Metrics for fabs fraction 2

analyze0.0ms (0%)

Memory

1.2MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 8 computations (0% saved)

sample615.0ms (16.6%)

Memory

45.8MiB live, 1 155.3MiB allocated

Samples

411.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-div: 108.0ms (50.2% of total)

ival-sub: 54.0ms (25.1% of total)

ival-fabs: 41.0ms (19.1% of total)

ival-true: 5.0ms (2.3% of total)

exact: 4.0ms (1.9% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess34.0ms (0.9%)

Memory

-7.2MiB live, 30.4MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
60×	`lower-*.f64`
60×	`lower-*.f32`
56×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	44	30
2	85	30
3	154	30
4	209	30
5	236	30
6	253	30
7	263	30
0	6	6
0	9	6
1	13	6
2	20	6
3	28	6
4	47	6
5	96	6
6	149	6
7	171	6
8	183	6
9	186	6
0	186	6

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Outputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))

Symmetry

(sort a b)

explain61.0ms (1.6%)

Memory

-18.7MiB live, 97.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`a`
-	-	`#s(literal 2 binary64)`
-	-	`(fabs.f64 (-.f64 a b))`
-	-	`(-.f64 a b)`
-	-	`b`
-	-	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`

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

23.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

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

ival-div: 4.0ms (37.6% of total)

ival-sub: 3.0ms (28.2% of total)

ival-fabs: 3.0ms (28.2% 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 2 to 2 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 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify9.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 a b)
✓	cost-diff	0	(fabs.f64 (-.f64 a b))
✓	cost-diff	384	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
60×	`lower-*.f64`
60×	`lower-*.f32`
36×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
2	20	16
3	28	16
4	47	16
5	96	16
6	149	16
7	171	16
8	183	16
9	186	16
0	186	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 2 binary64)

Outputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 2 binary64)

localize20.0ms (0.6%)

Memory

1.8MiB live, 40.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 a b)
✓	accuracy	100.0%	(fabs.f64 (-.f64 a b))

Samples

14.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (41.4% of total)

ival-sub: 1.0ms (20.7% of total)

ival-fabs: 1.0ms (20.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))>
#<alt (fabs.f64 (-.f64 a b))>
#<alt (-.f64 a b)>

Outputs
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/ (fabs (- a b)) 2)
0.0ms	b	@	-inf	(/ (fabs (- a b)) 2)
0.0ms	a	@	0	(/ (fabs (- a b)) 2)
0.0ms	a	@	inf	(/ (fabs (- a b)) 2)
0.0ms	a	@	0	(- a b)

simplify190.0ms (5.1%)

Memory

-45.5MiB live, 220.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 560×	`lower-*.f64`
2 560×	`lower-*.f32`
2 280×	`lower-fma.f64`
2 280×	`lower-fma.f32`
1 966×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	303
1	83	303
2	191	303
3	548	303
4	1608	303
5	2456	303
6	3337	303
7	4923	303
8	5427	303
9	5803	303
10	6324	303
11	6991	303
12	7747	303
0	8006	303

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

Outputs
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)

rewrite351.0ms (9.5%)

Memory

21.5MiB live, 523.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 732×	`lower-/.f32`
4 730×	`lower-/.f64`
4 334×	`lower-fma.f64`
4 334×	`lower-fma.f32`
3 442×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	38	13
2	204	13
3	1796	13
0	8632	13

Stop Event

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

Counts

3 → 354

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)

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

eval54.0ms (1.5%)

Memory: 0.4MiB live, 111.6MiB allocated
Compiler: Compiled 13 375 to 1 433 computations (89.3% saved)

prune50.0ms (1.3%)

Memory

-1.3MiB live, 116.7MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	422	1	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	1	424

Accuracy

100.0%

Counts

424 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 a b)
✓	cost-diff	(fabs.f64 (-.f64 a b))
✓	cost-diff	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
60×	`lower-*.f32`
58×	`lower-*.f64`
36×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	14	16
2	21	16
3	29	16
4	48	16
5	95	16
6	149	16
7	172	16
8	182	16
0	182	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 1/2 binary64)

