Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample920.0ms (12.5%)

Memory

14.9MiB live, 1 073.0MiB allocated

Samples

649.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-exp: 249.0ms (53.7% of total)

ival-mult: 109.0ms (23.5% of total)

ival-sub: 49.0ms (10.6% of total)

ival-neg: 42.0ms (9.1% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain99.0ms (1.4%)

Memory

-0.1MiB live, 161.7MiB 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

52.0ms

512×

valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-neg: 27.0ms (68.2% of total)

ival-exp: 5.0ms (12.6% of total)

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

ival-sub: 3.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess499.0ms (6.8%)

Memory

-9.4MiB live, 250.4MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify140.0ms (1.9%)

Memory

20.8MiB live, 171.1MiB 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

localize53.0ms (0.7%)

Memory

-23.3MiB live, 100.5MiB 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	0.0078125	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

47.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-exp: 20.0ms (49% of total)

ival-sub: 12.0ms (29.4% of total)

ival-mult: 7.0ms (17.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

10.6MiB live, 10.6MiB 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))

simplify162.0ms (2.2%)

Memory

-0.6MiB live, 200.4MiB 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)

rewrite185.0ms (2.5%)

Memory

14.7MiB live, 306.6MiB 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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eval74.0ms (1%)

Memory: 23.3MiB live, 177.6MiB allocated
Compiler: Compiled 10 865 to 1 802 computations (83.4% saved)

prune13.0ms (0.2%)

Memory

7.7MiB live, 44.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	543	5	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	544	5	549

Accuracy

100.0%

Counts

549 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))
▶	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	57.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	52.2%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 60 to 52 computations (13.3% saved)

simplify152.0ms (2.1%)

Memory

-46.5MiB live, 243.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 #s(literal -1 binary64))
cost-diff	384	(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))
cost-diff	6144	(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)))
cost-diff	7104	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))
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	(*.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	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	36	97
1	53	89
2	86	89
3	175	89
4	444	89
5	1196	89
6	4710	86
0	8166	86

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (0.9%)

Memory

22.9MiB live, 99.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)))
accuracy	0	(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))
accuracy	0	(exp.f64 #s(literal -1 binary64))
accuracy	0.01171875	(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))
accuracy	0	(pow.f64 (exp.f64 x) x)
accuracy	0	(exp.f64 x)
accuracy	0	(E.f64)
accuracy	0.0078125	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	32.071341963128454	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.0078125	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	31.305651162831793	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0078125	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 100 to 21 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-pow: 12.0ms (34.5% of total)

ival-exp: 8.0ms (23% of total)

ival-div: 3.0ms (8.6% of total)

ival-pow2: 3.0ms (8.6% of total)

ival-mult: 2.0ms (5.8% of total)

ival-e: 2.0ms (5.8% of total)

ival-add: 1.0ms (2.9% of total)

ival-sub: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

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

series12.0ms (0.2%)

