Metrics for Asymptote C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

3.4MiB live, 3.4MiB 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 15 to 9 computations (40% saved)

sample1.3s (22.3%)

Memory

13.2MiB live, 984.7MiB allocated

Samples

383.0ms	1 599×	2	valid
331.0ms	2 445×	1	valid
254.0ms	4 212×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 744.0ms

ival-div: 229.0ms (30.8% of total)

ival-add: 199.0ms (26.8% of total)

ival-sub: 155.0ms (20.8% of total)

adjust: 145.0ms (19.5% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain155.0ms (2.7%)

Memory

9.6MiB live, 104.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 x (+.f64 x #s(literal 1 binary64)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`	cancellation	129	0

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	256×	0	valid
19.0ms	168×	1	valid
15.0ms	88×	2	valid

Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sub: 26.0ms (51.7% of total)

ival-div: 12.0ms (23.9% of total)

adjust: 7.0ms (13.9% of total)

ival-add: 4.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess60.0ms (1%)

Memory

-2.4MiB live, 33.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	23	31
2	62	27
3	174	26
4	416	26
5	865	26
6	1189	26
7	1348	26
8	1430	26
9	1440	26
0	7	13
0	12	13
1	20	13
2	28	13
3	44	13
4	77	13
5	115	13
6	203	13
7	372	13
8	882	13
9	1190	13
10	1275	13
11	1285	13
0	1285	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify29.0ms (0.5%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	20	33
2	28	33
3	44	33
4	77	33
5	115	33
6	203	33
7	372	33
8	882	33
9	1190	33
10	1275	33
11	1285	33
0	1285	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.7%)

Memory

-6.0MiB live, 31.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	30.134418024737062	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

14.0ms	128×	0	valid
12.0ms	44×	2	valid
10.0ms	84×	1	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

adjust: 7.0ms (34.7% of total)

ival-div: 6.0ms (29.7% of total)

ival-sub: 4.0ms (19.8% of total)

ival-add: 3.0ms (14.9% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

5 → 32

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify164.0ms (2.8%)

Memory

0.5MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	281
1	272	272
2	622	260
3	1590	244
4	4415	242
0	8104	231

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

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

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

rewrite308.0ms (5.3%)

Memory

12.8MiB live, 202.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
0	12	31
1	67	31
2	704	31
0	8093	31

Stop Event

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

Counts

5 → 396

Calls

Call 1

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

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

eval113.0ms (1.9%)

Memory: -9.4MiB live, 72.8MiB allocated
Compiler: Compiled 12 989 to 1 508 computations (88.4% saved)

prune31.0ms (0.5%)

Memory

-14.2MiB live, 24.3MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	451	8	459
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	451	9	460

Accuracy

100.0%

Counts

460 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	50.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
	50.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
▶	50.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
▶	51.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
	50.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
▶	50.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))
▶	51.4%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 349 to 209 computations (40.1% saved)

simplify406.0ms (7%)

Memory

13.7MiB live, 90.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
cost-diff	0	(+.f64 #s(literal 3 binary64) x)
cost-diff	0	(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	182
0	36	182
1	60	182
2	110	182
3	259	182
4	852	182
5	2705	182
6	4716	182
7	5824	182
8	6394	182
9	6721	182
10	6837	182
11	6887	182
12	7007	182
13	7216	182
14	7374	182
15	7378	182
16	7378	182
17	7378	182
18	7622	182
19	7718	182
20	7718	182
0	7718	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 3 binary64)
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

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

localize131.0ms (2.3%)

Memory

-24.8MiB live, 121.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy	0.1796875	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))
accuracy	0.2780838867581882	(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
accuracy	31.52224263320053	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy	0.08203125	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
accuracy	31.57816050718583	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
accuracy	0.0	(+.f64 #s(literal 3 binary64) x)
accuracy	0.00390625	(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
accuracy	31.548267680828676	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
accuracy	31.11426005649086	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal -3 binary64) x)
accuracy	31.04625213606643	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

Samples

55.0ms	128×	0	valid
38.0ms	84×	1	valid
19.0ms	44×	2	valid

Compiler

Compiled 148 to 23 computations (84.5% saved)