Outputs
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 1/2 binary64)

localize31.0ms (0.8%)

Memory

-9.7MiB live, 26.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 a b)
✓	accuracy	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 (-.f64 a b))

Samples

24.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-sub: 1.0ms (22.3% of total)

ival-fabs: 1.0ms (22.3% of total)

ival-mult: 1.0ms (22.3% 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

1.7MiB live, 1.7MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))>
#<alt (fabs.f64 (-.f64 a b))>
#<alt (-.f64 a b)>

Outputs
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(* (fabs (- a b)) 1/2)
0.0ms	a	@	0	(- a b)
0.0ms	a	@	-inf	(* (fabs (- a b)) 1/2)
0.0ms	a	@	inf	(* (fabs (- a b)) 1/2)
0.0ms	b	@	inf	(* (fabs (- a b)) 1/2)

simplify191.0ms (5.2%)

Memory

43.4MiB live, 258.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 560×	`lower-*.f64`
2 560×	`lower-*.f32`
2 280×	`lower-fma.f64`
2 280×	`lower-fma.f32`
1 966×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	303
1	83	303
2	191	303
3	548	303
4	1608	303
5	2456	303
6	3337	303
7	4923	303
8	5427	303
9	5803	303
10	6324	303
11	6991	303
12	7747	303
0	8006	303

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

Outputs
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)

rewrite284.0ms (7.7%)

Memory

-19.7MiB live, 544.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 926×	`lower-fma.f64`
4 926×	`lower-fma.f32`
4 524×	`lower-/.f64`
4 524×	`lower-/.f32`
3 252×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	29	13
2	174	13
3	1648	13
0	8436	13

Stop Event

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

Counts

3 → 304

Calls

Call 1

Inputs
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)

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

eval65.0ms (1.8%)

Memory: 11.8MiB live, 141.8MiB allocated
Compiler: Compiled 12 633 to 1 310 computations (89.6% saved)

prune43.0ms (1.2%)

Memory

0.4MiB live, 114.4MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	372	1	373
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	372	2	374

Accuracy

100.0%

Counts

374 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
▶	47.9%	(*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify72.0ms (1.9%)

Memory

-24.7MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(neg.f64 b)
✓	cost-diff	#s(approx (- a b) (neg.f64 b))
✓	cost-diff	(fabs.f64 #s(approx (- a b) (neg.f64 b)))
✓	cost-diff	(*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
52×	`lower-*.f32`
50×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	11	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- a b) (neg.f64 b)))
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
b
#s(literal 1/2 binary64)

Outputs
(*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- a b) (neg.f64 b)))
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
b
#s(literal 1/2 binary64)

localize61.0ms (1.6%)

Memory

4.6MiB live, 42.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	100.0%	(fabs.f64 #s(approx (- a b) (neg.f64 b)))
✓	accuracy	47.1%	#s(approx (- a b) (neg.f64 b))

Samples

53.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (19% of total)

ival-fabs: 1.0ms (19% of total)

ival-mult: 1.0ms (19% of total)

ival-neg: 1.0ms (19% 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

2.8MiB live, 2.8MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))>
#<alt (fabs.f64 #s(approx (- a b) (neg.f64 b)))>
#<alt #s(approx (- a b) (neg.f64 b))>
#<alt (neg.f64 b)>

Outputs
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(neg b)
0.0ms	a	@	0	(* (fabs (- a b)) 1/2)
0.0ms	a	@	inf	(fabs (- a b))
0.0ms	b	@	-inf	(neg b)
0.0ms	a	@	-inf	(- a b)

simplify192.0ms (5.2%)

Memory

33.5MiB live, 298.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 560×	`lower-*.f64`
2 560×	`lower-*.f32`
2 280×	`lower-fma.f64`
2 280×	`lower-fma.f32`
1 966×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	327
1	83	327
2	191	327
3	548	327
4	1608	327
5	2456	327
6	3337	327
7	4923	327
8	5427	327
9	5803	327
10	6324	327
11	6991	327
12	7747	327
0	8006	327