Memory

-15.3MiB live, 21.9MiB allocated

Counts

15 → 156

Calls

Call 1

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

Outputs
#s(alt (exp -1) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp -1) (taylor 0 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 -1) (* (pow x 2) (exp -1))) (taylor 0 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 -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 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 -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 #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 -1 (taylor 0 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) (taylor 0 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) (taylor 0 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) (taylor 0 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 -1) (taylor 0 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 -1) (* (pow x 2) (exp -1))) (taylor 0 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 -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 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 -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 #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 -1 (taylor 0 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) (taylor 0 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) (taylor 0 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) (taylor 0 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 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 (/ 1 (E)) (taylor 0 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 (+ (/ 1 (E)) (/ (pow x 2) (E))) (taylor 0 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 (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) (taylor 0 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 (+ (* (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 (pow.f64 (exp.f64 x) x) (E.f64)) (patch (/.f64 (pow.f64 (exp.f64 x) x) (E.f64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (exp.f64 x) x) (patch (pow.f64 (exp.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 x) x) (patch (pow.f64 (exp.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 x) x) (patch (pow.f64 (exp.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 (pow.f64 (exp.f64 x) x) (patch (pow.f64 (exp.f64 x) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow (exp -1/2) 2) (taylor 0 x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (pow (exp -1/2) 2)) (pow (exp -1/2) 2)) (taylor 0 x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/2 (* (pow x 2) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2)) (taylor 0 x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (pow (exp -1/2) 2)) (* (pow x 2) (+ (* 1/24 (pow (exp -1/2) 2)) (* 1/8 (pow (exp -1/2) 2)))))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2)) (taylor 0 x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp -1/2) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1/2) (* 1/2 (* (pow x 2) (exp -1/2)))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1/2) (* (pow x 2) (+ (* 1/8 (* (pow x 2) (exp -1/2))) (* 1/2 (exp -1/2))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1/2) (* (pow x 2) (+ (* 1/2 (exp -1/2)) (* (pow x 2) (+ (* 1/48 (* (pow x 2) (exp -1/2))) (* 1/8 (exp -1/2))))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (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) 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)) (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>) () ())) ())
#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 (pow (exp (* 1/2 (- (pow x 2) 1))) 2) (taylor inf x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* 1/2 (- (pow x 2) 1))) 2) (taylor inf x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* 1/2 (- (pow x 2) 1))) 2) (taylor inf x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* 1/2 (- (pow x 2) 1))) 2) (taylor inf x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (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) 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)) (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>) () ())) ())
#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 (pow (exp (* 1/2 (- (pow x 2) 1))) 2) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* 1/2 (- (pow x 2) 1))) 2) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* 1/2 (- (pow x 2) 1))) 2) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp (* 1/2 (- (pow x 2) 1))) 2) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (patch (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E) (pow (pow (exp -1) (/ (+ (* x x) -1) -2)) 2) (pow (exp -1) (/ (+ (* x x) -1) -2)) (/ (+ (* x x) -1) -2) (exp -1))
1.0ms	x	@	inf	((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E) (pow (pow (exp -1) (/ (+ (* x x) -1) -2)) 2) (pow (exp -1) (/ (+ (* x x) -1) -2)) (/ (+ (* x x) -1) -2) (exp -1))
1.0ms	x	@	-inf	((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E) (pow (pow (exp -1) (/ (+ (* x x) -1) -2)) 2) (pow (exp -1) (/ (+ (* x x) -1) -2)) (/ (+ (* x x) -1) -2) (exp -1))

Time

Variable

Point

Expression

3.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify247.0ms (3.4%)

Memory

-6.5MiB live, 353.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1019
1	327	992
2	1059	943
3	2728	930
4	4485	925
5	5328	925
6	6529	925
0	8179	794

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
-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)
(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)
(/ 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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(pow (exp -1/2) 2)
(+ (* (pow x 2) (pow (exp -1/2) 2)) (pow (exp -1/2) 2))
(+ (* (pow x 2) (+ (* 1/2 (* (pow x 2) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (pow (exp -1/2) 2)) (* (pow x 2) (+ (* 1/24 (pow (exp -1/2) 2)) (* 1/8 (pow (exp -1/2) 2)))))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(exp -1/2)
(+ (exp -1/2) (* 1/2 (* (pow x 2) (exp -1/2))))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/8 (* (pow x 2) (exp -1/2))) (* 1/2 (exp -1/2)))))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/2 (exp -1/2)) (* (pow x 2) (+ (* 1/48 (* (pow x 2) (exp -1/2))) (* 1/8 (exp -1/2)))))))
1/2
(+ 1/2 (* -1/2 (pow x 2)))
(+ 1/2 (* -1/2 (pow x 2)))
(+ 1/2 (* -1/2 (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) 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)) (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 x)
(exp x)
(exp x)
(exp x)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(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) 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)) (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 x)
(exp x)
(exp x)
(exp x)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))

