Metrics for Asymptote A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.5s (37.1%)

Memory

49.1MiB live, 1 348.8MiB allocated

Samples

683.0ms	3 815×	1	valid
314.0ms	4 441×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 673.0ms

ival-div: 261.0ms (38.8% of total)

ival-add: 209.0ms (31% of total)

ival-sub: 107.0ms (15.9% of total)

adjust: 81.0ms (12% of total)

ival-true: 7.0ms (1% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain208.0ms (5.2%)

Memory

-10.8MiB live, 187.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
67	1	(7.685573873469171e+161)	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`	cancellation	68	0

Confusion

	Predicted +	Predicted -
+	67	0
-	1	188

Precision

0.9852941176470589

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	1	0	188

Precision?

0.9852941176470589

Recall?

1.0

Freqs

test

number	freq
0	188
1	68

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms	252×	1	valid
14.0ms	260×	0	valid

Compiler

Compiled 102 to 32 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 40.0ms (62% of total)

ival-div: 11.0ms (17% of total)

ival-sub: 7.0ms (10.8% of total)

adjust: 5.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess39.0ms (1%)

Memory

12.1MiB live, 52.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	21	25
2	55	22
3	124	22
4	232	22
5	304	22
6	317	22
7	321	22
0	7	11
0	12	11
1	20	11
2	27	11
3	42	11
4	70	11
5	120	11
6	205	11
7	276	11
8	301	11
9	305	11
0	305	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Outputs

(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))

Symmetry

(abs x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize74.0ms (1.8%)

Memory

-13.4MiB live, 62.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	14.920279561407092	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Samples

56.0ms	126×	1	valid
11.0ms	130×	0	valid

Compiler

Compiled 60 to 16 computations (73.3% saved)

Precisions

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

ival-div: 5.0ms (35.7% of total)

adjust: 3.0ms (21.4% of total)

ival-sub: 3.0ms (21.4% of total)

ival-add: 2.0ms (14.3% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 31

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

Outputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(+ 1 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (/ 1 (- x 1)) (+ x 1))

1.0ms

((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (/ 1 (- x 1)) (+ x 1))

0.0ms

-inf

((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (/ 1 (- x 1)) (+ x 1))

simplify127.0ms (3.2%)

Memory

-21.0MiB live, 144.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	307
1	249	285
2	825	267
3	3731	267
0	8202	257

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(+ 1 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))

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

rewrite185.0ms (4.6%)

Memory

27.3MiB live, 386.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	12	24
1	67	24
2	659	24
0	8900	22

Stop Event

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

Counts

4 → 711

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

Outputs
(.f64 (.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))
(.f64 (.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) 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 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))))
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
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(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fabs.f64 x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fabs.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 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 #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))
(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 (/.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 (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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 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)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #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 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(exp.f64 (log1p.f64 x))
(+.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 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 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 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 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 (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 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)

eval108.0ms (2.7%)

Memory: -27.0MiB live, 261.4MiB allocated
Compiler: Compiled 19 379 to 2 066 computations (89.3% saved)

prune13.0ms (0.3%)

Memory

9.7MiB live, 49.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	729	6	735
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	730	6	736

Accuracy

100.0%

Counts

736 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.7%	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
▶	80.7%	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶	47.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
	53.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
▶	52.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶	48.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 196 to 126 computations (35.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize84.0ms (2.1%)

Memory

-4.2MiB live, 155.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.0546875	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
accuracy	31.241477208738914	(-.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.25730969397083525	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	30.023068361396813	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy	33.46854027324054	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy	33.166164282606786	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy	0.0	(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.19090344397083525	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	31.241477208738914	(-.f64 (-.f64 x #s(literal 1 binary64)) x)

Samples

45.0ms	130×	1	valid
20.0ms	126×	0	valid

Compiler

Compiled 292 to 48 computations (83.6% saved)