Precisions

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

ival-div: 15.0ms (31.4% of total)

adjust: 8.0ms (16.7% of total)

ival-sub: 7.0ms (14.6% of total)

ival-add: 6.0ms (12.5% of total)

ival-pow: 6.0ms (12.5% of total)

ival-mult: 5.0ms (10.5% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

7.8MiB live, 7.9MiB allocated

Counts

13 → 28

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) 3) (- (pow (/ 1 x) 3) (/ -1 x))) (pow (/ 1 x) 3))
2.0ms	x	@	-inf	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) 3) (- (pow (/ 1 x) 3) (/ -1 x))) (pow (/ 1 x) 3))
1.0ms	x	@	inf	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) 3) (- (pow (/ 1 x) 3) (/ -1 x))) (pow (/ 1 x) 3))

Time

Variable

Point

Expression

2.0ms

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) 3) (- (pow (/ 1 x) 3) (/ -1 x))) (pow (/ 1 x) 3))

2.0ms

-inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) 3) (- (pow (/ 1 x) 3) (/ -1 x))) (pow (/ 1 x) 3))

1.0ms

inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) 3) (- (pow (/ 1 x) 3) (/ -1 x))) (pow (/ 1 x) 3))

simplify175.0ms (3%)

Memory

-7.4MiB live, 176.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	205
1	193	199
2	451	182
3	1223	180
4	3475	180
5	7754	180
0	8423	169

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

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

rewrite155.0ms (2.7%)

Memory

9.8MiB live, 174.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	149
0	36	149
1	174	143
2	1595	143
0	8473	143

Stop Event

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

Counts

13 → 303

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))

Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))
(pow.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 3 binary64) (neg.f64 x))
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -3 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(neg.f64 (/.f64 #s(literal 3 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) x) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) x) x)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) x) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 3 binary64) x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) (.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 3 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) x) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) x) x)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3 binary64) x) x)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 3 binary64) x) x))) (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3 binary64) x) x))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 9 binary64))) (neg.f64 (-.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (.f64 (-.f64 #s(literal 3 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 3 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 3 binary64) x))
(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal 3 binary64) x)
(+.f64 x #s(literal 3 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) x) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) x) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(pow.f64 (/.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 #s(literal 3 binary64) x))) (neg.f64 (*.f64 x x)))
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(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)))) (neg.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)))) (neg.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)))) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)))) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -2 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 x #s(literal -9 binary64)) (pow.f64 x #s(literal -3 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) (+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -6 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) #s(literal -3 binary64)))
(fma.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (*.f64 #s(literal -3 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
(+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) #s(literal -3 binary64)))
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(+.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.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 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (neg.f64 (log.f64 x)))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 x) #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64))
(pow.f64 (neg.f64 x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal -3 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))

eval60.0ms (1%)

Memory: -5.8MiB live, 111.5MiB allocated
Compiler: Compiled 11 754 to 1 367 computations (88.4% saved)

prune13.0ms (0.2%)

Memory

-5.2MiB live, 33.7MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	374	4	378
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	376	11	387

Accuracy

100.0%

Counts

387 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	50.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
▶	50.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	50.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
▶	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
▶	51.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	51.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	50.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
▶	50.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))))
	17.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (* (- (/ -1 x) 3) (- (pow (/ 1 x) 3) (/ -1 x))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))))
✓	51.4%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 414 to 247 computations (40.3% saved)

simplify179.0ms (3.1%)

Memory

21.4MiB live, 147.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))))
cost-diff	3	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
cost-diff	0	#s(approx (+ 3 x) #s(literal 3 binary64))
cost-diff	0	(fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
cost-diff	0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	263
0	57	263
1	101	259
2	202	247
3	477	247
4	1293	247
5	2903	247
6	4923	247
7	6432	247
8	7260	247
9	7362	247
10	7501	247
11	7844	247
0	8143	247

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
#s(literal -3 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(literal -1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))
#s(approx (+ 3 x) #s(literal 3 binary64))
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
#s(literal 3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 3 binary64)
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(neg.f64 x)

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

localize333.0ms (5.7%)

