Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (21.7%)

Memory

6.1MiB live, 957.7MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-mult: 282.0ms (75% of total)

ival-sub: 47.0ms (12.5% of total)

ival-add: 33.0ms (8.8% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain223.0ms (3.9%)

Memory

-21.4MiB live, 138.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
0	-	-	`y`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	26
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	32

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

172.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-mult: 7.0ms (56.7% of total)

ival-sub: 3.0ms (24.3% of total)

ival-add: 2.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess87.0ms (1.5%)

Memory

28.5MiB live, 66.4MiB allocated

Algorithm

1×	egg-herbie

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
358×	`unsub-neg`
346×	`distribute-rgt-in`
294×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	188	81
3	533	68
4	1125	64
5	1893	63
6	2270	63
7	2306	63
8	2310	63
9	2310	63
0	8	9
0	12	9
1	19	9
2	29	9
3	52	9
4	107	8
5	155	7
6	246	7
7	396	7
8	557	7
9	624	7
10	626	7
0	626	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify29.0ms (0.5%)

Memory

-7.3MiB live, 32.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
cost-diff	0	(*.f64 x y)
cost-diff	448	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
240×	`lower-*.f32`
236×	`lower-*.f64`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

1.1MiB live, 37.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	1.1757750574906174	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

18.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 5.0ms (63.9% of total)

ival-sub: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-23.4MiB live, 14.5MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ 1 (/ (* x y) z)) x)) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ 1 (/ (* x y) z)) x)) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ 1 (/ (* x y) z)) x)) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor inf z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor inf z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor inf z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor inf z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* z (- 1 x)) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* z (- 1 x)) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* z (- 1 x)) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ y (* -1 z)))) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ y (* -1 z)))) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (+ y (* -1 z)))) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* x z))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* x z))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* x z))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 z))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* -1 z) (/ z x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* -1 z) (/ z x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* -1 z) (/ z x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 z) (/ z x))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 z) (/ z x))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 z) (/ z x))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	z	@	inf	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	y	@	0	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	z	@	0	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))

simplify213.0ms (3.7%)

Memory

13.1MiB live, 134.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 668×	`lower-fma.f64`
7 668×	`lower-fma.f32`
2 374×	`lower-*.f64`
2 374×	`lower-*.f32`
1 516×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	498
1	192	442
2	558	442
3	1381	442
4	3873	442
5	6264	442
6	7986	442
0	8227	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite441.0ms (7.6%)

Memory

-12.2MiB live, 218.8MiB allocated

Rules

6 772×	`lower-*.f32`
6 768×	`lower-*.f64`
6 392×	`lower-fma.f64`
6 392×	`lower-fma.f32`
3 490×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	44	20
2	314	20
3	3845	20
0	11265	19

Stop Event

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

Counts

4 → 317

Calls

Call 1

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

Outputs
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eval104.0ms (1.8%)

Memory: -7.9MiB live, 79.1MiB allocated
Compiler: Compiled 9 093 to 1 128 computations (87.6% saved)

prune112.0ms (1.9%)

Memory

-8.6MiB live, 27.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	406	5	411
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	407	5	412

Accuracy

100.0%

Counts

412 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
▶	63.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
▶	64.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	37.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 62 to 62 computations (0% saved)

simplify27.0ms (0.5%)

Memory

-2.2MiB live, 33.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
cost-diff	320	(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 (-.f64 y z) x)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
cost-diff	0	(-.f64 y z)
cost-diff	0	(fma.f64 (-.f64 y z) x z)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))

Rules

608×	`lower-fma.f32`
604×	`lower-fma.f64`
240×	`lower-*.f32`
234×	`lower-*.f64`
152×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	118
0	26	112
1	37	112
2	54	104
3	87	104
4	150	104
5	212	104
6	339	104
7	525	104
8	693	104
9	714	104
10	714	104
0	714	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.7%)

Memory

-3.7MiB live, 84.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	0.7656167428166806	(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
accuracy	0	(-.f64 y z)
accuracy	0.0078125	(*.f64 (-.f64 y z) x)
accuracy	23.62269465185493	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	22.585538373099638	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
accuracy	0	(*.f64 y x)
accuracy	40.07557261604462	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
accuracy	0	(-.f64 y z)
accuracy	0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
accuracy	0.00390625	(fma.f64 (-.f64 y z) x z)

Samples

30.0ms

256×

valid

Compiler

Compiled 99 to 15 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (66.8% of total)

ival-add: 3.0ms (16.7% of total)

ival-sub: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.6%)

