 231 computations (34.6% saved)

Precisions

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

ival-exp: 3.0ms (61.2% of total)

ival-div: 1.0ms (20.4% of total)

ival-add: 1.0ms (20.4% of total)

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

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

bsearch17.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.8346559413035468e+40	-2.042636518142357e+30

Samples

6.0ms	128×	0	valid
2.0ms	41×	0	exit

Compiler

Compiled 263 to 191 computations (27.4% saved)

Precisions

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

ival-exp: 2.0ms (46.7% of total)

ival-div: 1.0ms (23.4% of total)

ival-add: 1.0ms (23.4% of total)

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.8346559413035468e+40	-2.042636518142357e+30

Compiler

Compiled 243 to 181 computations (25.5% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.8346559413035468e+40	-2.042636518142357e+30

Compiler

Compiled 233 to 171 computations (26.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch33.0ms (0.4%)

Memory

-13.4MiB live, 25.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	2.0878448799324677e-20	381285864.1492702

Samples

26.0ms

176×

valid

Compiler

Compiled 145 to 121 computations (16.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-exp: 20.0ms (90.8% of total)

ival-div: 1.0ms (4.5% of total)

ival-add: 1.0ms (4.5% of total)

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

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

bsearch17.0ms (0.2%)

Memory

-6.8MiB live, 30.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-537433659058821700.0	-60310905702.131096

Samples

8.0ms	144×	0	valid
1.0ms	21×	0	exit

Compiler

Compiled 166 to 128 computations (22.9% saved)

Precisions

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

ival-exp: 3.0ms (56.1% of total)

ival-div: 1.0ms (18.7% of total)

ival-add: 1.0ms (18.7% of total)

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

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

simplify7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	187
1	70	187

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 53999999999999999633931228415527910728932255864979456 binary64)) (.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -11499999999999999085884780199280640 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -2399999999999999935133108928512 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b))) (/.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))))
(if (<=.f64 a #s(literal -2399999999999999935133108928512 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -2399999999999999935133108928512 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b))))
(if (<=.f64 b #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(if (<=.f64 a #s(literal -61000000000 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 (exp.f64 a) #s(literal 0 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 53999999999999999633931228415527910728932255864979456 binary64)) (.f64 (exp.f64 a) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -11499999999999999085884780199280640 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 (fma.f64 (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -2399999999999999935133108928512 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b))) (/.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))))
(if (<=.f64 a #s(literal -2399999999999999935133108928512 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -2399999999999999935133108928512 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 2 binary64))))
(if (<=.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b))))
(if (<=.f64 b #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(if (<=.f64 a #s(literal -61000000000 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 b b))) (fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)

soundness2.6s (28.7%)

Memory

33.0MiB live, 994.3MiB allocated

Rules

18 438×	`lower-fma.f64`
18 438×	`lower-fma.f32`
14 524×	`lower-fma.f64`
14 524×	`lower-fma.f32`
8 308×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	782
1	432	774
2	1232	752
3	3936	738
4	7912	738
0	8371	656
0	72	372
1	177	372
2	370	372
3	832	372
4	1227	372
5	1438	372
6	1566	372
7	1731	372
8	2088	372
9	2921	372
10	4202	372
11	5273	372
12	5431	372
13	5484	372
14	5498	372
15	5503	372
16	5503	372
17	5560	372
18	5560	372
19	5560	372
20	5658	372
21	5690	372
22	5690	372
23	5690	372
24	5700	372
0	5700	340
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640
0	260	1333
1	794	1314
2	2146	1299
3	6257	1290
0	8212	1170
0	19	61
0	35	61
1	160	61
2	1130	61
0	8366	61

Stop Event

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

Compiler

Compiled 722 to 433 computations (40% saved)

preprocess175.0ms (1.9%)

Memory: 35.5MiB live, 308.5MiB allocated
Compiler: Compiled 418 to 146 computations (65.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze6.0ms (0.1%)

sample948.0ms (10.4%)

preprocess95.0ms (1%)

explain78.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize227.0ms (2.5%)

series6.0ms (0.1%)

rewrite285.0ms (3.1%)

simplify488.0ms (5.3%)

eval43.0ms (0.5%)

prune51.0ms (0.6%)

simplify4.0ms (0%)

localize30.0ms (0.3%)

series4.0ms (0%)

rewrite330.0ms (3.6%)

simplify462.0ms (5%)

eval69.0ms (0.8%)

prune85.0ms (0.9%)

simplify16.0ms (0.2%)

localize100.0ms (1.1%)

series8.0ms (0.1%)

rewrite320.0ms (3.5%)

simplify349.0ms (3.8%)

eval63.0ms (0.7%)

prune70.0ms (0.8%)

simplify299.0ms (3.3%)

localize90.0ms (1%)

series12.0ms (0.1%)

rewrite399.0ms (4.4%)

simplify586.0ms (6.4%)

eval195.0ms (2.1%)

prune167.0ms (1.8%)

regimes51.0ms (0.6%)

regimes50.0ms (0.5%)

regimes46.0ms (0.5%)

regimes45.0ms (0.5%)

regimes36.0ms (0.4%)

regimes24.0ms (0.3%)

regimes34.0ms (0.4%)

regimes14.0ms (0.1%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

bsearch27.0ms (0.3%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch33.0ms (0.4%)

bsearch17.0ms (0.2%)

simplify7.0ms (0.1%)

soundness2.6s (28.7%)

preprocess175.0ms (1.9%)

end0.0ms (0%)

Profiling