Metrics for fabs fraction 2

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample531.0ms (17%)

Memory

3.5MiB live, 876.1MiB allocated

Samples

356.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-div: 62.0ms (37.8% of total)

ival-sub: 46.0ms (28% of total)

ival-fabs: 42.0ms (25.6% of total)

ival-true: 6.0ms (3.7% of total)

exact: 5.0ms (3% of total)

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

Bogosity

preprocess23.0ms (0.7%)

Memory

2.7MiB live, 39.8MiB 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)

explain69.0ms (2.2%)

Memory

-6.6MiB live, 92.3MiB 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

29.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 10.0ms (59.5% of total)

ival-div: 3.0ms (17.9% of total)

ival-fabs: 3.0ms (17.9% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify35.0ms (1.1%)

Memory

-33.1MiB live, 5.8MiB 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)

localize18.0ms (0.6%)

Memory

21.7MiB live, 21.7MiB 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

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 2.0ms (40% of total)

ival-sub: 1.0ms (20% of total)

ival-fabs: 1.0ms (20% 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

5.0MiB live, 5.0MiB 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	b	@	-inf	(/ (fabs (- a b)) 2)
0.0ms	a	@	0	(/ (fabs (- a b)) 2)
0.0ms	a	@	inf	(/ (fabs (- a b)) 2)
0.0ms	a	@	0	(- a b)

rewrite314.0ms (10.1%)

Memory

0.6MiB live, 590.7MiB 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 (neg.f64 (log.f64 (.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fabs.f64 (-.f64 a b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (fabs.f64 (-.f64 a b)) #s(literal -1/2 binary64)))
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(/.f64 (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fabs.f64 (-.f64 a b))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 a (+.f64 a b) (.f64 b b)))) (fabs.f64 (fma.f64 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) (neg.f64 (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) (neg.f64 (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 (neg.f64 (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 (neg.f64 (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) (neg.f64 (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) (neg.f64 (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 (neg.f64 b) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (-.f64 a b))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 (-.f64 a b))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (fabs.f64 (-.f64 a b))))
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (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 (neg.f64 b))))))
(/.f64 (fabs.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fabs.f64 (fma.f64 b b (-.f64 (.f64 a a) (*.f64 b (neg.f64 a))))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
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(*.f64 #s(literal 1 binary64) (-.f64 a b))
(.f64 (.f64 (-.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (+.f64 a b)))
(*.f64 #s(literal -1 binary64) (-.f64 b a))
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(.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 a (+.f64 a b) (.f64 b b))) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (fma.f64 a (+.f64 a b) (.f64 b b)))))
(.f64 (-.f64 (.f64 (.f64 a a) (+.f64 a b)) (.f64 (+.f64 a b) (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (+.f64 a b))))
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(.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 a (+.f64 a b) (.f64 b b)))))
(.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))) (+.f64 a b))))
(.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 a b) (+.f64 a b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))))
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(.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
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(.f64 (-.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b)))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 a a) (+.f64 a b)) (/.f64 (.f64 a a) (+.f64 a b)) (fma.f64 (/.f64 (.f64 b b) (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)) (.f64 (/.f64 (.f64 a a) (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a (+.f64 a b) (.f64 b b))) (/.f64 (.f64 a (.f64 a a)) (fma.f64 a (+.f64 a b) (.f64 b b)))) (.f64 (.f64 (.f64 b b) (/.f64 b (fma.f64 a (+.f64 a b) (.f64 b b)))) (.f64 (.f64 b b) (/.f64 b (fma.f64 a (+.f64 a b) (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (/.f64 a (fma.f64 a (+.f64 a b) (.f64 b b))) (.f64 (.f64 b b) (/.f64 b (fma.f64 a (+.f64 a b) (.f64 b b)))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 a a) (+.f64 a b)) (/.f64 (.f64 a a) (+.f64 a b))) (.f64 (/.f64 (.f64 b b) (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)))))
(.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.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 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b b) (.f64 a (*.f64 a a)))))
(.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.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 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 a b) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
(.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 a a (.f64 b (-.f64 b a))))
(.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b))
(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (fma.f64 (.f64 b (+.f64 a b)) (.f64 (.f64 b (+.f64 a b)) (.f64 b (+.f64 a b))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b (+.f64 a b)) (-.f64 (.f64 b (+.f64 a b)) (*.f64 a a)))))
(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b (+.f64 a b))))) (-.f64 (.f64 a a) (.f64 b (+.f64 a b))))
(.f64 (pow.f64 (/.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.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))))

simplify344.0ms (11%)

