Metrics for Asymptote C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB 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)

sample850.0ms (20.5%)

Memory

327.7MiB live, 327.7MiB allocated

Samples

222.0ms	2 436×	1	valid
208.0ms	1 497×	2	valid
180.0ms	4 323×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

ival-div: 170.0ms (38% of total)

ival-sub: 105.0ms (23.4% of total)

adjust: 89.0ms (19.9% of total)

ival-add: 70.0ms (15.6% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain133.0ms (3.2%)

Memory

74.1MiB live, 74.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(-.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	119	0

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

15.0ms	94×	2	valid
15.0ms	140×	1	valid
14.0ms	278×	0	valid

Compiler

Compiled 149 to 55 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 11.0ms (38.9% of total)

ival-sub: 7.0ms (24.8% of total)

adjust: 6.0ms (21.2% of total)

ival-add: 4.0ms (14.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess52.0ms (1.3%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	23	31
2	62	27
3	178	26
4	414	26
5	853	26
6	1181	26
7	1340	26
8	1418	26
9	1428	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	371	13
8	876	13
9	1137	13
10	1221	13
11	1231	13
0	1231	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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(-.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)

simplify25.0ms (0.6%)

Memory

2.4MiB live, 2.4MiB 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	371	33
8	876	33
9	1137	33
10	1221	33
11	1231	33
0	1231	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))

localize28.0ms (0.7%)

Memory

11.3MiB live, 11.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	0.015625	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	27.739102742476067	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

7.0ms	47×	2	valid
7.0ms	70×	1	valid
7.0ms	139×	0	valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

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

ival-div: 5.0ms (36% of total)

adjust: 3.0ms (21.6% of total)

ival-sub: 3.0ms (21.6% of total)

ival-add: 2.0ms (14.4% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB 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)))
0.0ms	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)))

0.0ms

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

simplify102.0ms (2.5%)

Memory

25.4MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	272
1	262	263
2	585	251
3	1504	235
4	3731	233
5	6694	233
0	8053	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))

rewrite123.0ms (3%)

Memory

57.2MiB live, 57.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	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)))

eval41.0ms (1%)

Memory: 38.3MiB live, 38.3MiB allocated
Compiler: Compiled 11 740 to 1 315 computations (88.8% saved)

prune10.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	402	10	412
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	402	11	413

Accuracy

100.0%

Counts

413 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
	55.1%	(/.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)))
	55.0%	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
✓	56.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	53.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
	53.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
	47.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
▶	47.8%	#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))
	47.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	53.3%	#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))))
▶	53.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 413 to 237 computations (42.6% saved)

simplify110.0ms (2.7%)

Memory

32.4MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
cost-diff	0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
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	320	(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	512	(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
cost-diff	768	(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	832	(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	227
0	55	221
1	101	218
2	231	218
3	601	218
4	1589	196
5	4219	196
0	8265	196

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (2.3%)

Memory

40.7MiB live, 40.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
accuracy	0.05859375	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
accuracy	0.06640625	(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
accuracy	33.39101909283856	#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))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy	0.046875	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy	29.90956066735755	#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	(+.f64 #s(literal 3 binary64) x)
accuracy	0.00390625	(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
accuracy	29.687592079134713	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
accuracy	29.65186755163491	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
accuracy	0.01171875	(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
accuracy	28.462335810840536	(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))

Samples

25.0ms	139×	0	valid
25.0ms	68×	1	valid
24.0ms	49×	2	valid

Compiler

Compiled 435 to 67 computations (84.6% saved)

Precisions

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

ival-mult: 15.0ms (27% of total)

ival-div: 13.0ms (23.4% of total)

ival-add: 12.0ms (21.6% of total)

adjust: 10.0ms (18% of total)

ival-sub: 5.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

17 → 51

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify98.0ms (2.4%)

Memory

29.6MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	360
1	292	339
2	818	309
3	3309	309
4	7254	309
0	8074	290

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

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

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

rewrite133.0ms (3.2%)

Memory

56.5MiB live, 56.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	195
0	55	189
1	283	183
2	2820	183
0	8896	181

Stop Event

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

Counts

17 → 607

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 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 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) x)
(*.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) 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 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) #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) (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) x))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(/.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x))) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) 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 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 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 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (pow.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) x) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (neg.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64)))

eval86.0ms (2.1%)

Memory: 65.0MiB live, 65.0MiB allocated
Compiler: Compiled 23 531 to 2 525 computations (89.3% saved)

prune25.0ms (0.6%)

