Metrics for simple fma test

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 15 to 10 computations (33.3% saved)

sample1.4s (31.2%)

Memory

50.7MiB live, 1 386.6MiB allocated

Samples

888.0ms	6 077×	1	valid
104.0ms	2 179×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 714.0ms

ival-sub: 283.0ms (39.6% of total)

ival-add: 144.0ms (20.2% of total)

ival-mult: 140.0ms (19.6% of total)

adjust: 136.0ms (19% of total)

ival-true: 5.0ms (0.7% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess1.0s (22.7%)

Memory

-2.9MiB live, 982.9MiB allocated

Algorithm

1×	egg-herbie

Rules

23 408×	`lower-fma.f32`
23 406×	`lower-fma.f64`
4 272×	`lower-+.f32`
4 268×	`lower-+.f64`
3 446×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	138
1	119	117
2	389	9
3	1499	9
4	3070	9
5	3872	9
6	4575	9
7	5309	9
8	5959	9
9	6043	9
10	6043	9
11	6151	9
12	6238	9
13	6259	9
14	6271	9
15	6277	9
16	6277	9
0	9	11
0	15	11
1	28	11
2	71	1
3	233	1
4	544	1
5	1918	1
6	3446	1
7	4600	1
8	5183	1
9	5313	1
10	5345	1
11	5345	1
12	5613	1
13	5783	1
14	5859	1
15	5875	1
16	5875	1
17	5891	1
18	5891	1
19	6019	1
20	6765	1
0	8508	1

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

Outputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
#s(literal -1 binary64)

Symmetry

(abs z)

(abs y)

(abs x)

(sort x y z)

explain184.0ms (4.1%)

Memory

-0.7MiB live, 309.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
231	1	(1.1231882242846344e-135 0.0023085824070902543 4373837124745905.0)	-	`(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`
0	0	-	-	`(+.f64 (*.f64 x y) z)`
0	0	-	-	`(fma.f64 x y z)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))`
0	0	-	-	`z`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`y`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`	cancellation	222	0
`-.f64`	`(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`	nan-rescue	10	0
↳	`(fma.f64 x y z)`	overflow	10
↳	`(+.f64 (*.f64 x y) z)`	overflow	10
↳	`(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))`	overflow	10
↳	`(*.f64 x y)`	overflow	10

Confusion

	Predicted +	Predicted -
+	231	0
-	1	24

Precision

0.9956896551724138

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	231	0	0
-	1	0	24

Precision?

0.9956896551724138

Recall?

1.0

Freqs

test

number	freq
0	24
1	232

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

81.0ms	464×	1	valid
3.0ms	48×	0	valid

Compiler

Compiled 108 to 38 computations (64.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

adjust: 15.0ms (44.3% of total)

ival-add: 8.0ms (23.6% of total)

ival-mult: 5.0ms (14.8% of total)

ival-sub: 5.0ms (14.8% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.5%	(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify786.0ms (17.5%)

Memory

36.6MiB live, 827.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
✓	cost-diff	0	(fma.f64 x y z)
✓	cost-diff	128	(+.f64 (*.f64 x y) z)
✓	cost-diff	1152	(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

Rules

23 408×	`lower-fma.f32`
23 406×	`lower-fma.f64`
4 272×	`lower-+.f32`
4 268×	`lower-+.f64`
2 278×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	15	32
1	28	32
2	71	22
3	233	22
4	544	22
5	1918	22
6	3446	22
7	4600	22
8	5183	22
9	5313	22
10	5345	22
11	5345	22
12	5613	22
13	5783	22
14	5859	22
15	5875	22
16	5875	22
17	5891	22
18	5891	22
19	6019	22
20	6765	22
0	8508	22

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
(fma.f64 x y z)
x
y
z
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
#s(literal 1 binary64)
(+.f64 (*.f64 x y) z)
(*.f64 x y)

Outputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
#s(literal -1 binary64)
(fma.f64 x y z)
x
y
z
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
(+.f64 (fma.f64 x y z) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(*.f64 x y)

localize42.0ms (0.9%)

Memory

-16.1MiB live, 60.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	12.5%	(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

Samples

31.0ms	232×	1	valid
1.0ms	24×	0	valid

Compiler

Compiled 39 to 10 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 6.0ms (29.1% of total)

adjust: 5.0ms (24.2% of total)

ival-mult: 5.0ms (24.2% of total)

ival-add: 4.0ms (19.4% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#<alt (-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))>
#<alt (+.f64 (*.f64 x y) z)>
#<alt (fma.f64 x y z)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))>
#<alt (*.f64 x y)>

Outputs
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (+ 1 z)>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (/ 1 x) (/ z x))))>
#<alt (* x (+ y (+ (/ 1 x) (/ z x))))>
#<alt (* x (+ y (+ (/ 1 x) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))>
#<alt (+ 1 z)>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (/ 1 y) (/ z y))))>
#<alt (* y (+ x (+ (/ 1 y) (/ z y))))>
#<alt (* y (+ x (+ (/ 1 y) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt (+ 1 (+ z (* x y)))>
#<alt z>
#<alt (* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+ (* x y) z)
0.0ms	x	@	-inf	(+ (* x y) z)
0.0ms	y	@	inf	(+ (* x y) z)
0.0ms	x	@	inf	(+ (* x y) z)
0.0ms	x	@	0	(+ (* x y) z)

rewrite270.0ms (6%)

Memory

7.7MiB live, 604.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 312×	`lower-fma.f32`
4 310×	`lower-fma.f64`
4 202×	`lower-*.f32`
4 200×	`lower-*.f64`
3 672×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	15	28
1	63	28
2	628	18
0	8466	18

Stop Event

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

Counts

5 → 148

Calls

Call 1

Inputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))
(*.f64 x y)

