Metrics for Diagrams.TwoD.Segment:bezierClip from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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 (23.8%)

Memory

-140.5MiB live, 1 123.9MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 555.0ms

ival-mult: 311.0ms (56.1% of total)

ival-add: 190.0ms (34.3% of total)

ival-sub: 39.0ms (7% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain128.0ms (2.3%)

Memory

-24.0MiB live, 136.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	26
↳	`(*.f64 z (-.f64 #s(literal 1 binary64) y))`	overflow	27

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

48.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (55.7% of total)

ival-sub: 3.0ms (23.9% of total)

ival-add: 2.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess93.0ms (1.7%)

Memory

-2.6MiB live, 75.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	188	81
3	533	68
4	1121	64
5	1898	63
6	2275	63
7	2311	63
8	2315	63
9	2315	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	556	7
9	625	7
10	627	7
0	627	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify22.0ms (0.4%)

Memory

15.8MiB live, 53.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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	556	22
9	625	22
10	627	22
0	627	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

5.7MiB live, 44.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(*.f64 z (-.f64 #s(literal 1 binary64) y))
accuracy	1.2031167433208234	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Samples

16.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (44.1% of total)

ival-add: 2.0ms (29.4% of total)

ival-sub: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Memory

-31.5MiB live, 29.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y))
6.0ms	x	@	0	((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y))
1.0ms	z	@	inf	((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y))
1.0ms	y	@	0	((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y))
1.0ms	y	@	inf	((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y))

simplify133.0ms (2.4%)

Memory

17.2MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 608×	`lower-fma.f64`
7 608×	`lower-fma.f32`
2 646×	`lower-*.f64`
2 646×	`lower-*.f32`
1 572×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	498
1	193	442
2	559	442
3	1395	442
4	3892	442
5	6259	442
0	8055	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite663.0ms (11.8%)

Memory

4.0MiB live, 281.8MiB 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	3850	20
0	11254	19

Stop Event

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

Counts

4 → 317

Calls

Call 1

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

Outputs
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eval56.0ms (1%)

Memory: -0.9MiB live, 154.3MiB allocated
Compiler: Compiled 9 093 to 1 129 computations (87.6% saved)

prune10.0ms (0.2%)

Memory

0.8MiB live, 39.2MiB 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
▶	98.4%	(fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))
▶	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
▶	61.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
▶	64.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
▶	38.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 62 to 62 computations (0% saved)

simplify34.0ms (0.6%)

Memory

-23.4MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	320	(fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) y)
cost-diff	0	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff	0	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))
cost-diff	0	(-.f64 x z)
cost-diff	0	(fma.f64 (-.f64 x z) y z)
cost-diff	0	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y 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	116
0	26	110
1	36	110
2	53	102
3	86	102
4	149	102
5	211	102
6	338	102
7	524	102
8	693	102
9	714	102
10	714	102
0	714	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.7%)

Memory

9.8MiB live, 82.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	1.0117077404222408	(fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0.015625	(*.f64 (-.f64 x z) y)
accuracy	24.45312828796862	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	22.636534622554855	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy	0	(*.f64 y x)
accuracy	39.28420294595715	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
accuracy	0.00390625	(fma.f64 (-.f64 x z) y z)

Samples

28.0ms

256×

valid

Compiler

Compiled 97 to 16 computations (83.5% saved)

Precisions

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

ival-mult: 9.0ms (58% of total)

ival-sub: 3.0ms (19.3% of total)

ival-add: 3.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

7.1MiB live, 45.7MiB allocated

Counts

11 → 336

Calls

Call 1

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

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

Calls

9 calls:

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

simplify147.0ms (2.6%)

Memory

22.0MiB live, 100.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 596×	`lower-fma.f64`
6 596×	`lower-fma.f32`
2 692×	`lower-*.f64`
2 692×	`lower-*.f32`
1 478×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	2246
1	390	1796
2	1120	1796
3	2690	1796
4	5358	1796
5	7503	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 y)))
(+ (* x y) (* z (- 1 y)))
(+ (* x y) (* z (- 1 y)))
(* x y)
(+ (* x y) (* z (+ 1 (* -1 y))))
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Outputs
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(* x y)
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(+ (* x y) (* z (- 1 y)))
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(* x y)
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(* x y)
(*.f64 y x)
z
(+ z (* y (+ x (* -1 z))))
(fma.f64 (-.f64 x z) y z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 (-.f64 x z) y z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 (-.f64 x z) y z)
z
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
z
(+ z (* y (+ x (* -1 z))))
(fma.f64 (-.f64 x z) y z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 (-.f64 x z) y z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 (-.f64 x z) y z)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
z
(+ z (* y (+ x (* -1 z))))
(fma.f64 (-.f64 x z) y z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 (-.f64 x z) y z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (* -1 z)))
(*.f64 (-.f64 x z) y)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- (+ x (/ z y)) z))
(fma.f64 (-.f64 x z) y z)
(* y (- (+ x (/ z y)) z))
(fma.f64 (-.f64 x z) y z)
(* y (- (+ x (/ z y)) z))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (* -1 z)))
(*.f64 (-.f64 x z) y)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 z)))
(*.f64 (-.f64 x z) y)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (+ x (* -1 z)))
(*.f64 (-.f64 x z) y)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (+ x (* -1 z)))
(*.f64 (-.f64 x z) y)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (* -1 x))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (* -1 x))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ z (* -1 x))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (+ z (* -1 x))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* -1 (* y (+ z (* -1 x))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 (-.f64 x z) y z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 (-.f64 x z) y z)
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 (-.f64 x z) y z)
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 (-.f64 x z) y z)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(+ (* -1 (* y z)) (* x y))
(*.f64 (-.f64 x z) y)
(+ (* -1 (* y z)) (* x y))
(*.f64 (-.f64 x z) y)
(+ (* -1 (* y z)) (* x y))
(*.f64 (-.f64 x z) y)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 (-.f64 x z) y z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x y)
(*.f64 y x)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y 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)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x (+ y (* -1 (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x y)
(*.f64 y x)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 (-.f64 x z) y z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y 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 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(*.f64 (-.f64 x z) y)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 (-.f64 x z) y z)

rewrite206.0ms (3.7%)

Memory

4.0MiB live, 228.5MiB allocated

Rules

9 930×	`lower-fma.f32`
9 926×	`lower-fma.f64`
6 080×	`lower-*.f32`
6 074×	`lower-*.f64`
3 818×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	26	86
1	103	86
2	685	78
0	8515	78

Stop Event

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

Counts

11 → 648

Calls

Call 1

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

Outputs
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eval156.0ms (2.8%)

Memory: -2.0MiB live, 249.4MiB allocated
Compiler: Compiled 23 967 to 1 863 computations (92.2% saved)

prune210.0ms (3.7%)

Memory

2.4MiB live, 77.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 156	4	1 160
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 158	7	1 165

Accuracy

100.0%

Counts

1 165 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.2%	(fma.f64 #s(approx (- 1 y) (neg.f64 y)) z (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
▶	64.6%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))
✓	61.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
▶	27.1%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
▶	38.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	38.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 42 to 44 computations (-4.8% saved)

simplify46.0ms (0.8%)

Memory

-31.2MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 1 y) (neg.f64 y))
cost-diff	0	(fma.f64 #s(approx (- 1 y) (neg.f64 y)) z (*.f64 y x))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) y z)
cost-diff	0	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- x z) (neg.f64 z))
cost-diff	0	(*.f64 #s(approx (- x z) (neg.f64 z)) y)
cost-diff	0	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
cost-diff	0	#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
cost-diff	0	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #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	116
0	31	116
1	52	116
2	74	116
3	106	110
4	195	110
5	317	110
6	501	110
7	673	110
8	847	110
9	933	110
10	987	110
11	1020	110
12	1028	110
13	1034	110
14	1037	110
15	1039	110
0	1039	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.8%)

Memory

1.9MiB live, 78.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 y)
accuracy	1.0117077404222408	(fma.f64 #s(approx (- 1 y) (neg.f64 y)) z (*.f64 y x))
accuracy	32.635301114093494	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(fma.f64 (neg.f64 z) y z)
accuracy	0	(neg.f64 z)
accuracy	22.636534622554855	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))
accuracy	0	(neg.f64 z)
accuracy	0.015625	(*.f64 #s(approx (- x z) (neg.f64 z)) y)
accuracy	24.45312828796862	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
accuracy	29.768341953221935	#s(approx (- x z) (neg.f64 z))
accuracy	0.0078125	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	22.636534622554855	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
accuracy	30.63953830986377	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

29.0ms

256×

valid

Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions

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

ival-mult: 11.0ms (59.8% of total)

ival-add: 3.0ms (16.3% of total)

ival-sub: 2.0ms (10.9% of total)

ival-neg: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

29.6MiB live, 29.5MiB allocated

Counts

13 → 324

Calls

Call 1

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

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

Calls

9 calls:

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

simplify126.0ms (2.2%)

Memory

-14.7MiB live, 178.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 296×	`lower-fma.f64`
7 296×	`lower-fma.f32`
2 904×	`lower-*.f64`
2 904×	`lower-*.f32`
1 306×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1872
1	306	1542
2	875	1542
3	2252	1542
4	4762	1542
5	6926	1542
0	8001	1434

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 315

Calls

Call 1

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

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

rewrite197.0ms (3.5%)

Memory

12.1MiB live, 217.8MiB allocated

Rules

10 580×	`lower-fma.f32`
10 576×	`lower-fma.f64`
6 082×	`lower-*.f32`
6 076×	`lower-*.f64`
3 608×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	105
0	31	105
1	116	105
2	755	105
0	8481	102

Stop Event

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

Counts

13 → 238

Calls

Call 1

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

Outputs
#<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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eval275.0ms (4.9%)

Memory: -12.6MiB live, 97.1MiB allocated
Compiler: Compiled 7 995 to 863 computations (89.2% saved)

prune18.0ms (0.3%)

Memory

10.0MiB live, 57.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	582	0	582
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	582	7	589

Accuracy

100.0%

Counts

589 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.2%	(fma.f64 #s(approx (- 1 y) (neg.f64 y)) z (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
✓	64.6%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))
✓	61.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
✓	27.1%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
✓	38.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	38.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 107 to 74 computations (30.8% saved)

regimes17.0ms (0.3%)

Memory

-4.0MiB live, 35.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
4.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))
4.0ms	x
4.0ms	y

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes13.0ms (0.2%)

Memory

-14.9MiB live, 23.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
3.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
77.6%	3	`x`
86.6%	3	`y`
83.0%	3	`z`
76.7%	5	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
86.6%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
78.8%	3	`z`
71.5%	4	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

-20.4MiB live, 18.3MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

3.0ms	y
2.0ms	x
2.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))
2.0ms	z

Results

Accuracy	Segments	Branch
68.9%	5	`y`
53.8%	5	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
57.2%	5	`x`
62.3%	5	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
62.3%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.6%	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
38.6%	1	`x`
38.6%	1	`z`
38.6%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch187.0ms (3.3%)

Memory

-17.5MiB live, 25.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1331013.5421646305	3944169904717046.5
10.0ms	-18286706951.571503	-9885198.601215344

Samples

12.0ms

272×

valid

Compiler

Compiled 216 to 252 computations (-16.7% saved)

Precisions

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

ival-mult: 4.0ms (64.8% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1331013.5421646305	3944169904717046.5
1.0ms	-18286706951.571503	-9885198.601215344

Compiler

Compiled 216 to 269 computations (-24.5% saved)

bsearch29.0ms (0.5%)

Memory

30.6MiB live, 30.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.1302869266199986e-153	5.115678193624343e-143
13.0ms	-4.412861851485926e-80	-3.0559927130997965e-90

Samples

15.0ms

320×

valid

Compiler

Compiled 212 to 294 computations (-38.7% saved)

Precisions

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

ival-mult: 4.0ms (53.5% of total)

ival-sub: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch45.0ms (0.8%)

Memory

-16.1MiB live, 58.4MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.568151477764549e+135	3.012038278172638e+138
10.0ms	0.5817022269574041	2441.310602990325
1.0ms	-18286706951.571503	-9885198.601215344
15.0ms	-7.4730030218598e+229	-2.794819674316726e+221

Samples

26.0ms

400×

valid

Compiler

Compiled 342 to 492 computations (-43.9% saved)

Precisions

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

ival-mult: 5.0ms (52.9% of total)

ival-sub: 2.0ms (21.2% of total)

ival-add: 2.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.5820856578113556e-64	1.2015442451442224e-62
1.0ms	-18286706951.571503	-9885198.601215344

Samples

5.0ms

112×

valid

Compiler

Compiled 147 to 224 computations (-52.4% saved)

Precisions

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

ival-sub: 1.0ms (39.1% of total)

ival-mult: 1.0ms (39.1% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify29.0ms (0.5%)

Memory

-34.0MiB live, 49.3MiB 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	332
1	69	332
2	75	332
3	78	332
4	79	332

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1350000 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1350000 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 z #s(literal -3849561275618101/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 6298479312360475/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 y #s(literal -81999999999999997092072767409155311463028807340684301200050532617729492030653249396959997197290731057880291428877771978186787720681447280156164520060038304415828108770327045975696418482747631465543601821097276211643122513346560 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) (if (<=.f64 y #s(literal 950000000000000031199484364744679775037661938041631110736697754945809656553848595766801249846341042049752029545106313799716066102500917248 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1250554563763015/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1350000 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1350000 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 z #s(literal -3849561275618101/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 6298479312360475/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 y #s(literal -81999999999999997092072767409155311463028807340684301200050532617729492030653249396959997197290731057880291428877771978186787720681447280156164520060038304415828108770327045975696418482747631465543601821097276211643122513346560 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) (if (<=.f64 y #s(literal 950000000000000031199484364744679775037661938041631110736697754945809656553848595766801249846341042049752029545106313799716066102500917248 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1250554563763015/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

soundness1.2s (21.3%)

Memory

12.2MiB live, 417.5MiB allocated

Rules

9 930×	`lower-fma.f32`
9 926×	`lower-fma.f64`
7 608×	`lower-fma.f64`
7 608×	`lower-fma.f32`
6 596×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	26	86
1	103	86
2	685	78
0	8515	78
0	113	2246
1	390	1796
2	1120	1796
3	2690	1796
4	5358	1796
5	7503	1796
0	8023	1634
0	57	498
1	193	442
2	559	442
3	1395	442
4	3892	442
5	6259	442
0	8055	415

Stop Event

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

Compiler

Compiled 221 to 138 computations (37.6% saved)

preprocess49.0ms (0.9%)

Memory: 8.5MiB live, 88.3MiB allocated
Compiler: Compiled 330 to 128 computations (61.2% 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	556	22
9	625	22
10	627	22
0	627	21

Iter	Nodes	Cost
0	19	116
0	26	110
1	36	110
2	53	102
3	86	102
4	149	102
5	211	102
6	338	102
7	524	102
8	693	102
9	714	102
10	714	102
0	714	102

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	556	22
9	625	22
10	627	22
0	627	21

Iter	Nodes	Cost
0	19	116
0	26	110
1	36	110
2	53	102
3	86	102
4	149	102
5	211	102
6	338	102
7	524	102
8	693	102
9	714	102
10	714	102
0	714	102

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (23.8%)

explain128.0ms (2.3%)

preprocess93.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.4%)

localize21.0ms (0.4%)

series20.0ms (0.4%)

simplify133.0ms (2.4%)

rewrite663.0ms (11.8%)

eval56.0ms (1%)

prune10.0ms (0.2%)

simplify34.0ms (0.6%)

localize41.0ms (0.7%)

series18.0ms (0.3%)

simplify147.0ms (2.6%)

rewrite206.0ms (3.7%)

eval156.0ms (2.8%)

prune210.0ms (3.7%)

simplify46.0ms (0.8%)

localize43.0ms (0.8%)

series15.0ms (0.3%)

simplify126.0ms (2.2%)

rewrite197.0ms (3.5%)

eval275.0ms (4.9%)

prune18.0ms (0.3%)

regimes17.0ms (0.3%)

regimes13.0ms (0.2%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch187.0ms (3.3%)

bsearch2.0ms (0%)

bsearch29.0ms (0.5%)

bsearch45.0ms (0.8%)

bsearch11.0ms (0.2%)

simplify29.0ms (0.5%)

soundness1.2s (21.3%)

preprocess49.0ms (0.9%)

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	556	22
9	625	22
10	627	22
0	627	21

Iter	Nodes	Cost
0	19	116
0	26	110
1	36	110
2	53	102
3	86	102
4	149	102
5	211	102
6	338	102
7	524	102
8	693	102
9	714	102
10	714	102
0	714	102