Metrics for exp neg sub

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample684.0ms (6.3%)

Memory

28.8MiB live, 1 390.4MiB allocated

Samples

430.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-exp: 104.0ms (38.8% of total)

ival-mult: 71.0ms (26.5% of total)

ival-sub: 40.0ms (14.9% of total)

ival-neg: 40.0ms (14.9% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess334.0ms (3.1%)

Memory

-51.7MiB live, 449.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 302×	`lower-fma.f64`
7 302×	`lower-fma.f32`
2 712×	`lower-*.f32`
2 710×	`lower-*.f64`
2 292×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	30	13
2	74	13
3	156	13
4	282	13
5	410	13
6	635	13
7	968	13
8	1625	13
9	3013	13
10	6135	13
0	6	7
0	10	7
1	22	6
2	51	6
3	106	6
4	192	6
5	293	6
6	468	6
7	776	6
8	1277	6
9	2109	6
10	4291	6
11	7386	6
0	8073	5

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Symmetry

(abs x)

explain108.0ms (1%)

Memory

-17.5MiB live, 140.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`(*.f64 x x)`
0	-	-	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (36.8% of total)

ival-exp: 4.0ms (24.5% of total)

ival-neg: 3.0ms (18.4% of total)

ival-sub: 2.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify247.0ms (2.3%)

Memory

-10.2MiB live, 308.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	256	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Rules

7 302×	`lower-fma.f64`
7 302×	`lower-fma.f32`
2 712×	`lower-*.f32`
2 710×	`lower-*.f64`
2 292×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	22	21
2	51	21
3	106	21
4	192	21
5	293	21
6	468	21
7	776	21
8	1277	21
9	2109	21
10	4291	21
11	7386	21
0	8073	19

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize21.0ms (0.2%)

Memory

-5.1MiB live, 33.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.9%	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

12.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-exp: 2.0ms (30.1% of total)

ival-mult: 2.0ms (30.1% of total)

ival-sub: 1.0ms (15% of total)

ival-neg: 1.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (exp -1) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(neg (- 1 (* x x)))
0.0ms	x	@	0	(exp (neg (- 1 (* x x))))
0.0ms	x	@	0	(neg (- 1 (* x x)))
0.0ms	x	@	0	(* x x)
0.0ms	x	@	inf	(* x x)

simplify248.0ms (2.3%)

Memory

34.9MiB live, 344.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 734×	`lower-fma.f64`
9 734×	`lower-fma.f32`
3 654×	`lower-*.f64`
3 654×	`lower-*.f32`
1 572×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	254
1	81	241
2	247	237
3	607	234
4	1355	234
5	2041	234
6	3139	234
7	5658	234
0	8384	211

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite601.0ms (5.6%)

Memory

-23.6MiB live, 387.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 524×	`lower-fma.f64`
5 524×	`lower-fma.f32`
3 714×	`lower-/.f64`
3 714×	`lower-/.f32`
2 654×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16

Stop Event

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

Counts

4 → 500

Calls

Call 1

Inputs
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

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

eval67.0ms (0.6%)

Memory: 4.3MiB live, 117.8MiB allocated
Compiler: Compiled 16 958 to 1 785 computations (89.5% saved)

prune76.0ms (0.7%)

Memory

16.5MiB live, 136.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	540	8	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	541	8	549

Accuracy

100.0%

Counts

549 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.3%	(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
▶	77.3%	(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
▶	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	63.1%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	45.3%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	89.5%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
▶	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
	68.5%	#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))

Compiler

Compiled 236 to 136 computations (42.4% saved)

simplify462.0ms (4.3%)

Memory

-18.0MiB live, 182.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	0	(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
✓	cost-diff	0	(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
✓	cost-diff	320	(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
✓	cost-diff	0	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
✓	cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
✓	cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	0	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Rules

5 770×	`lower-fma.f32`
5 762×	`lower-fma.f64`
2 856×	`lower-*.f32`
2 840×	`lower-*.f64`
1 580×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	242
0	55	224
1	115	192
2	241	192
3	540	192
4	1241	192
5	3083	192
6	4998	192
7	5945	192
8	7081	192
0	8118	188

