Metrics for fabs fraction 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample876.0ms (25.3%)

Memory

21.9MiB live, 709.5MiB allocated

Samples

517.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-div: 135.0ms (56.8% of total)

ival-sub: 50.0ms (21% of total)

ival-fabs: 41.0ms (17.3% of total)

ival-true: 5.0ms (2.1% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain105.0ms (3%)

Memory

24.6MiB live, 72.9MiB 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

78.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-sub: 3.0ms (32.2% of total)

ival-div: 3.0ms (32.2% of total)

ival-fabs: 2.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess86.0ms (2.5%)

Memory

-11.7MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 6 to 6 computations (0% saved)

simplify6.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB 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))

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

localize57.0ms (1.6%)

Memory

-14.7MiB live, 23.4MiB 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

52.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 42.0ms (93.5% of total)

ival-div: 2.0ms (4.5% of total)

ival-fabs: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fabs.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (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))
1.0ms	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))

simplify131.0ms (3.8%)

Memory

0.8MiB live, 96.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	303
1	83	303
2	191	303
3	550	303
4	1646	303
5	2490	303
6	3372	303
7	4957	303
8	5464	303
9	5840	303
10	6361	303
11	7027	303
12	7785	303
0	8013	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
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
a
(-.f64 a b)
(-.f64 a b)
(-.f64 a b)
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(neg.f64 b)
(-.f64 a b)
(-.f64 a b)
(-.f64 a b)
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(neg.f64 b)
(-.f64 a b)
(-.f64 a b)
(-.f64 a b)
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(neg.f64 b)
(-.f64 a b)
(-.f64 a b)
(-.f64 a b)
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
a
(-.f64 a b)
(-.f64 a b)
(-.f64 a b)
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
(fabs.f64 (-.f64 a b))
a
(-.f64 a b)
(-.f64 a b)
(-.f64 a b)

rewrite148.0ms (4.3%)

Memory

6.8MiB live, 236.0MiB allocated

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
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eval52.0ms (1.5%)

Memory: 1.4MiB live, 122.2MiB allocated
Compiler: Compiled 10 242 to 1 452 computations (85.8% saved)

prune10.0ms (0.3%)

Memory

-7.4MiB live, 29.8MiB 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 6 to 6 computations (0% saved)

simplify6.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB 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))

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

localize18.0ms (0.5%)

Memory

-5.0MiB live, 33.5MiB 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

12.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-mult: 2.0ms (45.3% of total)

ival-sub: 1.0ms (22.7% of total)

ival-fabs: 1.0ms (22.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify193.0ms (5.5%)

Memory

-10.7MiB live, 73.8MiB allocated

Algorithm

1×	egg-herbie

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	2452	303
6	3335	303
7	4921	303
8	5426	303
9	5802	303
10	6323	303
11	6991	303
12	7745	303
0	8004	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
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(neg.f64 a)
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
b
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
b
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
b
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(neg.f64 a)
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(neg.f64 a)
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)

rewrite242.0ms (7%)

Memory

-43.7MiB live, 253.7MiB allocated

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
#<batchref>
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eval47.0ms (1.3%)

Memory: 36.8MiB live, 111.6MiB allocated
Compiler: Compiled 9 519 to 1 329 computations (86% saved)

prune11.0ms (0.3%)

Memory

-2.6MiB live, 34.8MiB 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))
▶	49.6%	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.3%)

Memory

-31.5MiB live, 15.7MiB 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))

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 #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)

localize38.0ms (1.1%)

Memory

4.8MiB live, 43.0MiB 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	32.83526455812729	#s(approx (- b a) (neg.f64 a))

Samples

12.0ms

256×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

ival-mult: 2.0ms (36.6% of total)

ival-sub: 1.0ms (18.3% of total)

ival-fabs: 1.0ms (18.3% of total)

ival-neg: 1.0ms (18.3% 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

10.2MiB live, 10.2MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

simplify146.0ms (4.2%)

Memory

8.6MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

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	2452	327
6	3335	327
7	4921	327
8	5426	327
9	5802	327
10	6323	327
11	6991	327
12	7745	327
0	8004	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
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(neg.f64 a)
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
b
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
b
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
b
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(neg.f64 a)
(neg.f64 a)
(neg.f64 a)
(neg.f64 a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(neg.f64 a)
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(neg.f64 a)
(neg.f64 a)
(neg.f64 a)
(neg.f64 a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(neg.f64 a)
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(neg.f64 a)
(neg.f64 a)
(neg.f64 a)
(neg.f64 a)

rewrite120.0ms (3.5%)

