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 (14.7%)

Memory

-25.5MiB live, 1 187.0MiB allocated

Samples

606.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-mult: 135.0ms (44.5% of total)

ival-exp: 73.0ms (24.1% of total)

ival-sub: 44.0ms (14.5% of total)

ival-neg: 37.0ms (12.2% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain82.0ms (1.1%)

Memory

-0.4MiB live, 172.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	2	(-9.076564570835805)	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	2
-	0	254

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	2	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

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 (28.2% of total)

ival-mult: 4.0ms (28.2% of total)

ival-sub: 2.0ms (14.1% of total)

ival-neg: 2.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess253.0ms (3.3%)

Memory

-2.3MiB live, 153.1MiB 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify160.0ms (2.1%)

Memory

13.7MiB live, 132.5MiB 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

localize41.0ms (0.5%)

Memory

-20.0MiB live, 16.5MiB 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	0.04037261857302314	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

36.0ms

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 (29.5% of total)

ival-mult: 2.0ms (29.5% of total)

ival-sub: 1.0ms (14.8% of total)

ival-neg: 1.0ms (14.8% 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

1.7MiB live, 1.7MiB 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))

simplify185.0ms (2.4%)

Memory

2.5MiB live, 192.0MiB 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))

rewrite182.0ms (2.4%)

Memory

12.7MiB live, 298.6MiB 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)))
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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)))

eval150.0ms (2%)

Memory: 16.8MiB live, 208.9MiB allocated
Compiler: Compiled 10 671 to 1 805 computations (83.1% saved)

prune11.0ms (0.1%)

Memory

-13.6MiB live, 30.6MiB 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%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	50.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 20 to 17 computations (15% saved)

simplify178.0ms (2.3%)

Memory

-9.1MiB live, 193.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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	#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	14	43
0	21	42
1	38	38
2	70	38
3	137	38
4	300	38
5	645	38
6	1583	38
7	2402	38
8	4637	38
9	7060	38
0	8518	38

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

localize70.0ms (0.9%)

Memory

7.6MiB live, 86.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0	(E.f64)
accuracy	0.01171875	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
accuracy	0.014003759768442016	(pow.f64 (exp.f64 x) x)
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.04037261857302314	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.04037261857302314	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	32.39612098328089	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))

Samples

62.0ms

256×

valid

Compiler

Compiled 86 to 29 computations (66.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-pow: 31.0ms (58.1% of total)

ival-mult: 10.0ms (18.7% of total)

ival-exp: 6.0ms (11.2% of total)

ival-div: 2.0ms (3.7% of total)

ival-e: 2.0ms (3.7% of total)

ival-add: 1.0ms (1.9% of total)

ival-sub: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

8 → 23

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

simplify186.0ms (2.4%)

Memory

-16.3MiB live, 138.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	205
1	192	197
2	574	179
3	1292	175
4	1847	173
5	2370	173
6	3232	173
7	5206	173
8	7549	173
0	8111	146

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

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

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

rewrite216.0ms (2.8%)

Memory

-3.4MiB live, 237.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	21	38
1	90	34
2	565	34
3	4676	34
0	8817	34

