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)

sample821.0ms (19.2%)

Memory

-2.8MiB live, 957.8MiB allocated

Samples

563.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 356.0ms

ival-exp: 174.0ms (48.9% of total)

ival-mult: 96.0ms (27% of total)

ival-sub: 38.0ms (10.7% of total)

ival-neg: 36.0ms (10.1% of total)

ival-true: 5.0ms (1.4% of total)

exact: 4.0ms (1.1% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain137.0ms (3.2%)

Memory

-5.2MiB live, 114.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 103 to 40 computations (61.2% saved)

Precisions

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

ival-mult: 21.0ms (67.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

preprocess200.0ms (4.7%)

Memory

10.4MiB live, 169.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	30	13
2	74	13
3	156	13
4	282	13
5	410	13
6	635	13
7	968	13
8	1625	13
9	3013	13
10	6135	13
0	6	7
0	10	7
1	22	6
2	51	6
3	106	6
4	192	6
5	293	6
6	468	6
7	776	6
8	1277	6
9	2109	6
10	4291	6
11	7386	6
0	8073	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify153.0ms (3.6%)

Memory

-17.3MiB live, 180.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff	256	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	22	21
2	51	21
3	106	21
4	192	21
5	293	21
6	468	21
7	776	21
8	1277	21
9	2109	21
10	4291	21
11	7386	21
0	8073	19

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (0.8%)

Memory

2.2MiB live, 39.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

12.0ms

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 (30.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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	@	0	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
1.0ms	x	@	inf	((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

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

1.0ms

inf

((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))

simplify152.0ms (3.5%)

Memory

29.6MiB live, 232.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	92
1	81	86
2	247	82
3	605	79
4	1328	79
5	2025	79
6	3122	79
7	5644	79
0	8367	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))

rewrite191.0ms (4.5%)

Memory

-19.2MiB live, 338.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16

Stop Event

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

Counts

4 → 500

Calls

Call 1

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

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

eval116.0ms (2.7%)

Memory: 5.6MiB live, 120.2MiB allocated
Compiler: Compiled 10 671 to 1 805 computations (83.1% saved)

prune6.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	509	2	511
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	510	2	512

Accuracy

100.0%

Counts

512 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	51.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify428.0ms (10%)

Memory

-20.9MiB live, 173.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
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	10	29
0	13	29
1	29	25
2	58	25
3	125	25
4	280	25
5	615	25
6	1531	25
7	2324	25
8	4540	25
9	6972	25
0	8430	25

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)

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)

localize22.0ms (0.5%)

Memory

27.7MiB live, 27.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	31.587898214056846	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))

Samples

16.0ms

256×

valid

Compiler

Compiled 58 to 21 computations (63.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 4.0ms (41.6% of total)

ival-mult: 2.0ms (20.8% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

ival-neg: 1.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

4 → 9

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))

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

Calls

3 calls:

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

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

simplify328.0ms (7.7%)

Memory

-13.3MiB live, 104.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	75
1	72	71
2	221	67
3	567	64
4	1321	64
5	1945	64
6	2701	64
7	5258	64
8	7771	64
0	8184	55

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

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

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

rewrite196.0ms (4.6%)

Memory

24.2MiB live, 135.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	13	26
1	54	22
2	339	22
3	3010	22
0	10754	22

Stop Event

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

Counts

4 → 297

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))

Outputs
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))) (exp.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 (exp.f64 (.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (exp.f64 x) (E.f64)))
(.f64 (exp.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (exp.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (exp.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 x x))) (exp.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 (exp.f64 x) (E.f64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) x) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) 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 (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 (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(.f64 (/.f64 (exp.f64 x) (E.f64)) (exp.f64 (.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (exp.f64 x) (E.f64)) (pow.f64 (exp.f64 x) (-.f64 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 (exp.f64 #s(literal -1 binary64)) (pow.f64 (exp.f64 x) x))
(*.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 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (/.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 (exp.f64 (/.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 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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 (exp.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.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)))
(pow.f64 (exp.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.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)))
(pow.f64 (exp.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))))
(pow.f64 (exp.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)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (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 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) #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 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (E.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 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (+.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 (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 (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))) (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))) #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)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(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 (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 (neg.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 (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)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 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 (exp.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.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))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (exp.f64 x) (E.f64)) (+.f64 x #s(literal 1 binary64)))
(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 -1 binary64)))
(pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 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 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (E.f64) (exp.f64 x)) (-.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (exp.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))) (exp.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 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (pow.f64 (.f64 (E.f64) (exp.f64 x)) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (pow.f64 (.f64 (E.f64) (exp.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (.f64 (E.f64) (exp.f64 x)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x #s(literal -1 binary64))
(fma.f64 (/.f64 (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)))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (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)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (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)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.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)))) #s(literal 0 binary64))
(fma.f64 (/.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)) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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)))) #s(literal 0 binary64))
(fma.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)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) x #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) x #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) x #s(literal -1 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.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)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 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)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.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)) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 x (neg.f64 x) #s(literal -1 binary64))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(expm1.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.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 (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 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 #s(literal 0 binary64) (fma.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))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (/.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 (*.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 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 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))

eval138.0ms (3.2%)