Memory

5.2MiB live, 234.8MiB 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)
(neg.f64 b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)

eval52.0ms (1.7%)

Memory: -6.7MiB live, 108.4MiB allocated
Compiler: Compiled 13 387 to 1 436 computations (89.3% saved)

prune52.0ms (1.7%)

Memory

10.0MiB live, 129.1MiB 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)

simplify7.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB 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 (0.6%)

Memory

8.4MiB live, 46.6MiB 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: 6.0ms

ival-mult: 3.0ms (47.3% of total)

ival-sub: 2.0ms (31.5% of total)

ival-fabs: 1.0ms (15.8% 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

2.4MiB live, 2.4MiB 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	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)
0.0ms	b	@	inf	(* (fabs (- a b)) 1/2)

rewrite375.0ms (12%)

Memory

23.9MiB live, 660.6MiB 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)))))) (neg.f64 (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))))) (neg.f64 (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))) (neg.f64 (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))) (neg.f64 (fabs.f64 (+.f64 a b))))
(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 a b)))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (fma.f64 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) (neg.f64 (*.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 (neg.f64 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 (neg.f64 a) b)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (fabs.f64 (+.f64 a b)))
(/.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (fabs.f64 (-.f64 b (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))))
(/.f64 (fabs.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (fabs.f64 (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))))
(/.f64 (fabs.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (fabs.f64 (.f64 (+.f64 a b) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (fabs.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (fabs.f64 (.f64 (neg.f64 (fma.f64 a a (.f64 b (+.f64 a b)))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))))
(/.f64 (fabs.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (fabs.f64 (.f64 (-.f64 (neg.f64 b) a) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (fabs.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 a b) (+.f64 a b)))) (fabs.f64 (.f64 (+.f64 a b) (fma.f64 a a (*.f64 b b)))))
(/.f64 (fabs.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 a b) (+.f64 a b)))) (fabs.f64 (.f64 (-.f64 (neg.f64 b) a) (fma.f64 a a (*.f64 b b)))))
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(/.f64 (fma.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b)))) (.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))))) (pow.f64 (neg.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 a a (.f64 b (+.f64 a b))))) #s(literal 3 binary64))) (fma.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 (neg.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 a a (.f64 b (+.f64 a b))))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 a a (.f64 b (+.f64 a b)))))) (.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b)))) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 a a (*.f64 b (+.f64 a b)))))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b)))) (pow.f64 (neg.f64 (/.f64 (.f64 b b) (+.f64 a b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a a) (+.f64 a b)) (/.f64 (.f64 a a) (+.f64 a b)) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 b b) (+.f64 a b))) (neg.f64 (/.f64 (.f64 b b) (+.f64 a b)))) (.f64 (/.f64 (.f64 a a) (+.f64 a b)) (neg.f64 (/.f64 (.f64 b b) (+.f64 a b)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3 binary64)) (.f64 b (.f64 b b))) (fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (-.f64 (.f64 b b) (.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (-.f64 a b) (.f64 (-.f64 a b) (-.f64 a b)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 a b) (-.f64 a b)) (.f64 #s(literal 0 binary64) (-.f64 a b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 a b) (-.f64 a b) (*.f64 #s(literal 0 binary64) (-.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 a #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 b (.f64 b b))) (fma.f64 (+.f64 a #s(literal 0 binary64)) (+.f64 a #s(literal 0 binary64)) (fma.f64 b b (*.f64 (+.f64 a #s(literal 0 binary64)) b))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal -1 binary64))
(.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (+.f64 a b)))))
(.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (-.f64 (.f64 a a) (neg.f64 (.f64 a b))))))
(.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (/.f64 (-.f64 a b) (fma.f64 a a (*.f64 b (+.f64 a b)))))
(.f64 (.f64 (-.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) (+.f64 a b)))
(.f64 (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (.f64 b (+.f64 a b))))))
