Metrics for Quotient of sum of exps

analyze5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	6
95.2%	93.7%	4.7%	0.1%	0%	1.6%	0%	7
96%	93.7%	3.9%	0.1%	0%	2.3%	0%	8
97.2%	93.7%	2.7%	0.1%	0%	3.5%	0%	9
97.8%	93.7%	2.1%	0.1%	0%	4.1%	0%	10
98.5%	93.7%	1.5%	0.1%	0%	4.8%	0%	11
98.8%	93.7%	1.1%	0.1%	0%	5.1%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample979.0ms (11.9%)

Memory

2.9MiB live, 1 415.6MiB allocated

Samples

464.0ms	8 256×	0	valid
143.0ms	2 928×	0	exit

Precisions

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

ival-exp: 168.0ms (53.2% of total)

ival-div: 76.0ms (24.1% of total)

ival-add: 58.0ms (18.4% of total)

ival-true: 9.0ms (2.8% of total)

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

Bogosity

preprocess85.0ms (1%)

Memory

-2.0MiB live, 40.8MiB allocated

Algorithm

2×	egg-herbie

Rules

434×	`div-sub`
420×	`times-frac`
300×	`distribute-lft-in`
256×	`distribute-rgt-in`
212×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	42	56
2	77	56
3	146	56
4	262	51
5	471	51
6	653	51
7	918	51
8	1308	51
9	1563	51
10	1796	50
11	2027	50
12	2242	50
13	2509	50
14	2544	50
15	2552	50
16	2554	50
0	6	8
1	7	8
0	7	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ (exp b) (+ (exp b) (exp a)))

Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ 1 (+ 1 (exp (+ a b))))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(/ 1 (- -1 (exp (+ a b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ 1 (- -1 (exp (- (neg a) b))))
(/ (exp b) (+ (exp b) (exp a)))
(/ (exp b) (+ (exp a) (exp b)))

explain80.0ms (1%)

Memory

8.3MiB live, 160.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	-	`(+.f64 (exp.f64 a) (exp.f64 b))`
0	-	-	`a`
0	-	-	`(exp.f64 b)`
0	-	-	`b`
0	-	-	`(exp.f64 a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	o/o	2	0
↳	`(exp.f64 a)`	overflow	2
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	overflow	63
↳	`(exp.f64 a)`	overflow	2
↳	`(exp.f64 b)`	overflow	61
`/.f64`	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`	u/u	1	0
↳	`(exp.f64 a)`	underflow	74
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	1
↳	`(exp.f64 a)`	underflow	74
↳	`(exp.f64 b)`	underflow	50

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions

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

ival-exp: 9.0ms (59.2% of total)

ival-div: 3.0ms (19.7% of total)

ival-add: 2.0ms (13.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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×	`exp-lowering-exp.f32`
4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
4×	`exp-lowering-exp.f64`
2×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	7	19
0	7	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

11.1MiB live, 48.8MiB 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	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Samples

13.0ms

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 (59.2% of total)

ival-div: 2.0ms (29.6% of total)

ival-add: 1.0ms (14.8% of total)

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

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

series12.0ms (0.1%)

Memory

-15.0MiB live, 17.5MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (exp 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
7.0ms	b	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	-inf	(/ (exp a) (+ (exp a) (exp b)))

rewrite377.0ms (4.6%)

Memory

5.8MiB live, 572.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 200×	`/-lowering-/.f32`
5 200×	`/-lowering-/.f64`
4 032×	`accelerator-lowering-fma.f32`
4 032×	`accelerator-lowering-fma.f64`
3 280×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	28	17
2	199	17
3	1928	17
0	8631	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 314

Calls

Call 1

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

simplify531.0ms (6.5%)

Memory

-17.9MiB live, 786.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 438×	`accelerator-lowering-fma.f32`
18 438×	`accelerator-lowering-fma.f64`
4 430×	`-lowering-.f32`
4 430×	`-lowering-.f64`
2 966×	`+-lowering-+.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))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.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))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 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))) (+.f64 (*.f64 #s(literal -3/2 binary64) a) #s(literal -1 binary64)))))))
(+ (* 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))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/6 binary64)))) (.f64 a (+.f64 (.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 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 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))) (+.f64 (.f64 #s(literal -3/2 binary64) a) #s(literal -1 binary64)))))))
(/ (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))))
(+.f64 (.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) #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)))))
(+ (* 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))))
(+.f64 (.f64 (-.f64 (.f64 b (+.f64 (.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 #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 2 binary64))) (+.f64 (.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))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 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)))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 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 (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) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 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))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

eval41.0ms (0.5%)

Memory: 40.1MiB live, 77.1MiB allocated
Compiler: Compiled 11 385 to 1 194 computations (89.5% saved)

prune50.0ms (0.6%)