Memory

3.0MiB live, 172.4MiB allocated

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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval19.0ms (0.6%)

Memory: -15.3MiB live, 22.7MiB allocated
Compiler: Compiled 1 600 to 230 computations (85.6% saved)

prune7.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB 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))
▶	49.6%	(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify6.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB 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))

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 #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)

localize19.0ms (0.6%)

Memory

-6.7MiB live, 31.1MiB 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	62.446766132595705	#s(approx (- b a) a)

Samples

13.0ms

256×

valid

Compiler

Compiled 38 to 15 computations (60.5% saved)

Precisions

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

ival-mult: 5.0ms (66.4% of total)

ival-sub: 1.0ms (13.3% of total)

ival-fabs: 1.0ms (13.3% 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

7.6MiB live, 7.6MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

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

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

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

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

simplify127.0ms (3.7%)

Memory

1.8MiB live, 81.6MiB allocated

Algorithm

1×	egg-herbie

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	2452	303
6	3335	303
7	4921	303
8	5426	303
9	5802	303
10	6323	303
11	6991	303
12	7745	303
0	8004	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
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(neg.f64 a)
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
b
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
b
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
b
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(neg.f64 a)
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 b a))
(neg.f64 a)
(-.f64 b a)
(-.f64 b a)
(-.f64 b a)

rewrite120.0ms (3.4%)

Memory

-11.1MiB live, 218.4MiB allocated

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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval173.0ms (5%)

Memory: -11.5MiB live, 26.3MiB allocated
Compiler: Compiled 1 208 to 125 computations (89.7% saved)

prune6.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB 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))
✓	49.6%	(*.f64 (fabs.f64 #s(approx (- b a) a)) #s(literal 1/2 binary64))

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes11.0ms (0.3%)

Memory

20.9MiB live, 20.9MiB 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:

2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	(fabs.f64 (-.f64 a b))
2.0ms	(-.f64 a b)
2.0ms	a
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 15 to 17 computations (-13.3% saved)

regimes93.0ms (2.7%)

Memory

-26.0MiB live, 18.0MiB 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:

86.0ms	(-.f64 a b)
2.0ms	(fabs.f64 (-.f64 a b))
2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
49.6%	1	`a`
49.6%	1	`b`
49.6%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
49.6%	1	`(fabs.f64 (-.f64 a b))`
49.6%	1	`(-.f64 a b)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify23.0ms (0.7%)

Memory

13.4MiB live, 51.3MiB allocated

Algorithm

1×	egg-herbie

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

soundness520.0ms (15%)

Memory

-10.5MiB live, 268.4MiB allocated

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
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	2452	303
6	3335	303
7	4921	303
8	5426	303
9	5802	303
10	6323	303
11	6991	303
12	7745	303
0	8004	303

Stop Event

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

Compiler

Compiled 52 to 44 computations (15.4% saved)

preprocess25.0ms (0.7%)

Memory: 13.0MiB live, 49.1MiB allocated
Remove: (sort a b)
Compiler: Compiled 64 to 56 computations (12.5% 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%)

sample876.0ms (25.3%)

explain105.0ms (3%)

preprocess86.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.2%)

localize57.0ms (1.6%)

series5.0ms (0.1%)

simplify131.0ms (3.8%)

rewrite148.0ms (4.3%)

eval52.0ms (1.5%)

prune10.0ms (0.3%)

simplify6.0ms (0.2%)

localize18.0ms (0.5%)

series5.0ms (0.1%)

simplify193.0ms (5.5%)

rewrite242.0ms (7%)

eval47.0ms (1.3%)

prune11.0ms (0.3%)

simplify10.0ms (0.3%)

localize38.0ms (1.1%)

series4.0ms (0.1%)

simplify146.0ms (4.2%)

rewrite120.0ms (3.5%)

eval19.0ms (0.6%)

prune7.0ms (0.2%)

simplify6.0ms (0.2%)

localize19.0ms (0.6%)

series4.0ms (0.1%)

simplify127.0ms (3.7%)

rewrite120.0ms (3.4%)

eval173.0ms (5%)

prune6.0ms (0.2%)

regimes11.0ms (0.3%)

regimes93.0ms (2.7%)

simplify23.0ms (0.7%)

soundness520.0ms (15%)

preprocess25.0ms (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