Stop Event

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

Counts

8 → 675

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 (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
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (exp.f64 #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 (exp.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -2/3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -1/3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (E.f64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) x))) (/.f64 #s(literal -1 binary64) (E.f64)))
(.f64 (pow.f64 (.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (cbrt.f64 (E.f64)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (E.f64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (sqrt.f64 (E.f64)))) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (E.f64)))
(.f64 (pow.f64 (E.f64) (-.f64 (.f64 x x) #s(literal 1/3 binary64))) (exp.f64 #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (cbrt.f64 (E.f64)))))
(*.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 (E.f64) (fma.f64 x x #s(literal -1/2 binary64))))
(.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (E.f64) (-.f64 (.f64 x x) #s(literal 1/3 binary64))))
(.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (pow.f64 (E.f64) (-.f64 #s(literal 1/3 binary64) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (E.f64) (exp.f64 x)) #s(literal -1 binary64)) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) x))
(.f64 (pow.f64 (.f64 (E.f64) (exp.f64 x)) x) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (E.f64) (fma.f64 x x #s(literal -1/2 binary64))) (exp.f64 #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (exp.f64 #s(literal -2/3 binary64))) (exp.f64 #s(literal -1/3 binary64)))
(.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 #s(literal -1 binary64) (E.f64))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (E.f64))))
(.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/4 binary64)) (exp.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -2/3 binary64))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -2/3 binary64))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -1/3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (E.f64)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 #s(literal -1 binary64) (E.f64))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (E.f64)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (exp.f64 x) x))
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 #s(literal -1 binary64) (E.f64)))
(*.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (.f64 (.f64 (E.f64) (exp.f64 x)) (*.f64 (E.f64) (exp.f64 x))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.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 -2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 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)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.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 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 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)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.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)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 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)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.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)))
(pow.f64 (pow.f64 (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)))
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(pow.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 1/4 binary64) (.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (neg.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) x)
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 x) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (neg.f64 x)))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 x) x)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (exp.f64 x) x)))
(exp.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) x)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))) (sqrt.f64 (E.f64)))
(*.f64 (neg.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (cbrt.f64 (E.f64)))
(*.f64 (/.f64 (E.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))) (exp.f64 #s(literal 1/9 binary64)))
(*.f64 (exp.f64 #s(literal 5/6 binary64)) (exp.f64 #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (E.f64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (E.f64)) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (E.f64)) #s(literal 1/3 binary64))
(*.f64 (neg.f64 (sqrt.f64 (E.f64))) (neg.f64 (sqrt.f64 (E.f64))))
(*.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (E.f64))))
(*.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (exp.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)))))
(*.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (E.f64) #s(literal 3/4 binary64)))
(*.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 5/6 binary64)))))
(*.f64 (exp.f64 #s(literal 1/6 binary64)) (exp.f64 #s(literal 5/6 binary64)))
(*.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (exp.f64 (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))))))
(.f64 (exp.f64 #s(literal 2/9 binary64)) (.f64 (exp.f64 #s(literal 1/9 binary64)) (exp.f64 #s(literal 2/3 binary64))))
(*.f64 (sqrt.f64 (E.f64)) (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (sqrt.f64 (E.f64)) (/.f64 (sqrt.f64 (E.f64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (E.f64)))))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (E.f64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (E.f64)))))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (cbrt.f64 (E.f64)))
(*.f64 (cbrt.f64 (E.f64)) (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (E.f64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal 2/3 binary64)))
(*.f64 (E.f64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (E.f64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(pow.f64 (E.f64) #s(literal 1 binary64))
(/.f64 (neg.f64 (E.f64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (E.f64)) (exp.f64 #s(literal -1/2 binary64)))
(/.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal -2/3 binary64)))
(/.f64 (E.f64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -1 binary64)))
(neg.f64 (neg.f64 (E.f64)))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))) (sqrt.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (cbrt.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (E.f64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))) (exp.f64 #s(literal 1/9 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 5/6 binary64)) (exp.f64 #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (E.f64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (E.f64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) (E.f64)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (E.f64))) (neg.f64 (sqrt.f64 (E.f64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (E.f64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (exp.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (E.f64) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 5/6 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/6 binary64)) (exp.f64 #s(literal 5/6 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (exp.f64 (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/9 binary64)) (*.f64 (exp.f64 #s(literal 1/9 binary64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (E.f64)) (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (E.f64)) (/.f64 (sqrt.f64 (E.f64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (E.f64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (E.f64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (E.f64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (cbrt.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (E.f64)) (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (E.f64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal 2/3 binary64)) #s(literal 0 binary64))
(fma.f64 (E.f64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (E.f64) #s(literal 0 binary64))
(cbrt.f64 (exp.f64 #s(literal 3 binary64)))
(sqrt.f64 (exp.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (E.f64)))
(fabs.f64 (E.f64))
(exp.f64 #s(literal 1 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (E.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (E.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (E.f64) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (E.f64) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (E.f64))) (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (E.f64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (E.f64))) (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (E.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (E.f64))) (log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (E.f64))))
(+.f64 #s(literal 0 binary64) (E.f64))
(+.f64 (E.f64) #s(literal 0 binary64))
(log.f64 (exp.f64 (E.f64)))
(E.f64)