Memory

-39.1MiB live, 92.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accuracy

99.7%

Counts

414 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	80.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	67.9%	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Status

Accuracy

Program

▶

70.4%

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

▶

80.3%

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

▶

67.9%

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify124.0ms (1.5%)

Memory

0.4MiB live, 114.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

1 700×	`accelerator-lowering-fma.f32`
1 700×	`accelerator-lowering-fma.f64`
808×	`-lowering-.f32`
808×	`-lowering-.f64`
666×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	80
1	25	80
2	38	80
3	65	80
4	111	80
5	215	80
6	546	80
7	981	80
8	1459	80
9	2054	80
10	2571	80
11	2700	80
12	2740	80
13	2758	80
14	2758	80
0	2758	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
(+ (/ b (- -1 (exp a))) 1)
(/ b (- -1 (exp a)))
b
(- -1 (exp a))
-1
(exp a)
a
1
(/ (exp a) (+ 1 (exp a)))
(+ 1 (exp a))
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1

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

localize55.0ms (0.7%)

Memory

0.1MiB live, 119.0MiB allocated

Localize:

Found 10 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	99.2%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	99.2%	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))

Samples

31.0ms

256×

valid

Compiler

Compiled 82 to 18 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 6.0ms (30.3% of total)

ival-add: 5.0ms (25.2% of total)

ival-exp: 4.0ms (20.2% of total)

ival-sub: 3.0ms (15.1% of total)

ival-mult: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

12 → 180

Calls

Call 1

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

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

45 calls:

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

rewrite376.0ms (4.6%)

Memory

14.3MiB live, 590.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 722×	`accelerator-lowering-fma.f32`
4 722×	`accelerator-lowering-fma.f64`
4 358×	`-lowering-.f32`
4 358×	`-lowering-.f64`
3 840×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	101	70
2	854	70
0	8714	70

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 881

Calls

Call 1

Inputs
(* (+ (/ b (- -1 (exp a))) 1) (/ (exp a) (+ 1 (exp a))))
(+ (/ b (- -1 (exp a))) 1)
(/ b (- -1 (exp a)))
(- -1 (exp a))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(exp a)
(+ (exp a) 1)
(/ (exp a) (+ 1 (exp a)))
(+ 1 (exp a))

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

simplify573.0ms (7%)

Memory

8.5MiB live, 839.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20 646×	`accelerator-lowering-fma.f32`
20 646×	`accelerator-lowering-fma.f64`
4 118×	`+-lowering-+.f64`
4 118×	`+-lowering-+.f32`
4 082×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1648
1	575	1530
2	1847	1353
3	7152	1302
0	8121	1228

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* 1/2 (+ 1 (* -1/2 b)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
1
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(+ 1 (* -1/2 b))
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* a b)))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
(* -1 (/ b (+ 1 (exp a))))
-2
(- (* -1 a) 2)
(- (* a (- (* -1/2 a) 1)) 2)
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 2)
(* -1 (+ 1 (exp a)))
(* -1 (+ 1 (exp a)))
(* -1 (+ 1 (exp a)))
(* -1 (+ 1 (exp a)))
(* -1 (+ 1 (exp a)))
(* -1 (+ 1 (exp a)))
(* -1 (+ 1 (exp a)))
(* -1 (+ 1 (exp a)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
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
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))) (/ (exp a) (* b (+ 1 (exp a))))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* -1 (* b (+ (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(* 1/2 (+ 1 (* -1/2 b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/4 binary64))) (.f64 a #s(literal 1/4 binary64)))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/4 binary64))) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))))))
(+ (* 1/2 (+ 1 (* -1/2 b))) (* a (- (+ (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* a (- (+ (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (* a (- (* 1/2 (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/8 b) (+ (* -1/16 b) (+ (* 1/24 b) (+ (* 1/6 (+ 1 (* -1/2 b))) (* 1/4 b))))))) (+ (* 1/24 (+ 1 (* -1/2 b))) (+ (* 1/4 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))) (* 1/2 (- (* 1/2 (+ (* -1/8 b) (+ (* 1/8 b) (+ (* 1/4 b) (* 1/2 (+ 1 (* -1/2 b))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))))))) (+ (* 1/8 (+ 1 (* -1/2 b))) (* 1/2 (- (* 1/2 (+ 1 (+ (* -1/2 b) (* 1/4 b)))) (* 1/4 (+ 1 (* -1/2 b))))))))) (* 1/4 (+ 1 (* -1/2 b))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/4 binary64))) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (+.f64 (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 b #s(literal 1/6 binary64))) (.f64 b #s(literal -7/48 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b #s(literal -1/16 binary64)))) (+.f64 (*.f64 b #s(literal -1/48 binary64)) #s(literal 5/48 binary64))))))))))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (* (exp a) (+ 1 (* -1 (/ b (+ 1 (exp a)))))) (+ 1 (exp a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* b (- (/ 1 b) (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 b))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))
(+ 1 (+ (* -1/2 b) (* 1/4 (* a b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b)))))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+ 1 (+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 a b) #s(literal -1/48 binary64))) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 a #s(literal 1/4 binary64))))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(+ 1 (* -1 (/ b (+ 1 (exp a)))))
(+.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* 1/4 (* a b)))
(.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (* 1/8 b))))))
(.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(+ (* -1/2 b) (* a (+ (* 1/4 b) (* a (+ (* -1/8 b) (+ (* 1/8 b) (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))))))))
(+.f64 (.f64 (.f64 a a) (.f64 (.f64 a b) #s(literal -1/48 binary64))) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
(* -1 (/ b (+ 1 (exp a))))
(/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))
-2
#s(literal -2 binary64)
(- (* -1 a) 2)
(-.f64 #s(literal -2 binary64) a)
(- (* a (- (* -1/2 a) 1)) 2)
(+.f64 (.f64 a (+.f64 #s(literal -1 binary64) (.f64 a #s(literal -1/2 binary64)))) #s(literal -2 binary64))
(- (* a (- (* a (- (* -1/6 a) 1/2)) 1)) 2)
(+.f64 (.f64 a (+.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal -1/2 binary64) (*.f64 a #s(literal -1/6 binary64)))))) #s(literal -2 binary64))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
(* -1 (+ 1 (exp a)))
(-.f64 #s(literal -1 binary64) (exp.f64 a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 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))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 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))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(+ 1 (exp a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))

