Metrics for 2frac (problem 3.3.1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	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 11 to 8 computations (27.3% saved)

sample953.0ms (11.5%)

Memory

-22.7MiB live, 1 419.8MiB allocated

Samples

421.0ms	3 861×	1	valid
223.0ms	4 395×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 441.0ms

ival-div: 195.0ms (44.2% of total)

ival-add: 94.0ms (21.3% of total)

adjust: 79.0ms (17.9% of total)

ival-sub: 60.0ms (13.6% of total)

ival-true: 5.0ms (1.1% of total)

exact: 5.0ms (1.1% of total)

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

Bogosity

explain118.0ms (1.4%)

Memory

12.9MiB live, 177.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`	cancellation	74	0

Confusion

	Predicted +	Predicted -
+	74	0
-	0	182

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	0
-	0	0	182

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms	212×	1	valid
15.0ms	300×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 11.0ms (49.7% of total)

ival-add: 4.0ms (18.1% of total)

adjust: 3.0ms (13.6% of total)

ival-sub: 3.0ms (13.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess26.0ms (0.3%)

Memory

-5.5MiB live, 35.3MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
56×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify20.0ms (0.2%)

Memory

-22.2MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
56×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.3%)

Memory

33.8MiB live, 33.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	16.200726128577116	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

10.0ms	106×	1	valid
7.0ms	150×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (46.5% of total)

adjust: 2.0ms (18.6% of total)

ival-add: 2.0ms (18.6% of total)

ival-sub: 2.0ms (18.6% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-33.2MiB live, 5.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(+ x 1)
0.0ms	x	@	-inf	(- (/ 1 (+ x 1)) (/ 1 x))
0.0ms	x	@	0	(- (/ 1 (+ x 1)) (/ 1 x))
0.0ms	x	@	inf	(- (/ 1 (+ x 1)) (/ 1 x))
0.0ms	x	@	-inf	(/ 1 x)

simplify312.0ms (3.7%)

Memory

17.1MiB live, 451.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 772×	`lower-fma.f64`
11 772×	`lower-fma.f32`
2 744×	`lower-*.f64`
2 744×	`lower-*.f32`
2 284×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	293
1	129	226
2	271	216
3	643	210
4	1442	210
5	3738	208
6	5736	206
7	7270	206
0	8149	201

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

Calls

Call 1

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

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

rewrite231.0ms (2.8%)

Memory

32.0MiB live, 343.1MiB allocated

Rules

2 900×	`lower-fma.f64`
2 900×	`lower-fma.f32`
1 990×	`lower-*.f64`
1 990×	`lower-*.f32`
1 480×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18

Stop Event

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

Counts

4 → 325

Calls

Call 1

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

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

eval89.0ms (1.1%)

Memory: -47.8MiB live, 104.2MiB allocated
Compiler: Compiled 8 597 to 914 computations (89.4% saved)

prune68.0ms (0.8%)

Memory

19.0MiB live, 97.2MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	358	11	369
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	358	12	370

Accuracy

99.2%

Counts

370 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.0%	(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x x) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
✓	74.6%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	55.5%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
	55.3%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	32.6%	(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	33.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
	27.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (*.f64 x x)))
▶	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x)))
▶	45.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶	56.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶	2.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (+.f64 x #s(literal 2 binary64)))
▶	55.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 300 to 150 computations (50% saved)

simplify339.0ms (4.1%)

Memory

8.0MiB live, 437.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

7 732×	`lower-fma.f64`
7 732×	`lower-fma.f32`
4 608×	`lower-*.f32`
4 604×	`lower-*.f64`
1 420×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	163
0	35	163
1	56	163
2	92	163
3	165	163
4	309	163
5	728	163
6	1241	163
7	2072	163
8	3298	163
9	4257	163
10	4908	163
11	5557	163
12	6093	163
13	6779	163
14	7899	163
0	8026	161

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (1.4%)

Memory

-43.6MiB live, 128.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.5180163731265828	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))
accuracy	10.573252296195824	(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
accuracy	34.100895140928586	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x)))
accuracy	0	(+.f64 #s(literal -1 binary64) x)
accuracy	0.00390625	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
accuracy	0.0078125	(+.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy	28.80801364413097	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
accuracy	0	(*.f64 x x)
accuracy	0.5570788731265828	(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy	34.501042880523066	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy	0	(+.f64 x #s(literal 2 binary64))
accuracy	62.17793235116196	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (+.f64 x #s(literal 2 binary64)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	27.884455869720515	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Samples

