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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB 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)

sample1.4s (22.3%)

Memory

-41.8MiB live, 1 172.7MiB allocated

Samples

887.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 517.0ms

ival-add: 238.0ms (46.1% of total)

ival-mult: 174.0ms (33.7% of total)

ival-sub: 91.0ms (17.6% of total)

ival-true: 5.0ms (1% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain133.0ms (2.1%)

Memory

5.1MiB live, 164.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	45
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	22

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sub: 23.0ms (70.8% of total)

ival-mult: 7.0ms (21.5% of total)

ival-add: 2.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess93.0ms (1.4%)

Memory

22.9MiB live, 97.8MiB 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 x (-.f64 y z) z)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify27.0ms (0.4%)

Memory

-2.7MiB live, 34.4MiB 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 x (-.f64 y z) z)
(*.f64 x y)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 z (*.f64 x z))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z

localize33.0ms (0.5%)

Memory

-0.2MiB live, 48.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	1.054685435830206	(+.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 (63.9% 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)

series11.0ms (0.2%)

Memory

-19.5MiB live, 18.9MiB 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 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 (* -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 (* -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 (* 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 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 (.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 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 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 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 (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 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 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 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 #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 (* 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 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 (* 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 #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 #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 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 (* -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) (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

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(+ (* x y) (* (- 1 x) z))
1.0ms	x	@	inf	(+ (* x y) (* (- 1 x) z))
1.0ms	y	@	0	(+ (* x y) (* (- 1 x) z))
1.0ms	x	@	-inf	(* x y)
0.0ms	x	@	0	(+ (* x y) (* (- 1 x) z))

simplify188.0ms (2.9%)

Memory

7.4MiB live, 286.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
2 438×	`lower-*.f64`
2 438×	`lower-*.f32`
1 490×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	471
1	192	442
2	558	442
3	1390	442
4	3891	442
5	6310	442
0	8026	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

Outputs
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* x (+ (* -1 z) (/ z x)))
(-.f64 z (*.f64 z x))
(* x (+ (* -1 z) (/ z x)))
(-.f64 z (*.f64 z x))
(* x (+ (* -1 z) (/ z x)))
(-.f64 z (*.f64 z x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(-.f64 z (*.f64 z x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(-.f64 z (*.f64 z x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
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)
(* -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)
(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)

rewrite617.0ms (9.5%)

Memory

16.7MiB live, 601.1MiB 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
(+.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))
(+.f64 z (fma.f64 z (neg.f64 x) (*.f64 x y)))
(+.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))))))
(+.f64 (fma.f64 x y z) (*.f64 z (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (.f64 #s(literal 1 binary64) y) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (exp.f64 (log.f64 y)) (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 y x (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (fma.f64 z (neg.f64 x) (*.f64 x y)))
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (neg.f64 x) (*.f64 x y)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) z) (*.f64 x y))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 x y))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) z) (*.f64 x y))
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(fma.f64 (+.f64 x #s(literal 1 binary64)) z (*.f64 x y))
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(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))

eval71.0ms (1.1%)

Memory: 0.5MiB live, 128.0MiB allocated
Compiler: Compiled 11 295 to 1 111 computations (90.2% saved)

prune85.0ms (1.3%)

Memory

-8.1MiB live, 153.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	407	4	411
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	4	412

Accuracy

100.0%

Counts

412 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
▶	53.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (-.f64 z (*.f64 z x)))
▶	68.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
▶	49.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Compiler

Compiled 35 to 19 computations (45.7% saved)

simplify30.0ms (0.5%)

Memory

5.3MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	97
0	24	100
1	40	100
2	59	85
3	90	85
4	166	85
5	277	85
6	429	85
7	574	85
8	663	85
9	665	85
0	665	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.8%)

Memory

-14.9MiB live, 79.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x (-.f64 y z) z)
accuracy	0	(-.f64 y z)
accuracy	0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
accuracy	0	(*.f64 z x)
accuracy	0.00390625	(-.f64 z (*.f64 z x))
accuracy	29.827402102668362	#s(approx (+ (* x y) (* (- 1 x) z)) (-.f64 z (*.f64 z x)))
accuracy	0	(-.f64 y z)
accuracy	0.0078125	(*.f64 x (-.f64 y z))
accuracy	19.903913615472927	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
accuracy	0	(*.f64 x y)
accuracy	32.07871197265314	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Samples

28.0ms

256×

valid

Compiler

Compiled 77 to 15 computations (80.5% saved)

Precisions

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

ival-mult: 8.0ms (47.1% of total)

ival-sub: 6.0ms (35.3% of total)

ival-add: 2.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series68.0ms (1.1%)