eval136.0ms (1.7%)

Memory: -3.1MiB live, 247.2MiB allocated
Compiler: Compiled 26 000 to 2 394 computations (90.8% saved)

prune129.0ms (1.6%)

Memory

5.0MiB live, 281.0MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1 125	12	1 137
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	1 126	14	1 140

Accuracy

99.7%

Counts

1 140 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.8%	(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	70.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	68.7%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	38.5%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
	54.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
▶	51.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	80.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	38.0%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
	37.4%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
▶	38.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
	41.6%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
▶	41.4%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
	41.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
▶	40.9%	#s(literal 1/2 binary64)

Compiler

Compiled 285 to 220 computations (22.8% saved)

simplify10.0ms (0.1%)

Memory

-24.8MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	cost-diff	0	(.f64 #s(literal -1/48 binary64) (.f64 a a))
✓	cost-diff	0	(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
✓	cost-diff	0	(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
✓	cost-diff	0	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
✓	cost-diff	12800	(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Rules

132×	`accelerator-lowering-fma.f32`
132×	`accelerator-lowering-fma.f64`
90×	`-lowering-.f32`
90×	`-lowering-.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	114
1	53	112
2	95	112
3	135	112
4	136	112
0	136	101

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(pow (pow (+ 1 (exp b)) -1/2) 2)
(pow (+ 1 (exp b)) -1/2)
(+ 1 (exp b))
1
(exp b)
b
-1/2
2
1/2
(+ 1/2 (* b -1/4))
1/2
(* b -1/4)
b
-1/4
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
1/2
(* a (+ 1/4 (* -1/48 (* a a))))
a
(+ 1/4 (* -1/48 (* a a)))
1/4
(* -1/48 (* a a))
-1/48
(* a a)
(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
1
(+ 2 (* b (+ 1 (* b 1/2))))
2
(* b (+ 1 (* b 1/2)))
b
(+ 1 (* b 1/2))
(* b 1/2)
1/2

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

localize81.0ms (1%)

Memory

13.6MiB live, 169.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
✓	accuracy	99.7%	(.f64 #s(literal -1/48 binary64) (.f64 a a))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	99.1%	(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))

Samples

50.0ms

256×

valid

Compiler

Compiled 116 to 27 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 9.0ms (26.4% of total)

ival-add: 8.0ms (23.4% of total)

ival-pow: 6.0ms (17.6% of total)

const: 4.0ms (11.7% of total)

ival-pow2: 3.0ms (8.8% of total)

ival-div: 2.0ms (5.9% of total)

ival-exp: 2.0ms (5.9% of total)

exact: 1.0ms (2.9% of total)

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

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

series15.0ms (0.2%)

Memory

-7.9MiB live, 30.5MiB allocated

Counts

16 → 192

Calls

Call 1

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

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 (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 1 (+ 1 (exp b))))>
#<alt (sqrt (/ 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 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* -1/4 b)>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
2.0ms	b	@	inf	(* b 1/2)
1.0ms	b	@	0	(pow (+ 1 (exp b)) -1/2)
1.0ms	b	@	inf	(pow (+ 1 (exp b)) -1/2)
1.0ms	b	@	-inf	(pow (+ 1 (exp b)) -1/2)

rewrite615.0ms (7.5%)

