Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.3s (15.2%)

Memory

26.5MiB live, 1 457.2MiB allocated

Samples

746.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 564.0ms

ival-mult: 372.0ms (66% of total)

ival-exp: 97.0ms (17.2% of total)

ival-sub: 41.0ms (7.3% of total)

ival-neg: 41.0ms (7.3% of total)

ival-true: 5.0ms (0.9% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain112.0ms (1.3%)

Memory

0.4MiB live, 151.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

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

ival-sub: 16.0ms (51% of total)

ival-mult: 8.0ms (25.5% of total)

ival-exp: 4.0ms (12.8% of total)

ival-neg: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess203.0ms (2.4%)

Memory

-23.7MiB live, 211.1MiB allocated

Algorithm

1×	egg-herbie

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)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify149.0ms (1.8%)

Memory

3.4MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)))

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

localize17.0ms (0.2%)

Memory

34.4MiB live, 34.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.015625	(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 (30.6% of total)

ival-mult: 2.0ms (30.6% of total)

ival-sub: 1.0ms (15.3% of total)

ival-neg: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-34.2MiB live, 3.8MiB 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 (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 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 (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 (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 (- (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 (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 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 (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 (- (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 (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 -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

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
1.0ms	x	@	0	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

Time

Variable

Point

Expression

1.0ms

inf

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

1.0ms

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

0.0ms

-inf

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

simplify140.0ms (1.6%)

Memory

27.9MiB live, 145.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	254
1	81	241
2	247	237
3	605	234
4	1328	234
5	2025	234
6	3122	234
7	5538	234
0	8219	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)
(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)))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (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) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (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) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (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)

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

rewrite270.0ms (3.2%)

Memory

4.4MiB live, 282.2MiB allocated

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
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eval117.0ms (1.4%)

Memory: 16.1MiB live, 198.1MiB allocated
Compiler: Compiled 10 865 to 1 802 computations (83.4% saved)

prune13.0ms (0.2%)

Memory

16.2MiB live, 54.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	542	6	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	543	6	549

Accuracy

100.0%

Counts

549 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	100.0%	(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 x)))
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
	75.0%	(exp.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
▶	61.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	47.3%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 76 to 66 computations (13.2% saved)

simplify367.0ms (4.3%)

Memory

-108.9MiB live, 201.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(E.f64)
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) x)
cost-diff	6784	(/.f64 (pow.f64 (exp.f64 x) x) (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)))
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	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
cost-diff	0	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) (neg.f64 x))
cost-diff	0	(exp.f64 #s(literal -1 binary64))
cost-diff	13312	(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	89
0	34	94
1	51	86
2	79	86
3	146	77
4	307	77
5	645	77
6	1558	77
7	2350	77
8	4480	77
9	6904	77
0	8362	77

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (0.7%)

Memory

43.6MiB live, 114.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(pow.f64 (exp.f64 x) x)
accuracy	0.015625	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
accuracy	32.936856690183916	(E.f64)
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.015625	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	29.05245047468435	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.015625	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	0.8160351880382043	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
accuracy	0	(exp.f64 x)
accuracy	0	(exp.f64 #s(literal -1 binary64))
accuracy	0.00390625	(pow.f64 (exp.f64 x) (neg.f64 x))
accuracy	0.00390625	(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 x)))

Samples

25.0ms	136×	0	exit
20.0ms	120×	0	valid

Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions

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

ival-exp: 11.0ms (35.8% of total)

ival-pow: 9.0ms (29.3% of total)

ival-div: 3.0ms (9.8% of total)

ival-mult: 2.0ms (6.5% of total)

ival-e: 2.0ms (6.5% of total)

ival-neg: 2.0ms (6.5% of total)

ival-add: 1.0ms (3.3% of total)

ival-sub: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

-28.1MiB live, 16.0MiB allocated

Counts

14 → 144

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	((/ (exp -1) (pow (exp x) (neg x))) (exp -1) (pow (exp x) (neg x)) (exp x) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E))
1.0ms	x	@	inf	((/ (exp -1) (pow (exp x) (neg x))) (exp -1) (pow (exp x) (neg x)) (exp x) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E))
1.0ms	x	@	-inf	((/ (exp -1) (pow (exp x) (neg x))) (exp -1) (pow (exp x) (neg x)) (exp x) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E))

