Metrics for fabs fraction 2

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample533.0ms (18.9%)

Memory

15.1MiB live, 792.4MiB allocated

Samples

363.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-div: 58.0ms (32.5% of total)

ival-fabs: 58.0ms (32.5% of total)

ival-sub: 49.0ms (27.5% of total)

ival-true: 5.0ms (2.8% of total)

exact: 5.0ms (2.8% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

preprocess22.0ms (0.8%)

Memory

-1.8MiB live, 36.5MiB allocated

Algorithm

2×	egg-herbie

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
60×	`-lowering-.f32`
60×	`-lowering-.f64`
60×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	46	36
2	89	36
3	159	36
4	216	36
5	243	36
6	260	36
7	270	36
0	6	6
1	10	6
2	17	6
3	25	6
4	44	6
5	91	6
6	145	6
7	167	6
8	179	6
9	182	6
0	182	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (fabs (- a b)) 2)

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

Call 2

Inputs
(/ (fabs (- a b)) 2)
(/ (fabs (- (neg a) b)) 2)
(/ (fabs (- a (neg b))) 2)
(neg (/ (fabs (- (neg a) b)) 2))
(neg (/ (fabs (- a (neg b))) 2))
(/ (fabs (- b a)) 2)

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

Symmetry

(sort a b)

explain61.0ms (2.2%)

Memory

-17.6MiB live, 116.0MiB 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

24.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (34.5% of total)

ival-div: 4.0ms (34.5% of total)

ival-fabs: 3.0ms (25.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

simplify8.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
60×	`-lowering-.f32`
60×	`-lowering-.f64`
36×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	10	16
2	17	16
3	25	16
4	44	16
5	91	16
6	145	16
7	167	16
8	179	16
9	182	16
0	182	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (fabs (- a b)) 2)
(fabs (- a b))
(- a b)
a
b
2

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

localize19.0ms (0.7%)

Memory

2.5MiB live, 41.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-fabs: 3.0ms (48.1% of total)

ival-div: 2.0ms (32.1% of total)

ival-sub: 1.0ms (16% 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

7.1MiB live, 7.1MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (/ (fabs (- a b)) 2)>
#<alt (fabs (- a b))>
#<alt (- a b)>

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

Calls

18 calls:

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

rewrite487.0ms (17.3%)

Memory

2.7MiB live, 668.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 732×	`/-lowering-/.f32`
4 732×	`/-lowering-/.f64`
4 334×	`accelerator-lowering-fma.f32`
4 334×	`accelerator-lowering-fma.f64`
3 442×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	35	13
2	201	13
3	1791	13
0	8623	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 354

Calls

Call 1

Inputs
(/ (fabs (- a b)) 2)
(fabs (- a b))
(- a b)

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

simplify252.0ms (9%)

Memory

0.3MiB live, 269.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 560×	`-lowering-.f32`
2 560×	`-lowering-.f64`
2 280×	`accelerator-lowering-fma.f32`
2 280×	`accelerator-lowering-fma.f64`
1 966×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval53.0ms (1.9%)

Memory: 3.6MiB live, 116.7MiB allocated
Compiler: Compiled 13 524 to 1 436 computations (89.4% saved)

prune55.0ms (2%)

Memory

34.0MiB live, 109.9MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	425	1	426
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	426	1	427

Accuracy

100.0%

Counts

427 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify50.0ms (1.8%)

Memory

-44.0MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
60×	`-lowering-.f32`
60×	`-lowering-.f64`
38×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	11	16
2	18	16
3	26	16
4	45	16
5	94	16
6	148	16
7	171	16
8	181	16
0	181	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize20.0ms (0.7%)

Memory

17.7MiB live, 56.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

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: 2.0ms (41.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (* (fabs (- a b)) 1/2)>
#<alt (fabs (- a b))>
#<alt (- a b)>

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

Calls

18 calls:

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

rewrite404.0ms (14.3%)

Memory

20.0MiB live, 745.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 926×	`accelerator-lowering-fma.f32`
4 926×	`accelerator-lowering-fma.f64`
4 524×	`/-lowering-/.f32`
4 524×	`/-lowering-/.f64`
3 252×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	26	13
2	171	13
3	1645	13
0	8437	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 304

Calls

Call 1

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

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

simplify215.0ms (7.6%)

Memory

17.3MiB live, 353.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 560×	`-lowering-.f32`
2 560×	`-lowering-.f64`
2 280×	`accelerator-lowering-fma.f32`
2 280×	`accelerator-lowering-fma.f64`
1 966×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval62.0ms (2.2%)

Memory: 3.1MiB live, 133.5MiB allocated
Compiler: Compiled 12 869 to 1 314 computations (89.8% saved)

prune43.0ms (1.5%)

Memory

-23.7MiB live, 134.2MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	375	1	376
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	375	2	377

Accuracy

100.0%

Counts

377 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
▶	51.1%	(*.f64 (fabs.f64 a) #s(literal 1/2 binary64))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`
2×	`fabs-lowering-fabs.f64`
2×	`fabs-lowering-fabs.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	5	8
0	5	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (fabs a) 1/2)
(fabs a)
a
1/2

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

localize15.0ms (0.5%)

Memory

3.5MiB live, 42.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-fabs: 1.0ms (30.8% of total)

ival-mult: 1.0ms (30.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* (fabs a) 1/2)>
#<alt (fabs a)>

Outputs
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (* 1/2 (fabs a))>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>
#<alt (fabs a)>