72.0ms	106×	1	valid
19.0ms	150×	0	valid

Compiler

Compiled 127 to 20 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

adjust: 38.0ms (50.4% of total)

ival-sub: 14.0ms (18.6% of total)

ival-div: 11.0ms (14.6% of total)

ival-add: 7.0ms (9.3% of total)

ival-mult: 4.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- x 1) (pow x 2))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1)>
#<alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- x 1) (pow x 2))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt (* x (- 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1)>
#<alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1)>
#<alt (pow x (- x 1))>
#<alt (pow x (- x 1))>
#<alt (pow x (- x 1))>
#<alt (pow x (- x 1))>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>

Calls

45 calls:

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

simplify432.0ms (5.2%)

Memory

-11.7MiB live, 734.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 966×	`lower-fma.f64`
16 966×	`lower-fma.f32`
3 908×	`lower-*.f64`
3 908×	`lower-*.f32`
2 304×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	1107
1	160	1072
2	372	906
3	1065	869
4	3807	840
0	8138	829

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 165

Calls

Call 1

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

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

rewrite336.0ms (4%)

Memory

5.5MiB live, 600.0MiB allocated

Rules

5 176×	`lower-/.f32`
5 166×	`lower-/.f64`
4 684×	`lower-fma.f64`
4 684×	`lower-fma.f32`
4 596×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	143
0	35	143
1	160	141
2	1405	141
0	8710	133

Stop Event

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

Counts

15 → 543

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64))) (fma.f64 x (.f64 x x) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64))) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (+.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -2 binary64))) (.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64))) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x (neg.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(+.f64 (fma.f64 x x (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (fma.f64 x x (neg.f64 x)))
(+.f64 (.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) x) (.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) x))
(+.f64 (.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x (neg.f64 x))) (-.f64 (fma.f64 x x (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (-.f64 (fma.f64 x x (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (fma.f64 x x (neg.f64 x)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (neg.f64 x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) (fma.f64 x x (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x)))
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eval103.0ms (1.2%)

Memory: 29.3MiB live, 222.7MiB allocated
Compiler: Compiled 17 135 to 1 687 computations (90.2% saved)

prune133.0ms (1.6%)

Memory

11.1MiB live, 247.5MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	788	8	796
Fresh	1	5	6
Picked	2	3	5
Done	0	1	1
Total	791	17	808

Accuracy

99.9%

Counts

808 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
▶	55.5%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	55.3%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	32.6%	(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	13.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x x) (*.f64 x x))))
	33.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
▶	27.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (*.f64 x x)))
	44.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) #s(approx (/ (+ -1 x) (* x x)) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))
✓	45.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	56.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	26.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
▶	55.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
✓	55.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
	2.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (+.f64 x #s(literal -2 binary64))))
	3.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) #s(literal -1 binary64)))
▶	3.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (+ x 2) #s(literal 2 binary64)))

Compiler

Compiled 315 to 166 computations (47.3% saved)

simplify520.0ms (6.3%)

Memory

-18.6MiB live, 477.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))
cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x))))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (*.f64 x x)))
cost-diff	256	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (*.f64 x x))
cost-diff	0	(+.f64 #s(literal -1 binary64) x)
cost-diff	0	(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
cost-diff	192	(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (+ x 2) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (+ x 2) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))

Rules

15 202×	`lower-fma.f32`
15 200×	`lower-fma.f64`
3 790×	`lower-*.f32`
3 784×	`lower-*.f64`
1 428×	`lower-/.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	29	213
0	43	203
1	71	203
2	124	203
3	240	203
4	448	203
5	1107	200
6	3044	192
7	5774	192
8	7836	192
0	8138	192

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (1.7%)

Memory

-1.3MiB live, 118.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 x (.f64 x x))
accuracy	0.5141101231265828	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (*.f64 x x))
accuracy	18.33525881028662	(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))
accuracy	34.89576359344301	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (*.f64 x x)))
accuracy	0	(+.f64 #s(literal -1 binary64) x)
accuracy	0.00390625	(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy	10.51106041129003	(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
accuracy	28.80801364413097	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	16.200726128577116	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	28.39786942995309	#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy	28.513716139607155	#s(approx (+ x 2) #s(literal 2 binary64))
accuracy	62.17793235116196	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (+ x 2) #s(literal 2 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	16.200726128577116	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	28.94581575472505	#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))