Memory

-134.7MiB live, 599.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 614×	`-lowering-.f32`
4 614×	`-lowering-.f64`
4 158×	`accelerator-lowering-fma.f32`
4 158×	`accelerator-lowering-fma.f64`
3 748×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	96
1	150	96
2	1143	96
0	8351	85

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 478

Calls

Call 1

Inputs
(pow (pow (+ 1 (exp b)) -1/2) 2)
(pow (+ 1 (exp b)) -1/2)
(+ 1 (exp b))
(exp b)
(+ 1/2 (* b -1/4))
(* b -1/4)
(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
(* a (+ 1/4 (* -1/48 (* a a))))
(+ 1/4 (* -1/48 (* a a)))
(* -1/48 (* a a))
(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
(+ 2 (* b (+ 1 (* b 1/2))))
(* b (+ 1 (* b 1/2)))
(+ 1 (* b 1/2))
(* a a)
(* b 1/2)

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

simplify496.0ms (6.1%)

Memory

16.5MiB live, 758.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 314×	`accelerator-lowering-fma.f32`
15 314×	`accelerator-lowering-fma.f64`
5 374×	`-lowering-.f32`
5 374×	`-lowering-.f64`
3 088×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1198
1	428	1169
2	1103	1169
3	4177	1138
0	8707	1041

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt (/ 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 b))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* -1/4 b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* 1/4 a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 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)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* -1/8 (/ b (sqrt 1/2))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 b #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt 1/2) (* b (- (* -1/128 (/ b (pow (sqrt 1/2) 3))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal -1/8 binary64) (.f64 b #s(literal -1/64 binary64)))))
(+ (sqrt 1/2) (* b (- (* b (- (* 1/2 (/ (* b (- 1/48 (* 1/512 (/ 1 (pow (sqrt 1/2) 4))))) (sqrt 1/2))) (* 1/128 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/8 (/ 1 (sqrt 1/2))))))
(+.f64 (.f64 (/.f64 (.f64 b (.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) b))) (sqrt.f64 #s(literal 1/2 binary64))) b) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 b (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal -1/8 binary64) (.f64 b #s(literal -1/64 binary64))))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(sqrt (/ 1 (+ 1 (exp b))))
(sqrt.f64 (/.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))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 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))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 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 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(.f64 a (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 a a)))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(.f64 a (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 a a)))))
(* 1/4 a)
(*.f64 #s(literal 1/4 binary64) a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/16 binary64)))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/16 binary64) (.f64 b #s(literal -1/32 binary64)))))))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (.f64 b b))) b)) (.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (.f64 b b))) b)) (/.f64 #s(literal -32 binary64) (.f64 b (.f64 b (.f64 b b))))) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (.f64 b b))) b)) (.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 b b)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -32 binary64) (.f64 b (.f64 b b))))) b)) (.f64 b b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)

eval81.0ms (1%)

Memory: 16.0MiB live, 180.6MiB allocated
Compiler: Compiled 16 162 to 1 873 computations (88.4% saved)

prune90.0ms (1.1%)

Memory

12.1MiB live, 131.9MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	656	14	670
Fresh	2	5	7
Picked	2	3	5
Done	0	2	2
Total	660	24	684

Accuracy

99.7%

Counts

684 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
	15.6%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
	37.6%	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
✓	70.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	68.7%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	16.3%	(/.f64 #s(literal 2 binary64) (*.f64 b b))
	37.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))
	44.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b (*.f64 b #s(literal 1/2 binary64))) b))))
▶	51.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
	37.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))))
	54.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
	50.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (.f64 #s(literal 1/2 binary64) b))))
✓	80.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	16.0%	(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
▶	38.0%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
	37.4%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
✓	38.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
	41.6%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
✓	41.4%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
	41.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
	17.2%	(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
	11.0%	(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
▶	4.1%	(*.f64 #s(literal -1/4 binary64) b)
✓	40.9%	#s(literal 1/2 binary64)

Compiler

Compiled 878 to 461 computations (47.5% saved)

simplify49.0ms (0.6%)

Memory

-12.3MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal -1/480 binary64))))
✓	cost-diff	0	(+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal -1/480 binary64)))))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
✓	cost-diff	128	(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(/.f64 (exp.f64 a) #s(literal 2 binary64))

Rules

656×	`accelerator-lowering-fma.f32`
656×	`accelerator-lowering-fma.f64`
288×	`-lowering-.f32`
288×	`-lowering-.f64`
160×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	166
1	68	162
2	147	162
3	377	162
4	482	162
5	502	162
6	502	162
0	502	143