Memory

-3.7MiB live, 33.6MiB allocated

Counts

10 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
55.0ms	x	@	inf	(- z (* z x))
0.0ms	x	@	0	(* x (- y z))
0.0ms	y	@	-inf	(* x (- y z))
0.0ms	x	@	inf	(* x (- y z))
0.0ms	y	@	inf	(* x (- y z))

simplify305.0ms (4.7%)

Memory

8.5MiB live, 170.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 234×	`lower-fma.f64`
6 234×	`lower-fma.f32`
2 200×	`lower-*.f64`
2 200×	`lower-*.f32`
1 400×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1612
1	376	1612
2	1058	1612
3	2821	1612
4	5442	1612
5	7107	1612
6	7918	1612
0	8053	1477

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 303

Calls

Call 1

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

Outputs
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y 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)
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)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y 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)
(* -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
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
z
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* x (- (/ z x) z))
(-.f64 z (*.f64 z x))
(* x (- (/ z x) z))
(-.f64 z (*.f64 z x))
(* x (- (/ z x) z))
(-.f64 z (*.f64 z x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(-.f64 z (*.f64 z x))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(-.f64 z (*.f64 z x))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(-.f64 z (*.f64 z x))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
z
(+ z (* x (- y z)))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (- y z)))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (- y z)))
(fma.f64 x (-.f64 y z) z)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- (+ y (/ z x)) z))
(fma.f64 x (-.f64 y z) z)
(* x (- (+ y (/ z x)) z))
(fma.f64 x (-.f64 y z) z)
(* x (- (+ y (/ z x)) z))
(fma.f64 x (-.f64 y z) z)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(fma.f64 x (-.f64 y z) z)
(+ z (* -1 (* x z)))
(-.f64 z (*.f64 z x))
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) z)
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) z)
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 x (-.f64 y z) z)
(* z (+ 1 (* -1 x)))
(-.f64 z (*.f64 z x))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(fma.f64 x (-.f64 y z) z)
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(fma.f64 x (-.f64 y z) z)
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (- x 1)))
(-.f64 z (*.f64 z x))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(fma.f64 x (-.f64 y z) z)

rewrite683.0ms (10.6%)

Memory

-14.8MiB live, 612.4MiB allocated

Rules

9 008×	`lower-fma.f32`
9 006×	`lower-fma.f64`
6 084×	`lower-*.f32`
6 078×	`lower-*.f64`
3 808×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	24	87
1	97	87
2	717	72
0	8530	72