Samples

90.0ms	106×	1	valid
21.0ms	150×	0	valid

Compiler

Compiled 173 to 22 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

adjust: 40.0ms (45.4% of total)

ival-div: 29.0ms (32.9% of total)

ival-add: 8.0ms (9.1% of total)

ival-mult: 5.0ms (5.7% of total)

ival-sub: 5.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-17.2MiB live, 20.5MiB allocated

Counts

17 → 204

Calls

Call 1

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

Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1 x))) 1)>
#<alt (- (* x (+ 1 (* x (- x 1)))) 1)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (/ 1 x)))>
#<alt (* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (- x 1))) (pow x 3))>
#<alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 3))>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (- x 1))) (pow x 3))>
#<alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 3))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)>
#<alt (pow x (- (+ 1 (pow x 2)) x))>
#<alt (pow x (- (+ 1 (pow x 2)) x))>
#<alt (pow x (- (+ 1 (pow x 2)) x))>
#<alt (pow x (- (+ 1 (pow x 2)) x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x))))
1.0ms	x	@	0	(/ (+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x)))) (* x x))
1.0ms	x	@	-inf	(/ (+ (* x x) 1) x)
1.0ms	x	@	-inf	(* x (* x x))
1.0ms	x	@	inf	(+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x))))

simplify372.0ms (4.5%)

Memory

-3.6MiB live, 275.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 090×	`lower-fma.f64`
11 090×	`lower-fma.f32`
2 578×	`lower-*.f64`
2 578×	`lower-*.f32`
1 490×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1341
1	217	1140
2	583	1080
3	1850	1068
4	5443	1024
0	8117	987

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 191

Calls

Call 1

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

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

rewrite408.0ms (4.9%)

Memory

18.9MiB live, 572.5MiB allocated

Rules

4 804×	`lower-/.f32`
4 796×	`lower-/.f64`
4 360×	`lower-*.f32`
4 354×	`lower-*.f64`
3 896×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	182
0	43	172
1	207	172
2	1925	172
0	8405	162

Stop Event

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

Counts

17 → 558

Calls

Call 1

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

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

eval102.0ms (1.2%)

Memory: 14.1MiB live, 244.3MiB allocated
Compiler: Compiled 18 696 to 1 898 computations (89.8% saved)

prune88.0ms (1.1%)

Memory

15.1MiB live, 250.6MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	771	4	775
Fresh	2	6	8
Picked	0	5	5
Done	0	4	4
Total	773	19	792

Accuracy

99.9%

Counts

792 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	55.5%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓	55.3%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	32.6%	(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	10.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (/.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))))) (.f64 x x)))
▶	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
▶	13.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x x) (*.f64 x x))))
▶	33.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
✓	27.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (*.f64 x x)))
	44.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) #s(approx (/ (- (+ (* x x) 1) x) (* x (* x x))) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))
	16.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (.f64 x x)))
✓	45.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	56.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶	26.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓	55.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
✓	55.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
▶	3.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x)))) (* x x)) #s(literal -1 binary64)))
	2.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (+.f64 x #s(literal -2 binary64))))
✓	3.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (+ x 2) #s(literal 2 binary64)))

Compiler

Compiled 491 to 194 computations (60.5% saved)

simplify383.0ms (4.6%)

Memory

-11.6MiB live, 826.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
cost-diff	13632	(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(-.f64 x (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x x) (*.f64 x x))))
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
cost-diff	0	#s(approx (/ (+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x)))) (* x x)) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x)))) (* x x)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
cost-diff	384	(/.f64 (/.f64 #s(literal -1 binary64) x) x)

Rules

17 692×	`lower-fma.f32`
17 690×	`lower-fma.f64`
3 324×	`lower-*.f32`
3 316×	`lower-*.f64`
1 430×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	225
0	51	197
1	93	191
2	181	191
3	358	191
4	703	187
5	1915	183
6	5796	183
0	8105	183

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (1.9%)