(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) a)))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (fma.f64 (.f64 b (.f64 b b)) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))))))
(.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (fma.f64 a (.f64 a a) (.f64 b (*.f64 b b))))))
(.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))))))
(*.f64 #s(literal 1 binary64) (-.f64 a b))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b (+.f64 a b)))) (fma.f64 a (.f64 a a) (.f64 b (*.f64 b b))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (-.f64 a b) (+.f64 a b)))
(*.f64 #s(literal -1 binary64) (-.f64 b a))
(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 a b) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (fma.f64 a a (.f64 b b)))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b)))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (fma.f64 a a (.f64 b (+.f64 a b))))))
(.f64 (-.f64 (.f64 (.f64 a a) (+.f64 a b)) (.f64 (+.f64 a b) (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (+.f64 a b))))
(.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 b (.f64 b b)) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (fma.f64 a a (*.f64 b (+.f64 a b))))))
(.f64 (.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b (+.f64 a b))))))
(.f64 (.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))) (+.f64 a b))))
(.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 a b) (+.f64 a b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b))))
(.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b (+.f64 a b)))))
(.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b)))) (.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 (.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 (/.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)))) (fma.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 (/.f64 (.f64 a (.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)))))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b)))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (.f64 (+.f64 a b) (+.f64 a b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 a a) (+.f64 a b)) (/.f64 (.f64 a a) (+.f64 a b)) (fma.f64 (/.f64 (.f64 b b) (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)) (.f64 (/.f64 (.f64 a a) (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a 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)))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 a a) (+.f64 a b)) (/.f64 (.f64 a a) (+.f64 a b))) (.f64 (/.f64 (.f64 b b) (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)))))
(.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b (+.f64 a b)))))
(.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (fma.f64 a a (.f64 b (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b (.f64 b b)) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))))
(.f64 (/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (fma.f64 a a (.f64 b (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))))
(.f64 (/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (+.f64 a b)) (/.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 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 a b) (+.f64 a b))) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (fma.f64 b (-.f64 b a) (.f64 a a)))
(.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b))
(.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a a)) (.f64 (.f64 b (+.f64 a b)) (.f64 (.f64 b (+.f64 a b)) (.f64 b (+.f64 a b)))))) (fma.f64 (.f64 b (+.f64 a b)) (-.f64 (.f64 b (+.f64 a b)) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))))
(.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 (.f64 a a) (.f64 b (+.f64 a b))))) (-.f64 (.f64 a a) (.f64 b (+.f64 a b))))
(.f64 (pow.f64 (/.f64 (fma.f64 a a (.f64 b (+.f64 a 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 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a a)) (.f64 a (*.f64 a a))))))
(.f64 (pow.f64 (/.f64 (fma.f64 a a (.f64 b (+.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 a) (.f64 b (.f64 b b)))))
(.f64 (pow.f64 (/.f64 (+.f64 a b) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 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))))

simplify221.0ms (7.1%)

Memory

-39.8MiB live, 303.1MiB 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)
(neg.f64 b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
(* a (+ 1 (* -1 (/ b a))))
(-.f64 a b)
a
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
(* -1 (* a (- (/ b a) 1)))
(-.f64 a b)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* b (- (/ a b) 1))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(-.f64 a b)

eval84.0ms (2.7%)

Memory: 24.3MiB live, 99.8MiB allocated
Compiler: Compiled 12 645 to 1 314 computations (89.6% saved)

prune44.0ms (1.4%)

Memory

-0.1MiB live, 117.8MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	374	2	376
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	374	3	377

Accuracy

100.0%

Counts

377 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
▶	50.0%	(*.f64 (fabs.f64 (neg.f64 b)) #s(literal 1/2 binary64))
▶	53.1%	(*.f64 (fabs.f64 a) #s(literal 1/2 binary64))