Memory

-4.0MiB live, 33.8MiB allocated

Counts

11 → 336

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) x z) (patch (fma.f64 (-.f64 y z) x z) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ 1 (* -1 x)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) x z) (patch (fma.f64 (-.f64 y z) x z) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ 1 (* -1 x)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) x z) (patch (fma.f64 (-.f64 y z) x z) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ 1 (* -1 x)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y z) x z) (patch (fma.f64 (-.f64 y z) x z) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) x) z) (patch (.f64 (-.f64 #s(literal 1 binary64) x) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (-.f64 y z) x) (patch (.f64 (-.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 (-.f64 y z) x) (patch (.f64 (-.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 (-.f64 y z) x) (patch (.f64 (-.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 (-.f64 y z) x) (patch (.f64 (-.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ 1 (/ (* x y) z)) x)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ 1 (/ (* x y) z)) x)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ 1 (/ (* x y) z)) x)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 x))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y z) x z) (patch (fma.f64 (-.f64 y z) x z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y z) x z) (patch (fma.f64 (-.f64 y z) x z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y z) x z) (patch (fma.f64 (-.f64 y z) x z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 y z) x z) (patch (fma.f64 (-.f64 y z) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ 1 (/ (* x y) z)) x)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ 1 (/ (* x y) z)) x)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 (-.f64 y z) x) (patch (.f64 (-.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 (-.f64 y z) x) (patch (.f64 (-.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 (-.f64 y z) x) (patch (.f64 (-.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 (-.f64 y z) x) (patch (.f64 (-.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (patch (fma.f64 y x (.f64 (-.f64 #s(literal 1 binary64) x) z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))
1.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))
1.0ms	y	@	-inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))
1.0ms	z	@	-inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))
1.0ms	z	@	inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))

simplify139.0ms (2.4%)

Memory

21.6MiB live, 163.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 616×	`lower-fma.f64`
6 616×	`lower-fma.f32`
2 600×	`lower-*.f64`
2 600×	`lower-*.f32`
1 434×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	2246
1	388	1796
2	1116	1796
3	2668	1796
4	5324	1796
5	7593	1796
0	8023	1634

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 326

Calls

Call 1

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

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

rewrite440.0ms (7.6%)

Memory

-17.4MiB live, 311.3MiB allocated

Rules

7 622×	`lower-fma.f32`
7 618×	`lower-fma.f64`
4 948×	`lower-*.f32`
4 942×	`lower-*.f64`
2 996×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	26	86
1	97	86
2	594	78
3	7511	78
0	8041	78

Stop Event

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

Counts

11 → 555

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval164.0ms (2.8%)

Memory: 27.5MiB live, 212.1MiB allocated
Compiler: Compiled 21 195 to 1 740 computations (91.8% saved)

prune37.0ms (0.6%)

Memory

9.2MiB live, 95.9MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 108	4	1 112
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 110	7	1 117

Accuracy

100.0%

Counts

1 117 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.9%	(fma.f64 y x (*.f64 #s(approx (- 1 x) (neg.f64 x)) z))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
▶	64.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
✓	63.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
▶	28.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
▶	39.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
✓	37.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 42 to 44 computations (-4.8% saved)

simplify87.0ms (1.5%)

Memory

3.8MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

832×	`lower-fma.f32`
828×	`lower-fma.f64`
400×	`lower-*.f32`
394×	`lower-*.f64`
216×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	121
0	31	121
1	52	121
2	74	121
3	106	115
4	195	115
5	318	115
6	501	115
7	671	115
8	843	115
9	927	115
10	977	115
11	1006	115
12	1014	115
13	1020	115
14	1023	115
15	1025	115
0	1025	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1.6%)

Memory

-3.5MiB live, 69.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(*.f64 #s(approx (- 1 x) (neg.f64 x)) z)
accuracy	0.7656167428166806	(fma.f64 y x (*.f64 #s(approx (- 1 x) (neg.f64 x)) z))
accuracy	31.746290687837188	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(fma.f64 (neg.f64 z) x z)
accuracy	0	(neg.f64 z)
accuracy	22.585538373099638	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(*.f64 #s(approx (- y z) (neg.f64 z)) x)
accuracy	23.62269465185493	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
accuracy	31.050924420012482	#s(approx (- y z) (neg.f64 z))
accuracy	0.01171875	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
accuracy	22.585538373099638	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
accuracy	30.858141374135762	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

30.0ms

256×

valid

Compiler

Compiled 83 to 18 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (50.7% of total)

ival-add: 3.0ms (19% of total)

ival-sub: 2.0ms (12.7% of total)

ival-neg: 2.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.7%)

