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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample676.0ms (13.2%)

Memory

-10.5MiB live, 1 380.3MiB allocated

Samples

426.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 134.0ms (58.8% of total)

ival-sub: 43.0ms (18.9% of total)

ival-add: 36.0ms (15.8% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain487.0ms (9.5%)

Memory

-4.7MiB live, 169.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	30
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	32

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

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 (54.1% of total)

ival-sub: 3.0ms (23.2% of total)

ival-add: 2.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess271.0ms (5.3%)

Memory

-15.6MiB live, 64.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify26.0ms (0.5%)

Memory

-7.1MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.4%)

Memory

32.0MiB live, 31.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	0	(*.f64 x y)
accuracy	0.9101521216604117	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

14.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 4.0ms (64% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-20.6MiB live, 18.5MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify124.0ms (2.4%)

Memory

22.2MiB live, 139.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite296.0ms (5.8%)

Memory

-14.1MiB live, 335.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 317

Calls

Call 1

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

Outputs
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eval51.0ms (1%)

Memory: 8.2MiB live, 132.7MiB allocated
Compiler: Compiled 9 093 to 1 128 computations (87.6% saved)

prune9.0ms (0.2%)

Memory

-4.3MiB live, 34.2MiB 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
▶	98.8%	(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
▶	63.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
▶	65.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	38.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 62 to 62 computations (0% saved)

simplify26.0ms (0.5%)

Memory

8.7MiB live, 46.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize131.0ms (2.6%)

Memory

2.0MiB live, 86.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	0.7499917428166807	(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
accuracy	0	(-.f64 y z)
accuracy	0.01171875	(*.f64 (-.f64 y z) x)
accuracy	23.58149585887877	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	22.257179120316138	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
accuracy	0	(*.f64 y x)
accuracy	39.46685203965325	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
accuracy	0	(-.f64 y z)
accuracy	0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
accuracy	0.0078125	(fma.f64 (-.f64 y z) x z)

Samples

122.0ms

256×

valid

Compiler

Compiled 99 to 15 computations (84.8% saved)

Precisions

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

ival-mult: 7.0ms (55% of total)

ival-add: 3.0ms (23.6% of total)

ival-sub: 2.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

0.1MiB live, 38.6MiB allocated

Counts

11 → 336

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))
2.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))
1.0ms	y	@	-inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))
1.0ms	z	@	-inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))
1.0ms	z	@	inf	((+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (- y z) (+ (* x y) (* (- 1 x) z)) (* y x) (+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (+ (* y x) (* (- 1 x) z)))

simplify117.0ms (2.3%)

Memory

-20.1MiB live, 135.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 326

Calls

Call 1

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

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

rewrite448.0ms (8.8%)

Memory

11.1MiB live, 307.0MiB allocated

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

11 → 555

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval283.0ms (5.5%)

Memory: 18.5MiB live, 326.8MiB allocated
Compiler: Compiled 21 195 to 1 740 computations (91.8% saved)

prune148.0ms (2.9%)

Memory

-35.8MiB live, 95.9MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 109	3	1 112
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 110	7	1 117

Accuracy

100.0%

Counts

1 117 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.0%	(fma.f64 y x (*.f64 #s(approx (- 1 x) (neg.f64 x)) z))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	63.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	65.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	28.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
▶	39.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
✓	38.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 42 to 45 computations (-7.1% saved)

simplify48.0ms (0.9%)

Memory

11.1MiB live, 50.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	27	97
1	44	97
2	59	97
3	94	93
4	188	93
5	259	93
6	438	93
7	659	93
8	757	93
9	804	93
10	986	93
11	1057	93
12	1065	93
13	1071	93
14	1081	93
15	1085	93
0	1085	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (1.3%)

Memory

-7.1MiB live, 68.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(approx (- 1 x) (neg.f64 x)) z)
accuracy	0	(neg.f64 x)
accuracy	0.7499917428166807	(fma.f64 y x (*.f64 #s(approx (- 1 x) (neg.f64 x)) z))
accuracy	30.44126525258236	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(neg.f64 z)
accuracy	0.01171875	(*.f64 #s(approx (- y z) (neg.f64 z)) x)
accuracy	23.58149585887877	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
accuracy	28.339275066472027	#s(approx (- y z) (neg.f64 z))
accuracy	0	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
accuracy	22.257179120316138	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
accuracy	32.38003172148969	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

24.0ms

256×

valid

Compiler

Compiled 64 to 16 computations (75% saved)

Precisions

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

ival-mult: 6.0ms (44.6% of total)

ival-sub: 2.0ms (14.9% of total)

ival-add: 2.0ms (14.9% of total)

ival-neg: 2.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-8.4MiB live, 30.8MiB allocated

Counts

11 → 264

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))
1.0ms	z	@	inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))
1.0ms	z	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))
1.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))
0.0ms	y	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* y x) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (neg x))

simplify164.0ms (3.2%)

Memory

33.8MiB live, 223.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 732×	`lower-fma.f64`
7 732×	`lower-fma.f32`
2 392×	`lower-*.f64`
2 392×	`lower-*.f32`
1 484×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1516
1	291	1246
2	835	1246
3	2164	1246
4	4297	1246
5	6329	1246
6	7360	1246
7	7907	1246
0	8051	1165

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 256

Calls

Call 1

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

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

rewrite368.0ms (7.2%)

Memory

9.1MiB live, 244.5MiB allocated

Rules

8 600×	`lower-fma.f32`
8 598×	`lower-fma.f64`
4 830×	`lower-*.f32`
4 824×	`lower-*.f64`
2 866×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
0	27	90
1	98	90
2	613	90
3	7198	90
0	8050	88

Stop Event

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

Counts

11 → 138

Calls

Call 1

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

Outputs
#<batchref>
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eval77.0ms (1.5%)

Memory: -12.7MiB live, 120.2MiB allocated
Compiler: Compiled 5 086 to 502 computations (90.1% saved)

prune13.0ms (0.2%)

Memory

3.0MiB live, 39.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	394	0	394
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	394	7	401

Accuracy

100.0%

Counts

401 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.0%	(fma.f64 y x (*.f64 #s(approx (- 1 x) (neg.f64 x)) z))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	63.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	65.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
✓	28.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
✓	39.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
✓	38.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 101 to 73 computations (27.7% saved)

regimes18.0ms (0.3%)

Memory

-21.6MiB live, 25.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	z
3.0ms	y
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
3.0ms	x

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.7%	3	`x`
81.8%	3	`y`
81.9%	3	`z`
75.5%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.2%)

Memory

-21.1MiB live, 18.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
80.4%	3	`y`
76.9%	3	`z`
67.7%	2	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes8.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
68.9%	4	`x`
53.1%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
57.0%	4	`z`
58.2%	3	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
64.8%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

-22.4MiB live, 16.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
1.0ms	x
1.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
1.0ms	z

Results

Accuracy	Segments	Branch
38.3%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
38.3%	1	`z`
38.3%	1	`y`
38.3%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch17.0ms (0.3%)

Memory

-4.6MiB live, 33.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5030962059795.453	90125509569661.8
4.0ms	-3.832107951222511e-46	-3.185809024433563e-46

Samples

9.0ms

160×

valid

Compiler

Compiled 132 to 164 computations (-24.2% saved)

Precisions

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

ival-mult: 2.0ms (52.8% of total)

ival-sub: 1.0ms (26.4% of total)

ival-add: 1.0ms (26.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.4%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	7.39569891487526e+21	7.469222516060913e+22
12.0ms	-6.6132919565237946e+109	-3.414278528251673e+104

Samples

11.0ms

240×

valid

Compiler

Compiled 162 to 224 computations (-38.3% saved)

Precisions

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

ival-mult: 3.0ms (53.1% of total)

ival-sub: 1.0ms (17.7% of total)

ival-add: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch48.0ms (0.9%)

Memory

-8.1MiB live, 33.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.9936361144978343e-13	5030962059795.453
0.0ms	-3.832107951222511e-46	-3.185809024433563e-46
30.0ms	-1.3874210683495633e+124	-3.6603533554957163e+115

Samples

15.0ms

320×

valid

Compiler

Compiled 228 to 336 computations (-47.4% saved)

Precisions

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

ival-mult: 4.0ms (53% of total)

ival-sub: 1.0ms (13.3% of total)

ival-add: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9936361144978343e-13	5030962059795.453
0.0ms	-3.832107951222511e-46	-3.185809024433563e-46

Compiler

Compiled 138 to 210 computations (-52.2% saved)

simplify31.0ms (0.6%)

Memory

-14.2MiB live, 61.8MiB 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	47	255
1	61	255
2	67	255
3	70	255
4	71	255

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -1156995391866473/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 5100000000000 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (<=.f64 y #s(literal -3200000000000000006130160274350939955891056407248614435688971246718013837452764019075955664346177035304960 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 y #s(literal 73999999999999995805696 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
(if (<=.f64 x #s(literal -2250000000000000008761677593904253712133426417660931840843950635250826770511453055426781136916345678589306007675994112 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -2442545827273665/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 7253554917687775/19342813113834066795298816 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)))))
(if (<=.f64 x #s(literal -2442545827273665/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 7253554917687775/19342813113834066795298816 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -1156995391866473/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 5100000000000 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (<=.f64 y #s(literal -3200000000000000006130160274350939955891056407248614435688971246718013837452764019075955664346177035304960 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 y #s(literal 73999999999999995805696 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
(if (<=.f64 x #s(literal -2250000000000000008761677593904253712133426417660931840843950635250826770511453055426781136916345678589306007675994112 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -2442545827273665/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 7253554917687775/19342813113834066795298816 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)))))
(if (<=.f64 x #s(literal -2442545827273665/6427752177035961102167848369364650410088811975131171341205504 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 7253554917687775/19342813113834066795298816 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

soundness999.0ms (19.5%)

Memory

12.1MiB live, 366.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 161 to 110 computations (31.7% saved)

preprocess48.0ms (0.9%)

Memory: 18.1MiB live, 129.6MiB allocated
Compiler: Compiled 240 to 100 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample676.0ms (13.2%)

explain487.0ms (9.5%)

preprocess271.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.5%)

localize19.0ms (0.4%)

series12.0ms (0.2%)

simplify124.0ms (2.4%)

rewrite296.0ms (5.8%)

eval51.0ms (1%)

prune9.0ms (0.2%)

simplify26.0ms (0.5%)

localize131.0ms (2.6%)

series19.0ms (0.4%)

simplify117.0ms (2.3%)

rewrite448.0ms (8.8%)

eval283.0ms (5.5%)

prune148.0ms (2.9%)

simplify48.0ms (0.9%)

localize67.0ms (1.3%)

series16.0ms (0.3%)

simplify164.0ms (3.2%)

rewrite368.0ms (7.2%)

eval77.0ms (1.5%)

prune13.0ms (0.2%)

regimes18.0ms (0.3%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch17.0ms (0.3%)

bsearch23.0ms (0.4%)

bsearch48.0ms (0.9%)

bsearch2.0ms (0%)

simplify31.0ms (0.6%)

soundness999.0ms (19.5%)

preprocess48.0ms (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	557	22
9	624	22
10	626	22
0	626	21

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