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)

Outputs
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)

rewrite310.0ms (8.4%)

Memory

-30.4MiB live, 370.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 882×	`lower-fma.f64`
3 882×	`lower-fma.f32`
3 496×	`lower-/.f64`
3 496×	`lower-/.f32`
2 422×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	11	24
1	32	24
2	163	24
3	1576	20
0	9747	20

Stop Event

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

Counts

4 → 52

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- a b) (neg.f64 b)))
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)

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

eval49.0ms (1.3%)

Memory: -8.2MiB live, 30.7MiB allocated
Compiler: Compiled 917 to 169 computations (81.6% saved)

prune21.0ms (0.6%)

Memory

-19.5MiB live, 19.5MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	133	2	135

Accuracy

100.0%

Counts

135 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
▶	47.9%	(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify9.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	#s(approx (- a b) b)
✓	cost-diff	(fabs.f64 #s(approx (- a b) b))
✓	cost-diff	(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
52×	`lower-*.f32`
50×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	9	21
1	12	21
2	17	21
3	23	21
4	32	21
5	47	21
6	80	21
7	105	21
8	147	21
9	162	21
10	170	21
0	170	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- a b) b))
#s(approx (- a b) b)
b
#s(literal 1/2 binary64)

Outputs
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- a b) b))
#s(approx (- a b) b)
b
#s(literal 1/2 binary64)

localize21.0ms (0.6%)

Memory

1.4MiB live, 42.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fabs.f64 #s(approx (- a b) b))
✓	accuracy	2.3%	#s(approx (- a b) b)

Samples

13.0ms

256×

valid

Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (38.2% of total)

ival-sub: 1.0ms (19.1% of total)

ival-fabs: 1.0ms (19.1% 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

2.8MiB live, 2.8MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))>
#<alt (fabs.f64 #s(approx (- a b) b))>
#<alt #s(approx (- a b) b)>

Outputs
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (neg (+ b (* -1 a)))))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (- a b)))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (* 1/2 (fabs (+ a (* -1 b))))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (neg (+ b (* -1 a))))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (- a b))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (fabs (+ a (* -1 b)))>
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(- a b)
0.0ms	a	@	0	(* (fabs (- a b)) 1/2)
0.0ms	a	@	inf	(* (fabs (- a b)) 1/2)
0.0ms	a	@	-inf	(* (fabs (- a b)) 1/2)
0.0ms	a	@	-inf	(- a b)

simplify190.0ms (5.1%)

Memory

-17.3MiB live, 257.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 560×	`lower-*.f64`
2 560×	`lower-*.f32`
2 280×	`lower-fma.f64`
2 280×	`lower-fma.f32`
1 966×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	303
1	83	303
2	191	303
3	548	303
4	1608	303
5	2456	303
6	3337	303
7	4923	303
8	5427	303
9	5803	303
10	6324	303
11	6991	303
12	7747	303
0	8006	303

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

Inputs
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(* 1/2 (fabs (+ a (* -1 b))))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))

Outputs
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (neg (+ b (* -1 a)))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (- a b)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(* 1/2 (fabs (+ a (* -1 b))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (neg (+ b (* -1 a))))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (- a b))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(fabs (+ a (* -1 b)))
(fabs.f64 (-.f64 b a))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)

rewrite250.0ms (6.8%)

Memory

11.0MiB live, 370.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 932×	`lower-fma.f64`
4 932×	`lower-fma.f32`
3 038×	`lower-/.f64`
3 038×	`lower-/.f32`
2 792×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	9	19
1	27	19
2	148	19
3	1375	19
0	9694	19

Stop Event

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

Counts

3 → 30

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- a b) b))
#s(approx (- a b) b)

