Metrics for Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

analyze1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample705.0ms (9.1%)

Memory

2.6MiB live, 793.7MiB allocated

Samples

368.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-sub: 93.0ms (56.5% of total)

ival-div: 58.0ms (35.3% of total)

ival-true: 6.0ms (3.6% of total)

exact: 4.0ms (2.4% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess22.0ms (0.3%)

Memory

11.0MiB live, 49.8MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`associate-l`
42×	`times-frac`
36×	`lower-+.f64`
36×	`lower-+.f32`
34×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Stop Event

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

Calls

Call 1

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

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

explain45.0ms (0.6%)

Memory

-2.8MiB live, 77.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (51.4% of total)

ival-sub: 3.0ms (38.5% of total)

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

exact: 0.0ms (0% of total)

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

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
▶	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

36×	`lower-+.f64`
36×	`lower-+.f32`
26×	`sub-neg`
26×	`lower--.f32`
24×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.2%)

Memory

-5.0MiB live, 30.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Samples

12.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (52.7% of total)

ival-sub: 1.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

simplify229.0ms (3%)

Memory

7.3MiB live, 201.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 624×	`lower-fma.f64`
4 624×	`lower-fma.f32`
1 550×	`unsub-neg`
1 096×	`lower-*.f64`
1 096×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
1	93	120
2	220	114
3	546	112
4	1048	112
5	1960	112
6	3386	112
7	4530	112
8	4646	112
9	4646	112
10	4808	112
11	4883	112
12	4883	112
0	4883	109

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 23

Calls

Call 1

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

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

rewrite378.0ms (4.9%)

Memory

-6.0MiB live, 439.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 858×	`lower-/.f32`
3 856×	`lower-/.f64`
3 778×	`lower-fma.f64`
3 778×	`lower-fma.f32`
2 920×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	29	8
2	183	8
3	1612	8
0	9347	8

Stop Event

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

Counts

2 → 425

Calls

Call 1

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

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

eval53.0ms (0.7%)

Memory: 1.5MiB live, 117.0MiB allocated
Compiler: Compiled 12 167 to 1 267 computations (89.6% saved)

prune81.0ms (1.1%)

Memory

11.5MiB live, 88.9MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	444	4	448
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	444	5	449

Accuracy

100.0%

Counts

449 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.8%	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	50.8%	#s(approx (/ x (- 1 x)) (fma.f64 x (fma.f64 x x x) x))
▶	50.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	50.2%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 45 to 22 computations (51.1% saved)

simplify254.0ms (3.3%)

Memory

-14.5MiB live, 424.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	384	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
✓	cost-diff	1472	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	(fma.f64 x (fma.f64 x x x) x)
✓	cost-diff	0	#s(approx (/ x (- 1 x)) (fma.f64 x (fma.f64 x x x) x))
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	cost-diff	0	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Rules

7 006×	`lower-fma.f32`
7 000×	`lower-fma.f64`
3 974×	`lower-*.f32`
3 966×	`lower-*.f64`
2 174×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	127
0	31	117
1	66	109
2	174	108
3	498	108
4	1529	108
5	2604	100
6	4383	99
0	8182	97

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (0.7%)

Memory

22.8MiB live, 138.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	64.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
✓	accuracy	100.0%	(fma.f64 x x x)
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x x x) x)
✓	accuracy	50.8%	#s(approx (/ x (- 1 x)) (fma.f64 x (fma.f64 x x x) x))
✓	accuracy	100.0%	(fma.f64 x x x)
✓	accuracy	50.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	accuracy	50.2%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Samples

35.0ms

256×

valid

Compiler

Compiled 122 to 19 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 9.0ms (35.7% of total)

ival-mult: 9.0ms (35.7% of total)

ival-add: 5.0ms (19.8% of total)

ival-sub: 3.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-25.0MiB live, 14.2MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (- 1 (* x (* x (* x x)))) (* (+ x 1) (+ (* x x) 1)))
1.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(/ (- 1 (* x (* x (* x x)))) (* (+ x 1) (+ (* x x) 1)))
0.0ms	x	@	-inf	(/ (- 1 (* x (* x (* x x)))) (* (+ x 1) (+ (* x x) 1)))
0.0ms	x	@	inf	(- 1 (* x (* x (* x x))))

simplify737.0ms (9.6%)