Memory

-5.4MiB live, 236.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
accuracy	0.140625	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	0.1796875	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))
accuracy	31.52224263320053	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy	0.1015625	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy	31.903596836229433	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
accuracy	0.37109375	(*.f64 x #s(literal -1/3 binary64))
accuracy	31.04625213606643	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
accuracy	0.00390625	(fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))
accuracy	31.40239761958059	#s(approx (+ 3 x) #s(literal 3 binary64))
accuracy	31.548267680828676	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
accuracy	0.03515625	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
accuracy	0.05078125	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
accuracy	31.13954473422584	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))

Samples

217.0ms	44×	2	valid
47.0ms	128×	0	valid
43.0ms	84×	1	valid

Compiler

Compiled 210 to 35 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 202.0ms (78.3% of total)

ival-div: 21.0ms (8.1% of total)

adjust: 11.0ms (4.3% of total)

ival-sub: 9.0ms (3.5% of total)

ival-add: 9.0ms (3.5% of total)

const: 4.0ms (1.6% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-22.7MiB live, 15.6MiB allocated

Counts

19 → 49

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))
#s(approx (+ 3 x) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 x #s(literal -1/3 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (/ (/ (/ -1 x) x) (neg x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) 3) (- (/ (/ (/ -1 x) x) (neg x)) (/ -1 x))) (- (/ -1 x) 3) (/ (/ -1 x) x))

2.0ms

-inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (/ (/ (/ -1 x) x) (neg x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) 3) (- (/ (/ (/ -1 x) x) (neg x)) (/ -1 x))) (- (/ -1 x) 3) (/ (/ -1 x) x))

2.0ms

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- (/ 3 x) -1) x)) x) (- -3 (/ (- (/ 3 x) -1) x)) (/ (- (/ 3 x) -1) x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (/ (/ (/ -1 x) x) (neg x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) 3) (- (/ (/ (/ -1 x) x) (neg x)) (/ -1 x))) (- (/ -1 x) 3) (/ (/ -1 x) x))

simplify134.0ms (2.3%)

Memory

29.5MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	373
1	279	364
2	773	333
3	2979	327
4	6572	327
0	8286	302

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

rewrite189.0ms (3.3%)

Memory

-7.4MiB live, 189.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	222
0	57	222
1	270	209
2	2684	202
0	8617	202

Stop Event

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

Counts

19 → 508

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))
#s(approx (+ 3 x) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 x #s(literal -1/3 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)

Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(pow.f64 (/.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64) (-.f64 (.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))) (.f64 (/.f64 #s(literal -3 binary64) x) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -3 binary64) x) (.f64 x (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) x)
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal -3 binary64) x) (.f64 x (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (*.f64 x (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64) #s(literal -27 binary64))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -3 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) x #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(fma.f64 x (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -3 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 27 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) (/.f64 #s(literal 27 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 x) x)) #s(literal -1 binary64)))

eval88.0ms (1.5%)

Memory: 0.6MiB live, 122.6MiB allocated
Compiler: Compiled 19 260 to 2 187 computations (88.6% saved)

prune31.0ms (0.5%)

Memory

-5.7MiB live, 33.5MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	544	3	547
Fresh	1	0	1
Picked	1	4	5
Done	0	5	5
Total	546	12	558

Accuracy

100.0%

Counts

558 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	50.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
✓	50.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	50.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
✓	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
▶	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x))
▶	30.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x)))
▶	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
✓	51.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	51.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
✓	50.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
✓	51.4%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 251 to 152 computations (39.4% saved)

simplify116.0ms (2%)

Memory

14.5MiB live, 131.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x))
cost-diff	0	(/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x))
cost-diff	1	(+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x)))
cost-diff	1	(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 x #s(literal -3 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	182
0	41	182
1	72	178
2	162	178
3	415	176
4	1250	176
5	4141	176
6	7043	176
0	8053	173

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
#s(literal 1 binary64)
(/.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x))
(/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x)
(+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x))
#s(literal -3 binary64)
(/.f64 (/.f64 #s(literal 3 binary64) x) x)
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal -3 binary64) x)
#s(literal 1 binary64)
(/.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) x) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) x) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)
(+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal -3 binary64) x) x) #s(literal 3 binary64))
#s(literal -3 binary64)
(/.f64 (/.f64 #s(literal 3 binary64) x) x)
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

localize88.0ms (1.5%)