Memory

0.9MiB live, 238.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
accuracy	0.08203125	(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
accuracy	0.10384750976844201	(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
accuracy	14.201386554045833	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
accuracy	0.00390625	(-.f64 x (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.07421875	(.f64 (.f64 x x) (*.f64 x x))
accuracy	11.01112599464273	(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
accuracy	13.906386145084563	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x x) (*.f64 x x))))
accuracy	0	(*.f64 x x)
accuracy	0.05078125	(.f64 x (.f64 x x))
accuracy	4.0455173875771075	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
accuracy	14.858326866477793	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
accuracy	14.708706320928789	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x)))) (* x x)) #s(literal -1 binary64)))
accuracy	30.167195338565755	#s(approx (/ (+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x)))) (* x x)) #s(literal -1 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.08203125	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	14.201386554045833	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))

Samples

62.0ms	132×	0	invalid
20.0ms	58×	1	valid
19.0ms	66×	0	valid

Compiler

Compiled 165 to 28 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 17.0ms (40.5% of total)

ival-add: 6.0ms (14.3% of total)

ival-mult: 6.0ms (14.3% of total)

ival-sub: 6.0ms (14.3% of total)

adjust: 3.0ms (7.2% of total)

ival-pow: 3.0ms (7.2% of total)

exact: 1.0ms (2.4% of total)

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

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

series56.0ms (0.7%)

Memory

18.6MiB live, 57.8MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (- x 1))) (pow x 3))>
#<alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 3))>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x (- 1 x))>
#<alt (pow x (- 1 x))>
#<alt (pow x (- 1 x))>
#<alt (pow x (- 1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x (- x (+ 1 (pow x 2))))>
#<alt (pow x (- x (+ 1 (pow x 2))))>
#<alt (pow x (- x (+ 1 (pow x 2))))>
#<alt (pow x (- x (+ 1 (pow x 2))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1 x))) 1)>
#<alt (- (* x (+ 1 (* -1 x))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ (pow (sqrt -1) 2) (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (sqrt (/ 1 (pow x 3)))>
#<alt (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>

Calls

60 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	(- x (+ (* x x) 1))
2.0ms	x	@	0	(/ (pow x -1/2) x)
1.0ms	x	@	-inf	(/ (pow x -1/2) x)
1.0ms	x	@	-inf	(* (/ (pow x -1/2) x) (/ (pow x -1/2) -1))
1.0ms	x	@	-inf	(* x (* x x))

simplify691.0ms (8.3%)

Memory

-14.4MiB live, 670.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 494×	`lower-fma.f64`
18 494×	`lower-fma.f32`
3 954×	`lower-*.f64`
3 954×	`lower-*.f32`
2 400×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1535
1	181	1463
2	437	1210
3	1225	1208
4	3469	1188
5	6811	1188
0	8173	1157

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

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

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

rewrite327.0ms (3.9%)

Memory

2.1MiB live, 521.4MiB allocated

Rules

4 622×	`lower-/.f32`
4 610×	`lower-/.f64`
3 880×	`lower-*.f32`
3 872×	`lower-*.f64`
2 588×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	212
0	51	184
1	235	171
2	1990	171
0	8208	164

Stop Event

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

Counts

20 → 647

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (neg.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal -1 binary64) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 x (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) x))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 (log.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) x))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))

eval109.0ms (1.3%)

Memory: 15.0MiB live, 241.4MiB allocated
Compiler: Compiled 18 426 to 1 773 computations (90.4% saved)

prune104.0ms (1.3%)

Memory

-0.0MiB live, 249.0MiB allocated

Pruning

22 alts after pruning (10 fresh and 12 done)

	Pruned	Kept	Total
New	944	6	950
Fresh	1	4	5
Picked	2	3	5
Done	0	9	9
Total	947	22	969

Accuracy

100.0%

Counts

969 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	55.5%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓	55.3%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	32.6%	(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
	10.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (/.f64 (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))))) (.f64 x x)))
	18.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (.f64 x (.f64 x x))))
✓	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	13.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 x (*.f64 x x)) x)))
✓	33.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
✓	27.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x (.f64 x x)))) (*.f64 x x)))
	26.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
	16.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x x)))) (.f64 x x)))
✓	45.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	56.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	26.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
	13.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
	33.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
✓	55.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
✓	55.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	3.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (- (+ (* x x) 1) x) (* x (* x x)))) (* x x)) #s(literal -1 binary64)))
	2.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) (+.f64 x #s(literal -2 binary64))))
✓	3.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (+ x 2) #s(literal 2 binary64)))