Memory

28.0MiB live, 28.0MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	698	4	702
Fresh	3	2	5
Picked	1	4	5
Done	0	1	1
Total	702	11	713

Accuracy

100.0%

Counts

713 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.1%	(/.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)))
▶	55.0%	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
▶	100.0%	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓	56.6%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	53.3%	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
▶	47.0%	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
▶	47.9%	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.f64 #s(literal -3 binary64) x))
✓	53.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
✓	47.8%	#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))
✓	53.3%	#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))))
✓	53.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 430 to 245 computations (43% saved)

simplify129.0ms (3.1%)

Memory

33.4MiB live, 33.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
cost-diff	192	(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff	768	(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
cost-diff	0	(/.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.f64 #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)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
cost-diff	512	(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	267
0	54	257
1	94	233
2	216	233
3	542	233
4	1784	171
5	6344	171
0	8181	165

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (2.5%)

Memory

36.3MiB live, 36.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
accuracy	14.547590125963586	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	28.304578605460414	(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy	0.0546875	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
accuracy	33.8961925251209	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
accuracy	0	(/.f64 #s(literal -3 binary64) x)
accuracy	33.35001796093416	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.f64 #s(literal -3 binary64) x))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy	29.891551652882313	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy	0	#s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
accuracy	0.01171875	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))

Samples

37.0ms	97×	1	valid
28.0ms	139×	0	valid
10.0ms	20×	2	valid

Compiler

Compiled 526 to 65 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 17.0ms (32.8% of total)

ival-div: 13.0ms (25.1% of total)

ival-add: 11.0ms (21.2% of total)

adjust: 7.0ms (13.5% of total)

ival-sub: 3.0ms (5.8% of total)

exact: 1.0ms (1.9% of total)

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

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

series8.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

17 → 39

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify108.0ms (2.6%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	244
1	226	223
2	564	211
3	1688	209
4	4995	209
0	8095	198

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

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

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

rewrite140.0ms (3.4%)

Memory

50.2MiB live, 50.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	231
0	54	221
1	233	197
2	2022	192
0	8593	192

Stop Event

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

Counts

17 → 537

Calls

Call 1

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

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

eval88.0ms (2.1%)

Memory: 57.7MiB live, 57.7MiB allocated
Compiler: Compiled 22 575 to 2 190 computations (90.3% saved)

prune20.0ms (0.5%)

Memory

24.2MiB live, 24.2MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	633	3	636
Fresh	1	0	1
Picked	3	2	5
Done	1	4	5
Total	638	9	647

Accuracy

100.0%

Counts

647 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	25.7%	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
▶	77.2%	(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) x)
✓	53.3%	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
✓	47.9%	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.f64 #s(literal -3 binary64) x))
✓	53.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
✓	47.8%	#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))
✓	53.3%	#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))))
✓	53.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 225 to 134 computations (40.4% saved)

simplify115.0ms (2.8%)

Memory

29.3MiB live, 29.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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 (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (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 (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x))
cost-diff	0	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) x)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	205
0	38	192
1	71	185
2	166	185
3	429	185
4	1358	125
5	4154	125
0	8552	125

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (2.1%)

Memory

30.1MiB live, 30.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	14.547590125963586	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	14.547590125963586	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	33.090106647355846	#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy	0	#s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
accuracy	0.4224269029182872	(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	14.017719900063073	(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) x)

Samples

33.0ms	97×	1	valid
24.0ms	139×	0	valid
9.0ms	20×	2	valid

Compiler

Compiled 384 to 56 computations (85.4% saved)

Precisions

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

ival-mult: 17.0ms (35.4% of total)

ival-add: 11.0ms (22.9% of total)

ival-div: 9.0ms (18.7% of total)

adjust: 6.0ms (12.5% of total)

ival-sub: 3.0ms (6.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series5.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

11 → 30

Calls

Call 1

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

2.0ms

-inf

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

1.0ms

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

simplify107.0ms (2.6%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	245
1	175	227
2	445	220
3	1234	216
4	3654	210
5	6308	210
0	8140	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))))))
(/ 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)
(/ -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 (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)))
(/ 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 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)))
(/ (+ 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 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
-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))
(/ -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)))
(/ -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 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (*.f64 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 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(* -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 #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 (/ (+ 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))

rewrite137.0ms (3.3%)

Memory

47.8MiB live, 47.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	185
0	38	172
1	193	165
2	1716	162
0	8887	158