eval88.0ms (1.2%)

Memory: -2.0MiB live, 167.7MiB allocated
Compiler: Compiled 7 163 to 1 408 computations (80.3% saved)

prune27.0ms (0.3%)

Memory

-3.8MiB live, 35.1MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	522	9	531
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	523	11	534

Accuracy

100.0%

Counts

534 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	100.0%	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))
	100.0%	(/.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) #s(literal 2 binary64)) (E.f64))
	99.9%	(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
✓	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	99.9%	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
	71.9%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	50.6%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
✓	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
	99.9%	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	58.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 171 to 137 computations (19.9% saved)

simplify181.0ms (2.4%)

Memory

22.2MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	-512	(exp.f64 (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	6976	(pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
cost-diff	-6144	(exp.f64 (*.f64 x x))
cost-diff	0	(E.f64)
cost-diff	0	(*.f64 x x)
cost-diff	6784	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
cost-diff	0	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
cost-diff	0	(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	(exp.f64 x)
cost-diff	256	(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x))
cost-diff	6336	(pow.f64 (exp.f64 x) #s(literal -1 binary64))
cost-diff	6784	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	103
0	40	110
1	58	102
2	87	102
3	123	92
4	213	92
5	418	92
6	894	92
7	1629	92
8	2461	92
9	3517	92
10	4281	92
11	5760	92
12	6734	92
13	7208	92
0	8657	87

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (1.9%)

Memory

-14.4MiB live, 145.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(exp.f64 (-.f64 x #s(literal 1 binary64)))
accuracy	0.024101269536884032	(pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
accuracy	0.036050073009749536	(exp.f64 (*.f64 x x))
accuracy	30.272846222595515	(E.f64)
accuracy	0.0	(*.f64 x x)
accuracy	0.04037261857302314	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	31.52505724257038	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.01171875	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
accuracy	1.3629044750948276	#s(approx (pow (exp x) x) #s(literal 1 binary64))
accuracy	30.272846222595515	(E.f64)
accuracy	0.0078125	(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x))
accuracy	0.01171875	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))
accuracy	0.015625	(pow.f64 (exp.f64 x) #s(literal -1 binary64))
accuracy	30.272846222595515	(E.f64)

Samples

57.0ms	125×	1	exit
25.0ms	131×	0	valid

Compiler

Compiled 196 to 49 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-pow: 38.0ms (57.6% of total)

ival-exp: 8.0ms (12.1% of total)

adjust: 6.0ms (9.1% of total)

ival-div: 4.0ms (6.1% of total)

ival-mult: 2.0ms (3% of total)

ival-e: 2.0ms (3% of total)

ival-sub: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

ival-add: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

16 → 41

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

simplify326.0ms (4.3%)

Memory

-24.6MiB live, 267.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	352
1	332	305
2	923	284
3	3043	278
4	7365	278
0	8353	238

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

Calls

Call 1

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

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

rewrite229.0ms (3%)

Memory

31.0MiB live, 184.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	89
0	40	96
1	152	78
2	938	78
0	8762	73

Stop Event

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

Counts

16 → 937

Calls

Call 1

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

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

eval284.0ms (3.7%)

Memory: -20.0MiB live, 214.2MiB allocated
Compiler: Compiled 14 011 to 2 331 computations (83.4% saved)

prune33.0ms (0.4%)