Memory

12.1MiB live, 383.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 676×	`lower-fma.f64`
12 676×	`lower-fma.f32`
3 146×	`lower-*.f64`
3 146×	`lower-*.f32`
1 346×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	774
1	159	732
2	464	694
3	1692	686
4	5749	686
0	8138	632

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 126

Calls

Call 1

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

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

rewrite382.0ms (4.9%)

Memory

-28.2MiB live, 494.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 354×	`lower-fma.f32`
7 348×	`lower-fma.f64`
4 326×	`lower-/.f32`
4 322×	`lower-/.f64`
3 770×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	108
0	31	85
1	144	68
2	1140	68
0	8585	68

Stop Event

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

Counts

11 → 701

Calls

Call 1

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

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

eval115.0ms (1.5%)

Memory: 17.5MiB live, 286.2MiB allocated
Compiler: Compiled 30 307 to 2 660 computations (91.2% saved)

prune113.0ms (1.5%)

Memory

-9.6MiB live, 207.5MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	894	2	896
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	895	6	901

Accuracy

100.0%

Counts

901 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.7%	(/.f64 (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.8%	#s(approx (/ x (- 1 x)) (fma.f64 x (fma.f64 x x x) x))
✓	50.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	3.6%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	50.2%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 51 to 25 computations (51% saved)

simplify329.0ms (4.3%)

Memory

39.8MiB live, 576.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal -1 binary64))))
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
✓	cost-diff	2048	(/.f64 (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	#s(approx (+ (* x x) x) (*.f64 x x))
✓	cost-diff	0	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))

Rules

17 786×	`lower-fma.f32`
17 782×	`lower-fma.f64`
4 472×	`lower-*.f32`
4 464×	`lower-*.f64`
1 768×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	97
0	29	78
1	58	77
2	149	77
3	391	76
4	1190	75
5	5128	75
0	8225	72

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.6%)

Memory

-44.7MiB live, 126.9MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal -1 binary64))))
✓	accuracy	99.9%	(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	63.9%	(/.f64 (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	51.6%	#s(approx (+ (* x x) x) (*.f64 x x))
✓	accuracy	50.0%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))

Samples

97.0ms

256×

valid

Compiler

Compiled 91 to 19 computations (79.1% saved)

Precisions

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

ival-mult: 9.0ms (44.9% of total)

ival-add: 4.0ms (20% of total)

ival-div: 3.0ms (15% of total)

ival-sub: 2.0ms (10% of total)

ival-neg: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

24 calls:

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

simplify386.0ms (5%)

Memory

24.7MiB live, 618.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 414×	`lower-fma.f64`
16 414×	`lower-fma.f32`
2 990×	`lower-*.f64`
2 990×	`lower-*.f32`
1 774×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	567
1	180	536
2	564	509
3	2559	484
4	7078	484
0	8018	462

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

rewrite312.0ms (4%)

Memory

30.4MiB live, 493.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 996×	`lower-fma.f32`
8 992×	`lower-fma.f64`
3 672×	`lower-*.f32`
3 664×	`lower-*.f64`
3 320×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	29	58
1	124	58
2	926	50
0	11434	48

Stop Event

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

Counts

8 → 922

Calls

Call 1

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

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

eval283.0ms (3.7%)

Memory: -30.8MiB live, 287.3MiB allocated
Compiler: Compiled 31 139 to 2 957 computations (90.5% saved)

prune323.0ms (4.2%)

Memory

-174.1MiB live, 355.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 043	1	1 044
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	1 044	6	1 050

Accuracy

100.0%

Counts

1 050 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.8%	#s(approx (/ x (- 1 x)) (fma.f64 x (fma.f64 x x x) x))
✓	50.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	3.6%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	50.2%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 44 to 21 computations (52.3% saved)

simplify680.0ms (8.8%)

Memory

-24.0MiB live, 809.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓	cost-diff	1856	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))

Rules

28 166×	`lower-fma.f32`
28 162×	`lower-fma.f64`
3 242×	`lower-*.f64`
3 242×	`lower-*.f32`
2 606×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	14	36
1	26	34
2	64	34
3	222	29
4	796	29
5	3236	29
0	8290	29

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.6%)

Memory

6.3MiB live, 44.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
✓	accuracy	99.5%	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	77.7%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))