Outputs
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- a b) b)))
(fabs.f64 #s(approx (- a b) b))
(fabs.f64 (neg.f64 #s(approx (- a b) b)))
(fabs.f64 (-.f64 (neg.f64 #s(approx (- a b) b)) #s(literal 0 binary64)))
(/.f64 (fabs.f64 (neg.f64 (.f64 #s(approx (- a b) b) (.f64 #s(approx (- a b) b) #s(approx (- a b) b))))) (fabs.f64 (fma.f64 #s(approx (- a b) b) #s(approx (- a b) b) #s(literal 0 binary64))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(approx (- a b) b) #s(approx (- a b) b)))) (fabs.f64 #s(approx (- a b) b)))
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- a b) b)))
(+.f64 #s(approx (- a b) b) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(approx (- a b) b))
(-.f64 #s(approx (- a b) b) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- a b) b)))
(fma.f64 #s(approx (- a b) b) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(approx (- a b) b)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (- a b) b) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- a b) b)) #s(literal 0 binary64))
(neg.f64 (neg.f64 #s(approx (- a b) b)))
(/.f64 (neg.f64 (*.f64 #s(approx (- a b) b) #s(approx (- a b) b))) (neg.f64 #s(approx (- a b) b)))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(approx (- a b) b) (.f64 #s(approx (- a b) b) #s(approx (- a b) b))))) (fma.f64 #s(approx (- a b) b) #s(approx (- a b) b) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (- a b) b) #s(approx (- a b) b)))) #s(approx (- a b) b))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(approx (- a b) b) (.f64 #s(approx (- a b) b) #s(approx (- a b) b)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(approx (- a b) b) #s(approx (- a b) b)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (- a b) b) (.f64 #s(approx (- a b) b) #s(approx (- a b) b))) #s(literal 0 binary64)) (fma.f64 #s(approx (- a b) b) #s(approx (- a b) b) (+.f64 #s(literal 0 binary64) (*.f64 #s(approx (- a b) b) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (- a b) b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (- a b) b) #s(approx (- a b) b) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- a b) b))))))
(/.f64 (-.f64 (*.f64 #s(approx (- a b) b) #s(approx (- a b) b)) #s(literal 0 binary64)) #s(approx (- a b) b))
#s(approx (- a b) b)
(*.f64 #s(approx (- a b) b) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(approx (- a b) b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- a b) b))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- a b) b)))

eval10.0ms (0.3%)

Memory: -14.4MiB live, 24.4MiB allocated
Compiler: Compiled 666 to 113 computations (83% saved)

prune5.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Accuracy

100.0%

Counts

101 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
✓	47.9%	(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))

Compiler

Compiled 37 to 24 computations (35.1% saved)

regimes12.0ms (0.3%)

Memory

-12.1MiB live, 26.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Outputs
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))

Calls

5 calls:

3.0ms	b
2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	(-.f64 a b)
2.0ms	(fabs.f64 (-.f64 a b))
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
100.0%	1	`(fabs.f64 (-.f64 a b))`
100.0%	1	`(-.f64 a b)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes8.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))

Outputs
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))

Calls

5 calls:

2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	b
1.0ms	(-.f64 a b)
1.0ms	a

Results

Accuracy	Segments	Branch
47.9%	1	`a`
47.9%	1	`b`
47.9%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
47.9%	1	`(fabs.f64 (-.f64 a b))`
47.9%	1	`(-.f64 a b)`

Compiler

Compiled 25 to 17 computations (32% saved)

simplify7.0ms (0.2%)

Memory

-24.0MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	23	14
3	28	14
4	31	14
5	32	14

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))

Outputs
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 #s(approx (- a b) b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- a b) b)))

soundness442.0ms (12%)

Memory

14.3MiB live, 303.7MiB allocated

Rules

4 732×	`lower-/.f32`
4 730×	`lower-/.f64`
4 334×	`lower-fma.f64`
4 334×	`lower-fma.f32`
3 882×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	11	24
1	32	24
2	163	24
3	1576	20
0	9747	20
0	31	303
1	83	303
2	191	303
3	548	303
4	1608	303
5	2456	303
6	3337	303
7	4923	303
8	5427	303
9	5803	303
10	6324	303
11	6991	303
12	7747	303
0	8006	303
0	6	13
0	9	13
1	38	13
2	204	13
3	1796	13
0	8632	13

