Metrics for fabs fraction 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.0s (30.7%)

Memory

-26.0MiB live, 918.7MiB allocated

Samples

771.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 414.0ms

ival-sub: 145.0ms (35.1% of total)

ival-div: 144.0ms (34.8% of total)

ival-fabs: 110.0ms (26.6% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

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

Bogosity

explain52.0ms (1.6%)

Memory

-1.6MiB live, 82.7MiB 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

26.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 3.0ms (30.7% of total)

ival-div: 3.0ms (30.7% of total)

ival-fabs: 3.0ms (30.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess26.0ms (0.8%)

Memory

-16.6MiB live, 20.9MiB 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 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))

Symmetry

(sort a b)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify7.0ms (0.2%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
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 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 b a))
(-.f64 a b)
a
b
#s(literal 2 binary64)

localize15.0ms (0.5%)

Memory

14.5MiB live, 14.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
accuracy	0	(-.f64 a b)
accuracy	0	(fabs.f64 (-.f64 a b))

Samples

10.0ms

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 (41.9% of total)

ival-sub: 1.0ms (20.9% of total)

ival-fabs: 1.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())

#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ a b) 1)) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ a b) 1)) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ a b) 1)) (taylor inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ a (* -1 b)))) (taylor -inf b) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ a (* -1 b))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ a (* -1 b))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ a (* -1 b))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ a (* -1 b))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ a b))))) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ a b))))) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ a b))))) (taylor -inf b) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor 0 a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (- a b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (- a b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (- a b) (taylor 0 a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- a b))) (taylor inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (- a b)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ b (* -1 a))))) (taylor -inf a) (#s(alt (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ b (* -1 a)))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 a b)) (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (-.f64 a b) (patch (-.f64 a b) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))
1.0ms	b	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))
0.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))
0.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))
0.0ms	b	@	0	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b))

simplify135.0ms (4.1%)

Memory

-3.9MiB live, 112.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 498×	`lower-*.f64`
2 498×	`lower-*.f32`
2 218×	`lower-fma.f64`
2 218×	`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	550	303
4	1643	303
5	2492	303
6	3376	303
7	4963	303
8	5472	303
9	5848	303
10	6369	303
11	7037	303
12	7792	303
0	8020	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)))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* 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 (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(fabs (+ a (* -1 b)))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(* -1 b)
(- a b)
(- a b)
(- a b)
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(* 1/2 (fabs (- a b)))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
(fabs (- a b))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b 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 (neg (+ b (* -1 a)))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
(fabs (neg (+ b (* -1 a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))

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

rewrite206.0ms (6.2%)

Memory

2.3MiB live, 279.9MiB allocated

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

eval50.0ms (1.5%)

Memory: 13.7MiB live, 123.8MiB allocated
Compiler: Compiled 13 444 to 1 435 computations (89.3% saved)

prune60.0ms (1.8%)

Memory

-6.2MiB live, 153.1MiB 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 b a)) #s(literal 1/2 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify10.0ms (0.3%)

Memory

-26.4MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 b a)
cost-diff	0	(fabs.f64 (-.f64 b a))
cost-diff	0	(*.f64 (fabs.f64 (-.f64 b a)) #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 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)

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

localize15.0ms (0.4%)

Memory

35.5MiB live, 35.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 b a)
accuracy	0	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 (-.f64 b a))

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-sub: 1.0ms (22.1% of total)

ival-fabs: 1.0ms (22.1% of total)

ival-mult: 1.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

-27.8MiB live, 10.3MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

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

#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())

#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 (-.f64 b a)) (patch (fabs.f64 (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))
1.0ms	a	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))
0.0ms	b	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))
0.0ms	a	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))
0.0ms	b	@	0	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a))

simplify138.0ms (4.2%)

Memory

6.8MiB live, 132.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 658×	`lower-fma.f64`
2 658×	`lower-fma.f32`
2 552×	`lower-*.f64`
2 552×	`lower-*.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	2447	303
6	3328	303
7	4914	303
8	5422	303
9	5798	303
10	6319	303
11	6978	303
12	7739	303
0	8116	303

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite166.0ms (5%)

Memory

15.8MiB live, 209.1MiB allocated

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

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

eval50.0ms (1.5%)

Memory: -12.1MiB live, 104.0MiB allocated
Compiler: Compiled 12 702 to 1 311 computations (89.7% saved)

prune54.0ms (1.6%)

Memory

4.4MiB live, 120.0MiB 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 b a)) #s(literal 1/2 binary64))
▶	51.4%	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify7.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 a)
cost-diff	0	#s(approx (- b a) (neg.f64 a))
cost-diff	0	(fabs.f64 #s(approx (- b a) (neg.f64 a)))
cost-diff	0	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #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 (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- b a) (neg.f64 a)))
#s(approx (- b a) (neg.f64 a))
(neg.f64 a)
a
#s(literal 1/2 binary64)

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

localize20.0ms (0.6%)

Memory

-17.2MiB live, 28.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 a)
accuracy	0	(fabs.f64 #s(approx (- b a) (neg.f64 a)))
accuracy	31.63803075343494	#s(approx (- b a) (neg.f64 a))