Stop Event

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

Counts

10 → 418

Calls

Call 1

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

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))
(*.f64 x y)
(.f64 x (.f64 #s(literal 1 binary64) y))
(*.f64 y x)
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal 1 binary64)) x)
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
(+.f64 (.f64 x (neg.f64 z)) (.f64 x y))
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(-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x z))
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(/.f64 (.f64 (.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))) (fma.f64 x (-.f64 y z) z)) (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 z (.f64 x z)) (fma.f64 x (-.f64 y z) z))) (-.f64 (.f64 x y) (-.f64 z (.f64 x z))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (-.f64 z (.f64 x z))))) (fma.f64 x (.f64 (.f64 y (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z z))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z z)) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z z)))) (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x y) (-.f64 z (.f64 x z))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (-.f64 z (.f64 x z))))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 z z)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (-.f64 y z)) #s(literal 9 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z (-.f64 z (.f64 x (-.f64 y z))))))) (fma.f64 (.f64 x (-.f64 y z)) (.f64 (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))) (.f64 (.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 z z (.f64 (.f64 x (-.f64 y z)) (-.f64 (.f64 x (-.f64 y z)) z))) (fma.f64 x (-.f64 y z) z)) (fma.f64 (.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))) (neg.f64 (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z (-.f64 z (.f64 x (-.f64 y z))))))) (fma.f64 (.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))) (neg.f64 (.f64 z (.f64 z z)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 z z (.f64 (.f64 x (-.f64 y z)) (-.f64 (.f64 x (-.f64 y z)) z))) (fma.f64 x (-.f64 y z) z)) (fma.f64 (.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))) (neg.f64 (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 y z)) z))) (fma.f64 x (.f64 (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z))))) (.f64 (.f64 z z) (fma.f64 z z (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z))))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z z)) (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x (-.f64 y z)) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 y z)) z))) (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) z))
(.f64 (fma.f64 x (-.f64 y z) z) (.f64 (-.f64 (.f64 x y) (-.f64 z (.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (-.f64 z (.f64 x z))))))
(.f64 (fma.f64 x (-.f64 y z) z) (.f64 (-.f64 (.f64 x (-.f64 y z)) z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 y z)) z))))
(.f64 (.f64 (fma.f64 z z (.f64 (.f64 x (-.f64 y z)) (-.f64 (.f64 x (-.f64 y z)) z))) (fma.f64 x (-.f64 y z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z (-.f64 z (*.f64 x (-.f64 y z)))))))
(.f64 (.f64 (fma.f64 z z (.f64 (.f64 x (-.f64 y z)) (-.f64 (.f64 x (-.f64 y z)) z))) (fma.f64 x (-.f64 y z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (.f64 x (-.f64 y z)) (-.f64 (.f64 x (-.f64 y z)) z)))))
(.f64 (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z (-.f64 z (.f64 x (-.f64 y z))))) (.f64 (fma.f64 x (-.f64 y z) z) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z (-.f64 z (.f64 x (-.f64 y z))))))))
(.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))) (fma.f64 x (-.f64 y z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x))))))))
(.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))) (fma.f64 x (-.f64 y z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z z)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (-.f64 z (*.f64 x z)))))))
(.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))) (.f64 (fma.f64 x (-.f64 y z) z) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))))))
(.f64 (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x (-.f64 y z)) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 y z)) z)))
(.f64 (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x y) (-.f64 z (.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (-.f64 z (.f64 x z)))))
(.f64 (neg.f64 (.f64 (fma.f64 z z (.f64 (.f64 x (-.f64 y z)) (-.f64 (.f64 x (-.f64 y z)) z))) (fma.f64 x (-.f64 y z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z (-.f64 z (*.f64 x (-.f64 y z))))))))
(.f64 (neg.f64 (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x (-.f64 y z)) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x (-.f64 y z)) z))))
(.f64 (neg.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))) (fma.f64 x (-.f64 y z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))))))
(.f64 (.f64 (neg.f64 (fma.f64 x (-.f64 y z) z)) (-.f64 (.f64 x y) (-.f64 z (.f64 x z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x y) (-.f64 z (.f64 x z))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z (-.f64 z (.f64 x (-.f64 y z)))))) (.f64 (fma.f64 z z (.f64 (.f64 x (-.f64 y z)) (-.f64 (*.f64 x (-.f64 y z)) z))) (fma.f64 x (-.f64 y z) z)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 y z)) z)) (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x (-.f64 y z)) z)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x))))))) (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))) (fma.f64 x (-.f64 y z) z)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (-.f64 z (.f64 x z)))) (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x y) (-.f64 z (.f64 x z)))))
(.f64 (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 z (.f64 x (-.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 x (-.f64 y z)))))
(.f64 (.f64 (fma.f64 x (-.f64 y z) z) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))
(.f64 (/.f64 (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x (-.f64 y z)) z)) (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (*.f64 x (-.f64 y z)) z))) (fma.f64 x (-.f64 y z) z))
(.f64 (/.f64 (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x y) (-.f64 z (.f64 x z)))) (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x y) (-.f64 z (*.f64 x z))))) (fma.f64 x (-.f64 y z) z))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))) (fma.f64 x (-.f64 y z) z)) (fma.f64 (.f64 x y) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x))))) (.f64 (-.f64 z (.f64 x z)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))))))) (fma.f64 x (.f64 (.f64 y (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x))))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x))))) (.f64 x (.f64 y (.f64 x y)))))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))) (fma.f64 x (-.f64 y z) z)) (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y (neg.f64 x)))))))) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y (neg.f64 x)))))))
(.f64 (/.f64 (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x y) (-.f64 z (.f64 x z)))) (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 z (.f64 x z)) (fma.f64 x (-.f64 y z) z))) (-.f64 (.f64 x y) (-.f64 z (.f64 x z))))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (-.f64 z (*.f64 x z)) (fma.f64 x (-.f64 y z) z))))
(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 (.f64 x (-.f64 y z)) (-.f64 (.f64 x (-.f64 y z)) z))) (fma.f64 x (-.f64 y z) z)) (fma.f64 (.f64 (.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z))))) (.f64 (.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z))))) (.f64 (.f64 z (-.f64 z (.f64 x (-.f64 y z)))) (.f64 (.f64 z z) (.f64 (-.f64 z (.f64 x (-.f64 y z))) (-.f64 z (.f64 x (-.f64 y z)))))))) (fma.f64 (.f64 x (-.f64 y z)) (.f64 (.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z))))) (.f64 (.f64 z (-.f64 z (.f64 x (-.f64 y z)))) (-.f64 (.f64 z (-.f64 z (.f64 x (-.f64 y z)))) (.f64 (-.f64 y z) (.f64 x (*.f64 x (-.f64 y z))))))))
(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 (.f64 x (-.f64 y z)) (-.f64 (.f64 x (-.f64 y z)) z))) (fma.f64 x (-.f64 y z) z)) (.f64 (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z (-.f64 z (.f64 x (-.f64 y z))))) (fma.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x (-.f64 y z)) z) (.f64 x (.f64 (-.f64 y z) z))))) (fma.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x (-.f64 y z)) z) (.f64 x (.f64 (-.f64 y z) z))))
(.f64 (/.f64 (.f64 (fma.f64 x (-.f64 y z) z) (-.f64 (.f64 x (-.f64 y z)) z)) (fma.f64 (.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (.f64 x (.f64 x (-.f64 y z)))) (neg.f64 (.f64 z (.f64 z z))))) (fma.f64 x (.f64 (-.f64 y z) (.f64 x (-.f64 y z))) (.f64 z (fma.f64 x (-.f64 y z) z))))