Memory

-4.4MiB live, 42.4MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	837	3	840
Fresh	2	2	4
Picked	2	3	5
Done	1	1	2
Total	842	9	851

Accuracy

100.0%

Counts

851 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
▶	99.9%	(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
▶	100.0%	(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
✓	99.9%	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
▶	71.9%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
✓	50.6%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
✓	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	99.9%	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	58.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 126 to 100 computations (20.6% saved)

simplify292.0ms (3.8%)

Memory

36.5MiB live, 112.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	-128	(exp.f64 (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	6592	(pow.f64 (exp.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	(sqrt.f64 (E.f64))
cost-diff	0	(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
cost-diff	0	(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
cost-diff	320	(*.f64 (-.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 (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	256	(pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
cost-diff	6784	(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	129
0	47	127
1	75	127
2	112	127
3	175	127
4	382	125
5	757	125
6	1808	125
7	5066	113
8	7348	113
0	8105	109

Stop Event

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

Calls

Call 1

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

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

localize339.0ms (4.5%)

Memory

-38.4MiB live, 50.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	(-.f64 x #s(literal -1 binary64))
accuracy	0.0078125	(pow.f64 (exp.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
accuracy	0.015625	(exp.f64 (-.f64 x #s(literal -1 binary64)))
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (.f64 x x))
accuracy	0.01171875	(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
accuracy	0.03268094614939772	(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
accuracy	30.272846222595515	(E.f64)
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy	0.04037261857302314	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
accuracy	1.1983911874716102	#s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))
accuracy	30.272846222595515	(E.f64)
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0078125	(pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
accuracy	0.01171875	(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
accuracy	30.272846222595515	(E.f64)

Samples

280.0ms	131×	0	valid
41.0ms	125×	1	exit

Compiler

Compiled 251 to 57 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-sqrt: 201.0ms (65.9% of total)

ival-neg: 40.0ms (13.1% of total)

ival-pow: 33.0ms (10.8% of total)

ival-exp: 8.0ms (2.6% of total)

adjust: 7.0ms (2.3% of total)

ival-div: 4.0ms (1.3% of total)

ival-mult: 4.0ms (1.3% of total)

ival-add: 2.0ms (0.7% of total)

ival-e: 2.0ms (0.7% of total)

ival-sub: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

19 → 50

Calls

Call 1

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

Outputs
(/ 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 (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
-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)))))))
(- x 1)
(+ 1 x)
(+ (* 2 (/ (* (pow x 2) (log (sqrt (E)))) (E))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 2 (/ (log (sqrt (E))) (E))) (* 2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (E))))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 2 (/ (log (sqrt (E))) (E))) (* (pow x 2) (+ (* 4/3 (/ (* (pow x 2) (pow (log (sqrt (E))) 3)) (E))) (* 2 (/ (pow (log (sqrt (E))) 2) (E))))))) (/ 1 (E)))
(+ 1 (* 2 (* (pow x 2) (log (sqrt (E))))))
(+ 1 (* (pow x 2) (+ (* 2 (log (sqrt (E)))) (* 2 (* (pow x 2) (pow (log (sqrt (E))) 2))))))
(+ 1 (* (pow x 2) (+ (* 2 (log (sqrt (E)))) (* (pow x 2) (+ (* 4/3 (* (pow x 2) (pow (log (sqrt (E))) 3))) (* 2 (pow (log (sqrt (E))) 2)))))))
(exp 1)
(+ (exp 1) (* x (exp 1)))
(+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))
(+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1)))))))
(* 2 (pow x 2))
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp (neg x))
(/ (exp (* -1 (* x (log (/ 1 (exp x)))))) (E))
(exp (* -1 (* x (log (/ 1 (exp x))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (* (+ 1 x) (- x 1)))
x
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ (exp (* 2 (* (pow x 2) (log (sqrt (E)))))) (E))
(exp (* 2 (* (pow x 2) (log (sqrt (E))))))
(exp (+ 1 x))
(exp (* -1 x))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(* -1 (* x (- (/ 1 x) 1)))
(exp (- 1 (* -1 x)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify211.0ms (2.8%)

