Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (12.9%)

Memory

1.8MiB live, 1 165.8MiB allocated

Samples

880.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 599.0ms

ival-exp: 407.0ms (68% of total)

ival-sub: 70.0ms (11.7% of total)

ival-mult: 69.0ms (11.5% of total)

ival-neg: 38.0ms (6.3% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

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

Bogosity

explain143.0ms (1.7%)

Memory

21.2MiB live, 234.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 80 to 28 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-neg: 16.0ms (56.5% of total)

ival-exp: 5.0ms (17.7% of total)

ival-mult: 4.0ms (14.1% of total)

ival-sub: 3.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess211.0ms (2.4%)

Memory

-8.2MiB live, 379.7MiB 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 (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

1.1MiB live, 1.1MiB 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)

simplify142.0ms (1.6%)

Memory

9.6MiB live, 126.2MiB 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 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize322.0ms (3.7%)

Memory

-7.8MiB live, 30.2MiB 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	0.025232154760301943	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

316.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-exp: 2.0ms (28% of total)

ival-mult: 2.0ms (28% of total)

ival-sub: 1.0ms (14% of total)

ival-neg: 1.0ms (14% 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

4.9MiB live, 4.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (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))

simplify148.0ms (1.7%)

Memory

5.3MiB live, 202.9MiB 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	5644	234
0	8367	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
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(exp.f64 #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
(*.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)))
(.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)))
#s(literal 1 binary64)
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) x)
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) x)
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)

rewrite271.0ms (3.1%)

Memory

-3.6MiB live, 197.7MiB 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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval113.0ms (1.3%)

Memory: -3.0MiB live, 148.9MiB allocated
Compiler: Compiled 11 117 to 1 807 computations (83.7% saved)

prune30.0ms (0.3%)

Memory

-8.3MiB live, 29.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	544	4	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	545	4	549

Accuracy

100.0%

Counts

549 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	60.2%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	49.2%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify189.0ms (2.2%)

Memory

16.3MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	68
0	26	67
1	43	59
2	71	59
3	138	59
4	293	59
5	628	59
6	1540	59
7	2479	59
8	4696	59
9	7119	59
0	8577	59

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (1.1%)

Memory

-6.8MiB live, 107.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0	(E.f64)
accuracy	0.00390625	(pow.f64 (exp.f64 x) x)
accuracy	0.0078125	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.025232154760301943	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.025232154760301943	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	30.71098760726675	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.025232154760301943	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	33.31580291515965	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))

Samples

65.0ms

256×

valid

Compiler

Compiled 128 to 32 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 30.0ms (62.1% of total)

ival-exp: 6.0ms (12.4% of total)

ival-pow: 5.0ms (10.4% of total)

ival-div: 2.0ms (4.1% of total)

ival-e: 2.0ms (4.1% of total)

ival-add: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

11 → 120

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))
1.0ms	x	@	inf	((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))
1.0ms	x	@	-inf	((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify228.0ms (2.6%)

Memory

-40.8MiB live, 209.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	716
1	192	700
2	574	668
3	1289	660
4	1842	656
5	2357	656
6	3219	656
7	5188	656
8	7537	656
0	8099	562

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

rewrite261.0ms (3%)

Memory

16.4MiB live, 207.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	26	62
1	95	54
2	567	54
3	4659	54
0	8808	54

Stop Event

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

Counts

11 → 699

Calls

Call 1

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

Outputs
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eval123.0ms (1.4%)

Memory: -3.4MiB live, 272.8MiB allocated
Compiler: Compiled 11 025 to 1 491 computations (86.5% saved)

prune103.0ms (1.2%)

Memory

-11.3MiB live, 77.5MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	814	5	819
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	815	8	823

Accuracy

100.0%

Counts

823 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
▶	99.3%	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	76.6%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	49.2%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
▶	100.0%	(exp.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	60.2%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 110 to 81 computations (26.4% saved)

simplify140.0ms (1.6%)

Memory

21.2MiB live, 169.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) x)
cost-diff	1600	(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
cost-diff	6784	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(exp.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	384	(fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
cost-diff	0	(E.f64)
cost-diff	0	#s(approx (pow (exp x) x) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
cost-diff	0	(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)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	38	88
1	60	88
2	99	88
3	197	88
4	390	88
5	1420	85
6	5027	85
0	8367	85

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.1%)

Memory

-12.5MiB live, 131.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(E.f64)
accuracy	0.00390625	(pow.f64 (exp.f64 x) x)
accuracy	0.0078125	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
accuracy	1.0	(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.025232154760301943	(exp.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 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	14.946790301751225	#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	32.51843535334349	#s(approx (pow (exp x) x) #s(literal 1 binary64))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(E.f64)
accuracy	0.012976281620653759	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))