Time

Variable

Point

Expression

12.0ms

((/ (exp -1) (pow (exp x) (neg x))) (exp -1) (pow (exp x) (neg x)) (exp x) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E))

1.0ms

inf

((/ (exp -1) (pow (exp x) (neg x))) (exp -1) (pow (exp x) (neg x)) (exp x) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E))

1.0ms

-inf

((/ (exp -1) (pow (exp x) (neg x))) (exp -1) (pow (exp x) (neg x)) (exp x) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E))

simplify286.0ms (3.4%)

Memory

26.4MiB live, 321.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	973
1	292	907
2	927	834
3	3153	829
4	7754	829
0	8214	718

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite246.0ms (2.9%)

Memory

18.6MiB live, 332.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	78
0	34	83
1	118	66
2	688	66
3	5455	66
0	8695	66

Stop Event

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

Counts

14 → 1 037

Calls

Call 1

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

Outputs
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eval187.0ms (2.2%)

Memory: 11.7MiB live, 420.2MiB allocated
Compiler: Compiled 15 654 to 2 050 computations (86.9% saved)

prune60.0ms (0.7%)

Memory

-8.1MiB live, 100.1MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 189	5	1 194
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 192	8	1 200

Accuracy

100.0%

Counts

1 200 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	72.6%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	47.3%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
▶	100.0%	(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	100.0%	(exp.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	61.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	89.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))

Compiler

Compiled 120 to 89 computations (25.8% saved)

simplify129.0ms (1.5%)

Memory

13.3MiB live, 239.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
cost-diff	0	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(exp.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
cost-diff	320	(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
cost-diff	384	(fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (+.f64 #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	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
cost-diff	0	(E.f64)
cost-diff	0	#s(approx (pow (exp x) x) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff	320	(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	384	(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	182
0	54	168
1	93	167
2	188	167
3	378	166
4	760	158
5	1189	158
6	3134	158
7	6628	158
0	8034	153

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.3%)

Memory

-13.3MiB live, 152.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09375	(/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64))
accuracy	0.125	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	6.562226990563589	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
accuracy	0.01171875	(fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
accuracy	0.015625	(exp.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(E.f64)
accuracy	0.015625	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
accuracy	17.53304776120033	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0	(E.f64)
accuracy	0.015625	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
accuracy	33.7104459329433	#s(approx (pow (exp x) x) #s(literal 1 binary64))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0.015625	(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))

Samples

86.0ms

256×

valid

Compiler

Compiled 162 to 32 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 12.0ms (25.8% of total)

ival-pow: 10.0ms (21.5% of total)

ival-add: 6.0ms (12.9% of total)

ival-exp: 6.0ms (12.9% of total)

ival-div: 4.0ms (8.6% of total)

const: 3.0ms (6.5% of total)

ival-e: 2.0ms (4.3% of total)

ival-sub: 2.0ms (4.3% of total)

exact: 1.0ms (2.2% of total)

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

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

series15.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

20 → 228

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

((+ (* (- x 1) x) (* (- x 1) 1)) (* (- x 1) 1) (exp (+ (* (- x 1) x) (* (- x 1) 1))) (- x 1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (* (+ 1 x) -1) (exp (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ 1 x) (/ (pow (exp x) x) (E)) (+ (* (/ (pow x 4) (E)) (+ (* (* 1/6 x) x) 1/2)) (/ (+ (* x x) 1) (E))) (/ (pow x 4) (E)) (pow x 4) (* 1/6 x) (/ (+ (* x x) 1) (E)))

3.0ms

-inf

((+ (* (- x 1) x) (* (- x 1) 1)) (* (- x 1) 1) (exp (+ (* (- x 1) x) (* (- x 1) 1))) (- x 1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (* (+ 1 x) -1) (exp (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ 1 x) (/ (pow (exp x) x) (E)) (+ (* (/ (pow x 4) (E)) (+ (* (* 1/6 x) x) 1/2)) (/ (+ (* x x) 1) (E))) (/ (pow x 4) (E)) (pow x 4) (* 1/6 x) (/ (+ (* x x) 1) (E)))