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
x
(fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
x
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
x
(fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
x
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x x))
(*.f64 x x)

localize172.0ms (1.6%)

Memory

-15.7MiB live, 66.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	64.1%	(/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
✓	accuracy	56.4%	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
✓	accuracy	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (E.f64))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	45.3%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Samples

66.0ms

256×

valid

Compiler

Compiled 232 to 31 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 14.0ms (35.5% of total)

ival-exp: 6.0ms (15.2% of total)

ival-add: 5.0ms (12.7% of total)

ival-pow: 5.0ms (12.7% of total)

ival-div: 4.0ms (10.1% of total)

ival-e: 2.0ms (5.1% of total)

ival-neg: 2.0ms (5.1% of total)

ival-sub: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

19 → 204

Calls

Call 1

Inputs
#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (E.f64)) (patch (/.f64 #s(literal 1 binary64) (E.f64)) #<representation binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) (patch (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (neg (- 1 (* x x))) (.f64 x x)) (patch #s(approx (neg (- 1 ( x x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (patch (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))) (patch (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (patch (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (patch (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())

Outputs
#s(alt (exp -1) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp -1) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (E)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (E)) (/ (pow x 2) (E))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 4) (E))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 4) (E))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp -1) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))) (taylor inf x) (#s(alt (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 x (.f64 x (.f64 x x))) (patch (.f64 x (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1)))))
1.0ms	x	@	0	(* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1))
1.0ms	x	@	0	(* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1)))))
0.0ms	x	@	inf	(* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1))
0.0ms	x	@	inf	(+ (* x (* x (* x 1/2))) x)

simplify865.0ms (8%)

Memory

-11.9MiB live, 552.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 804×	`lower-fma.f64`
18 804×	`lower-fma.f32`
4 264×	`lower-*.f64`
4 264×	`lower-*.f32`
3 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	2039
1	457	1870
2	1366	1769
3	4628	1715
0	8520	1567

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 203

Calls

Call 1

Inputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* -1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1/2 (exp -1)) (* 1/6 (* (pow x 2) (exp -1))))))))
1
(- 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))
1
(- 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

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

rewrite315.0ms (2.9%)

Memory

15.5MiB live, 688.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 138×	`lower-fma.f32`
6 130×	`lower-fma.f64`
3 916×	`lower-*.f32`
3 900×	`lower-*.f64`
3 408×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	179
0	55	147
1	206	125
2	1343	125
0	8528	121

Stop Event

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

Counts

19 → 863

Calls

Call 1

Inputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 x (.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x)))) (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 x (neg.f64 x))))
(/.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x)))))
(/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x))))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (+.f64 (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x (neg.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (exp.f64 (.f64 x (neg.f64 x))) #s(literal -1 binary64)))
(.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (pow.f64 (E.f64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) (exp.f64 (+.f64 (neg.f64 (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (pow.f64 (E.f64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(.f64 (exp.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))))) (pow.f64 (E.f64) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (pow.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))))
(.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (exp.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (exp.f64 (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (pow.f64 (E.f64) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (pow.f64 (E.f64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (pow.f64 (E.f64) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(.f64 (.f64 (pow.f64 (E.f64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (pow.f64 (E.f64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))))))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)))
(.f64 (.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (neg.f64 x) (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) x)
(.f64 (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
(.f64 (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 x (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)))
(.f64 (.f64 (.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (neg.f64 x)) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (neg.f64 (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (neg.f64 (/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(neg.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (neg.f64 (neg.f64 (.f64 x (*.f64 x x)))))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (*.f64 x x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(.f64 (neg.f64 x) (neg.f64 (.f64 x (*.f64 x x))))
(.f64 (neg.f64 (.f64 x (*.f64 x x))) (neg.f64 x))
(.f64 (neg.f64 (neg.f64 (.f64 x (*.f64 x x)))) x)
(.f64 (neg.f64 (neg.f64 x)) (.f64 x (*.f64 x x)))

eval166.0ms (1.5%)

Memory: 29.3MiB live, 323.9MiB allocated
Compiler: Compiled 34 160 to 2 998 computations (91.2% saved)

prune186.0ms (1.7%)