Samples

71.0ms

256×

valid

Compiler

Compiled 199 to 41 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-pow: 35.0ms (59.3% of total)

ival-exp: 7.0ms (11.9% of total)

ival-mult: 5.0ms (8.5% of total)

ival-div: 3.0ms (5.1% of total)

ival-add: 3.0ms (5.1% of total)

ival-e: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% 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

27.0MiB live, 27.0MiB allocated

Counts

15 → 156

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify139.0ms (1.6%)

Memory

-10.6MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1038
1	314	933
2	853	886
3	1667	876
4	2597	871
5	7575	871
0	8137	751

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 154

Calls

Call 1

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

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

rewrite202.0ms (2.3%)

Memory

-11.0MiB live, 439.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	90
0	38	75
1	151	72
2	1025	72
0	8679	72

Stop Event

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

Counts

15 → 1 351

Calls

Call 1

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

Outputs
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eval416.0ms (4.8%)

Memory: 34.1MiB live, 517.3MiB allocated
Compiler: Compiled 31 082 to 3 046 computations (90.2% saved)

prune35.0ms (0.4%)

Memory

-22.0MiB live, 102.5MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 794	5	1 799
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	1 795	12	1 807

Accuracy

100.0%

Counts

1 807 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
✓	99.3%	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	75.9%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	76.6%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	48.9%	(/.f64 #s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (E.f64))
▶	76.6%	(/.f64 #s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (E.f64))
▶	31.0%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	49.2%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
▶	76.6%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	60.2%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 229 to 154 computations (32.8% saved)

simplify273.0ms (3.2%)

Memory

24.5MiB live, 248.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (E.f64))
cost-diff	704	(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	1792	(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
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 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
cost-diff	0	#s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (E.f64))
cost-diff	1408	(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) 1) (*.f64 x x))
cost-diff	0	#s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
cost-diff	0	#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	30	273
0	48	209
1	73	205
2	148	201
3	389	201
4	2148	201
5	6477	201
0	8312	201

Stop Event

1×	iter limit
1×	node limit
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) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (E.f64))
#s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 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))) (*.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)
(/.f64 #s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (E.f64))
#s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(E.f64)

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

localize243.0ms (2.8%)

Memory

-46.8MiB live, 116.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 #s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) (E.f64))
accuracy	0.015625	(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	1.407934305200605	#s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
accuracy	30.99939453193781	(E.f64)
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	0.5	(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
accuracy	1.407934305200605	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	30.99939453193781	(E.f64)
accuracy	0.0234375	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
accuracy	0.0234375	(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
accuracy	1.407934305200605	#s(approx (pow (exp x) x) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
accuracy	30.99939453193781	(E.f64)
accuracy	0.0078125	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
accuracy	1.407934305200605	#s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))
accuracy	30.17756225161307	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	30.99939453193781	(E.f64)
accuracy	0	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.015625	(/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
accuracy	1.407934305200605	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	30.99939453193781	(E.f64)

Samples

162.0ms	128×	0	exit
23.0ms	128×	0	valid

Compiler

Compiled 458 to 54 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 82.0ms (76.7% of total)

ival-div: 10.0ms (9.4% of total)

ival-pow: 5.0ms (4.7% of total)

ival-add: 2.0ms (1.9% of total)

ival-exp: 2.0ms (1.9% of total)

ival-e: 2.0ms (1.9% of total)

ival-sqrt: 2.0ms (1.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

19 → 204

Calls

Call 1

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

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

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

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

simplify383.0ms (4.4%)

Memory

-10.5MiB live, 177.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1315
1	328	1273
2	1038	1229
3	3596	1213
0	8324	1065

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

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
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
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 (* -1 x))
(+ 1 (* x (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 1)))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(/ (exp (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)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
x
(* x (- 1 (/ 1 x)))
(* x (- (+ 1 (/ 2 (pow x 2))) (/ 1 x)))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (/ 1 x) (* 2 (/ 1 (pow x 3))))))
(/ (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))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ (exp (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))
(/ (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)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) x)) 1)))
(/ (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))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))
(exp (pow x 2))

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

rewrite634.0ms (7.3%)

Memory

27.5MiB live, 344.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	219
0	48	147
1	176	147
2	1267	147
0	8829	147

Stop Event

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

Counts

19 → 2 314

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

Outputs
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eval718.0ms (8.3%)

Memory: 63.9MiB live, 1 784.7MiB allocated
Compiler: Compiled 140 903 to 10 223 computations (92.7% saved)

prune170.0ms (2%)

Memory

-58.8MiB live, 285.8MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	4 395	3	4 398
Fresh	0	0	0
Picked	2	3	5
Done	0	7	7
Total	4 397	13	4 410

Accuracy

100.0%

Counts

4 410 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
✓	99.3%	(/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
✓	75.9%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	76.6%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
	82.2%	(/.f64 #s(approx (pow (exp x) x) (.f64 #s(approx (/ (+ ( x x) 1) (- x -1)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))) (E.f64))
✓	31.0%	(/.f64 #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	49.2%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
✓	76.6%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
	31.0%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) #s(approx (+ (* x x) 1) (*.f64 x x)))))
	48.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64)))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	60.2%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 393 to 189 computations (51.9% saved)

regimes43.0ms (0.5%)