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (exp a) 2)
(exp a)
a
2
(* -1/4 b)
-1/4
b
(/ 1 (* b (+ 1 (* 1/2 b))))
1
(* b (+ 1 (* 1/2 b)))
b
(+ 1 (* 1/2 b))
(* 1/2 b)
1/2
(/ 1 (+ 2 (/ b (/ 1 (+ 1 (* b 1/2))))))
1
(+ 2 (/ b (/ 1 (+ 1 (* b 1/2)))))
2
(/ b (/ 1 (+ 1 (* b 1/2))))
b
(/ 1 (+ 1 (* b 1/2)))
(+ 1 (* b 1/2))
(* b 1/2)
1/2
(+ 1/2 (* b (+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480))))))
1/2
(* b (+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480)))))
b
(+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480))))
-1/4
(* (* b b) (+ 1/48 (* (* b b) -1/480)))
(* b b)
(+ 1/48 (* (* b b) -1/480))
1/48
(* (* b b) -1/480)
-1/480

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

localize90.0ms (1.1%)

Memory

13.3MiB live, 130.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal -1/480 binary64)))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64))))))
✓	accuracy	99.9%	(.f64 (.f64 b b) #s(literal -1/480 binary64))
✓	accuracy	99.8%	(.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal -1/480 binary64))))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) b)
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/4 binary64) b)
✓	accuracy	100.0%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓	accuracy	100.0%	(exp.f64 a)

Samples

56.0ms

256×

valid

Compiler

Compiled 170 to 30 computations (82.4% saved)

Precisions

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

ival-mult: 11.0ms (29.6% of total)

ival-div: 10.0ms (26.9% of total)

ival-add: 7.0ms (18.9% of total)

const: 6.0ms (16.2% of total)

ival-exp: 2.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-23.8MiB live, 11.4MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (/ (exp a) 2)>
#<alt (exp a)>
#<alt (* -1/4 b)>
#<alt (/ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (/ b (/ 1 (+ 1 (* b 1/2))))>
#<alt (/ 1 (+ 2 (/ b (/ 1 (+ 1 (* b 1/2))))))>
#<alt (+ 2 (/ b (/ 1 (+ 1 (* b 1/2)))))>
#<alt (/ 1 (+ 1 (* b 1/2)))>
#<alt (+ 1/2 (* b (+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480))))))>
#<alt (* b (+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480)))))>
#<alt (+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480))))>
#<alt (* (* b b) (+ 1/48 (* (* b b) -1/480)))>
#<alt (* b 1/2)>
#<alt (* (* b b) -1/480)>
#<alt (+ 1/48 (* (* b b) -1/480))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1/2 b)) b)>
#<alt (/ (+ 1 (* b (- (* 1/4 b) 1/2))) b)>
#<alt (/ (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2))) b)>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 b))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 b))) b))) b))) (pow b 2))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 b))>
#<alt (+ 1 (* b (- (* 1/4 b) 1/2)))>
#<alt (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2)))>
#<alt (/ 2 b)>
#<alt (/ (- 2 (* 4 (/ 1 b))) b)>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) b)>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) b)>
#<alt (/ 2 b)>
#<alt (* -1 (/ (- (* 4 (/ 1 b)) 2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 b)) 8) b)) 4) b)) 2) 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 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/48 (pow b 2)) 1/4))>
#<alt (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))>
#<alt (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))>
#<alt (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* 1/48 (pow b 2))>
#<alt (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt (* -1/480 (pow b 2))>
#<alt 1/48>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (* -1/480 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(+ 1/2 (* b (+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480))))))
0.0ms	b	@	inf	(+ 1/2 (* b (+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480))))))
0.0ms	b	@	inf	(* (* b b) (+ 1/48 (* (* b b) -1/480)))
0.0ms	b	@	inf	(* (* b b) -1/480)
0.0ms	a	@	inf	(/ (exp a) 2)

rewrite407.0ms (5%)

Memory

2.4MiB live, 641.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 358×	`accelerator-lowering-fma.f32`
5 358×	`accelerator-lowering-fma.f64`
4 060×	`-lowering-.f32`
4 060×	`-lowering-.f64`
3 524×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	142
1	187	138
2	1306	138
0	8276	120