Memory

-2.5MiB live, 397.7MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 253	12	1 265
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 257	16	1 273

Accuracy

100.0%

Counts

1 273 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
	99.9%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
✓	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	63.1%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	68.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
	51.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
▶	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
✓	45.3%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
	89.5%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
▶	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
	44.2%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))

Compiler

Compiled 465 to 251 computations (46% saved)

simplify317.0ms (2.9%)

Memory

1.3MiB live, 489.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) (E.f64))
✓	cost-diff	0	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
✓	cost-diff	384	(fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
✓	cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
✓	cost-diff	0	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	6464	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))

Rules

13 190×	`lower-fma.f32`
13 176×	`lower-fma.f64`
4 156×	`lower-*.f32`
4 144×	`lower-*.f64`
1 522×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	327
0	83	319
1	176	290
2	392	290
3	935	290
4	1803	288
5	4971	286
0	8204	272

Stop Event

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

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
x
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
(E.f64)
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
x
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))

Outputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
x
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x x) x)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
#s(literal 1 binary64)
(/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
(/.f64 (E.f64) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(E.f64)
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
x
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x x) x)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))

localize186.0ms (1.7%)

Memory

-6.7MiB live, 188.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 x x) (E.f64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))
✓	accuracy	99.9%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	accuracy	99.5%	(/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
✓	accuracy	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(fma.f64 x x #s(literal 1 binary64))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	99.8%	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
✓	accuracy	68.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(exp.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))

Samples

131.0ms

256×

valid

Compiler

Compiled 294 to 50 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-pow: 49.0ms (44% of total)

ival-mult: 22.0ms (19.8% of total)

ival-add: 14.0ms (12.6% of total)

ival-div: 10.0ms (9% of total)

ival-exp: 6.0ms (5.4% of total)

const: 4.0ms (3.6% of total)

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

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

ival-sub: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

23 → 252

Calls

Call 1

Inputs
#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (E.f64)) (patch (/.f64 #s(literal 1 binary64) (E.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) (patch (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (patch (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (patch #s(approx ( (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (E.f64)) (patch (/.f64 (.f64 x x) (E.f64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (exp -1) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* (+ 1 x) (- x 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* (+ 1 x) (- x 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* (+ 1 x) (- x 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* (+ 1 x) (- x 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp 1) (taylor 0 x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp 1) (* x (exp 1))) (taylor 0 x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1)))))) (taylor 0 x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1))))))) (taylor 0 x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 1 x)) (taylor inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 1 x)) (taylor inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 1 x)) (taylor inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(exp (+ x 1))
1.0ms	x	@	0	(pow (exp (+ x 1)) (+ x -1))
1.0ms	x	@	inf	(/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))
0.0ms	x	@	inf	(+ (* (/ (* x x) (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/ 1 (E)))
0.0ms	x	@	inf	(/ (* x x) (E))

simplify322.0ms (3%)

Memory

-20.4MiB live, 438.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 190×	`lower-fma.f64`
12 190×	`lower-fma.f32`
3 242×	`lower-*.f64`
3 242×	`lower-*.f32`
2 582×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	2756
1	710	2467
2	2054	2255
3	6789	2251
0	8513	2035

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 246

Calls

Call 1

Inputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp 1)
(+ (exp 1) (* x (exp 1)))
(+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))
(+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1)))))))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(E)
(+ (E) (* -1 (* (pow x 2) (E))))
(+ (E) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (E)) (* 1/2 (E))))) (E))))
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (+ (* -1 (E)) (* 1/2 (E)))) (* -1/2 (E))))) (+ (* -1 (E)) (* 1/2 (E))))) (E))))
(* 2 (/ (E) (pow x 4)))
(/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))
(* 2 (/ (E) (pow x 4)))
(/ (+ (* -4 (/ (E) (pow x 2))) (* 2 (E))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* 4 (E))) (pow x 4))) (* 2 (E))) (* 4 (/ (E) (pow x 2)))) (pow x 4))
(/ (- (+ (* -1 (/ (+ (* -8 (E)) (* -2 (+ (* -8 (E)) (* 4 (E))))) (pow x 6))) (* 2 (E))) (+ (* -8 (/ (E) (pow x 4))) (+ (* 4 (/ (E) (pow x 2))) (* 4 (/ (E) (pow x 4)))))) (pow x 4))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))