Stop Event

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

Compiler

Compiled 54 to 36 computations (33.3% saved)

preprocess26.0ms (0.7%)

Memory: 4.7MiB live, 43.4MiB allocated
Remove: (sort a b)
Compiler: Compiled 72 to 52 computations (27.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	34
1	44	30
2	85	30
3	154	30
4	209	30
5	236	30
6	253	30
7	263	30
0	6	6
0	9	6
1	13	6
2	20	6
3	28	6
4	47	6
5	96	6
6	149	6
7	171	6
8	183	6
9	186	6
0	186	6

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
2	20	16
3	28	16
4	47	16
5	96	16
6	149	16
7	171	16
8	183	16
9	186	16
0	186	16

Iter	Nodes	Cost
0	8	26
0	11	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Iter	Nodes	Cost
0	7	21
0	9	21
1	12	21
2	17	21
3	23	21
4	32	21
5	47	21
6	80	21
7	105	21
8	147	21
9	162	21
10	170	21
0	170	21

Iter	Nodes	Cost
0	16	34
1	44	30
2	85	30
3	154	30
4	209	30
5	236	30
6	253	30
7	263	30
0	6	6
0	9	6
1	13	6
2	20	6
3	28	6
4	47	6
5	96	6
6	149	6
7	171	6
8	183	6
9	186	6
0	186	6

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
2	20	16
3	28	16
4	47	16
5	96	16
6	149	16
7	171	16
8	183	16
9	186	16
0	186	16

Iter	Nodes	Cost
0	8	26
0	11	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Iter	Nodes	Cost
0	7	21
0	9	21
1	12	21
2	17	21
3	23	21
4	32	21
5	47	21
6	80	21
7	105	21
8	147	21
9	162	21
10	170	21
0	170	21

analyze0.0ms (0%)

sample615.0ms (16.6%)

preprocess34.0ms (0.9%)

explain61.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.2%)

localize20.0ms (0.6%)

series3.0ms (0.1%)

simplify190.0ms (5.1%)

rewrite351.0ms (9.5%)

eval54.0ms (1.5%)

prune50.0ms (1.3%)

simplify8.0ms (0.2%)

localize31.0ms (0.8%)

series1.0ms (0%)

simplify191.0ms (5.2%)

rewrite284.0ms (7.7%)

eval65.0ms (1.8%)

prune43.0ms (1.2%)

simplify72.0ms (1.9%)

localize61.0ms (1.6%)

series1.0ms (0%)

simplify192.0ms (5.2%)

rewrite310.0ms (8.4%)

eval49.0ms (1.3%)

prune21.0ms (0.6%)

simplify9.0ms (0.2%)

localize21.0ms (0.6%)

series1.0ms (0%)

simplify190.0ms (5.1%)

rewrite250.0ms (6.8%)

eval10.0ms (0.3%)

prune5.0ms (0.1%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

simplify7.0ms (0.2%)

soundness442.0ms (12%)

preprocess26.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	34
1	44	30
2	85	30
3	154	30
4	209	30
5	236	30
6	253	30
7	263	30
0	6	6
0	9	6
1	13	6
2	20	6
3	28	6
4	47	6
5	96	6
6	149	6
7	171	6
8	183	6
9	186	6
0	186	6

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
2	20	16
3	28	16
4	47	16
5	96	16
6	149	16
7	171	16
8	183	16
9	186	16
0	186	16

Iter	Nodes	Cost
0	8	26
0	11	26
1	17	26
2	22	26
3	29	26
4	38	26
5	55	26
6	82	26
7	110	26
8	153	26
9	168	26
10	176	26
0	176	26

Iter	Nodes	Cost
0	7	21
0	9	21
1	12	21
2	17	21
3	23	21
4	32	21
5	47	21
6	80	21
7	105	21
8	147	21
9	162	21
10	170	21
0	170	21