Memory

-5.4MiB live, 150.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))
accuracy	0.03515625	(/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x)
accuracy	0.11328125	(/.f64 (/.f64 #s(literal 3 binary64) x) x)
accuracy	31.13954473422584	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x))
accuracy	0.0	(neg.f64 x)
accuracy	0.250663769536884	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
accuracy	13.202360790052284	(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x))
accuracy	31.52224263320053	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x)))
accuracy	0.0	(/.f64 x #s(literal -3 binary64))
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
accuracy	31.04625213606643	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))

Samples

25.0ms	84×	1	valid
22.0ms	128×	0	valid
18.0ms	44×	2	valid

Compiler

Compiled 147 to 26 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 20.0ms (42.9% of total)

ival-sub: 9.0ms (19.3% of total)

adjust: 7.0ms (15% of total)

ival-add: 4.0ms (8.6% of total)

ival-mult: 4.0ms (8.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

13 → 41

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
(/.f64 x #s(literal -3 binary64))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x))
(/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x)
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x))
(neg.f64 x)
(/.f64 (/.f64 #s(literal 3 binary64) x) x)

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

((/ 1 (/ x -3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x -3) (/ (* (- (/ -1 x) x) (- (/ -1 x) 3)) (* (neg x) x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) x) (- (/ -1 x) 3)) (- (/ -1 x) x) (+ (- -3 (/ (/ 3 x) x)) (/ -1 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (+ (- -3 (/ (/ 3 x) x)) (/ -1 x)) x) (- -3 (/ (/ 3 x) x)) (neg x) (/ (/ 3 x) x))

1.0ms

inf

((/ 1 (/ x -3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x -3) (/ (* (- (/ -1 x) x) (- (/ -1 x) 3)) (* (neg x) x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) x) (- (/ -1 x) 3)) (- (/ -1 x) x) (+ (- -3 (/ (/ 3 x) x)) (/ -1 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (+ (- -3 (/ (/ 3 x) x)) (/ -1 x)) x) (- -3 (/ (/ 3 x) x)) (neg x) (/ (/ 3 x) x))

1.0ms

-inf

((/ 1 (/ x -3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x -3) (/ (* (- (/ -1 x) x) (- (/ -1 x) 3)) (* (neg x) x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (- (/ -1 x) x) (- (/ -1 x) 3)) (- (/ -1 x) x) (+ (- -3 (/ (/ 3 x) x)) (/ -1 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (+ (- -3 (/ (/ 3 x) x)) (/ -1 x)) x) (- -3 (/ (/ 3 x) x)) (neg x) (/ (/ 3 x) x))

simplify159.0ms (2.7%)

Memory

-0.9MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	377
1	278	375
2	709	323
3	2062	308
4	5277	304
0	8231	288

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

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

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

rewrite164.0ms (2.8%)

Memory

-13.1MiB live, 215.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	154
0	41	154
1	200	144
2	1945	138
0	8393	137

Stop Event

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

Counts

13 → 461

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
(/.f64 x #s(literal -3 binary64))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x))
(/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x)
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x))
(neg.f64 x)
(/.f64 (/.f64 #s(literal 3 binary64) x) x)

Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))
(*.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) x))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64))
(/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 3 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))
(neg.f64 (/.f64 #s(literal 3 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (neg.f64 x))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1/3 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal -1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) x))
(pow.f64 (/.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal -3 binary64))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(/.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))
(neg.f64 (*.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/3 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) x) x))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) x))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x)) (.f64 x x)))
(.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (neg.f64 (neg.f64 x))) (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x)) x))
(*.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x)) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x)) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 (neg.f64 x))) (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x))
(*.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 (neg.f64 x))))
(*.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) x))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x)) (.f64 (neg.f64 x) x)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (.f64 x x)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) x))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (.f64 x x)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) x))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #s(literal -1 binary64)))
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(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal -3 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal -3 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 3 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 3 binary64) x) x)
(/.f64 #s(literal 3 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) x)))
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/3 binary64)) x))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) x)) #s(literal -1 binary64)))

eval62.0ms (1.1%)