Precisions

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

ival-div: 14.0ms (31.3% of total)

ival-sub: 11.0ms (24.6% of total)

ival-mult: 7.0ms (15.6% of total)

adjust: 6.0ms (13.4% of total)

ival-add: 5.0ms (11.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

13 → 29

Calls

Call 1

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

Outputs
-1
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(- x 1)
-2
(pow x 2)
(/ -2 (pow x 2))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
x
(* x (- 1 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (- x 1) x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (- (- x 1) x) 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1))
1.0ms	x	@	inf	((- (- x 1) x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (- (- x 1) x) 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1))
1.0ms	x	@	0	((- (- x 1) x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (- (- x 1) x) 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1))

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify159.0ms (4%)

Memory

-24.9MiB live, 215.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	231
1	227	227
2	848	209
3	4359	209
0	8183	199

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

Inputs
-1
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(- x 1)
-2
(pow x 2)
(/ -2 (pow x 2))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
x
(* x (- 1 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))

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

rewrite181.0ms (4.5%)

Memory

-0.1MiB live, 283.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	118
0	36	115
1	199	113
2	1916	113
0	8407	108

Stop Event

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

Counts

13 → 1 024

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal 1 binary64)) x))
(pow.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (pow.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (fabs.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(fma.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 x))
(fma.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 x))
(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)) (neg.f64 x))
(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)) (neg.f64 x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(-.f64 (-.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(-.f64 x (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x x) #s(literal -1 binary64))
(+.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x))
(+.f64 x (-.f64 #s(literal -1 binary64) x))
(+.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) 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)))
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 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 (.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))
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(/.f64 (-.f64 (neg.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x (expm1.f64 (log1p.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.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 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) 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))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.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)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
(exp.f64 (log1p.f64 x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval143.0ms (3.6%)

Memory: 36.6MiB live, 263.1MiB allocated
Compiler: Compiled 35 710 to 3 735 computations (89.5% saved)

prune21.0ms (0.5%)

Memory

-19.4MiB live, 67.0MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 261	3	1 264
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 264	6	1 270

Accuracy

100.0%

Counts

1 270 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓	47.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
▶	53.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	52.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
✓	48.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 96 to 63 computations (34.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize60.0ms (1.5%)

Memory

25.2MiB live, 103.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.19090344397083525	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.08984375	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
accuracy	30.023068361396813	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
accuracy	0.0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.0078125	(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
accuracy	30.023068361396813	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))

Samples

32.0ms	130×	1	valid
17.0ms	126×	0	valid

Compiler

Compiled 156 to 40 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 11.0ms (30.8% of total)

ival-sub: 6.0ms (16.8% of total)

adjust: 5.0ms (14% of total)

ival-mult: 5.0ms (14% of total)

ival-add: 4.0ms (11.2% of total)

ival-pow: 3.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

-32.7MiB live, 5.8MiB allocated

Counts

9 → 15

Calls

Call 1

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

Outputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(/ 1 (pow x 2))
(/ -2 x)
-2
-1
(- (pow x 2) 1)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify154.0ms (3.8%)

Memory

30.9MiB live, 151.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	122
1	94	122
2	375	111
3	2133	107
0	8370	100

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(/ 1 (pow x 2))
(/ -2 x)
-2
-1
(- (pow x 2) 1)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))

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

rewrite262.0ms (6.5%)

Memory

-12.1MiB live, 224.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
0	27	77
1	152	77
2	1368	77
0	9084	75

Stop Event

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

Counts

9 → 249

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) x))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(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 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) x))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 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 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
(*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (pow.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1 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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) 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 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.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)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.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)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.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)))
(pow.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))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 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))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 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 (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)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (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 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.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)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (neg.f64 x))) (sqrt.f64 (.f64 x (neg.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (.f64 x x))) (sqrt.f64 (neg.f64 (.f64 x x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))

eval27.0ms (0.7%)