2.0ms

((+ (* (- x 1) x) (* (- x 1) 1)) (* (- x 1) 1) (exp (+ (* (- x 1) x) (* (- x 1) 1))) (- x 1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (* (+ 1 x) -1) (exp (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ 1 x) (/ (pow (exp x) x) (E)) (+ (* (/ (pow x 4) (E)) (+ (* (* 1/6 x) x) 1/2)) (/ (+ (* x x) 1) (E))) (/ (pow x 4) (E)) (pow x 4) (* 1/6 x) (/ (+ (* x x) 1) (E)))

simplify160.0ms (1.9%)

Memory

-41.0MiB live, 213.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1365
1	338	1326
2	926	1267
3	3262	1259
0	8646	1133

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 222

Calls

Call 1

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

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

rewrite232.0ms (2.7%)

Memory

31.1MiB live, 219.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	157
0	54	143
1	231	134
2	1848	134
0	8405	129

Stop Event

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

Counts

20 → 1 059

Calls

Call 1

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

Outputs
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eval580.0ms (6.8%)

Memory: -0.4MiB live, 301.8MiB allocated
Compiler: Compiled 29 983 to 3 374 computations (88.7% saved)

prune228.0ms (2.7%)

Memory

-21.9MiB live, 139.1MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 541	6	1 547
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	1 544	11	1 555

Accuracy

100.0%

Counts

1 555 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	71.9%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	72.6%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	28.6%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	47.3%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
▶	72.6%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	61.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	89.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (E.f64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
	89.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (/.f64 (.f64 x x) (sqrt.f64 (E.f64))) (/.f64 (.f64 x x) (sqrt.f64 (E.f64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
▶	89.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (E.f64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))

Compiler

Compiled 227 to 152 computations (33% saved)

simplify163.0ms (1.9%)

Memory

3.4MiB live, 78.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(E.f64)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 (.f64 x x) (*.f64 x x)) (E.f64))
cost-diff	0	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (E.f64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
cost-diff	1600	(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
cost-diff	0	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	(/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.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	#s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
cost-diff	0	(E.f64)
cost-diff	0	(/.f64 (*.f64 x x) (E.f64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (E.f64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	305
0	54	299
1	98	283
2	236	267
3	754	267
4	1789	267
5	1961	267
6	2041	267
7	2210	267
8	2413	267
9	2556	263
10	2646	263
11	2938	263
12	3398	263
13	3620	263
14	3820	263
15	4104	263
16	4111	263
17	4111	263
18	4114	263
19	4114	263
0	4114	259

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize170.0ms (2%)

Memory

4.6MiB live, 120.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.171875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.4565357616521769	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (E.f64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
accuracy	32.936856690183916	(E.f64)
accuracy	0.015625	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
accuracy	0.46875	(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
accuracy	0.5010057615096168	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	32.936856690183916	(E.f64)
accuracy	0.0078125	(/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.5010057615096168	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	32.936856690183916	(E.f64)
accuracy	0.015625	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
accuracy	0.5010057615096168	#s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	28.559045354019034	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	32.936856690183916	(E.f64)
accuracy	0.0625	(/.f64 (*.f64 x x) (E.f64))
accuracy	0.171875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.4565357616521769	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (E.f64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
accuracy	32.936856690183916	(E.f64)

Samples

75.0ms	120×	0	valid
31.0ms	136×	0	exit

Compiler

Compiled 229 to 29 computations (87.3% saved)

Precisions

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

ival-mult: 11.0ms (28.1% of total)

ival-div: 9.0ms (23% of total)

ival-pow: 5.0ms (12.8% of total)

ival-add: 4.0ms (10.2% of total)

const: 3.0ms (7.7% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-14.3MiB live, 21.1MiB allocated

Counts

17 → 180

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

((/ (pow (exp x) x) (E)) (* x x) (/ (* x x) (E)) (E) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (/ 1 (/ (E) (pow (exp x) x))) (/ (E) (pow (exp x) x)) (pow (exp x) x) (* (sqrt (E)) (sqrt (E))) (/ (pow (exp x) x) (* (sqrt (E)) (sqrt (E)))) (+ (* x x) 1) (/ (pow (exp x) x) (E)) (/ (* (* x x) (* x x)) (E)) (* 1/6 x) (* (* x x) (* x x)))