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) (+ (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)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (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)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (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)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (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)
(/ 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)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (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 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))))
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))
(pow (exp -1/2) 2)
(exp.f64 #s(literal -1 binary64))
(+ (* (pow x 2) (pow (exp -1/2) 2)) (pow (exp -1/2) 2))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (* (pow x 2) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(/.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) (+ (* 1/2 (pow (exp -1/2) 2)) (* (pow x 2) (+ (* 1/24 (pow (exp -1/2) 2)) (* 1/8 (pow (exp -1/2) 2)))))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (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 -1/2)
(exp.f64 #s(literal -1/2 binary64))
(+ (exp -1/2) (* 1/2 (* (pow x 2) (exp -1/2))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/8 (* (pow x 2) (exp -1/2))) (* 1/2 (exp -1/2)))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/2 (exp -1/2)) (* (pow x 2) (+ (* 1/48 (* (pow x 2) (exp -1/2))) (* 1/8 (exp -1/2)))))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 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))
(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)) (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 x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(* -1/2 (pow x 2))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 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))
(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))
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(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)) (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 x)
(exp.f64 x)
(exp x)
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(exp.f64 x)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(* -1/2 (pow x 2))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))

rewrite290.0ms (3.9%)

Memory

8.7MiB live, 199.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	91
0	36	84
1	128	74
2	745	73
3	7309	73
0	8597	73

Stop Event

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

Counts

15 → 1 061

Calls

Call 1

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

Outputs
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eval289.0ms (3.9%)

Memory: -11.0MiB live, 387.7MiB allocated
Compiler: Compiled 25 041 to 3 574 computations (85.7% saved)

prune81.0ms (1.1%)

Memory

8.4MiB live, 84.2MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 551	4	1 555
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 554	6	1 560

Accuracy

100.0%

Counts

1 560 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
▶	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
▶	78.5%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	52.2%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	57.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 36 to 32 computations (11.1% saved)

simplify179.0ms (2.4%)

Memory

13.6MiB live, 289.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	-320	(exp.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	7104	(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(E.f64)
cost-diff	64	(pow.f64 (E.f64) (fma.f64 x 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))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	28	83
1	47	83
2	72	82
3	169	82
4	555	80
5	2586	80
6	5958	80
0	8649	80

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1.3%)

Memory

2.7MiB live, 118.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.00390625	(exp.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.01171875	(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(E.f64)
accuracy	0.00390625	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(E.f64)
accuracy	0.0078125	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
accuracy	13.769503288315088	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0	(E.f64)
accuracy	0.0078125	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
accuracy	30.55177864905576	#s(approx (pow (exp x) x) #s(literal 1 binary64))

Samples

82.0ms

256×

valid

Compiler

Compiled 81 to 18 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-pow: 31.0ms (44.1% of total)

ival-div: 24.0ms (34.1% of total)

ival-exp: 5.0ms (7.1% of total)

ival-mult: 3.0ms (4.3% of total)

ival-pow2: 3.0ms (4.3% of total)

ival-add: 2.0ms (2.8% of total)

ival-e: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series12.0ms (0.2%)

Memory

-8.2MiB live, 24.3MiB allocated

Counts

11 → 120

Calls

Call 1

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

Outputs
#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 (E)) (taylor 0 x) (#s(alt (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) (patch (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E))) (taylor 0 x) (#s(alt (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) (patch (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E))) (taylor 0 x) (#s(alt (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) (patch (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (* (pow x 2) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E))) (taylor 0 x) (#s(alt (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) (patch (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (exp -1/2) 2) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (pow (exp -1/2) 2)) (pow (exp -1/2) 2)) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/2 (* (pow x 2) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2)) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (pow (exp -1/2) 2)) (* (pow x 2) (+ (* 1/24 (pow (exp -1/2) 2)) (* 1/8 (pow (exp -1/2) 2)))))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2)) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp -1/2) (taylor 0 x) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/2 (- (pow x 2) 1))) (taylor -inf x) (#s(alt (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify285.0ms (3.9%)