Samples

16.0ms

256×

valid

Compiler

Compiled 44 to 11 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 5.0ms (52.9% of total)

ival-add: 2.0ms (21.2% of total)

ival-mult: 2.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify337.0ms (4.4%)

Memory

6.3MiB live, 641.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 082×	`lower-fma.f64`
13 082×	`lower-fma.f32`
2 382×	`lower-*.f64`
2 382×	`lower-*.f32`
2 104×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	430
1	204	408
2	507	394
3	1489	378
4	4148	376
5	7212	376
0	8041	360

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite372.0ms (4.8%)

Memory

8.0MiB live, 635.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 332×	`lower-fma.f32`
4 328×	`lower-fma.f64`
3 742×	`lower-*.f64`
3 742×	`lower-*.f32`
3 324×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	14	29
1	71	26
2	529	23
3	7054	23
0	8533	23

Stop Event

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

Counts

4 → 612

Calls

Call 1

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

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

eval103.0ms (1.3%)

Memory: 26.6MiB live, 179.7MiB allocated
Compiler: Compiled 18 097 to 1 829 computations (89.9% saved)

prune81.0ms (1.1%)

Memory

-5.9MiB live, 232.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	658	1	659
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	659	6	665

Accuracy

100.0%

Counts

665 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
	100.0%	(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	50.8%	#s(approx (/ x (- 1 x)) (fma.f64 x (fma.f64 x x x) x))
✓	50.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	3.6%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	50.2%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 136 to 49 computations (64% saved)

regimes7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes31.0ms (0.4%)

Memory

-28.8MiB live, 10.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))
2.0ms	x

Results

Accuracy	Segments	Branch
98.2%	3	`x`
98.2%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.2%	1	`x`
51.9%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
50.2%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999840175379	-3.5592925321863057e-6

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999840175379	-3.5592925321863057e-6

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3061139663062016e-139	-1.4567324629925105e-155

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify31.0ms (0.4%)

Memory

-23.7MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	95
1	29	95
2	32	95
3	34	95
4	35	95

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 x (fma.f64 x x x) x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 x x x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))))
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 x (fma.f64 x x x) x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 x x x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x))))
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

soundness987.0ms (12.8%)

Memory

-9.6MiB live, 284.2MiB allocated

Rules

12 676×	`lower-fma.f64`
12 676×	`lower-fma.f32`
4 624×	`lower-fma.f64`
4 624×	`lower-fma.f32`
3 146×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
1	93	120
2	220	114
3	546	112
4	1048	112
5	1960	112
6	3386	112
7	4530	112
8	4646	112
9	4646	112
10	4808	112
11	4883	112
12	4883	112
0	4883	109
0	54	774
1	159	732
2	464	694
3	1692	686
4	5749	686
0	8138	632

Stop Event

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

Compiler

Compiled 83 to 31 computations (62.7% saved)

preprocess67.0ms (0.9%)

Memory: 12.9MiB live, 91.7MiB allocated
Compiler: Compiled 124 to 38 computations (69.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

analyze1.0ms (0%)

sample705.0ms (9.1%)

preprocess22.0ms (0.3%)

explain45.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize18.0ms (0.2%)

series1.0ms (0%)

simplify229.0ms (3%)

rewrite378.0ms (4.9%)

eval53.0ms (0.7%)

prune81.0ms (1.1%)

simplify254.0ms (3.3%)

localize57.0ms (0.7%)

series7.0ms (0.1%)

simplify737.0ms (9.6%)

rewrite382.0ms (4.9%)

eval115.0ms (1.5%)

prune113.0ms (1.5%)

simplify329.0ms (4.3%)

localize123.0ms (1.6%)

series2.0ms (0%)

simplify386.0ms (5%)

rewrite312.0ms (4%)

eval283.0ms (3.7%)

prune323.0ms (4.2%)

simplify680.0ms (8.8%)

localize46.0ms (0.6%)

series2.0ms (0%)

simplify337.0ms (4.4%)

rewrite372.0ms (4.8%)

eval103.0ms (1.3%)

prune81.0ms (1.1%)

regimes7.0ms (0.1%)

regimes31.0ms (0.4%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify31.0ms (0.4%)

soundness987.0ms (12.8%)

preprocess67.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10