2.0ms

inf

((/ (pow (exp x) x) (E)) (* x x) (/ (* x x) (E)) (E) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (/ 1 (/ (E) (pow (exp x) x))) (/ (E) (pow (exp x) x)) (pow (exp x) x) (* (sqrt (E)) (sqrt (E))) (/ (pow (exp x) x) (* (sqrt (E)) (sqrt (E)))) (+ (* x x) 1) (/ (pow (exp x) x) (E)) (/ (* (* x x) (* x x)) (E)) (* 1/6 x) (* (* x x) (* x x)))

2.0ms

((/ (pow (exp x) x) (E)) (* x x) (/ (* x x) (E)) (E) (/ (pow (exp x) x) (E)) (pow (exp x) x) (+ (* x x) 1) (/ 1 (/ (E) (pow (exp x) x))) (/ (E) (pow (exp x) x)) (pow (exp x) x) (* (sqrt (E)) (sqrt (E))) (/ (pow (exp x) x) (* (sqrt (E)) (sqrt (E)))) (+ (* x x) 1) (/ (pow (exp x) x) (E)) (/ (* (* x x) (* x x)) (E)) (* 1/6 x) (* (* x x) (* x x)))

simplify300.0ms (3.5%)

Memory

24.6MiB live, 323.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1104
1	202	1071
2	691	1043
3	2666	1014
4	7215	1014
0	8048	911

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite212.0ms (2.5%)

Memory

37.1MiB live, 346.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	179
0	54	161
1	215	153
2	1519	153
0	8290	151

Stop Event

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

Counts

17 → 493

Calls

Call 1

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

Outputs
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eval218.0ms (2.6%)

Memory: -31.7MiB live, 562.0MiB allocated
Compiler: Compiled 27 913 to 3 221 computations (88.5% saved)

prune45.0ms (0.5%)

Memory

31.8MiB live, 154.8MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	1 427	13	1 440
Fresh	1	0	1
Picked	2	3	5
Done	0	5	5
Total	1 430	21	1 451

Accuracy

100.0%

Counts

1 451 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
✓	71.9%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	72.6%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
✓	28.6%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	47.3%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
✓	72.6%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
	28.6%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
	72.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
	72.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (E.f64))))
	46.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (neg.f64 (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) (.f64 x x) (E.f64))) (.f64 x x) (E.f64))))
	46.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	61.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
	89.2%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (E.f64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
	89.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (.f64 x x) (/.f64 (E.f64) (.f64 x x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
	45.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (E.f64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))))
	89.2%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (E.f64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
	89.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (/.f64 x (/.f64 (E.f64) x))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
	89.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
	89.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (E.f64)) x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
	89.7%	#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 x (.f64 (/.f64 x (E.f64)) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))

Compiler

Compiled 743 to 326 computations (56.1% saved)

regimes53.0ms (0.6%)

Memory

-19.5MiB live, 127.5MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
9.0ms	(*.f64 x x)
9.0ms	x
9.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
7.0ms	(-.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 22 to 18 computations (18.2% saved)

regimes42.0ms (0.5%)

Memory

35.5MiB live, 110.9MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
8.0ms	x
8.0ms	(*.f64 x x)
7.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
7.0ms	(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 22 to 18 computations (18.2% saved)

regimes53.0ms (0.6%)

Memory

-35.0MiB live, 100.6MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	(*.f64 x x)
8.0ms	x
7.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms	(-.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
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 22 to 18 computations (18.2% saved)

regimes32.0ms (0.4%)

Memory

12.8MiB live, 94.2MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.7%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.7%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.7%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes33.0ms (0.4%)

Memory

-9.8MiB live, 107.9MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

7.0ms	x
7.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
7.0ms	(*.f64 x x)
6.0ms	(-.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
89.7%	1	`x`
89.7%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
89.7%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
89.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
89.7%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes21.0ms (0.2%)

Memory

18.1MiB live, 60.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

5.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(-.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
89.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
89.2%	1	`x`
89.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
89.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
89.2%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes48.0ms (0.6%)

Memory

-19.3MiB live, 59.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

34.0ms	(*.f64 x x)
4.0ms	x
3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(-.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
72.6%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
72.6%	1	`x`
72.6%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
72.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
72.6%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes36.0ms (0.4%)

Memory

-9.7MiB live, 29.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

30.0ms	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
72.2%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
72.2%	2	`x`
72.2%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
72.2%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
72.2%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

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

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.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
47.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
47.3%	1	`x`
47.3%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
47.3%	1	`(*.f64 x x)`
47.3%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.475633018351266e-7	10.96633595230892