Samples

15.0ms

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 (18.6% of total)

ival-fabs: 1.0ms (18.6% of total)

ival-mult: 1.0ms (18.6% of total)

ival-neg: 1.0ms (18.6% 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

6.0MiB live, 6.0MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) (neg.f64 a))) (patch (fabs.f64 #s(approx (- b a) (neg.f64 a))) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) (neg.f64 a)) (patch #s(approx (- b a) (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify119.0ms (3.6%)

Memory

9.8MiB live, 88.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2 658×	`lower-fma.f64`
2 658×	`lower-fma.f32`
2 552×	`lower-*.f64`
2 552×	`lower-*.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	2447	327
6	3328	327
7	4914	327
8	5422	327
9	5798	327
10	6319	327
11	6978	327
12	7739	327
0	8116	327

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

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

rewrite259.0ms (7.8%)

Memory

-14.8MiB live, 153.0MiB allocated

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

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

eval14.0ms (0.4%)

Memory: -7.5MiB live, 29.0MiB allocated
Compiler: Compiled 1 084 to 165 computations (84.8% saved)

prune9.0ms (0.3%)

Memory

23.2MiB live, 23.1MiB 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 b a)) #s(literal 1/2 binary64))
▶	51.4%	(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify19.0ms (0.6%)

Memory

-34.7MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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

localize16.0ms (0.5%)

Memory

24.3MiB live, 24.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))
accuracy	0	(fabs.f64 #s(approx (- b a) a))
accuracy	62.57381079388782	#s(approx (- b a) a)

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions

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

ival-sub: 1.0ms (21.6% of total)

ival-fabs: 1.0ms (21.6% of total)

ival-mult: 1.0ms (21.6% 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

5.2MiB live, 5.2MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

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

#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())

#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (- b a) (taylor 0 b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -1 (/ a b)))) (taylor inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ a (* -1 b))))) (taylor -inf b) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ a (* -1 b)))) (taylor -inf b) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ a b) 1))) (taylor -inf b) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor 0 a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor 0 a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 a)) (taylor 0 a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- b a))) (taylor inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (- b a)) (taylor inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) 1)) (taylor inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ b (* -1 a)))) (taylor -inf a) (#s(alt (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) (patch (.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ b (* -1 a))) (taylor -inf a) (#s(alt (fabs.f64 #s(approx (- b a) a)) (patch (fabs.f64 #s(approx (- b a) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 1 (* -1 (/ b a))))) (taylor -inf a) (#s(alt #s(approx (- b a) a) (patch #s(approx (- b a) a) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify125.0ms (3.8%)

Memory

5.3MiB live, 43.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2 658×	`lower-fma.f64`
2 658×	`lower-fma.f32`
2 552×	`lower-*.f64`
2 552×	`lower-*.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	2447	303
6	3328	303
7	4914	303
8	5422	303
9	5798	303
10	6319	303
11	6978	303
12	7739	303
0	8116	303

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite152.0ms (4.6%)

Memory

-0.8MiB live, 150.5MiB allocated

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

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

eval11.0ms (0.3%)

Memory: -15.0MiB live, 21.7MiB allocated
Compiler: Compiled 793 to 109 computations (86.3% saved)

prune7.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB 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 b a)) #s(literal 1/2 binary64))
✓	51.4%	(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))

Compiler

Compiled 40 to 26 computations (35% saved)

regimes21.0ms (0.6%)

Memory

-20.0MiB live, 17.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	a
2.0ms	(fabs.f64 (-.f64 a b))
2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	(-.f64 a b)
2.0ms	b

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

16.3MiB live, 16.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`a`
51.4%	1	`b`
51.4%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
51.4%	1	`(fabs.f64 (-.f64 a b))`
51.4%	1	`(-.f64 a b)`

Compiler

Compiled 25 to 17 computations (32% saved)

simplify5.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB 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 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))

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

soundness486.0ms (14.6%)

Memory

-28.5MiB live, 348.1MiB 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	2447	303
6	3328	303
7	4914	303
8	5422	303
9	5798	303
10	6319	303
11	6978	303
12	7739	303
0	8116	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 56 to 40 computations (28.6% saved)

preprocess22.0ms (0.7%)

Memory: 24.2MiB live, 61.8MiB allocated
Remove: (sort a b)
Compiler: Compiled 74 to 52 computations (29.7% 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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (30.7%)

explain52.0ms (1.6%)

preprocess26.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.2%)

localize15.0ms (0.5%)

series4.0ms (0.1%)

simplify135.0ms (4.1%)

rewrite206.0ms (6.2%)

eval50.0ms (1.5%)

prune60.0ms (1.8%)

simplify10.0ms (0.3%)

localize15.0ms (0.4%)

series6.0ms (0.2%)

simplify138.0ms (4.2%)

rewrite166.0ms (5%)

eval50.0ms (1.5%)

prune54.0ms (1.6%)

simplify7.0ms (0.2%)

localize20.0ms (0.6%)

series3.0ms (0.1%)

simplify119.0ms (3.6%)

rewrite259.0ms (7.8%)

eval14.0ms (0.4%)

prune9.0ms (0.3%)

simplify19.0ms (0.6%)

localize16.0ms (0.5%)

series3.0ms (0.1%)

simplify125.0ms (3.8%)

rewrite152.0ms (4.6%)

eval11.0ms (0.3%)

prune7.0ms (0.2%)

regimes21.0ms (0.6%)

regimes8.0ms (0.2%)

simplify5.0ms (0.2%)

soundness486.0ms (14.6%)

preprocess22.0ms (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