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 725

Calls

Call 1

Inputs
(/ (exp a) 2)
(exp a)
(* -1/4 b)
(/ 1 (* b (+ 1 (* 1/2 b))))
(* b (+ 1 (* 1/2 b)))
(+ 1 (* 1/2 b))
(* 1/2 b)
(/ b (/ 1 (+ 1 (* b 1/2))))
(/ 1 (+ 2 (/ b (/ 1 (+ 1 (* b 1/2))))))
(+ 2 (/ b (/ 1 (+ 1 (* b 1/2)))))
(/ 1 (+ 1 (* b 1/2)))
(+ 1/2 (* b (+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480))))))
(* b (+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480)))))
(+ -1/4 (* (* b b) (+ 1/48 (* (* b b) -1/480))))
(* (* b b) (+ 1/48 (* (* b b) -1/480)))
(* b 1/2)
(* (* b b) -1/480)
(+ 1/48 (* (* b b) -1/480))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 a)))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal 1/480 binary64)))) (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal 1/480 binary64))))) (.f64 (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/230400 binary64))) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal 1/480 binary64)))) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/230400 binary64))) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal 1/480 binary64)))))) (+.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal 1/480 binary64)))) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/230400 binary64))) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal 1/480 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal -1/480 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(.f64 (+.f64 #s(literal 1/110592 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/110592000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/480 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))))
(.f64 (+.f64 #s(literal 1/110592 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/110592000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/230400 binary64))) (+.f64 #s(literal 1/2304 binary64) (.f64 #s(literal 1/23040 binary64) (*.f64 b b))))))
(.f64 (+.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal -1/230400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal 1/480 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/110592 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/110592000 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 b b) #s(literal -1/480 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal -1/480 binary64)) #s(literal -1/48 binary64)))))))
(.f64 (+.f64 #s(literal -1/2304 binary64) (neg.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal -1/230400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/48 binary64) (neg.f64 (.f64 (*.f64 b b) #s(literal 1/480 binary64))))))
(.f64 (+.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/230400 binary64))) #s(literal -1/2304 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal -1/48 binary64))))

simplify498.0ms (6.1%)

Memory

57.0MiB live, 743.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 818×	`accelerator-lowering-fma.f32`
14 818×	`accelerator-lowering-fma.f64`
4 200×	`-lowering-.f32`
4 200×	`-lowering-.f64`
3 176×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1567
1	559	1550
2	1340	1526
3	4605	1526
0	8360	1428

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(/ 1 b)
(/ (+ 1 (* -1/2 b)) b)
(/ (+ 1 (* b (- (* 1/4 b) 1/2))) b)
(/ (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2))) b)
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 b))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 b))) b))) b))) (pow b 2))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
1
(+ 1 (* -1/2 b))
(+ 1 (* b (- (* 1/4 b) 1/2)))
(+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2)))
(/ 2 b)
(/ (- 2 (* 4 (/ 1 b))) b)
(/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) b)
(/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) b)
(/ 2 b)
(* -1 (/ (- (* 4 (/ 1 b)) 2) b))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 b)) 8) b)) 4) b)) 2) 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 (* -1/480 (pow b 2)))) 1/4)))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
(* -1/4 b)
(* b (- (* 1/48 (pow b 2)) 1/4))
(* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))
(* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* 1/48 (pow b 2))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(* (pow b 2) (+ 1/48 (* -1/480 (pow b 2))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
(* -1/480 (pow b 2))
1/48
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 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))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1/2 b)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) b)
(/ (+ 1 (* b (- (* 1/4 b) 1/2))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))) b)
(/ (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64))))))) b)
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) b) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) b)) b) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 b))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) b) #s(literal -4 binary64)) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 b))) b))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) b)) b) #s(literal -4 binary64)) b)) (*.f64 b b))
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
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(.f64 (.f64 b b) #s(literal -1/480 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal -1/480 binary64)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal -1/480 binary64)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(+.f64 #s(literal 1/48 binary64) (.f64 (.f64 b b) #s(literal -1/480 binary64)))

eval141.0ms (1.7%)

Memory: 0.7MiB live, 271.8MiB allocated
Compiler: Compiled 24 172 to 2 497 computations (89.7% saved)

prune141.0ms (1.7%)

Memory

37.9MiB live, 342.4MiB allocated

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	930	11	941
Fresh	4	10	14
Picked	1	4	5
Done	0	5	5
Total	935	30	965

Accuracy

99.7%

Counts

965 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
	15.6%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
	40.6%	(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
✓	70.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	68.7%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	16.3%	(/.f64 #s(literal 2 binary64) (*.f64 b b))
	9.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b b)) b)))
	1.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))))) (+.f64 (.f64 b b) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b)))))))
	37.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))
	50.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
	50.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
	41.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))))))
	37.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))))
	54.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
✓	80.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	16.0%	(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
	3.4%	(/.f64 #s(literal 1 binary64) b)
	4.1%	(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
✓	38.0%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
	37.4%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
✓	38.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
	40.4%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
	40.4%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
	41.6%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
✓	41.4%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
	41.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
	17.2%	(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
	11.0%	(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
✓	4.1%	(*.f64 #s(literal -1/4 binary64) b)
✓	40.9%	#s(literal 1/2 binary64)

Compiler

Compiled 1 138 to 493 computations (56.7% saved)

regimes77.0ms (0.9%)