Outputs
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp 1)
(E.f64)
(+ (exp 1) (* x (exp 1)))
(fma.f64 x (E.f64) (E.f64))
(+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (E.f64)) (E.f64)) (E.f64))
(+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1)))))))
(fma.f64 x (fma.f64 (*.f64 x (E.f64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)) (E.f64))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(exp.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(-.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(-.f64 (fma.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(-.f64 (fma.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(exp.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(-.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(-.f64 (fma.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(-.f64 (fma.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)))
(/ 1 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ 1 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(/ 1 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(exp -1)
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(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))

rewrite397.0ms (3.7%)

Memory

7.1MiB live, 543.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 630×	`lower-fma.f32`
5 616×	`lower-fma.f64`
5 514×	`lower-*.f32`
5 502×	`lower-*.f64`
3 020×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	267
0	83	259
1	362	222
2	2878	202
0	8866	193

Stop Event

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

Counts

23 → 956

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
(E.f64)
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
(/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(/.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (exp.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))
(.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (exp.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) (exp.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (+.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (+.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (E.f64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 x) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 x) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 (.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (E.f64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (exp.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (E.f64) (exp.f64 x))
(*.f64 (exp.f64 x) (E.f64))
(.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (E.f64))
(.f64 (.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64)))
(.f64 (.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (log.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (log.f64 (*.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))
(+.f64 (log.f64 (*.f64 (exp.f64 x) (sqrt.f64 (E.f64)))) #s(literal 1/2 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (neg.f64 x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (E.f64))))
(neg.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (E.f64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 (E.f64) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))))
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(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))

eval224.0ms (2.1%)

Memory: 28.2MiB live, 398.2MiB allocated
Compiler: Compiled 47 287 to 3 024 computations (93.6% saved)

prune240.0ms (2.2%)

Memory

-3.0MiB live, 421.1MiB allocated

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1 404	26	1 430
Fresh	4	4	8
Picked	3	2	5
Done	0	3	3
Total	1 411	35	1 446

Accuracy

100.0%

Counts

1 446 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
	99.9%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
	98.2%	(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
	100.0%	(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
✓	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	63.1%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (/.f64 x (E.f64)) x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (E.f64))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (.f64 (sqrt.f64 (E.f64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (E.f64) (sqrt.f64 (E.f64)))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
	86.4%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
✓	68.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
▶	26.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
	68.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	51.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
	86.1%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
✓	45.3%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	44.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))))
	44.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
▶	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	89.5%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
	44.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
	44.2%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
	44.2%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))

Compiler

Compiled 1 250 to 687 computations (45% saved)

simplify200.0ms (1.8%)

Memory

-4.0MiB live, 309.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) (E.f64))
✓	cost-diff	0	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
✓	cost-diff	64	(fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
✓	cost-diff	0	(/.f64 x (E.f64))
✓	cost-diff	0	(.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))
✓	cost-diff	0	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
✓	cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	#s(approx (+ (* x x) 1) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
✓	cost-diff	0	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
✓	cost-diff	0	(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	192	(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Rules

5 656×	`lower-fma.f32`
5 638×	`lower-fma.f64`
3 872×	`lower-*.f32`
3 856×	`lower-*.f64`
2 164×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	477
0	95	445
1	205	412
2	534	406
3	1403	406
4	2912	406
5	7055	406
0	8276	381

Stop Event

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

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))
x
(.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 x (E.f64))
(E.f64)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
(fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
#s(literal 1/36 binary64)
#s(literal -1/4 binary64)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))

Outputs
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(exp.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 x (/.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
x
(.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (E.f64))
(/.f64 x (E.f64))
(E.f64)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
(fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 x (/.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
(fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
#s(literal 1/36 binary64)
#s(literal -1/4 binary64)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))

localize291.0ms (2.7%)

Memory

-4.6MiB live, 305.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (*.f64 x x) (E.f64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
✓	accuracy	64.1%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.5%	(/.f64 x (E.f64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	99.8%	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
✓	accuracy	86.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	99.8%	(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
✓	accuracy	68.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
✓	accuracy	57.1%	#s(approx (+ (* x x) 1) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))

