Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample922.0ms (23.2%)

Memory

1.1MiB live, 1 175.5MiB allocated

Samples

624.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 431.0ms

ival-mult: 236.0ms (54.7% of total)

ival-exp: 86.0ms (19.9% of total)

ival-sub: 62.0ms (14.4% of total)

ival-neg: 35.0ms (8.1% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain270.0ms (6.8%)

Memory

-27.8MiB live, 124.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

221.0ms

512×

valid

Compiler

Compiled 80 to 28 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-exp: 4.0ms (28.1% of total)

ival-mult: 4.0ms (28.1% of total)

ival-sub: 3.0ms (21.1% of total)

ival-neg: 2.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

preprocess196.0ms (4.9%)

Memory

38.1MiB live, 193.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	30	13
2	78	13
3	160	13
4	286	13
5	416	13
6	654	13
7	1003	13
8	1665	13
9	3084	13
10	6337	13
0	6	7
0	10	7
1	22	6
2	55	6
3	110	6
4	197	6
5	300	6
6	479	6
7	806	6
8	1310	6
9	2148	6
10	4361	6
11	7467	6
0	8154	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify141.0ms (3.5%)

Memory

-2.5MiB live, 192.0MiB 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	55	21
3	110	21
4	197	21
5	300	21
6	479	21
7	806	21
8	1310	21
9	2148	21
10	4361	21
11	7467	21
0	8154	19

Stop Event

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

Calls

Call 1

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

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

localize21.0ms (0.5%)

Memory

5.7MiB live, 41.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.00390625	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

16.0ms

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 (29.4% of total)

ival-mult: 2.0ms (29.4% of total)

ival-sub: 1.0ms (14.7% of total)

ival-neg: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

4 → 13

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

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))

simplify183.0ms (4.6%)

Memory

-15.0MiB live, 142.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	92
1	81	86
2	247	82
3	609	79
4	1321	79
5	2019	79
6	3188	79
7	5672	79
0	8234	70

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite299.0ms (7.5%)

Memory

9.2MiB live, 254.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	37	19
2	231	19
3	1932	19
0	9322	16

Stop Event

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

Counts

4 → 500

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
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(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))) (/.f64 (.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) x))))
(-.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) x)))
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x))) (log.f64 (E.f64)))
(+.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) x)
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(.f64 x (.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval126.0ms (3.2%)

Memory: -20.2MiB live, 132.3MiB allocated
Compiler: Compiled 10 671 to 1 805 computations (83.1% saved)

prune8.0ms (0.2%)

Memory

32.1MiB live, 32.1MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	508	3	511
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	509	3	512

Accuracy

100.0%

Counts

512 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	53.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
▶	76.7%	#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))

Status

Accuracy

Program

▶

100.0%

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

▶

53.9%

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

▶

76.7%

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

Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify130.0ms (3.3%)

Memory

-2.9MiB live, 107.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
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	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
cost-diff	0	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
cost-diff	0	(exp.f64 #s(literal -1 binary64))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
cost-diff	6016	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	60
0	21	60
1	40	54
2	87	54
3	167	54
4	366	52
5	811	52
6	1920	52
7	2917	52
8	5397	52
0	8333	52

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (3.5%)

Memory

-16.3MiB live, 96.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.00390625	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.00390625	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	30.188613454278443	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0	(exp.f64 #s(literal -1 binary64))
accuracy	0.2640195278559555	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))
accuracy	15.115671576717364	#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))

Samples

107.0ms

256×

valid

Compiler

Compiled 114 to 30 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-exp: 90.0ms (91.3% of total)

ival-mult: 4.0ms (4.1% of total)

ival-add: 2.0ms (2% of total)

ival-sub: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

8 → 14

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

0.0ms

-inf

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

simplify449.0ms (11.3%)

Memory

15.6MiB live, 190.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	100
1	93	96
2	265	92
3	811	89
4	1372	89
5	2800	89
6	4878	89
7	5807	89
0	8020	77

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

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

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

rewrite388.0ms (9.8%)

Memory

2.0MiB live, 161.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	21	54
1	72	48
2	451	48
3	4820	48
0	9023	48

Stop Event

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

Counts

8 → 939

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #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 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x)) (.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) (exp.f64 #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (.f64 (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x))) (-.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) (-.f64 (.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (.f64 (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) (exp.f64 #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x)) (.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) x) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) x) x (exp.f64 #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) #s(literal 1 binary64) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x x) (exp.f64 #s(literal -1 binary64)))
(fma.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64) (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) (exp.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x))
(fma.f64 x (*.f64 x (exp.f64 #s(literal -1 binary64))) (exp.f64 #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x) (exp.f64 #s(literal -1 binary64)))
(+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 (exp.f64 #s(literal -1 binary64)) x) x))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (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)))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
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(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal -1 binary64) (*.f64 x x))

eval238.0ms (6%)

Memory: 4.1MiB live, 163.6MiB allocated
Compiler: Compiled 23 986 to 2 846 computations (88.1% saved)

prune19.0ms (0.5%)

Memory

-29.9MiB live, 52.4MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	949	0	949
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	949	3	952

Accuracy

100.0%

Counts

952 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

53.9%

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

✓

76.7%

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes9.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes6.0ms (0.2%)

Memory

-25.5MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
53.9%	1	`x`
53.9%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
53.9%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
53.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
53.9%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify66.0ms (1.7%)

Memory

19.1MiB live, 56.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	43	13
3	91	13
4	178	13
5	338	13
6	1230	13
7	3886	13
8	5954	13

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness312.0ms (7.9%)

Memory

-17.4MiB live, 182.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	37	19
2	231	19
3	1932	19
0	9322	16
0	30	92
1	81	86
2	247	82
3	609	79
4	1321	79
5	2019	79
6	3188	79
7	5672	79
0	8234	70

Stop Event

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

preprocess50.0ms (1.3%)

Memory: 5.9MiB live, 80.9MiB allocated
Remove: (abs x)
Compiler: Compiled 52 to 40 computations (23.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample922.0ms (23.2%)

explain270.0ms (6.8%)

preprocess196.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify141.0ms (3.5%)

localize21.0ms (0.5%)

series2.0ms (0.1%)

simplify183.0ms (4.6%)

rewrite299.0ms (7.5%)

eval126.0ms (3.2%)

prune8.0ms (0.2%)

simplify130.0ms (3.3%)

localize138.0ms (3.5%)

series2.0ms (0%)

simplify449.0ms (11.3%)

rewrite388.0ms (9.8%)

eval238.0ms (6%)

prune19.0ms (0.5%)

regimes9.0ms (0.2%)

regimes6.0ms (0.2%)

simplify66.0ms (1.7%)

soundness312.0ms (7.9%)

preprocess50.0ms (1.3%)

end0.0ms (0%)

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