Compiler

Compiled 743 to 232 computations (68.8% saved)

regimes20.0ms (0.2%)

Memory

5.2MiB live, 43.7MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
8.0ms	x

Results

Accuracy	Segments	Branch
99.3%	3	`x`
99.3%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes10.0ms (0.1%)

Memory

-15.7MiB live, 23.5MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
4.0ms	x

Results

Accuracy	Segments	Branch
98.5%	3	`x`
98.5%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes9.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.5%	3	`x`
98.5%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes10.0ms (0.1%)

Memory

-21.2MiB live, 20.1MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
4.0ms	x

Results

Accuracy	Segments	Branch
97.9%	3	`x`
97.9%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes7.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	3	`x`
97.8%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes8.0ms (0.1%)

Memory

-22.5MiB live, 16.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
3.0ms	x

Results

Accuracy	Segments	Branch
97.7%	3	`x`
97.7%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0.1%)

Memory

10.0MiB live, 9.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
3.5%	1	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory

-32.7MiB live, 6.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
3.0%	1	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.64174844116775e+20
0.0ms	-1.4926104769650867e-11	-7.678627153450258e-22

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.64174844116775e+20
0.0ms	-3.8865345644845366	-5.5244663458382717e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.64174844116775e+20
0.0ms	-3.8865345644845366	-5.5244663458382717e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.64174844116775e+20
0.0ms	-3.8865345644845366	-5.5244663458382717e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.64174844116775e+20
0.0ms	-3.8865345644845366	-5.5244663458382717e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.64174844116775e+20
0.0ms	-3.8865345644845366	-5.5244663458382717e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify11.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	456
1	69	456
2	80	456
3	86	456
4	93	456
5	95	456
6	98	456
7	100	456
8	101	456

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -6189700196426901/618970019642690137449562112 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (+ x 2) #s(literal 2 binary64)))

Outputs
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -6189700196426901/618970019642690137449562112 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -6189700196426901/618970019642690137449562112 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (+.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (+.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (+ -1 (/ (+ -1 x) (* x x))) (* x x)) #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (+ x 2) #s(literal 2 binary64)))

soundness1.3s (16.1%)

Memory

-3.9MiB live, 675.2MiB allocated

Rules

16 966×	`lower-fma.f64`
16 966×	`lower-fma.f32`
11 772×	`lower-fma.f64`
11 772×	`lower-fma.f32`
5 176×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	1107
1	160	1072
2	372	906
3	1065	869
4	3807	840
0	8138	829
0	46	293
1	129	226
2	271	216
3	643	210
4	1442	210
5	3738	208
6	5736	206
7	7270	206
0	8149	201
0	24	143
0	35	143
1	160	141
2	1405	141
0	8710	133

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

Compiler

Compiled 433 to 143 computations (67% saved)

preprocess80.0ms (1%)

Memory: 24.6MiB live, 141.7MiB allocated
Compiler: Compiled 590 to 106 computations (82% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

start0.0ms (0%)

analyze2.0ms (0%)

sample953.0ms (11.5%)

explain118.0ms (1.4%)

preprocess26.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize25.0ms (0.3%)

series9.0ms (0.1%)

simplify312.0ms (3.7%)

rewrite231.0ms (2.8%)

eval89.0ms (1.1%)

prune68.0ms (0.8%)

simplify339.0ms (4.1%)

localize117.0ms (1.4%)

series13.0ms (0.2%)

simplify432.0ms (5.2%)

rewrite336.0ms (4%)

eval103.0ms (1.2%)

prune133.0ms (1.6%)

simplify520.0ms (6.3%)

localize139.0ms (1.7%)

series19.0ms (0.2%)

simplify372.0ms (4.5%)

rewrite408.0ms (4.9%)

eval102.0ms (1.2%)

prune88.0ms (1.1%)

simplify383.0ms (4.6%)

localize162.0ms (1.9%)

series56.0ms (0.7%)

simplify691.0ms (8.3%)

rewrite327.0ms (3.9%)

eval109.0ms (1.3%)

prune104.0ms (1.3%)

regimes20.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.3s (16.1%)

preprocess80.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22