Memory

-15.1MiB live, 272.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	868
1	347	837
2	1082	791
3	2624	780
4	4438	776
5	6032	776
0	8130	667

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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)))
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 (E))
(+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (* (pow x 2) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E)))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow (exp -1/2) 2)
(+ (* (pow x 2) (pow (exp -1/2) 2)) (pow (exp -1/2) 2))
(+ (* (pow x 2) (+ (* 1/2 (* (pow x 2) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/2 (pow (exp -1/2) 2)) (* (pow x 2) (+ (* 1/24 (pow (exp -1/2) 2)) (* 1/8 (pow (exp -1/2) 2)))))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
-1/2
(- (* 1/2 (pow x 2)) 1/2)
(- (* 1/2 (pow x 2)) 1/2)
(- (* 1/2 (pow x 2)) 1/2)
(exp -1/2)
(+ (exp -1/2) (* 1/2 (* (pow x 2) (exp -1/2))))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/8 (* (pow x 2) (exp -1/2))) (* 1/2 (exp -1/2)))))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/2 (exp -1/2)) (* (pow x 2) (+ (* 1/48 (* (pow x 2) (exp -1/2))) (* 1/8 (exp -1/2)))))))
(/ (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 (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 (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (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 (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 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))))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp (* (log (E)) (- (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 (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))
(exp (* 1/2 (- (pow x 2) 1)))

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 (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)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #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) (+ 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 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #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 (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)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #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) (+ 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 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #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) (log (E))) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (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) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow (exp -1/2) 2)
(exp.f64 #s(literal -1 binary64))
(+ (* (pow x 2) (pow (exp -1/2) 2)) (pow (exp -1/2) 2))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (* (pow x 2) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(/.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) (+ (* 1/2 (pow (exp -1/2) 2)) (* (pow x 2) (+ (* 1/24 (pow (exp -1/2) 2)) (* 1/8 (pow (exp -1/2) 2)))))) (pow (exp -1/2) 2))) (pow (exp -1/2) 2))
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (pow x 2)) 1/2)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(- (* 1/2 (pow x 2)) 1/2)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(- (* 1/2 (pow x 2)) 1/2)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(exp -1/2)
(exp.f64 #s(literal -1/2 binary64))
(+ (exp -1/2) (* 1/2 (* (pow x 2) (exp -1/2))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/8 (* (pow x 2) (exp -1/2))) (* 1/2 (exp -1/2)))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(+ (exp -1/2) (* (pow x 2) (+ (* 1/2 (exp -1/2)) (* (pow x 2) (+ (* 1/48 (* (pow x 2) (exp -1/2))) (* 1/8 (exp -1/2)))))))
(.f64 (exp.f64 #s(literal -1/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.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 (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 (* (log (E)) (- (pow x 2) 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (log (E)) (- (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 (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (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)) (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))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (log (E)) (- (pow x 2) 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (log (E)) (- (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 (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow (exp (* 1/2 (- (pow x 2) 1))) 2)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp (* 1/2 (- (pow x 2) 1)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))

rewrite188.0ms (2.5%)

Memory

43.8MiB live, 265.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	71
0	28	68
1	119	66
2	677	65
3	7072	65
0	8122	65

Stop Event

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

Counts

11 → 1 299

Calls

Call 1

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

Outputs
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eval449.0ms (6.1%)

Memory: 9.1MiB live, 956.8MiB allocated
Compiler: Compiled 39 849 to 5 457 computations (86.3% saved)

prune73.0ms (1%)

Memory

-14.9MiB live, 147.3MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	2 181	3	2 184
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	2 181	9	2 190

Accuracy

100.0%

Counts

2 190 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
✓	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
▶	77.7%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	78.5%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	29.5%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	52.2%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
▶	78.5%	(/.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)))
✓	57.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 63 to 53 computations (15.9% saved)

simplify6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
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	(*.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	#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)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	119
0	27	113
1	37	111
2	50	109
3	60	109
4	91	109
5	98	109
6	103	109
7	109	109
8	116	109
9	120	109
0	120	109