Memory

0.6MiB live, 111.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	476
1	455	456
2	1367	432
3	3124	426
0	8101	378

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

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

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

rewrite250.0ms (3.3%)

Memory

11.6MiB live, 172.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	111
0	47	105
1	185	87
2	1150	85
0	9825	80

Stop Event

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

Counts

19 → 1 972

Calls

Call 1

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

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

eval381.0ms (5%)

Memory: 29.2MiB live, 336.2MiB allocated
Compiler: Compiled 36 431 to 5 059 computations (86.1% saved)

prune108.0ms (1.4%)

Memory

-25.0MiB live, 103.8MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1 846	11	1 857
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	1 847	19	1 866

Accuracy

100.0%

Counts

1 866 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
✓	100.0%	(pow.f64 (exp.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
	97.7%	(pow.f64 #s(approx (exp (- x -1)) (E.f64)) (-.f64 x #s(literal 1 binary64)))
✓	100.0%	(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
✓	99.9%	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
	48.5%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 (*.f64 x x) #s(literal -1 binary64) (-.f64 x (-.f64 #s(literal -1 binary64) x)))) (E.f64))
	71.1%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	71.9%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
	65.0%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 (*.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)))) (E.f64))
	71.9%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (E.f64))
	71.0%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (-.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))) (E.f64))
	71.0%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (+.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal -1 binary64) x)))) (E.f64))
	71.0%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (E.f64))
	24.8%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	50.6%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
	71.9%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))))
✓	99.9%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	99.9%	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	58.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 581 to 288 computations (50.4% saved)

regimes34.0ms (0.4%)

Memory

22.0MiB live, 61.1MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes34.0ms (0.4%)

Memory

-21.3MiB live, 57.0MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(*.f64 x x)
7.0ms	x
6.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
6.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes36.0ms (0.5%)

Memory

12.3MiB live, 50.8MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms	x
6.0ms	(*.f64 x x)
5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
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)

regimes55.0ms (0.7%)

Memory

9.5MiB live, 49.0MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))

Calls

5 calls:

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

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes28.0ms (0.4%)

Memory

-4.9MiB live, 38.0MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(*.f64 x x)
6.0ms	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
99.9%	1	`x`
99.9%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.9%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes29.0ms (0.4%)

Memory

-29.4MiB live, 47.5MiB 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 (pow (exp x) -1) (neg 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(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (-.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (+.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal -1 binary64) x)))) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 (*.f64 x x) #s(literal -1 binary64) (-.f64 x (-.f64 #s(literal -1 binary64) x)))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 (*.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)))) (E.f64))
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
(pow.f64 #s(approx (exp (- x -1)) (E.f64)) (-.f64 x #s(literal 1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))

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

Calls

5 calls:

8.0ms	(*.f64 x x)
5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes22.0ms (0.3%)

Memory

6.7MiB live, 44.7MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
4.0ms	(*.f64 x 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
97.7%	1	`x`
97.7%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
97.7%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
97.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
97.7%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes21.0ms (0.3%)

Memory

-2.9MiB live, 38.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

7.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
86.1%	2	`x`
71.9%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
86.1%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
86.1%	2	`(*.f64 x x)`
86.1%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes13.0ms (0.2%)

Memory

28.8MiB live, 28.8MiB 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 (pow (exp x) -1) (neg 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(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (-.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (+.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal -1 binary64) x)))) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 (*.f64 x x) #s(literal -1 binary64) (-.f64 x (-.f64 #s(literal -1 binary64) x)))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (E.f64))
(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
71.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
71.9%	1	`x`
71.9%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
71.9%	1	`(*.f64 x x)`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-21.3MiB live, 16.8MiB 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 (pow (exp x) -1) (neg 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 (pow (exp x) -1) (neg x)) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))

Calls

5 calls:

4.0ms	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
71.6%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
71.6%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
71.6%	2	`x`
71.6%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
71.6%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes5.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB 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	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
50.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
50.6%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
50.6%	1	`x`
50.6%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
50.6%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.617644825811118e+303	+inf

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch12.0ms (0.2%)

Memory

-18.5MiB live, 19.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.5963551069202214	35.72446136960276

Samples

7.0ms

112×

valid

Compiler

Compiled 185 to 164 computations (11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-neg: 3.0ms (66.1% of total)

ival-sub: 1.0ms (22% of total)

ival-exp: 1.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

simplify87.0ms (1.1%)

Memory

20.1MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	154
1	70	151
2	86	151
3	106	151
4	132	151
5	187	151
6	411	151
7	3330	151
8	7534	151

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(pow.f64 (exp.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 #s(approx (exp (- x -1)) (E.f64)) (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 (.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)))) (E.f64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg 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))
(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 (pow (exp x) -1) (neg 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 (neg.f64 x)) (neg.f64 x)) (E.f64))
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(pow.f64 (exp.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 #s(approx (exp (- x -1)) (E.f64)) (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 (.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)))) (E.f64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg 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))
(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 (pow (exp x) -1) (neg x)) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

soundness1.4s (18.5%)

Memory

7.0MiB live, 974.6MiB 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	28	111
0	47	105
1	185	87
2	1150	85
0	9825	80
0	114	352
1	332	305
2	923	284
3	3043	278
4	7365	278
0	8353	238
0	14	39
0	21	38
1	90	34
2	565	34
3	4676	34
0	8817	34
0	66	205
1	192	197
2	574	179
3	1292	175
4	1847	173
5	2370	173
6	3232	173
7	5206	173
8	7549	173
0	8111	146
0	155	476
1	455	456
2	1367	432
3	3124	426
0	8101	378
0	25	89
0	40	96
1	152	78
2	938	78
0	8762	73

Stop Event

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

Compiler

Compiled 510 to 325 computations (36.3% saved)

preprocess62.0ms (0.8%)

Memory: -11.7MiB live, 111.4MiB allocated
Remove: (abs x)
Compiler: Compiled 338 to 134 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (14.7%)

explain82.0ms (1.1%)

preprocess253.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify160.0ms (2.1%)

localize41.0ms (0.5%)

series2.0ms (0%)

simplify185.0ms (2.4%)

rewrite182.0ms (2.4%)

eval150.0ms (2%)

prune11.0ms (0.1%)

simplify178.0ms (2.3%)

localize70.0ms (0.9%)

series3.0ms (0%)

simplify186.0ms (2.4%)

rewrite216.0ms (2.8%)

eval88.0ms (1.2%)

prune27.0ms (0.3%)

simplify181.0ms (2.4%)

localize141.0ms (1.9%)

series8.0ms (0.1%)

simplify326.0ms (4.3%)

rewrite229.0ms (3%)

eval284.0ms (3.7%)

prune33.0ms (0.4%)

simplify292.0ms (3.8%)

localize339.0ms (4.5%)

series8.0ms (0.1%)

simplify211.0ms (2.8%)

rewrite250.0ms (3.3%)

eval381.0ms (5%)

prune108.0ms (1.4%)

regimes34.0ms (0.4%)

regimes34.0ms (0.4%)

regimes36.0ms (0.5%)

regimes55.0ms (0.7%)

regimes28.0ms (0.4%)

regimes29.0ms (0.4%)

regimes22.0ms (0.3%)

regimes21.0ms (0.3%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

simplify87.0ms (1.1%)

soundness1.4s (18.5%)

preprocess62.0ms (0.8%)

end0.0ms (0%)

Profiling