Outputs
#s(literal -1 binary64)
(+.f64 z (*.f64 x y))
(+.f64 (*.f64 x y) z)
(+.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (neg.f64 z))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x y (neg.f64 z)))))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (.f64 z z) (fma.f64 x y (neg.f64 z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 z (.f64 x y))))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 (.f64 x (.f64 y (.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x y (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (.f64 x y)))) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 z (.f64 z z))) (fma.f64 z (-.f64 z (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 z (.f64 z z))) (fma.f64 z z (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (*.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (fma.f64 x y (neg.f64 z)))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 z (.f64 z z)))) (neg.f64 (fma.f64 z (-.f64 z (.f64 x y)) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 z (.f64 z z)))) (neg.f64 (fma.f64 z z (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (*.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z)))) (neg.f64 (fma.f64 x y (neg.f64 z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (neg.f64 z))) (.f64 (fma.f64 x y (neg.f64 z)) (.f64 z z))) (*.f64 (fma.f64 x y (neg.f64 z)) (fma.f64 x y (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 z (.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))))) (neg.f64 (neg.f64 (fma.f64 x y (neg.f64 z)))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y))))) (neg.f64 (-.f64 z (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (fma.f64 x y (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (neg.f64 z))) (fma.f64 (/.f64 (.f64 z z) (fma.f64 x y (neg.f64 z))) (/.f64 (.f64 z z) (fma.f64 x y (neg.f64 z))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 x y (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x y (neg.f64 z)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) #s(literal -1 binary64))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x y)) (.f64 x (.f64 y (*.f64 x y))))))
(.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (.f64 x y))))))
(.f64 (.f64 (fma.f64 x y z) (fma.f64 x y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
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(*.f64 (fma.f64 (fma.f64 x y z) (fma.f64 x y z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 x y #s(literal -1 binary64)))))
(.f64 (-.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 1 binary64)) z)))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 x y) #s(literal 1 binary64))

simplify513.0ms (11.4%)

Memory

-41.9MiB live, 331.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 866×	`lower-fma.f64`
5 866×	`lower-fma.f32`
2 620×	`lower-*.f64`
2 620×	`lower-*.f32`
1 204×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	630
1	204	630
2	610	630
3	1487	630
4	3776	630
5	5497	630
6	6816	630
7	7550	630
0	8021	548

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 158

Calls

Call 1

Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(+ 1 z)
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(* x y)
(* x (+ y (+ (/ 1 x) (/ z x))))
(* x (+ y (+ (/ 1 x) (/ z x))))
(* x (+ y (+ (/ 1 x) (/ z x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+ 1 z)
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(* x y)
(* y (+ x (+ (/ 1 y) (/ z y))))
(* y (+ x (+ (/ 1 y) (/ z y))))
(* y (+ x (+ (/ 1 y) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(+ 1 (* x y))
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
(+ 1 (+ z (* x y)))
z
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (/ 1 x) (/ z x))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x (+ y (+ (/ 1 x) (/ z x))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x (+ y (+ (/ 1 x) (/ z x))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 z) x)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (/ 1 y) (/ z y))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* y (+ x (+ (/ 1 y) (/ z y))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* y (+ x (+ (/ 1 y) (/ z y))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 1 z) y)))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (* x y))
(fma.f64 x y #s(literal 1 binary64))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(+ 1 (+ z (* x y)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
z
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* z (+ 1 (+ (/ 1 z) (/ (* x y) z))))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
z
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* -1 (* z (- (* -1 (/ (+ 1 (* x y)) z)) 1)))
(+.f64 z (fma.f64 x y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval33.0ms (0.7%)

Memory: 35.7MiB live, 70.9MiB allocated
Compiler: Compiled 5 470 to 454 computations (91.7% saved)

prune49.0ms (1.1%)

Memory

-29.2MiB live, 47.8MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	305	1	306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	306	1	307

Accuracy

100.0%

Counts

307 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(literal -1 binary64)

Compiler

Compiled 4 to 4 computations (0% saved)

simplify4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

localize7.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated

Samples

5.0ms

256×

valid

Compiler

Compiled 3 to 6 computations (-100% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite10.0ms (0.2%)

Memory

-28.0MiB live, 15.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(literal -1 binary64)

Compiler

Compiled 20 to 14 computations (30% saved)

regimes6.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Accuracy

Total -56.0b remaining (-∞%)

Threshold costs -56b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

Outputs
#s(literal -1 binary64)

Calls

4 calls:

2.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify7.0ms (0.2%)

Memory

-21.5MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

soundness121.0ms (2.7%)

Memory

-0.7MiB live, 117.7MiB allocated

Rules

4 312×	`lower-fma.f32`
4 310×	`lower-fma.f64`
4 202×	`lower-*.f32`
4 200×	`lower-*.f64`
3 672×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	15	28
1	63	28
2	628	18
0	8466	18

Stop Event

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

Compiler

Compiled 8 to 8 computations (0% saved)

preprocess29.0ms (0.6%)

Memory

8.9MiB live, 86.4MiB allocated

Remove

(sort x y z)

(abs x)

(abs y)

(abs z)

Compiler

Compiled 78 to 66 computations (15.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.4s (31.2%)

preprocess1.0s (22.7%)

explain184.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify786.0ms (17.5%)

localize42.0ms (0.9%)

series5.0ms (0.1%)

rewrite270.0ms (6%)

simplify513.0ms (11.4%)

eval33.0ms (0.7%)

prune49.0ms (1.1%)

simplify4.0ms (0.1%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite10.0ms (0.2%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes6.0ms (0.1%)

simplify7.0ms (0.2%)

soundness121.0ms (2.7%)

preprocess29.0ms (0.6%)

end0.0ms (0%)

Profiling