Memory: -4.2MiB live, 119.7MiB allocated
Compiler: Compiled 17 921 to 2 105 computations (88.3% saved)

prune16.0ms (0.3%)

Memory

4.5MiB live, 43.8MiB allocated

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	491	4	495
Fresh	0	0	0
Picked	1	2	3
Done	1	8	9
Total	493	14	507

Accuracy

100.0%

Counts

507 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.9%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	50.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
✓	50.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	50.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) x))
✓	30.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x)))
	30.8%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x (/.f64 (-.f64 x #s(literal -3 binary64)) x))) (*.f64 (neg.f64 x) x)))
	30.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
	30.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (.f64 #s(literal 3 binary64) x)) (.f64 (neg.f64 x) x)))
✓	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
✓	51.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	51.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
✓	50.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
✓	51.4%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 842 to 305 computations (63.8% saved)

regimes12.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (.f64 #s(literal 3 binary64) x)) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x (/.f64 (-.f64 x #s(literal -3 binary64)) x))) (*.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(approx (* (- (/ -1 x) 3) (- (pow (/ 1 x) 3) (/ -1 x))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x))))

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) x))

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

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (.f64 #s(literal 3 binary64) x)) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x (/.f64 (-.f64 x #s(literal -3 binary64)) x))) (*.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
99.9%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes5.0ms (0.1%)

Memory

-39.0MiB live, 6.4MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (.f64 #s(literal 3 binary64) x)) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x (/.f64 (-.f64 x #s(literal -3 binary64)) x))) (*.f64 (neg.f64 x) x)))

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
99.9%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (.f64 #s(literal 3 binary64) x)) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.8%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (.f64 #s(literal 3 binary64) x)) (.f64 (neg.f64 x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (* (- (/ -1 x) x) (- (/ -1 x) 3)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))

Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
99.5%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Accuracy

Total -0.9b remaining (-2.7%)

Threshold costs -0.9b (-2.7%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1879386363489175e-14	1.0

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1879386363489175e-14	1.0

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1879386363489175e-14	1.0

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1879386363489175e-14	1.0

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1879386363489175e-14	1.0

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1879386363489175e-14	1.0

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify61.0ms (1.1%)

Memory

-16.8MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	344
1	68	344
2	107	344
3	173	344
4	254	344
5	372	344
6	735	344
7	2204	344
8	5717	344

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

soundness945.0ms (16.3%)

Memory

-12.0MiB live, 509.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	154
0	41	154
1	200	144
2	1945	138
0	8393	137
0	36	222
0	57	222
1	270	209
2	2684	202
0	8617	202
0	99	281
1	272	272
2	622	260
3	1590	244
4	4415	242
0	8104	231

Stop Event

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

Compiler

Compiled 441 to 120 computations (72.8% saved)

preprocess37.0ms (0.6%)

Memory: 10.7MiB live, 51.0MiB allocated
Compiler: Compiled 714 to 114 computations (84% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.3s (22.3%)

explain155.0ms (2.7%)

preprocess60.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify29.0ms (0.5%)

localize43.0ms (0.7%)

series3.0ms (0%)

simplify164.0ms (2.8%)

rewrite308.0ms (5.3%)

eval113.0ms (1.9%)

prune31.0ms (0.5%)

simplify406.0ms (7%)

localize131.0ms (2.3%)

series6.0ms (0.1%)

simplify175.0ms (3%)

rewrite155.0ms (2.7%)

eval60.0ms (1%)

prune13.0ms (0.2%)

simplify179.0ms (3.1%)

localize333.0ms (5.7%)

series12.0ms (0.2%)

simplify134.0ms (2.3%)

rewrite189.0ms (3.3%)

eval88.0ms (1.5%)

prune31.0ms (0.5%)

simplify116.0ms (2%)

localize88.0ms (1.5%)

series5.0ms (0.1%)

simplify159.0ms (2.7%)

rewrite164.0ms (2.8%)

eval62.0ms (1.1%)

prune16.0ms (0.3%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify61.0ms (1.1%)

soundness945.0ms (16.3%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling