Metrics for Asymptote C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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)

sample1.0s (18%)

Memory

5.6MiB live, 1 539.9MiB allocated

Samples

281.0ms	2 412×	1	valid
264.0ms	1 623×	2	valid
219.0ms	4 221×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 573.0ms

ival-div: 211.0ms (36.8% of total)

ival-sub: 134.0ms (23.4% of total)

adjust: 120.0ms (20.9% of total)

ival-add: 94.0ms (16.4% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain109.0ms (1.9%)

Memory

13.0MiB live, 174.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
125	-	-	`(-.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	125	0

Confusion

	Predicted +	Predicted -
+	125	0
-	0	131

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	0
-	0	0	131

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	131
1	125

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms	144×	1	valid
18.0ms	100×	2	valid
17.0ms	268×	0	valid

Compiler

Compiled 116 to 32 computations (72.4% saved)

Precisions

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

ival-div: 14.0ms (39% of total)

ival-sub: 9.0ms (25.1% of total)

adjust: 7.0ms (19.5% of total)

ival-add: 5.0ms (13.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess58.0ms (1%)

Memory

14.9MiB live, 55.6MiB 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)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(-.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)

simplify28.0ms (0.5%)

Memory

-24.2MiB live, 14.7MiB 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))

localize33.0ms (0.6%)

Memory

14.1MiB live, 52.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	28.894813166305575	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

10.0ms	50×	2	valid
8.0ms	72×	1	valid
8.0ms	134×	0	valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 6.0ms (35.2% of total)

adjust: 4.0ms (23.4% of total)

ival-sub: 4.0ms (23.4% of total)

ival-add: 3.0ms (17.6% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

4 → 29

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)))

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)
(/ -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)))))
(* -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)))

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)))
1.0ms	x	@	-inf	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ 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)))

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

simplify132.0ms (2.3%)

Memory

-13.2MiB live, 139.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	272
1	262	263
2	587	251
3	1514	235
4	3759	233
5	6729	233
0	8127	222

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

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)
(/ -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)))))
(* -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)))

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

rewrite182.0ms (3.1%)

Memory

-2.3MiB live, 253.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	67	28
2	704	28
0	8093	28

Stop Event

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

Counts

4 → 350

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)))

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

eval92.0ms (1.6%)

Memory: 0.7MiB live, 76.8MiB allocated
Compiler: Compiled 11 740 to 1 315 computations (88.8% saved)

prune14.0ms (0.2%)

Memory

-2.3MiB live, 35.9MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	400	12	412
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	400	13	413

Accuracy

100.0%

Counts

413 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.3%	(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
	53.1%	(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	55.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
	53.5%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))))
✓	54.8%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	51.4%	(-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
	50.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
	49.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
	50.0%	#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))
	49.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	50.9%	#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))))
▶	51.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 503 to 285 computations (43.3% saved)

simplify140.0ms (2.4%)

Memory

10.3MiB live, 165.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) x)
cost-diff	0	#s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
cost-diff	0	(-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
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 #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 x #s(literal 1 binary64))
cost-diff	128	(-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x)))
cost-diff	320	(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff	1600	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	220
0	51	214
1	105	214
2	284	206
3	897	204
4	3913	204
0	8203	203

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (2.3%)

Memory

-15.4MiB live, 201.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) x) x)
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	28.894813166305575	(-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	31.66957581061162	#s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) 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	0.04296875	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy	31.393432294886615	#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	0.0	(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
accuracy	0.0	(+.f64 #s(literal 3 binary64) x)
accuracy	31.160376048619522	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
accuracy	31.245244913329504	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0.015625	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x))
accuracy	0.021816259768442016	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
accuracy	0.021816259768442016	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))
accuracy	29.255977554454063	(-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x)))

Samples

40.0ms	50×	2	valid
31.0ms	72×	1	valid
25.0ms	134×	0	valid

Compiler

Compiled 416 to 58 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 17.0ms (30.2% of total)

ival-div: 12.0ms (21.3% of total)

ival-add: 10.0ms (17.8% of total)

adjust: 10.0ms (17.8% of total)

ival-sub: 7.0ms (12.4% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

19 → 65

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (* 1 (- x 1)) (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (- x 1) (- (/ 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))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (* (- 1 x) x) (- 1 x) (* (/ (+ 1 x) x) (- x 1)) (* (/ (+ 1 x) x) (+ 1 x)) (/ (+ x 1) (- x 1)))
2.0ms	x	@	inf	((/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (* 1 (- x 1)) (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (- x 1) (- (/ 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))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (* (- 1 x) x) (- 1 x) (* (/ (+ 1 x) x) (- x 1)) (* (/ (+ 1 x) x) (+ 1 x)) (/ (+ x 1) (- x 1)))
2.0ms	x	@	0	((/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (* 1 (- x 1)) (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (- x 1) (- (/ 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))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (* (- 1 x) x) (- 1 x) (* (/ (+ 1 x) x) (- x 1)) (* (/ (+ 1 x) x) (+ 1 x)) (/ (+ x 1) (- x 1)))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify169.0ms (2.9%)

Memory

-29.0MiB live, 201.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	504
1	443	470
2	1125	441
3	4058	425
0	8214	395

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

rewrite210.0ms (3.6%)

Memory

8.5MiB live, 249.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	195
0	51	189
1	250	173
2	2485	173
0	8828	172

Stop Event

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

Counts

19 → 829

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) x)
(.f64 (.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #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 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (pow.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)))
(.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))) #s(literal -1 binary64)))
(.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.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 -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #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 (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #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 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.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 -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (fma.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -3 binary64)) (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -3 binary64)) (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -3 binary64)) (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -3 binary64)) (+.f64 (+.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (.f64 x x))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))) (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.f64 x #s(literal 1 binary64)))))
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eval156.0ms (2.7%)

Memory: -1.9MiB live, 234.3MiB allocated
Compiler: Compiled 28 597 to 2 905 computations (89.8% saved)

prune21.0ms (0.4%)

Memory

28.4MiB live, 66.1MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	827	8	835
Fresh	6	1	7
Picked	1	4	5
Done	0	1	1
Total	834	14	848

Accuracy

100.0%

Counts

848 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
▶	100.0%	(/.f64 #s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
✓	54.8%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	51.4%	(-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	50.9%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
	50.0%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x))
	49.1%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))
	49.9%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))
	15.8%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (*.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))))
▶	50.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
▶	50.8%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)))
✓	50.9%	#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))))
✓	51.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 636 to 329 computations (48.3% saved)

simplify146.0ms (2.5%)

Memory

-3.8MiB live, 200.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	64	(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	128	(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
cost-diff	192	(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff	320	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	384	(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))
cost-diff	0	(fma.f64 x 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)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)))
cost-diff	6464	(+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x))
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 #s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
cost-diff	320	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	292
0	68	273
1	138	270
2	384	249
3	1155	246
4	4728	242
0	8240	239

Stop Event

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

Calls

Call 1

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

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

localize170.0ms (2.9%)

Memory

-24.4MiB live, 211.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	15.262845284473338	(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	29.430916909400203	(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy	0.0	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	31.393432294886615	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	0.09765625	(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))
accuracy	0.10546875	(.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)
accuracy	7.76556101073638	(+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x))
accuracy	31.393432294886615	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)))
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy	31.439821409266997	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	0.021816259768442016	(/.f64 #s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
accuracy	0.021816259768442016	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))

Samples

55.0ms	119×	0	valid
43.0ms	64×	2	valid
34.0ms	64×	1	valid
7.0ms	9×	3	valid

Compiler

Compiled 558 to 80 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-div: 43.0ms (38.7% of total)

ival-mult: 26.0ms (23.4% of total)

ival-add: 17.0ms (15.3% of total)

adjust: 17.0ms (15.3% of total)

ival-sub: 7.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

21 → 49

Calls

Call 1

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

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

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify164.0ms (2.8%)

Memory

6.9MiB live, 170.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	319
1	293	294
2	765	280
3	2990	280
4	7067	280
0	8125	258

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

rewrite198.0ms (3.4%)

Memory

23.6MiB live, 208.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	257
0	68	230
1	339	211
2	3476	211
0	8972	209

Stop Event

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

Counts

21 → 834

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (neg.f64 (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (neg.f64 x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 x (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) x))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 x (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 x (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
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eval236.0ms (4.1%)

Memory: -7.8MiB live, 196.0MiB allocated
Compiler: Compiled 33 664 to 3 147 computations (90.7% saved)

prune21.0ms (0.4%)

Memory

-22.1MiB live, 49.9MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	996	3	999
Fresh	3	1	4
Picked	4	1	5
Done	1	4	5
Total	1 004	9	1 013

Accuracy

100.0%

Counts

1 013 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	26.4%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
✓	54.8%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	76.0%	(.f64 (/.f64 #s(approx (- ( 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) x)
✓	50.9%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
▶	49.9%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))
✓	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
✓	50.9%	#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))))
✓	51.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 207 to 116 computations (44% saved)

simplify152.0ms (2.6%)

Memory

17.7MiB live, 108.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	233
0	42	218
1	97	214
2	282	209
3	919	207
4	4402	207
0	8183	196

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (2.7%)

Memory

-20.2MiB live, 180.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
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	0.0	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	15.262845284473338	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	(*.f64 #s(literal -3 binary64) x)
accuracy	15.262845284473338	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	31.915989287195856	#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
accuracy	0.0	#s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64))))
accuracy	0.00390625	(-.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))
accuracy	0.4023018409257767	(/.f64 #s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	14.895441840596611	(.f64 (/.f64 #s(approx (- ( 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) x)
accuracy	0.0	(/.f64 #s(literal -3 binary64) x)
accuracy	32.085779566013244	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))

Samples

74.0ms	105×	1	valid
34.0ms	18×	2	valid
26.0ms	133×	0	valid

Compiler

Compiled 436 to 61 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-div: 44.0ms (39.3% of total)

adjust: 30.0ms (26.8% of total)

ival-mult: 19.0ms (17% of total)

ival-add: 8.0ms (7.2% of total)

ival-sub: 5.0ms (4.5% of total)

ival-pow: 5.0ms (4.5% 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

18.2MiB live, 18.2MiB allocated

Counts

13 → 30

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify114.0ms (2%)

Memory

-8.2MiB live, 110.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	245
1	175	227
2	444	220
3	1238	216
4	3656	210
5	6418	210
0	8062	196

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

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

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

rewrite156.0ms (2.7%)

Memory

4.9MiB live, 160.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	211
0	42	196
1	232	184
2	2108	180
0	8477	176

Stop Event

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

Counts

13 → 240

Calls

Call 1

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

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

eval49.0ms (0.9%)

Memory: 13.1MiB live, 50.9MiB allocated
Compiler: Compiled 12 658 to 1 019 computations (91.9% saved)

prune24.0ms (0.4%)

Memory

-13.0MiB live, 25.5MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	377	4	381
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	380	10	390

Accuracy

100.0%

Counts

390 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.2%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
	25.3%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
	25.9%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (.f64 #s(literal -3 binary64) x)) #s(approx (+ ( x x) -1) (*.f64 x x)))
	76.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))
✓	50.9%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
	49.6%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓	49.9%	#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))
✓	51.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
✓	50.9%	#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))))
✓	51.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 966 to 271 computations (71.9% saved)

regimes16.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

28 → 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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- 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))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (.f64 #s(literal -3 binary64) x)) #s(approx (+ ( x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #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))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 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))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (- ( 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) x)
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (*.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))))

Outputs

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

Calls

2 calls:

8.0ms	x
7.0ms	(-.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
100.0%	1	`x`
100.0%	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)

regimes72.0ms (1.2%)