Samples

206.0ms

256×

valid

Compiler

Compiled 414 to 57 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult: 119.0ms (64.9% of total)

ival-div: 21.0ms (11.4% of total)

ival-add: 14.0ms (7.6% of total)

ival-pow: 11.0ms (6% of total)

ival-exp: 7.0ms (3.8% of total)

const: 6.0ms (3.3% of total)

ival-e: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series19.0ms (0.2%)

Memory

33.2MiB live, 33.2MiB allocated

Counts

24 → 264

Calls

Call 1

Inputs
#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx ( (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64)) (patch (/.f64 #s(approx (+ ( x x) 1) (*.f64 x x)) (E.f64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) 1) (.f64 x x)) (patch #s(approx (+ ( x x) 1) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (patch #s(approx (exp (neg (- 1 ( x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (E.f64)) (patch (/.f64 #s(literal 1 binary64) (E.f64)) #<representation binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))) (patch #s(approx ( (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))) (patch (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x (E.f64)) (patch (/.f64 x (E.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (patch (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (patch #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (E.f64)) (patch (/.f64 (.f64 x x) (E.f64)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/2 x) 1/2) (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 x) 1/2) (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp -1) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1)))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1)))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1)))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1)))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (patch (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp 2) (taylor 0 x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp 2) (* 2 (* x (exp 2)))) (taylor 0 x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp 2) (* x (+ (* 2 (exp 2)) (* 2 (* x (exp 2)))))) (taylor 0 x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp 2) (* x (+ (* 2 (exp 2)) (* x (+ (* 4/3 (* x (exp 2))) (* 2 (exp 2))))))) (taylor 0 x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 2 (* 2 x))) (taylor inf x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 2 (* 2 x))) (taylor inf x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 2 (* 2 x))) (taylor inf x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 2 (* 2 x))) (taylor inf x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (- 2 (* -2 x))) (taylor -inf x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (- 2 (* -2 x))) (taylor -inf x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (- 2 (* -2 x))) (taylor -inf x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (- 2 (* -2 x))) (taylor -inf x) (#s(alt (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (patch (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp -1) (taylor 0 x) (#s(alt #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx ( (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())) ())
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#s(alt (- x 1) (taylor 0 x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1))
1.0ms	x	@	0	(pow (exp (+ (+ x 1) (+ x 1))) (* (+ x -1) 1/2))
1.0ms	x	@	inf	(+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E)))
0.0ms	x	@	inf	(* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1))
0.0ms	x	@	inf	(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))

simplify616.0ms (5.7%)

Memory

-106.0MiB live, 549.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 368×	`lower-fma.f64`
17 368×	`lower-fma.f32`
4 940×	`lower-*.f64`
4 940×	`lower-*.f32`
1 656×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	3189
1	600	2929
2	1821	2602
3	5711	2586
0	8266	2349

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

Inputs
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
-1/2
(- (* 1/2 x) 1/2)
(- (* 1/2 x) 1/2)
(- (* 1/2 x) 1/2)
(* 1/2 x)
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))
(exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))
(exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))
(exp (* 1/2 (* (+ 2 (* 2 x)) (- x 1))))
(exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))
(exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))
(exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))
(exp (* -1/2 (* (+ 1 (* -1 x)) (- 2 (* -2 x)))))
(exp 2)
(+ (exp 2) (* 2 (* x (exp 2))))
(+ (exp 2) (* x (+ (* 2 (exp 2)) (* 2 (* x (exp 2))))))
(+ (exp 2) (* x (+ (* 2 (exp 2)) (* x (+ (* 4/3 (* x (exp 2))) (* 2 (exp 2)))))))
(exp (+ 2 (* 2 x)))
(exp (+ 2 (* 2 x)))
(exp (+ 2 (* 2 x)))
(exp (+ 2 (* 2 x)))
(exp (- 2 (* -2 x)))
(exp (- 2 (* -2 x)))
(exp (- 2 (* -2 x)))
(exp (- 2 (* -2 x)))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(/ x (E))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))))
(* x (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E))))
(* 1/6 (/ (pow x 5) (E)))
(* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 5) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/6 (/ (pow x 5) (E)))
(* (pow x 5) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (E))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))) (pow x 2))) (* 1/6 (/ 1 (E))))))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (* -1/2 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* -1/2 (exp -1)) (* (pow x 2) (+ (* -1 (* (exp -1) (log (/ 1 (E))))) (+ (* 1/6 (exp -1)) (* (exp -1) (log (/ 1 (E)))))))))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4)))))
(+ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (+ (* -13/6 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 6))) (+ (* -1 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 2))) (* 3/2 (/ (exp (* -1 (/ (* (pow x 4) (log (/ 1 (E)))) (+ 1 (pow x 2))))) (pow x 4))))))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))