Memory

-31.5MiB live, 28.6MiB allocated

Counts

13 → 324

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 x)) (taylor 0 z) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 #s(approx (- y z) (neg.f64 z)) x) (patch (.f64 #s(approx (- y z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 #s(approx (- y z) (neg.f64 z)) x) (patch (.f64 #s(approx (- y z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) (patch (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (patch #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 #s(approx (- y z) (neg.f64 z)) x) (patch (.f64 #s(approx (- y z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 #s(approx (- y z) (neg.f64 z)) x) (patch (.f64 #s(approx (- y z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 #s(approx (- y z) (neg.f64 z)) x) (patch (.f64 #s(approx (- y z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 #s(approx (- y z) (neg.f64 z)) x) (patch (.f64 #s(approx (- y z) (neg.f64 z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) (patch #s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) x z) (patch (fma.f64 (neg.f64 z) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) x z) (patch (fma.f64 (neg.f64 z) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) x z) (patch (fma.f64 (neg.f64 z) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) x z) (patch (fma.f64 (neg.f64 z) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 #s(approx (- 1 x) (neg.f64 x)) z)) (patch (fma.f64 y x (.f64 #s(approx (- 1 x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 #s(approx (- 1 x) (neg.f64 x)) z)) (patch (fma.f64 y x (.f64 #s(approx (- 1 x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 #s(approx (- 1 x) (neg.f64 x)) z)) (patch (fma.f64 y x (.f64 #s(approx (- 1 x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x)))))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 #s(approx (- 1 x) (neg.f64 x)) z)) (patch (fma.f64 y x (.f64 #s(approx (- 1 x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (patch (.f64 #s(approx (- 1 x) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (patch (.f64 #s(approx (- 1 x) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (patch (.f64 #s(approx (- 1 x) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ z (* -1 (/ z x))))) (taylor -inf x) (#s(alt (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (patch (.f64 #s(approx (- 1 x) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))
1.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))
1.0ms	z	@	inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))
1.0ms	z	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))
1.0ms	z	@	0	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))

simplify160.0ms (2.8%)

Memory

-4.7MiB live, 184.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 530×	`lower-fma.f64`
7 530×	`lower-fma.f32`
2 846×	`lower-*.f64`
2 846×	`lower-*.f32`
1 732×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1914
1	304	1584
2	871	1584
3	2219	1584
4	4687	1584
5	6901	1584
0	8025	1476

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 314

Calls

Call 1

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

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

rewrite163.0ms (2.8%)

Memory

38.5MiB live, 311.8MiB allocated

Rules

10 702×	`lower-fma.f32`
10 698×	`lower-fma.f64`
6 064×	`lower-*.f32`
6 058×	`lower-*.f64`
3 608×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	110
0	31	110
1	116	110
2	754	110
0	8450	107

Stop Event

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

Counts

13 → 234

Calls

Call 1

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

Outputs
#<batchref>
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eval353.0ms (6.1%)

Memory: -22.4MiB live, 210.9MiB allocated
Compiler: Compiled 7 944 to 876 computations (89% saved)

prune33.0ms (0.6%)

Memory

11.2MiB live, 48.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	577	0	577
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	577	7	584

Accuracy

100.0%

Counts

584 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.9%	(fma.f64 y x (*.f64 #s(approx (- 1 x) (neg.f64 x)) z))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	64.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
✓	63.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	28.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
✓	39.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
✓	37.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 107 to 74 computations (30.8% saved)

regimes21.0ms (0.4%)

Memory

-7.3MiB live, 36.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
4.0ms	z

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
3.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
88.6%	3	`x`
80.9%	3	`y`
81.8%	3	`z`
79.2%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.2%)

Memory

-8.7MiB live, 27.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

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

Calls

3 calls:

5.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
79.1%	3	`y`
79.3%	3	`z`
66.7%	2	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes37.0ms (0.6%)

Memory

-4.8MiB live, 28.3MiB allocated

Counts

3 → 6

Calls

Call 1

Inputs

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

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

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))

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

Calls

4 calls:

31.0ms	x
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
70.1%	6	`x`
55.0%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
60.9%	5	`y`
55.8%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
62.9%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.4%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
37.4%	1	`z`
37.4%	1	`y`
37.4%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch43.0ms (0.7%)

Memory

-13.4MiB live, 70.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.8247266864234524e-14	257170.51679970408
20.0ms	-2.1431984850955235e-72	-6.783607105974741e-76

Samples

30.0ms

288×

valid

Compiler

Compiled 228 to 284 computations (-24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 11.0ms (67% of total)

ival-mult: 4.0ms (24.4% of total)

ival-add: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Memory

-10.3MiB live, 66.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.0244268950913223e-83	1.889774579067461e-83
11.0ms	-5.0434718364075965e-115	-1.6916969908134187e-116

Samples

8.0ms

176×

valid

Compiler

Compiled 122 to 168 computations (-37.7% saved)

Precisions

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

ival-mult: 2.0ms (47.9% of total)

ival-sub: 1.0ms (23.9% of total)

ival-add: 1.0ms (23.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch174.0ms (3%)

Memory

19.7MiB live, 101.0MiB allocated

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	5.9270858121925916e+66	2.264666669172185e+67
40.0ms	1.3556299397878703e-21	5.3281303441086944e-18
12.0ms	-8.387848677435071e-67	-3.8559509620998737e-72
99.0ms	-9.980954070496805e+69	-2.3740231314288386e+62
11.0ms	-3.5309876156992697e+277	-2.58219630821168e+268

Samples

146.0ms

640×

valid

Compiler

Compiled 395 to 574 computations (-45.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 125.0ms (94.9% of total)

ival-sub: 3.0ms (2.3% of total)

ival-add: 3.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3556299397878703e-21	5.3281303441086944e-18
1.0ms	-8.387848677435071e-67	-3.8559509620998737e-72

Compiler

Compiled 165 to 252 computations (-52.7% saved)

simplify38.0ms (0.7%)

Memory

-10.0MiB live, 64.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	296
1	69	296
2	75	296
3	78	296
4	79	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -3381798007586549/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (<=.f64 z #s(literal -2051775573649403/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (if (<=.f64 z #s(literal 7217927391783939/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(if (<=.f64 x #s(literal -450000000000000029485174930860545353852874851546598598054343735477998876490186967182626224127772173063421073063193031084820047265891739095743967974427664586855968695908980376058841672022023939463903928857466490983314058875118490969260318537321814156106576171232224924925952 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal -4200000000000000304632032802422787529865172520515392213176482653011968 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 1687496479023819/324518553658426726783156020576256 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 12000000000000000092156844732391635628802393190991881159827561381888 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)))))))
(if (<=.f64 x #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 1687496479023819/324518553658426726783156020576256 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -3381798007586549/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 6456360425798343/9223372036854775808 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (<=.f64 z #s(literal -2051775573649403/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (if (<=.f64 z #s(literal 7217927391783939/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(if (<=.f64 x #s(literal -450000000000000029485174930860545353852874851546598598054343735477998876490186967182626224127772173063421073063193031084820047265891739095743967974427664586855968695908980376058841672022023939463903928857466490983314058875118490969260318537321814156106576171232224924925952 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal -4200000000000000304632032802422787529865172520515392213176482653011968 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 1687496479023819/324518553658426726783156020576256 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 12000000000000000092156844732391635628802393190991881159827561381888 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)))))))
(if (<=.f64 x #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 1687496479023819/324518553658426726783156020576256 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

soundness1.1s (18.4%)

Memory

-10.8MiB live, 412.6MiB allocated

Rules

7 668×	`lower-fma.f64`
7 668×	`lower-fma.f32`
6 616×	`lower-fma.f64`
6 616×	`lower-fma.f32`
2 600×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	2246
1	388	1796
2	1116	1796
3	2668	1796
4	5324	1796
5	7593	1796
0	8023	1634
0	57	498
1	192	442
2	558	442
3	1381	442
4	3873	442
5	6264	442
6	7986	442
0	8227	415

Stop Event

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

Compiler

Compiled 181 to 118 computations (34.8% saved)

preprocess42.0ms (0.7%)

Memory: 2.4MiB live, 113.4MiB allocated
Compiler: Compiled 280 to 116 computations (58.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	19	118
0	26	112
1	37	112
2	54	104
3	87	104
4	150	104
5	212	104
6	339	104
7	525	104
8	693	104
9	714	104
10	714	104
0	714	104

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	19	118
0	26	112
1	37	112
2	54	104
3	87	104
4	150	104
5	212	104
6	339	104
7	525	104
8	693	104
9	714	104
10	714	104
0	714	104

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (21.7%)

explain223.0ms (3.9%)

preprocess87.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify29.0ms (0.5%)

localize23.0ms (0.4%)

series11.0ms (0.2%)

simplify213.0ms (3.7%)

rewrite441.0ms (7.6%)

eval104.0ms (1.8%)

prune112.0ms (1.9%)

simplify27.0ms (0.5%)

localize42.0ms (0.7%)

series34.0ms (0.6%)

simplify139.0ms (2.4%)

rewrite440.0ms (7.6%)

eval164.0ms (2.8%)

prune37.0ms (0.6%)

simplify87.0ms (1.5%)

localize91.0ms (1.6%)

series39.0ms (0.7%)

simplify160.0ms (2.8%)

rewrite163.0ms (2.8%)

eval353.0ms (6.1%)

prune33.0ms (0.6%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes37.0ms (0.6%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch43.0ms (0.7%)

bsearch20.0ms (0.3%)

bsearch174.0ms (3%)

bsearch2.0ms (0%)

simplify38.0ms (0.7%)

soundness1.1s (18.4%)

preprocess42.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	19	118
0	26	112
1	37	112
2	54	104
3	87	104
4	150	104
5	212	104
6	339	104
7	525	104
8	693	104
9	714	104
10	714	104
0	714	104