Compiler

Compiled 21 to 17 computations (19% saved)

simplify5.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(*.f64 (fabs.f64 (neg.f64 b)) #s(literal 1/2 binary64))
✓	cost-diff	128	(fabs.f64 (neg.f64 b))
✓	cost-diff	0	(fabs.f64 a)
✓	cost-diff	0	(*.f64 (fabs.f64 a) #s(literal 1/2 binary64))

Rules

32×	`-lowering-.f32`
32×	`-lowering-.f64`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	15	18
2	22	18
3	31	18
4	38	18
5	40	18
6	49	18
7	56	18
8	65	18
0	65	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize26.0ms (0.8%)

Memory

-13.7MiB live, 60.9MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

16.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (43.1% of total)

ival-fabs: 2.0ms (28.7% of total)

ival-neg: 1.0ms (14.4% 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

13.9MiB live, 13.8MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite93.0ms (3%)

Memory

-8.7MiB live, 156.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

770×	`frac-times`
752×	`/-lowering-/.f32`
752×	`/-lowering-/.f64`
654×	`-lowering-.f32`
654×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	19	14
2	49	14
3	258	14
0	2860	14

Stop Event

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

Counts

5 → 122

Calls

Call 1

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

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

simplify10.0ms (0.3%)

Memory

-9.6MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`-lowering-.f32`
32×	`-lowering-.f64`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	168
1	22	168
2	30	168
3	36	168
4	41	168
5	43	168
6	52	168
7	59	168
8	68	168
0	68	168

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

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)
(fabs (neg b))
(fabs (neg b))
(fabs (neg b))
(fabs (neg b))
(fabs (neg b))
(fabs (neg b))
(fabs (neg b))
(fabs (neg b))
(fabs (* -1 b))
(fabs (* -1 b))
(fabs (* -1 b))
(fabs (* -1 b))
(* 1/2 (fabs (neg b)))
(* 1/2 (fabs (neg b)))
(* 1/2 (fabs (neg b)))
(* 1/2 (fabs (neg b)))
(* 1/2 (fabs (neg b)))
(* 1/2 (fabs (neg b)))
(* 1/2 (fabs (neg b)))
(* 1/2 (fabs (neg b)))
(* 1/2 (fabs (* -1 b)))
(* 1/2 (fabs (* -1 b)))
(* 1/2 (fabs (* -1 b)))
(* 1/2 (fabs (* -1 b)))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)

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

eval24.0ms (0.8%)

Memory: 20.1MiB live, 60.2MiB allocated
Compiler: Compiled 1 895 to 394 computations (79.2% saved)

prune17.0ms (0.5%)

Memory

-17.7MiB live, 60.0MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	182	3	185

Accuracy

100.0%

Counts

185 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
▶	50.0%	(*.f64 (fabs.f64 b) #s(literal 1/2 binary64))
✓	53.1%	(*.f64 (fabs.f64 a) #s(literal 1/2 binary64))

Compiler

Compiled 20 to 16 computations (20% saved)

simplify3.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 b)
✓	cost-diff	0	(*.f64 (fabs.f64 b) #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 b) 1/2)
(fabs b)
b
1/2

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

localize15.0ms (0.5%)

Memory

4.2MiB live, 42.8MiB allocated

Localize:

Found 2 expressions of interest:

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

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 (31.1% of total)

ival-mult: 1.0ms (31.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite67.0ms (2.2%)

Memory

1.1MiB live, 118.7MiB 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 b) 1/2)
(fabs b)

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

simplify5.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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 b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(* 1/2 (fabs b))
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)
(fabs b)

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

eval6.0ms (0.2%)

Memory: -21.6MiB live, 18.0MiB allocated
Compiler: Compiled 377 to 77 computations (79.6% saved)

prune5.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	53	3	56

Accuracy

100.0%

Counts

56 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64))
✓	50.0%	(*.f64 (fabs.f64 b) #s(literal 1/2 binary64))
✓	53.1%	(*.f64 (fabs.f64 a) #s(literal 1/2 binary64))

Compiler

Compiled 47 to 31 computations (34% saved)

regimes20.0ms (0.6%)

Memory

-32.8MiB live, 48.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(-.f64 a b)
4.0ms	a
2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	(fabs.f64 (-.f64 a b))
2.0ms	b