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

rewrite356.0ms (3.3%)

Memory

23.2MiB live, 449.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 482×	`lower-*.f32`
6 466×	`lower-*.f64`
3 698×	`lower-/.f32`
3 688×	`lower-/.f64`
3 576×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	365
0	95	314
1	420	276
2	3701	238
0	10679	233

Stop Event

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

Counts

24 → 665

Calls

Call 1

Inputs
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 x (E.f64))
(fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(/.f64 (*.f64 x x) (E.f64))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))

Outputs
(log.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))))
(+.f64 x (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (log.f64 (exp.f64 x)) (log.f64 (exp.f64 (+.f64 #s(literal 2 binary64) x))))
(+.f64 (log.f64 (exp.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) x) (.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)))) (fma.f64 x x (-.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))))
(/.f64 (fma.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (fma.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x))) (-.f64 x (+.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64))
(pow.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (+.f64 x #s(literal 1 binary64)) (log.f64 (.f64 (E.f64) (E.f64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))) (+.f64 x #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (+.f64 x (+.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(fabs.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(fabs.f64 (fabs.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) x) (pow.f64 (exp.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (exp.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (exp.f64 (*.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (+.f64 x (+.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 (.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (+.f64 x (+.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (+.f64 x (+.f64 #s(literal 2 binary64) x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (+.f64 x (+.f64 #s(literal 2 binary64) x))) (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (E.f64) (E.f64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (*.f64 (E.f64) (E.f64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) x)))
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(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/12 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))

eval195.0ms (1.8%)

Memory: -34.3MiB live, 247.0MiB allocated
Compiler: Compiled 35 232 to 2 288 computations (93.5% saved)

prune258.0ms (2.4%)

Memory

13.4MiB live, 251.9MiB allocated

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	1 283	16	1 299
Fresh	9	16	25
Picked	3	2	5
Done	0	5	5
Total	1 295	39	1 334

Accuracy

100.0%

Counts

1 334 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(pow.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
	99.9%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
	98.2%	(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
	100.0%	(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
✓	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	63.1%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
✓	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (/.f64 x (E.f64)) x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
	66.9%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
	68.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.2%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (.f64 (sqrt.f64 (E.f64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (E.f64) (sqrt.f64 (E.f64)))))
	89.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
	86.4%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
	86.4%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
✓	68.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
✓	26.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
	26.5%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
	47.2%	#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x))))
	51.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
✓	45.3%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	44.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
	89.5%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
	44.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
	44.2%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
	44.2%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))

Compiler

Compiled 1 909 to 619 computations (67.6% saved)

regimes108.0ms (1%)

Memory

3.4MiB live, 82.4MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (/.f64 x (E.f64)) x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (E.f64))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (.f64 (sqrt.f64 (E.f64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (E.f64) (sqrt.f64 (E.f64)))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))

Outputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))

Calls

5 calls:

45.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
19.0ms	x
14.0ms	(*.f64 x x)
13.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
12.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes93.0ms (0.9%)

Memory

18.4MiB live, 94.7MiB allocated

Counts

57 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (/.f64 x (E.f64)) x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (E.f64))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (.f64 (sqrt.f64 (E.f64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (E.f64) (sqrt.f64 (E.f64)))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Calls

5 calls:

37.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
14.0ms	(*.f64 x x)
14.0ms	x
13.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
12.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.9%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes101.0ms (0.9%)