Memory

10.3MiB live, 49.6MiB allocated

Counts

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

Outputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))

Calls

5 calls:

21.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
6.0ms	x
5.0ms	(*.f64 x x)
5.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
5.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
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)

regimes51.0ms (0.6%)

Memory

1.2MiB live, 43.6MiB allocated

Counts

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

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

Calls

5 calls:

32.0ms	(*.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)

regimes44.0ms (0.5%)

Memory

-15.0MiB live, 24.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	(*.f64 x x)
4.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) (*.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
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)

regimes26.0ms (0.3%)

Memory

-12.7MiB live, 24.4MiB allocated

Counts

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

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

Calls

5 calls:

10.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
4.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.4%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.4%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.4%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes18.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
82.2%	1	`x`
82.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
82.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
82.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
82.2%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes24.0ms (0.3%)

Memory

-14.1MiB live, 23.7MiB allocated

Counts

6 → 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)))))

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

Calls

5 calls:

14.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
76.6%	1	`x`
76.6%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
76.6%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
76.6%	1	`(*.f64 x x)`
76.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes7.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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
76.5%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
76.5%	2	`x`
76.5%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
76.5%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
76.5%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`x`
49.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
49.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
49.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
49.2%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.653463651543273e-10	2.394292561790877

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch56.0ms (0.6%)

Memory

-29.9MiB live, 12.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	3.653463651543273e-10	2.394292561790877

Samples

48.0ms

160×

valid

Compiler

Compiled 230 to 200 computations (13% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-exp: 43.0ms (95.3% of total)

ival-sub: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify23.0ms (0.3%)

Memory

24.9MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	127
1	61	127
2	77	127
3	86	127
4	93	127
5	95	127

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(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 4835703278458517/9671406556917033397649408 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64))))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(/.f64 #s(approx (pow (exp x) x) (.f64 #s(approx (/ (+ ( x x) 1) (- x -1)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64)) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Outputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(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 4835703278458517/9671406556917033397649408 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64))))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(/.f64 #s(approx (pow (exp x) x) (.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (/ (+ ( x x) 1) (- x -1)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64)) (/.f64 #s(approx (pow (exp x) x) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

soundness1.3s (15.3%)

Memory

2.3MiB live, 520.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	26	62
1	95	54
2	567	54
3	4659	54
0	8808	54
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16
0	30	254
1	81	241
2	247	237
3	605	234
4	1328	234
5	2025	234
6	3122	234
7	5644	234
0	8367	211
0	112	1315
1	328	1273
2	1038	1229
3	3596	1213
0	8324	1065
0	21	90
0	38	75
1	151	72
2	1025	72
0	8679	72
0	66	716
1	192	700
2	574	668
3	1289	660
4	1842	656
5	2357	656
6	3219	656
7	5188	656
8	7537	656
0	8099	562
0	101	1038
1	314	933
2	853	886
3	1667	876
4	2597	871
5	7575	871
0	8137	751

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

Compiler

Compiled 331 to 202 computations (39% saved)

preprocess60.0ms (0.7%)

Memory: -12.7MiB live, 106.3MiB allocated
Compiler: Compiled 292 to 132 computations (54.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (12.9%)

explain143.0ms (1.7%)

preprocess211.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify142.0ms (1.6%)

localize322.0ms (3.7%)

series3.0ms (0%)

simplify148.0ms (1.7%)

rewrite271.0ms (3.1%)

eval113.0ms (1.3%)

prune30.0ms (0.3%)

simplify189.0ms (2.2%)

localize91.0ms (1.1%)

series5.0ms (0.1%)

simplify228.0ms (2.6%)

rewrite261.0ms (3%)

eval123.0ms (1.4%)

prune103.0ms (1.2%)

simplify140.0ms (1.6%)

localize95.0ms (1.1%)

series7.0ms (0.1%)

simplify139.0ms (1.6%)

rewrite202.0ms (2.3%)

eval416.0ms (4.8%)

prune35.0ms (0.4%)

simplify273.0ms (3.2%)

localize243.0ms (2.8%)

series9.0ms (0.1%)

simplify383.0ms (4.4%)

rewrite634.0ms (7.3%)

eval718.0ms (8.3%)

prune170.0ms (2%)

regimes43.0ms (0.5%)

regimes51.0ms (0.6%)

regimes44.0ms (0.5%)

regimes26.0ms (0.3%)

regimes18.0ms (0.2%)

regimes24.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch56.0ms (0.6%)

simplify23.0ms (0.3%)

soundness1.3s (15.3%)

preprocess60.0ms (0.7%)

end0.0ms (0%)

Profiling