Memory

-14.7MiB live, 158.6MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b (*.f64 b #s(literal 1/2 binary64))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))))) (+.f64 (.f64 b b) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))

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

Calls

5 calls:

32.0ms	a
12.0ms	b
10.0ms	(exp.f64 a)
9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`b`
98.8%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.8%	1	`(exp.f64 a)`
98.8%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes45.0ms (0.6%)

Memory

-3.8MiB live, 112.5MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b (*.f64 b #s(literal 1/2 binary64))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))))) (+.f64 (.f64 b b) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))

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

Calls

4 calls:

12.0ms	a
11.0ms	b
9.0ms	(exp.f64 a)
9.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.4%	2	`a`
98.9%	3	`b`
99.4%	2	`(exp.f64 a)`
98.8%	3	`(exp.f64 b)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes26.0ms (0.3%)

Memory

-25.2MiB live, 53.9MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b (*.f64 b #s(literal 1/2 binary64))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))))) (+.f64 (.f64 b b) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))

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

Calls

2 calls:

10.0ms	a
10.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.1%	2	`a`
98.1%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes33.0ms (0.4%)

Memory

35.9MiB live, 74.1MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b (*.f64 b #s(literal 1/2 binary64))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))))) (+.f64 (.f64 b b) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.2%	2	`b`
75.7%	2	`a`
75.6%	2	`(exp.f64 a)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes28.0ms (0.3%)

Memory

-27.8MiB live, 50.1MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b b)) b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b (*.f64 b #s(literal 1/2 binary64))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))))) (+.f64 (.f64 b b) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b (.f64 #s(literal 1/2 binary64) (.f64 b b)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))))))

Outputs

(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))

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

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

Calls

2 calls:

14.0ms	a
11.0ms	b

Results

Accuracy	Segments	Branch
54.8%	1	`a`
61.1%	3	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b b)) b)))

Outputs

(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
61.1%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-14.2MiB live, 24.2MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 b b) #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b)))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))

Outputs

(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
60.3%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory

-2.5MiB live, 28.9MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
60.1%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

36.6MiB live, 36.6MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
58.2%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-10.6MiB live, 21.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
47.6%	2	`a`
54.3%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-20.2MiB live, 28.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
3.0ms	b

Results

Accuracy	Segments	Branch
41.5%	1	`a`
41.5%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -24.8b remaining (-65.7%)

Threshold costs -24.8b (-65.7%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
40.9%	1	`a`
40.9%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999934314354	1.0

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999651811855	0.9999999934314354

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch11.0ms (0.1%)

Memory

-14.7MiB live, 22.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.435007658275717e+91	2.2048246250332294e+92

Samples

7.0ms

96×

valid

Compiler

Compiled 163 to 131 computations (19.6% saved)

Precisions

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

ival-exp: 4.0ms (85.1% of total)

ival-div: 1.0ms (21.3% of total)

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

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

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

bsearch24.0ms (0.3%)

Memory

13.5MiB live, 52.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.29890919099964e+152	2.7087605822810705e+160
8.0ms	1.7225137076692326e-123	1.679831439862637e-122

Samples

11.0ms

240×

valid

Compiler

Compiled 625 to 404 computations (35.4% saved)

Precisions

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

ival-exp: 3.0ms (49.3% of total)

ival-div: 1.0ms (16.4% of total)

ival-add: 1.0ms (16.4% of total)

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

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

bsearch56.0ms (0.7%)

Memory

-51.3MiB live, 64.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.29890919099964e+152	2.7087605822810705e+160
16.0ms	6.406879749847933e-23	2.4001632538640913e-10

Samples

14.0ms

304×

valid

Compiler

Compiled 779 to 471 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (51.2% of total)

ival-div: 2.0ms (25.6% of total)

ival-add: 1.0ms (12.8% of total)

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

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

bsearch31.0ms (0.4%)

Memory

29.0MiB live, 67.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.1747027135155112e+99	3.038586485168966e+112
13.0ms	6.406879749847933e-23	2.4001632538640913e-10

Samples

15.0ms

320×

valid

Compiler

Compiled 593 to 431 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 5.0ms (59.6% of total)

ival-div: 2.0ms (23.8% of total)

ival-add: 1.0ms (11.9% of total)

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

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

bsearch31.0ms (0.4%)

Memory

-17.2MiB live, 60.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.1747027135155112e+99	3.038586485168966e+112
14.0ms	0.01257137129459456	704.0991923403491

Samples

14.0ms

288×

valid

Compiler

Compiled 437 to 333 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (52.2% of total)

ival-div: 2.0ms (26.1% of total)

ival-add: 1.0ms (13.1% of total)

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

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

bsearch27.0ms (0.3%)

Memory

12.6MiB live, 56.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.29890919099964e+152	2.7087605822810705e+160
10.0ms	0.01257137129459456	704.0991923403491