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.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) #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(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)

Outputs
(/.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) #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(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)

localize54.0ms (0.7%)

Memory

-0.3MiB live, 116.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.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	0.3057136268452484	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.515625	(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
accuracy	30.03066345281475	(E.f64)
accuracy	0.0078125	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
accuracy	0.3057136268452484	#s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	30.03066345281475	(E.f64)
accuracy	31.606500967478606	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	0.00390625	(/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.3057136268452484	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	30.03066345281475	(E.f64)

Samples

23.0ms	132×	0	valid
19.0ms	124×	0	exit

Compiler

Compiled 77 to 15 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-pow: 11.0ms (38.3% of total)

ival-div: 7.0ms (24.4% of total)

ival-mult: 3.0ms (10.4% of total)

ival-exp: 2.0ms (7% of total)

ival-e: 2.0ms (7% of total)

ival-sqrt: 2.0ms (7% of total)

ival-add: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

-18.2MiB live, 20.8MiB allocated

Counts

11 → 108

Calls

Call 1

Inputs
#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 (E.f64) (patch (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 (/.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 x x) (patch (.f64 x x) #<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>) () ())

Outputs
#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) #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>) () ())) ())
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#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) (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)) (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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

simplify195.0ms (2.6%)

Memory

6.3MiB live, 268.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	700
1	197	679
2	688	657
3	2654	638
4	7138	638
0	8080	563

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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)))
(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 (* 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (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))
(/ (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))
(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)
(pow x 2)
(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))
(/ (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))
(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)
(pow x 2)
(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))))

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)))
(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) (+ 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x 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))
(+ (* (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))
(/ (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)))
(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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.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)))
(/ (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)))
(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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.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))

rewrite122.0ms (1.7%)

Memory

2.5MiB live, 119.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	97
0	27	87
1	96	87
2	500	87
3	3581	87
0	8288	87

Stop Event

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

Counts

11 → 671

Calls

Call 1

Inputs
(/.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))))
(E.f64)
#s(approx (pow (exp x) x) (fma.f64 x x #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)
(*.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))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval259.0ms (3.5%)

Memory: 7.9MiB live, 242.4MiB allocated
Compiler: Compiled 17 837 to 2 500 computations (86% saved)

prune77.0ms (1.1%)

Memory

7.0MiB live, 79.8MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1 256	7	1 263
Fresh	0	0	0
Picked	2	1	3
Done	1	5	6
Total	1 259	13	1 272

Accuracy

100.0%

Counts

1 272 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
	78.5%	(/.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
✓	78.5%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
✓	29.5%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	52.2%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
	29.5%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
	78.5%	(/.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))))
	77.7%	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
	51.9%	(/.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))))
	51.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))))
	78.5%	(*.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	57.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 327 to 167 computations (48.9% saved)

regimes109.0ms (1.5%)

Memory

-7.0MiB live, 39.0MiB allocated

Counts

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

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

Calls

5 calls:

87.0ms	(*.f64 x x)
6.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
5.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
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)

regimes92.0ms (1.2%)

Memory

3.9MiB live, 40.2MiB allocated

Counts

15 → 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 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) #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))) (*.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))))
(*.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
(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)))

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

Calls

5 calls:

73.0ms	(*.f64 x x)
5.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
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 (0.7%)

Memory

-3.8MiB live, 34.6MiB allocated

Counts

14 → 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 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) #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))) (*.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))))
(*.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
(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:

36.0ms	(*.f64 x x)
5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
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)

regimes25.0ms (0.3%)

Memory

-3.0MiB live, 35.0MiB 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 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 #s(literal -1 binary64) #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))) (*.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))))
(*.f64 (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) (sqrt.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

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

Calls

5 calls:

9.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
78.5%	1	`x`
78.5%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
78.5%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
78.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
78.5%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB 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(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Calls

5 calls:

2.0ms	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
78.1%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
78.1%	2	`x`
78.1%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
78.1%	2	`(*.f64 x x)`
78.1%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes135.0ms (1.8%)

Memory

-24.8MiB live, 27.6MiB 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:

130.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
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)))

Results

Accuracy	Segments	Branch
52.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
52.2%	1	`x`
52.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
52.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
52.2%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.704520925709847e-5	7.660459919359784

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.660459919359784	0.999932954790743

Compiler

Compiled 10 to 10 computations (0% saved)

simplify140.0ms (1.9%)

Memory

-0.6MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	107
1	56	107
2	64	107
3	69	107
4	71	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 7378697629483821/73786976294838206464 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))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -5 binary64)) (/.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)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Outputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 7378697629483821/73786976294838206464 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 7378697629483821/73786976294838206464 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))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -5 binary64)) (/.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)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

soundness1.5s (19.9%)

Memory

53.9MiB live, 936.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	868
1	347	837
2	1082	791
3	2624	780
4	4438	776
5	6032	776
0	8130	667
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	18	71
0	28	68
1	119	66
2	677	65
3	7072	65
0	8122	65
0	23	91
0	36	84
1	128	74
2	745	73
3	7309	73
0	8597	73
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16
0	63	700
1	197	679
2	688	657
3	2654	638
4	7138	638
0	8080	563
0	111	1019
1	327	992
2	1059	943
3	2728	930
4	4485	925
5	5328	925
6	6529	925
0	8179	794

Stop Event

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

Compiler

Compiled 212 to 143 computations (32.5% saved)

preprocess47.0ms (0.6%)

Memory: 2.0MiB live, 157.1MiB allocated
Remove: (abs x)
Compiler: Compiled 174 to 92 computations (47.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	119
0	27	113
1	37	111
2	50	109
3	60	109
4	91	109
5	98	109
6	103	109
7	109	109
8	116	109
9	120	109
0	120	109

Iter	Nodes	Cost
0	18	119
0	27	113
1	37	111
2	50	109
3	60	109
4	91	109
5	98	109
6	103	109
7	109	109
8	116	109
9	120	109
0	120	109

start0.0ms (0%)

analyze0.0ms (0%)

sample920.0ms (12.5%)

explain99.0ms (1.4%)

preprocess499.0ms (6.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify140.0ms (1.9%)

localize53.0ms (0.7%)

series3.0ms (0%)

simplify162.0ms (2.2%)

rewrite185.0ms (2.5%)

eval74.0ms (1%)

prune13.0ms (0.2%)

simplify152.0ms (2.1%)

localize67.0ms (0.9%)

series12.0ms (0.2%)

simplify247.0ms (3.4%)

rewrite290.0ms (3.9%)

eval289.0ms (3.9%)

prune81.0ms (1.1%)

simplify179.0ms (2.4%)

localize94.0ms (1.3%)

series12.0ms (0.2%)

simplify285.0ms (3.9%)

rewrite188.0ms (2.5%)

eval449.0ms (6.1%)

prune73.0ms (1%)

simplify6.0ms (0.1%)

localize54.0ms (0.7%)

series7.0ms (0.1%)

simplify195.0ms (2.6%)

rewrite122.0ms (1.7%)

eval259.0ms (3.5%)

prune77.0ms (1.1%)

regimes109.0ms (1.5%)

regimes92.0ms (1.2%)

regimes53.0ms (0.7%)

regimes25.0ms (0.3%)

regimes7.0ms (0.1%)

regimes135.0ms (1.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify140.0ms (1.9%)

soundness1.5s (19.9%)

preprocess47.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	119
0	27	113
1	37	111
2	50	109
3	60	109
4	91	109
5	98	109
6	103	109
7	109	109
8	116	109
9	120	109
0	120	109