Memory: 8.0MiB live, 43.2MiB allocated
Compiler: Compiled 4 671 to 688 computations (85.3% saved)

prune6.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	217	6	223

Accuracy

100.0%

Counts

223 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓	47.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
✓	53.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	52.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
✓	48.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 253 to 107 computations (57.7% saved)

regimes10.0ms (0.2%)

Memory

-26.4MiB live, 11.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Calls

2 calls:

3.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

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

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.3%	2	`x`
99.3%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
48.2%	1	`x`
48.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify42.0ms (1.1%)

Memory

-22.7MiB live, 62.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	76
1	36	76
2	45	76
3	63	76
4	90	76
5	125	76
6	155	76
7	194	76
8	199	76
9	207	76
10	217	76
11	236	76
12	253	76
13	260	76
14	262	76

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))

(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))))

#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

soundness572.0ms (14.3%)

Memory

13.4MiB live, 402.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	231
1	227	227
2	848	209
3	4359	209
0	8183	199
0	80	307
1	249	285
2	825	267
3	3731	267
0	8202	257
0	7	24
0	12	24
1	67	24
2	659	24
0	8900	22

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 117 to 57 computations (51.3% saved)

preprocess22.0ms (0.6%)

Memory: 12.2MiB live, 51.3MiB allocated
Remove: (abs x)
Compiler: Compiled 202 to 94 computations (53.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	27
1	21	25
2	55	22
3	124	22
4	232	22
5	304	22
6	317	22
7	321	22
0	7	11
0	12	11
1	20	11
2	27	11
3	42	11
4	70	11
5	120	11
6	205	11
7	276	11
8	301	11
9	305	11
0	305	11

Iter	Nodes	Cost
0	29	76
1	36	76
2	45	76
3	63	76
4	90	76
5	125	76
6	155	76
7	194	76
8	199	76
9	207	76
10	217	76
11	236	76
12	253	76
13	260	76
14	262	76

Iter	Nodes	Cost
0	9	27
1	21	25
2	55	22
3	124	22
4	232	22
5	304	22
6	317	22
7	321	22
0	7	11
0	12	11
1	20	11
2	27	11
3	42	11
4	70	11
5	120	11
6	205	11
7	276	11
8	301	11
9	305	11
0	305	11

Iter	Nodes	Cost
0	29	76
1	36	76
2	45	76
3	63	76
4	90	76
5	125	76
6	155	76
7	194	76
8	199	76
9	207	76
10	217	76
11	236	76
12	253	76
13	260	76
14	262	76

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.5s (37.1%)

explain208.0ms (5.2%)

preprocess39.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize74.0ms (1.8%)

series2.0ms (0.1%)

simplify127.0ms (3.2%)

rewrite185.0ms (4.6%)

eval108.0ms (2.7%)

prune13.0ms (0.3%)

simplify0.0ms (0%)

localize84.0ms (2.1%)

series5.0ms (0.1%)

simplify159.0ms (4%)

rewrite181.0ms (4.5%)

eval143.0ms (3.6%)

prune21.0ms (0.5%)

simplify0.0ms (0%)

localize60.0ms (1.5%)

series5.0ms (0.1%)

simplify154.0ms (3.8%)

rewrite262.0ms (6.5%)

eval27.0ms (0.7%)

prune6.0ms (0.2%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify42.0ms (1.1%)

soundness572.0ms (14.3%)

preprocess22.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	27
1	21	25
2	55	22
3	124	22
4	232	22
5	304	22
6	317	22
7	321	22
0	7	11
0	12	11
1	20	11
2	27	11
3	42	11
4	70	11
5	120	11
6	205	11
7	276	11
8	301	11
9	305	11
0	305	11

Iter	Nodes	Cost
0	29	76
1	36	76
2	45	76
3	63	76
4	90	76
5	125	76
6	155	76
7	194	76
8	199	76
9	207	76
10	217	76
11	236	76
12	253	76
13	260	76
14	262	76