Samples

16.0ms

272×

valid

Compiler

Compiled 319 to 240 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 8.0ms (72.9% of total)

ival-div: 2.0ms (18.2% of total)

ival-add: 1.0ms (9.1% of total)

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

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

bsearch17.0ms (0.2%)

Memory

-4.0MiB live, 34.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.406879749847933e-23	2.4001632538640913e-10

Samples

11.0ms

160×

valid

Compiler

Compiled 173 to 141 computations (18.5% saved)

Precisions

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

ival-exp: 3.0ms (67.9% of total)

ival-div: 1.0ms (22.6% of total)

ival-add: 1.0ms (22.6% of total)

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

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

simplify15.0ms (0.2%)

Memory

-5.7MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
32×	`+-commutative_binary64`
12×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	299
1	122	299
2	131	299
3	135	299
4	137	299

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 4503599597788311/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 9007199074597007/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 219999999999999992174191948818791622588216780186240470603692533807861092917092243220121780224 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 b #s(literal 6140333542849287/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b (.f64 b #s(literal 1/2 binary64))) b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 290142196707511/1208925819614629174706176 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) b))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 290142196707511/1208925819614629174706176 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 400 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 350 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 290142196707511/1208925819614629174706176 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
#s(literal 1/2 binary64)

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) #s(literal 4503599597788311/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 4503599597788311/4503599627370496 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 9007199074597007/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 9007199074597007/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal 219999999999999992174191948818791622588216780186240470603692533807861092917092243220121780224 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))
(if (<=.f64 b #s(literal 6140333542849287/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 b b)) (.f64 b b)) (-.f64 (.f64 b (.f64 b #s(literal 1/2 binary64))) b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 6140333542849287/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (.f64 b b)) (-.f64 (.f64 b (.f64 b #s(literal 1/2 binary64))) b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 290142196707511/1208925819614629174706176 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) b))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 290142196707511/1208925819614629174706176 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (.f64 b b)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) b))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 290142196707511/1208925819614629174706176 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 400 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 350 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 290142196707511/1208925819614629174706176 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
#s(literal 1/2 binary64)

soundness1.3s (15.6%)

Memory

6.0MiB live, 963.3MiB allocated

Rules

20 646×	`accelerator-lowering-fma.f32`
20 646×	`accelerator-lowering-fma.f64`
18 438×	`accelerator-lowering-fma.f32`
18 438×	`accelerator-lowering-fma.f64`
15 314×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1198
1	428	1169
2	1103	1169
3	4177	1138
0	8707	1041
0	28	142
1	187	138
2	1306	138
0	8276	120
0	25	96
1	150	96
2	1143	96
0	8351	85
0	190	1648
1	575	1530
2	1847	1353
3	7152	1302
0	8121	1228
0	120	740
1	332	725
2	963	708
3	3702	677
0	8342	640

Stop Event

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

Compiler

Compiled 824 to 463 computations (43.8% saved)

preprocess103.0ms (1.3%)

Memory: 3.4MiB live, 165.1MiB allocated
Compiler: Compiled 642 to 190 computations (70.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

sample979.0ms (11.9%)

preprocess85.0ms (1%)

explain80.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize21.0ms (0.3%)

series12.0ms (0.1%)

rewrite377.0ms (4.6%)

simplify531.0ms (6.5%)

eval41.0ms (0.5%)

prune50.0ms (0.6%)

simplify124.0ms (1.5%)

localize55.0ms (0.7%)

series16.0ms (0.2%)

rewrite376.0ms (4.6%)

simplify573.0ms (7%)

eval136.0ms (1.7%)

prune129.0ms (1.6%)

simplify10.0ms (0.1%)

localize81.0ms (1%)

series15.0ms (0.2%)

rewrite615.0ms (7.5%)

simplify496.0ms (6.1%)

eval81.0ms (1%)

prune90.0ms (1.1%)

simplify49.0ms (0.6%)

localize90.0ms (1.1%)

series11.0ms (0.1%)

rewrite407.0ms (5%)

simplify498.0ms (6.1%)

eval141.0ms (1.7%)

prune141.0ms (1.7%)

regimes77.0ms (0.9%)

regimes45.0ms (0.6%)

regimes26.0ms (0.3%)

regimes33.0ms (0.4%)

regimes28.0ms (0.3%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

bsearch24.0ms (0.3%)

bsearch56.0ms (0.7%)

bsearch31.0ms (0.4%)

bsearch31.0ms (0.4%)

bsearch27.0ms (0.3%)

bsearch17.0ms (0.2%)

simplify15.0ms (0.2%)

soundness1.3s (15.6%)

preprocess103.0ms (1.3%)

end0.0ms (0%)

Profiling