Memory

-16.6MiB live, 70.1MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (/.f64 x (E.f64)) x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (E.f64))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (.f64 (sqrt.f64 (E.f64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (E.f64) (sqrt.f64 (E.f64)))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Outputs
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))

Calls

5 calls:

32.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
29.0ms	(*.f64 x x)
14.0ms	x
12.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
11.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
98.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
98.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
98.2%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes90.0ms (0.8%)

Memory

3.9MiB live, 77.2MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (/.f64 x (E.f64)) x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (E.f64))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (E.f64))) (E.f64) (sqrt.f64 (E.f64))) (*.f64 (E.f64) (sqrt.f64 (E.f64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (E.f64) (.f64 (sqrt.f64 (E.f64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 (E.f64) (sqrt.f64 (E.f64)))))

Outputs

#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))

#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x x) (E.f64)) x)))))

Calls

5 calls:

31.0ms	x
23.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
12.0ms	(*.f64 x x)
11.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
10.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
93.4%	2	`x`
89.5%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
93.4%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
93.4%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
93.4%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes135.0ms (1.2%)

Memory

-6.3MiB live, 69.6MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) (E.f64))))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (+ (* x (* x 1/6)) 1/2) (.f64 x (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) #s(approx (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (/.f64 x (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (/.f64 x (E.f64)) x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (E.f64) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x x) (E.f64))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))))

Outputs

#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64))))

Calls

5 calls:

64.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
39.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
11.0ms	x
10.0ms	(*.f64 x x)
9.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
89.5%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
89.5%	1	`x`
89.5%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
89.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
89.5%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes96.0ms (0.9%)

Memory

26.1MiB live, 59.4MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))

Outputs

#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))))

#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))

Calls

5 calls:

69.0ms	(*.f64 x x)
7.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
6.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
89.5%	2	`x`
89.5%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
89.5%	2	`(*.f64 x x)`
89.5%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
89.5%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes31.0ms (0.3%)

Memory

5.0MiB live, 44.4MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (/.f64 (.f64 #s(literal 2 binary64) (E.f64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x #s(approx (+ (* x (* 1/2 (* x x))) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))

Outputs

#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))

#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (E.f64)) x))))

Calls

5 calls:

7.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
6.0ms	x
6.0ms	(*.f64 x x)
5.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
5.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
89.5%	2	`x`
89.5%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
89.5%	2	`(*.f64 x x)`
89.5%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
89.5%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-9.1MiB live, 30.3MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))

Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))

Calls

5 calls:

10.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms	x
5.0ms	(*.f64 x x)
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
86.4%	1	`x`
86.4%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
86.4%	1	`(*.f64 x x)`
86.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
86.4%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory

-20.1MiB live, 24.2MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))

Outputs

#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))

#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))

Calls

5 calls:

11.0ms	x
4.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
86.4%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
86.4%	2	`x`
86.4%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
86.4%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
86.4%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/2)) 1) (* x x)) 1)) (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))))

Outputs

#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x x) (E.f64)) x)))))

#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))

Calls

5 calls:

4.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
86.4%	2	`x`
86.4%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
86.4%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
86.4%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
86.4%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-18.4MiB live, 21.3MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 x #s(approx (* (/ x (E)) (+ (* (* x x) (+ (* x (* x 1/6)) 1/2)) 1)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))

Outputs
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))

Calls

5 calls:

3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
68.5%	1	`x`
68.5%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
68.5%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
68.5%	1	`(*.f64 x x)`
68.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1)) (-.f64 (E.f64) (.f64 x (.f64 x (E.f64)))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))

Outputs
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
68.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
68.5%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
68.5%	1	`x`
68.5%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
68.5%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-26.9MiB live, 12.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))

Outputs

#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))

Calls

5 calls:

2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
68.2%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
68.2%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
68.2%	2	`x`
68.2%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
68.2%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
45.3%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
45.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
45.3%	1	`x`
45.3%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
45.3%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.781060583391164e+151	7.915309344580203e+155

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4560046973557344	4133679.8980911346

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4560046973557344	4133679.8980911346

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.21474783169790762	16.23467858470462

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-15.234678584704621	0.7852521683020923

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch9.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.21474783169790762	16.23467858470462