Calls

6 calls:

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

rewrite69.0ms (2.5%)

Memory

1.3MiB live, 121.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

766×	`frac-times`
682×	`/-lowering-/.f32`
682×	`/-lowering-/.f64`
588×	`-lowering-.f32`
588×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	7	6
2	13	6
3	39	6
4	228	6
0	2657	6

Stop Event

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

Counts

2 → 29

Calls

Call 1

Inputs
(* (fabs a) 1/2)
(fabs a)

Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a a #s(literal 0 binary64))) (fabs.f64 a))
(/.f64 (*.f64 (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64)) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 1/2 binary64)) (fabs.f64 a))
(*.f64 (fabs.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 a))
(.f64 (.f64 (fabs.f64 a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (fabs.f64 a) #s(literal 1/2 binary64)))
(fabs.f64 a)
(fabs.f64 (-.f64 #s(literal 0 binary64) a))
(/.f64 (fabs.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 a) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (fma.f64 a a #s(literal 0 binary64)) (fabs.f64 a))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 (fabs.f64 a)))
(/.f64 (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 1 binary64)) (fabs.f64 a))
(/.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (*.f64 (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 a a #s(literal 0 binary64)))
(*.f64 (fabs.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 a))
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (fabs.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(*.f64 (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))))
(*.f64 (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (fma.f64 a a #s(literal 0 binary64))) (fabs.f64 a))
(*.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (fabs.f64 (fma.f64 a (fma.f64 a a #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 a a #s(literal 0 binary64)))

simplify4.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`
2×	`fabs-lowering-fabs.f64`
2×	`fabs-lowering-fabs.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	72
1	5	72
0	5	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(* 1/2 (fabs a))
(fabs a)
(fabs a)
(fabs a)
(fabs a)
(fabs a)
(fabs a)
(fabs a)
(fabs a)
(fabs a)
(fabs a)
(fabs a)
(fabs a)

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

eval6.0ms (0.2%)

Memory: -25.2MiB live, 14.4MiB allocated
Compiler: Compiled 422 to 78 computations (81.5% saved)

prune5.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	53	2	55

Accuracy

100.0%

Counts

55 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
✓	51.1%	(*.f64 (fabs.f64 a) #s(literal 1/2 binary64))

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes12.0ms (0.4%)

Memory

-10.5MiB live, 29.0MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	b
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

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)

regimes7.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.1%	1	`a`
51.1%	1	`b`
51.1%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
51.1%	1	`(fabs.f64 (-.f64 a b))`
51.1%	1	`(-.f64 a b)`

Compiler

Compiled 25 to 17 computations (32% saved)

simplify46.0ms (1.6%)

Memory

-26.4MiB live, 12.3MiB 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	8	10
1	14	10
2	21	10
3	26	10
4	29	10
5	30	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness322.0ms (11.4%)

Memory

24.7MiB live, 228.9MiB allocated

Rules

4 732×	`/-lowering-/.f32`
4 732×	`/-lowering-/.f64`
4 334×	`accelerator-lowering-fma.f32`
4 334×	`accelerator-lowering-fma.f64`
3 442×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	35	13
2	201	13
3	1791	13
0	8623	13
0	31	303
1	83	303
2	191	303
3	548	303
4	1608	303
5	2456	303
6	3337	303
7	4923	303
8	5427	303
9	5803	303
10	6324	303
11	6991	303
12	7747	303
0	8006	303

Stop Event

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

preprocess38.0ms (1.3%)

Memory: -13.7MiB live, 63.4MiB allocated
Remove: (sort a b)
Compiler: Compiled 72 to 52 computations (27.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	40
1	46	36
2	89	36
3	159	36
4	216	36
5	243	36
6	260	36
7	270	36
0	6	6
1	10	6
2	17	6
3	25	6
4	44	6
5	91	6
6	145	6
7	167	6
8	179	6
9	182	6
0	182	6

Iter	Nodes	Cost
0	19	40
1	46	36
2	89	36
3	159	36
4	216	36
5	243	36
6	260	36
7	270	36
0	6	6
1	10	6
2	17	6
3	25	6
4	44	6
5	91	6
6	145	6
7	167	6
8	179	6
9	182	6
0	182	6

analyze0.0ms (0%)

sample533.0ms (18.9%)

preprocess22.0ms (0.8%)

explain61.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.3%)

localize19.0ms (0.7%)

series3.0ms (0.1%)

rewrite487.0ms (17.3%)

simplify252.0ms (9%)

eval53.0ms (1.9%)

prune55.0ms (2%)

simplify50.0ms (1.8%)

localize20.0ms (0.7%)

series1.0ms (0%)

rewrite404.0ms (14.3%)

simplify215.0ms (7.6%)

eval62.0ms (2.2%)

prune43.0ms (1.5%)

simplify3.0ms (0.1%)

localize15.0ms (0.5%)

series1.0ms (0%)

rewrite69.0ms (2.5%)

simplify4.0ms (0.2%)

eval6.0ms (0.2%)

prune5.0ms (0.2%)

regimes12.0ms (0.4%)

regimes7.0ms (0.2%)

simplify46.0ms (1.6%)

soundness322.0ms (11.4%)

preprocess38.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	40
1	46	36
2	89	36
3	159	36
4	216	36
5	243	36
6	260	36
7	270	36
0	6	6
1	10	6
2	17	6
3	25	6
4	44	6
5	91	6
6	145	6
7	167	6
8	179	6
9	182	6
0	182	6