Memory

-24.5MiB live, 14.1MiB allocated

Counts

22 → 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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- 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))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (.f64 #s(literal -3 binary64) x)) #s(approx (+ ( x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #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))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 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))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))

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

Calls

2 calls:

65.0ms	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
100.0%	3	`x`
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 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

19 → 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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- 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))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (.f64 #s(literal -3 binary64) x)) #s(approx (+ ( x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #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))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))

Outputs

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

(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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
99.7%	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

5.0MiB live, 5.0MiB 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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- 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))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (.f64 #s(literal -3 binary64) x)) #s(approx (+ ( x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)))

Outputs

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

(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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
99.5%	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

4.4MiB live, 4.4MiB 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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- 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))))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (.f64 #s(literal -3 binary64) x)) #s(approx (+ ( x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.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
98.6%	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)

regimes3.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

7 → 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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- 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
98.6%	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)

regimes4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #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))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #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
51.3%	1	`x`
51.3%	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)

regimes3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Accuracy

Total -0.7b remaining (-2.2%)

Threshold costs -0.7b (-2.2%)

Counts

3 → 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 (/ (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (* (/ (+ 1 x) x) (- x 1))) (fma.f64 #s(literal 3 binary64) 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
1.0ms	(-.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
51.2%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`
51.2%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	9.2148511043888e-15

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	9.2148511043888e-15

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	9.2148511043888e-15

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0038688439096948857	0.9999999932829953

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0038688439096948857	0.9999999932829953

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify103.0ms (1.8%)

Memory

-44.2MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	356
1	114	353
2	262	353
3	634	353
4	1862	353
5	6670	353

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.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 0 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 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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 5764607523034235/1152921504606846976 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 5764607523034235/1152921504606846976 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))) (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
(/.f64 #s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (- (* 1 (- x 1)) (* (/ (+ 1 x) x) (+ 1 x))) (-.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.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 0 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 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x 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 5764607523034235/1152921504606846976 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 5764607523034235/1152921504606846976 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))) (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))

soundness1.4s (23.6%)

Memory

22.1MiB live, 526.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	319
1	293	294
2	765	280
3	2990	280
4	7067	280
0	8125	258
0	150	504
1	443	470
2	1125	441
3	4058	425
0	8214	395
0	95	272
1	262	263
2	587	251
3	1514	235
4	3759	233
5	6729	233
0	8127	222
0	7	28
0	12	28
1	67	28
2	704	28
0	8093	28

Stop Event

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

Compiler

Compiled 543 to 166 computations (69.4% saved)

preprocess86.0ms (1.5%)

Memory: 12.0MiB live, 107.4MiB allocated
Compiler: Compiled 748 to 148 computations (80.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.0s (18%)

explain109.0ms (1.9%)

preprocess58.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.5%)

localize33.0ms (0.6%)

series2.0ms (0%)

simplify132.0ms (2.3%)

rewrite182.0ms (3.1%)

eval92.0ms (1.6%)

prune14.0ms (0.2%)

simplify140.0ms (2.4%)

localize131.0ms (2.3%)

series8.0ms (0.1%)

simplify169.0ms (2.9%)

rewrite210.0ms (3.6%)

eval156.0ms (2.7%)

prune21.0ms (0.4%)

simplify146.0ms (2.5%)

localize170.0ms (2.9%)

series8.0ms (0.1%)

simplify164.0ms (2.8%)

rewrite198.0ms (3.4%)

eval236.0ms (4.1%)

prune21.0ms (0.4%)

simplify152.0ms (2.6%)

localize155.0ms (2.7%)

series5.0ms (0.1%)

simplify114.0ms (2%)

rewrite156.0ms (2.7%)

eval49.0ms (0.9%)

prune24.0ms (0.4%)

regimes16.0ms (0.3%)

regimes72.0ms (1.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify103.0ms (1.8%)

soundness1.4s (23.6%)

preprocess86.0ms (1.5%)

end0.0ms (0%)

Profiling