Memory: -48.2MiB live, 88.7MiB allocated
Compiler: Compiled 4 851 to 827 computations (83% saved)

prune4.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	303	1	304
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	303	3	306

Accuracy

100.0%

Counts

306 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	58.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
✓	51.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 25 to 20 computations (20% saved)

simplify337.0ms (7.9%)

Memory

1.7MiB live, 157.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	10	25
1	20	23
2	40	23
3	73	23
4	127	23
5	179	23
6	316	23
7	520	23
8	877	23
9	1356	23
10	3211	23
11	4683	23
12	5314	23
13	5563	23
14	5733	23
15	5799	23
16	5875	23
17	6799	23
18	7451	23
19	7867	23
20	7933	23
21	7965	23
22	7979	23
0	8079	21

Stop Event

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

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

16.6MiB live, 16.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	31.800944604659424	#s(approx (neg (- 1 (* x x))) (*.f64 x x))

Samples

11.0ms

256×

valid

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 2.0ms (31.2% of total)

ival-mult: 2.0ms (31.2% of total)

ival-sub: 1.0ms (15.6% of total)

ival-neg: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

3 → 9

Calls

Call 1

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

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

Calls

3 calls:

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

simplify199.0ms (4.7%)

Memory

-27.5MiB live, 252.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	75
1	72	71
2	221	67
3	567	64
4	1321	64
5	1945	64
6	2701	64
7	5258	64
8	7771	64
0	8184	55

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

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

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

rewrite190.0ms (4.4%)

Memory

-7.4MiB live, 201.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	10	24
1	35	22
2	210	22
3	1808	22
0	9223	20

Stop Event

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

Counts

3 → 28

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 13.2MiB live, 13.2MiB allocated
Compiler: Compiled 512 to 136 computations (73.4% saved)

prune2.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	36	3	39

Accuracy

100.0%

Counts

39 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	58.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
✓	51.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes12.0ms (0.3%)

Memory

-14.5MiB live, 23.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
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)

regimes7.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.8%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.8%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.8%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes8.0ms (0.2%)

Memory

-30.3MiB live, 18.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
51.8%	1	`x`
51.8%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
51.8%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
51.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
51.8%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch13.0ms (0.3%)

Memory

29.3MiB live, 29.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.2476515224729668e-7	91202.03064850654

Samples

6.0ms

160×

valid

Compiler

Compiled 190 to 180 computations (5.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (31.6% of total)

ival-exp: 1.0ms (31.6% of total)

ival-neg: 1.0ms (31.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.6%)

Memory

-19.7MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	19	40

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) #s(literal 2116691824864133/2251799813685248 binary64)) (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))

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

Outputs

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

(if (<=.f64 (*.f64 x x) #s(literal 2116691824864133/2251799813685248 binary64)) (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))

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

soundness462.0ms (10.8%)

Memory

3.6MiB live, 348.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	92
1	81	86
2	247	82
3	605	79
4	1328	79
5	2025	79
6	3122	79
7	5644	79
0	8367	70
0	26	75
1	72	71
2	221	67
3	567	64
4	1321	64
5	1945	64
6	2701	64
7	5258	64
8	7771	64
0	8184	55
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16

Stop Event

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

Compiler

Compiled 62 to 37 computations (40.3% saved)

preprocess74.0ms (1.7%)

Memory: -3.4MiB live, 126.0MiB allocated
Remove: (abs x)
Compiler: Compiled 104 to 52 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample821.0ms (19.2%)

explain137.0ms (3.2%)

preprocess200.0ms (4.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify153.0ms (3.6%)

localize36.0ms (0.8%)

series2.0ms (0%)

simplify152.0ms (3.5%)

rewrite191.0ms (4.5%)

eval116.0ms (2.7%)

prune6.0ms (0.1%)

simplify428.0ms (10%)

localize22.0ms (0.5%)

series1.0ms (0%)

simplify328.0ms (7.7%)

rewrite196.0ms (4.6%)

eval138.0ms (3.2%)

prune4.0ms (0.1%)

simplify337.0ms (7.9%)

localize17.0ms (0.4%)

series1.0ms (0%)

simplify199.0ms (4.7%)

rewrite190.0ms (4.4%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

regimes12.0ms (0.3%)

regimes7.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch13.0ms (0.3%)

simplify25.0ms (0.6%)

soundness462.0ms (10.8%)

preprocess74.0ms (1.7%)

end0.0ms (0%)

Profiling