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3678797529726883	21297.307863168717

Compiler

Compiled 10 to 10 computations (0% saved)

simplify82.0ms (1%)

Memory

2.6MiB live, 83.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	181
1	90	181
2	105	180
3	127	180
4	161	180
5	232	180
6	303	180
7	369	180
8	438	180
9	491	180
10	566	180
11	638	180
12	704	180
13	734	180
14	740	180

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 x)))
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (neg.f64 (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) (.f64 x x) (E.f64))) (.f64 x x) (E.f64)))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 x (.f64 (/.f64 x (E.f64)) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (E.f64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64)) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Outputs
(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (neg.f64 x)))
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (neg.f64 (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) (.f64 x x) (E.f64))) (.f64 x x) (E.f64)))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 4722366482869645/4722366482869645213696 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)) (E.f64)) (.f64 x x) (E.f64))) (.f64 x x) (E.f64)))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 x (.f64 (/.f64 x (E.f64)) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 (/.f64 x (E.f64)) (.f64 x x)) x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (E.f64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64)) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(if (<=.f64 (exp.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64)) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

soundness1.9s (21.9%)

Memory

-66.3MiB live, 651.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	973
1	292	907
2	927	834
3	3153	829
4	7754	829
0	8214	718
0	21	78
0	34	83
1	118	66
2	688	66
3	5455	66
0	8695	66
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16
0	33	179
0	54	161
1	215	153
2	1519	153
0	8290	151
0	111	1365
1	338	1326
2	926	1267
3	3262	1259
0	8646	1133
0	30	254
1	81	241
2	247	237
3	605	234
4	1328	234
5	2025	234
6	3122	234
7	5538	234
0	8219	211
0	31	157
0	54	143
1	231	134
2	1848	134
0	8405	129
0	67	1104
1	202	1071
2	691	1043
3	2666	1014
4	7215	1014
0	8048	911

Stop Event

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

Compiler

Compiled 401 to 256 computations (36.2% saved)

preprocess106.0ms (1.2%)

Memory: 19.3MiB live, 141.6MiB allocated
Remove: (abs x)
Compiler: Compiled 338 to 180 computations (46.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	67	181
1	90	181
2	105	180
3	127	180
4	161	180
5	232	180
6	303	180
7	369	180
8	438	180
9	491	180
10	566	180
11	638	180
12	704	180
13	734	180
14	740	180

Iter	Nodes	Cost
0	67	181
1	90	181
2	105	180
3	127	180
4	161	180
5	232	180
6	303	180
7	369	180
8	438	180
9	491	180
10	566	180
11	638	180
12	704	180
13	734	180
14	740	180

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (15.2%)

explain112.0ms (1.3%)

preprocess203.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify149.0ms (1.8%)

localize17.0ms (0.2%)

series17.0ms (0.2%)

simplify140.0ms (1.6%)

rewrite270.0ms (3.2%)

eval117.0ms (1.4%)

prune13.0ms (0.2%)

simplify367.0ms (4.3%)

localize57.0ms (0.7%)

series18.0ms (0.2%)

simplify286.0ms (3.4%)

rewrite246.0ms (2.9%)

eval187.0ms (2.2%)

prune60.0ms (0.7%)

simplify129.0ms (1.5%)

localize107.0ms (1.3%)

series15.0ms (0.2%)

simplify160.0ms (1.9%)

rewrite232.0ms (2.7%)

eval580.0ms (6.8%)

prune228.0ms (2.7%)

simplify163.0ms (1.9%)

localize170.0ms (2%)

series14.0ms (0.2%)

simplify300.0ms (3.5%)

rewrite212.0ms (2.5%)

eval218.0ms (2.6%)

prune45.0ms (0.5%)

regimes53.0ms (0.6%)

regimes42.0ms (0.5%)

regimes53.0ms (0.6%)

regimes32.0ms (0.4%)

regimes33.0ms (0.4%)

regimes21.0ms (0.2%)

regimes48.0ms (0.6%)

regimes36.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify82.0ms (1%)

soundness1.9s (21.9%)

preprocess106.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	67	181
1	90	181
2	105	180
3	127	180
4	161	180
5	232	180
6	303	180
7	369	180
8	438	180
9	491	180
10	566	180
11	638	180
12	704	180
13	734	180
14	740	180