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes10.0ms (0.3%)

Memory

34.9MiB live, 34.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
(*.f64 (fabs.f64 a) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 b) #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	b
2.0ms	a

Results

Accuracy	Segments	Branch
81.5%	2	`a`
85.7%	2	`b`
61.3%	4	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
61.3%	4	`(fabs.f64 (-.f64 a b))`
61.3%	4	`(-.f64 a b)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes7.0ms (0.2%)

Memory

-13.7MiB live, 26.1MiB 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:

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

Results

Accuracy	Segments	Branch
53.1%	1	`(-.f64 a b)`
53.1%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
53.1%	1	`(fabs.f64 (-.f64 a b))`
53.1%	1	`a`
53.1%	1	`b`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch12.0ms (0.4%)

Memory

-3.3MiB live, 36.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.7637255949281225e-121	1.783361675620008e-115

Samples

6.0ms

144×

valid

Compiler

Compiled 137 to 119 computations (13.1% saved)

Precisions

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

ival-sub: 1.0ms (38.5% of total)

ival-div: 1.0ms (38.5% of total)

ival-fabs: 1.0ms (38.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify59.0ms (1.9%)

Memory

-31.6MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-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	13	22
1	20	22
2	27	22
3	32	22
4	35	22
5	36	22

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 b #s(literal 6033329254406893/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (*.f64 (fabs.f64 a) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 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))
(if (<=.f64 b #s(literal 6033329254406893/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (.f64 (fabs.f64 a) #s(literal 1/2 binary64)) (.f64 (fabs.f64 b) #s(literal 1/2 binary64)))
(if (<=.f64 b #s(literal 6033329254406893/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 binary64)) (.f64 #s(literal 1/2 binary64) (fabs.f64 a)) (.f64 #s(literal 1/2 binary64) (fabs.f64 b)))
(*.f64 (fabs.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 a))

soundness509.0ms (16.3%)

Memory

30.2MiB live, 348.1MiB 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	8	14
1	19	14
2	49	14
3	258	14
0	2860	14
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
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 81 to 58 computations (28.4% saved)

preprocess29.0ms (0.9%)

Memory: 0.4MiB live, 77.5MiB allocated
Remove: (sort a b)
Compiler: Compiled 96 to 62 computations (35.4% 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	12	168
1	22	168
2	30	168
3	36	168
4	41	168
5	43	168
6	52	168
7	59	168
8	68	168
0	68	168

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	12	168
1	22	168
2	30	168
3	36	168
4	41	168
5	43	168
6	52	168
7	59	168
8	68	168
0	68	168

analyze0.0ms (0%)

sample531.0ms (17%)

preprocess23.0ms (0.7%)

explain69.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (1.1%)

localize18.0ms (0.6%)

series4.0ms (0.1%)

rewrite314.0ms (10.1%)

simplify344.0ms (11%)

eval52.0ms (1.7%)

prune52.0ms (1.7%)

simplify7.0ms (0.2%)

localize20.0ms (0.6%)

series1.0ms (0%)

rewrite375.0ms (12%)

simplify221.0ms (7.1%)

eval84.0ms (2.7%)

prune44.0ms (1.4%)

simplify5.0ms (0.2%)

localize26.0ms (0.8%)

series3.0ms (0.1%)

rewrite93.0ms (3%)

simplify10.0ms (0.3%)

eval24.0ms (0.8%)

prune17.0ms (0.5%)

simplify3.0ms (0.1%)

localize15.0ms (0.5%)

series1.0ms (0%)

rewrite67.0ms (2.2%)

simplify5.0ms (0.1%)

eval6.0ms (0.2%)

prune5.0ms (0.2%)

regimes20.0ms (0.6%)

regimes10.0ms (0.3%)

regimes7.0ms (0.2%)

bsearch12.0ms (0.4%)

simplify59.0ms (1.9%)

soundness509.0ms (16.3%)

preprocess29.0ms (0.9%)

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

Iter	Nodes	Cost
0	12	168
1	22	168
2	30	168
3	36	168
4	41	168
5	43	168
6	52	168
7	59	168
8	68	168
0	68	168