Samples

4.0ms

112×

valid

Compiler

Compiled 102 to 73 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (45.4% of total)

ival-exp: 1.0ms (45.4% of total)

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

exact: 0.0ms (0% of total)

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

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

simplify48.0ms (0.4%)

Memory

-10.1MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Rules

358×	`distribute-lft-neg-in_binary64`
208×	`neg-mul-1_binary64`
198×	`neg-sub0_binary64`
176×	`unsub-neg_binary64`
150×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	693
1	153	693
2	164	693
3	182	691
4	223	691
5	310	691
6	450	691
7	578	691
8	706	691
9	818	691
10	931	691
11	1048	691
12	1146	691
13	1199	691
14	1215	691
15	1217	691

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x)))))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx ( (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -10 binary64)) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Outputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))))
(if (<=.f64 (.f64 x x) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))))) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 x x) (E.f64))))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x)))))
(if (<=.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (E.f64)))))))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (E.f64)) x)))))
(if (<=.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (+ (* (/ (* x x) (E)) (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) -1/2))) 1)) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (E.f64)))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx ( (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64))))))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx ( (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ 1 (/ (E) (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -10 binary64)) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -10 binary64)) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 x x) (E.f64))))))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 #s(literal 1 binary64) (E.f64))) #s(approx (* (exp (* -1 (/ 1 (+ (* x x) 1)))) (pow (/ 1 (E)) (neg (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

soundness1.7s (15.9%)

Memory

-3.4MiB live, 937.3MiB allocated

Rules

18 804×	`lower-fma.f64`
18 804×	`lower-fma.f32`
17 368×	`lower-fma.f64`
17 368×	`lower-fma.f32`
12 190×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	2756
1	710	2467
2	2054	2255
3	6789	2251
0	8513	2035
0	49	267
0	83	259
1	362	222
2	2878	202
0	8866	193
0	150	2039
1	457	1870
2	1366	1769
3	4628	1715
0	8520	1567
0	191	3189
1	600	2929
2	1821	2602
3	5711	2586
0	8266	2349
0	30	254
1	81	241
2	247	237
3	607	234
4	1355	234
5	2041	234
6	3139	234
7	5658	234
0	8384	211
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16
0	32	179
0	55	147
1	206	125
2	1343	125
0	8528	121

Stop Event

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

Compiler

Compiled 569 to 247 computations (56.6% saved)

preprocess68.0ms (0.6%)

Memory: 4.2MiB live, 122.2MiB allocated
Compiler: Compiled 630 to 168 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample684.0ms (6.3%)

preprocess334.0ms (3.1%)

explain108.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify247.0ms (2.3%)

localize21.0ms (0.2%)

series2.0ms (0%)

simplify248.0ms (2.3%)

rewrite601.0ms (5.6%)

eval67.0ms (0.6%)

prune76.0ms (0.7%)

simplify462.0ms (4.3%)

localize172.0ms (1.6%)

series13.0ms (0.1%)

simplify865.0ms (8%)

rewrite315.0ms (2.9%)

eval166.0ms (1.5%)

prune186.0ms (1.7%)

simplify317.0ms (2.9%)

localize186.0ms (1.7%)

series17.0ms (0.2%)

simplify322.0ms (3%)

rewrite397.0ms (3.7%)

eval224.0ms (2.1%)

prune240.0ms (2.2%)

simplify200.0ms (1.8%)

localize291.0ms (2.7%)

series19.0ms (0.2%)

simplify616.0ms (5.7%)

rewrite356.0ms (3.3%)

eval195.0ms (1.8%)

prune258.0ms (2.4%)

regimes108.0ms (1%)

regimes93.0ms (0.9%)

regimes101.0ms (0.9%)

regimes90.0ms (0.8%)

regimes135.0ms (1.2%)

regimes96.0ms (0.9%)

regimes31.0ms (0.3%)

regimes30.0ms (0.3%)

regimes25.0ms (0.2%)

regimes17.0ms (0.2%)

regimes21.0ms (0.2%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

simplify48.0ms (0.4%)

soundness1.7s (15.9%)

preprocess68.0ms (0.6%)

end0.0ms (0%)

Profiling