Stop Event

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

Counts

11 → 274

Calls

Call 1

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

Outputs
(.f64 (/.f64 (neg.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))))
(.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (pow.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 x (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))))
(.f64 (.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) x)
(.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(.f64 (neg.f64 x) (/.f64 (neg.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(.f64 x (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (/.f64 (.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 x (neg.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x) (fma.f64 x 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))))
(/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x))))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(.f64 (neg.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 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)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (.f64 #s(approx (+ ( (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) #s(literal 1 binary64)))
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eval53.0ms (1.3%)

Memory: 36.8MiB live, 36.8MiB allocated
Compiler: Compiled 14 742 to 1 105 computations (92.5% saved)

prune17.0ms (0.4%)

Memory

19.0MiB live, 19.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	425	2	427
Fresh	0	0	0
Picked	2	1	3
Done	1	5	6
Total	428	8	436

Accuracy

100.0%

Counts

436 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
✓	77.3%	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
	24.3%	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
✓	53.3%	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
✓	47.9%	#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.f64 #s(literal -3 binary64) x))
✓	53.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
✓	53.3%	#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))))
✓	53.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 685 to 205 computations (70.1% saved)

regimes14.0ms (0.3%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

7.0ms	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%	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)

regimes13.0ms (0.3%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	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)

regimes10.0ms (0.2%)

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

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

Calls

2 calls:

5.0ms	x
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
100.0%	3	`x`
99.9%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.7%	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

2.1MiB live, 2.1MiB allocated

Counts

9 → 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)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (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)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.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 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (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
99.0%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes3.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (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)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (/.f64 #s(literal -3 binary64) 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))) (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
98.9%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes5.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Accuracy

Total -0.7b remaining (-2.3%)

Threshold costs -0.7b (-2.3%)

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)) (* (- x 1) 1)) (* (- x 1) (/ (+ 1 x) x))) (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))) #s(literal 1 binary64))

Calls

2 calls:

3.0ms	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
53.7%	1	`x`
53.7%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.551115123125783e-16

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.551115123125783e-16

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.09637648403037002	0.9999998053266814

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.09637648403037002	0.9999998053266814

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify32.0ms (0.8%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	305
1	71	305
2	84	305
3	105	305
4	118	305
5	123	305
6	125	305

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (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 (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (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 3602879701896397/36028797018963968 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 3602879701896397/36028797018963968 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Outputs
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (/ (+ 1 x) x)) (* (- x 1) 1)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.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 (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (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 (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.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 (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (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 3602879701896397/36028797018963968 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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/36028797018963968 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 #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 3602879701896397/36028797018963968 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))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

soundness964.0ms (23.3%)

Memory

6.6MiB live, 6.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28
0	82	244
1	226	223
2	564	211
3	1688	209
4	4995	209
0	8095	198
0	100	360
1	292	339
2	818	309
3	3309	309
4	7254	309
0	8074	290
0	95	272
1	262	263
2	585	251
3	1504	235
4	3731	233
5	6694	233
0	8053	222
0	28	185
0	38	172
1	193	165
2	1716	162
0	8887	158

Stop Event

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

Compiler

Compiled 484 to 165 computations (65.9% saved)

preprocess45.0ms (1.1%)

Memory: 25.0MiB live, 25.0MiB allocated
Compiler: Compiled 636 to 132 computations (79.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0.1%)

sample850.0ms (20.5%)

explain133.0ms (3.2%)

preprocess52.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.6%)

localize28.0ms (0.7%)

series2.0ms (0.1%)

simplify102.0ms (2.5%)

rewrite123.0ms (3%)

eval41.0ms (1%)

prune10.0ms (0.3%)

simplify110.0ms (2.7%)

localize96.0ms (2.3%)

series9.0ms (0.2%)

simplify98.0ms (2.4%)

rewrite133.0ms (3.2%)

eval86.0ms (2.1%)

prune25.0ms (0.6%)

simplify129.0ms (3.1%)

localize102.0ms (2.5%)

series8.0ms (0.2%)

simplify108.0ms (2.6%)

rewrite140.0ms (3.4%)

eval88.0ms (2.1%)

prune20.0ms (0.5%)

simplify115.0ms (2.8%)

localize87.0ms (2.1%)

series5.0ms (0.1%)

simplify107.0ms (2.6%)

rewrite137.0ms (3.3%)

eval53.0ms (1.3%)

prune17.0ms (0.4%)

regimes14.0ms (0.3%)

regimes13.0ms (0.3%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (0.8%)

soundness964.0ms (23.3%)

preprocess45.0ms (1.1%)

end0.0ms (0%)

Profiling