eval102.0ms (1.6%)

Memory: 30.2MiB live, 338.1MiB allocated
Compiler: Compiled 17 926 to 1 130 computations (93.7% saved)

prune90.0ms (1.4%)

Memory

-5.4MiB live, 253.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	806	1	807
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	806	5	811

Accuracy

100.0%

Counts

811 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
✓	53.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (-.f64 z (*.f64 z x)))
✓	68.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
▶	23.8%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x #s(approx (- y z) (neg.f64 z))))
✓	49.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Compiler

Compiled 44 to 24 computations (45.5% saved)

simplify40.0ms (0.6%)

Memory

-9.4MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

656×	`lower-fma.f64`
656×	`lower-fma.f32`
288×	`lower-*.f32`
286×	`lower-*.f64`
168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
0	15	36
1	27	36
2	41	36
3	70	34
4	138	34
5	204	34
6	351	34
7	563	34
8	654	34
9	673	34
10	719	34
11	750	34
12	754	34
13	756	34
14	759	34
15	761	34
0	761	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize217.0ms (3.4%)

Memory

-1.5MiB live, 36.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(*.f64 x #s(approx (- y z) (neg.f64 z)))
accuracy	19.903913615472927	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x #s(approx (- y z) (neg.f64 z))))
accuracy	36.860542869057475	#s(approx (- y z) (neg.f64 z))

Samples

209.0ms

256×

valid

Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.9% of total)

ival-sub: 2.0ms (20.4% of total)

ival-add: 1.0ms (10.2% of total)

ival-neg: 1.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* x y) (* (- 1 x) z))
0.0ms	z	@	inf	(neg z)
0.0ms	z	@	-inf	(* x (- y z))
0.0ms	x	@	inf	(+ (* x y) (* (- 1 x) z))
0.0ms	z	@	-inf	(neg z)

simplify159.0ms (2.5%)

Memory

20.9MiB live, 173.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 516×	`lower-fma.f64`
6 516×	`lower-fma.f32`
2 520×	`lower-*.f64`
2 520×	`lower-*.f32`
1 342×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	482
1	258	482
2	739	482
3	2122	482
4	4187	482
5	5981	482
6	6996	482
0	8155	455

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 104

Calls

Call 1

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

Outputs
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y 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)
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)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y 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)
(* -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)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)

rewrite264.0ms (4.1%)

Memory

-14.9MiB live, 340.6MiB allocated

Rules

4 962×	`lower-fma.f64`
4 962×	`lower-fma.f32`
3 888×	`lower-*.f32`
3 886×	`lower-*.f64`
1 852×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
0	15	34
1	64	34
2	451	34
3	5414	30
0	8853	28

Stop Event

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

Counts

4 → 36

Calls

Call 1

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

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x #s(approx (- y z) z)))
(*.f64 x #s(approx (- y z) z))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (- y z) z)))
(.f64 #s(literal 1 binary64) (.f64 x #s(approx (- y z) z)))
(*.f64 #s(approx (- y z) z) x)
(.f64 (.f64 x #s(approx (- y z) z)) #s(literal 1 binary64))
(.f64 (.f64 #s(approx (- y z) z) #s(literal 1 binary64)) x)
#s(approx (- y z) z)
z
(+.f64 z #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(fma.f64 #s(literal 1 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(neg.f64 z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))
(/.f64 (.f64 z (.f64 z z)) (*.f64 z z))
(/.f64 (.f64 z (.f64 z z)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (*.f64 z z) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(pow.f64 (/.f64 z (*.f64 z z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) z)

eval16.0ms (0.2%)

Memory: -6.4MiB live, 39.9MiB allocated
Compiler: Compiled 1 014 to 83 computations (91.8% saved)

prune10.0ms (0.2%)

Memory

-16.1MiB live, 22.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	139	6	145

Accuracy

100.0%

Counts

145 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
✓	53.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (-.f64 z (*.f64 z x)))
▶	3.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) z) x))
✓	68.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
✓	23.8%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x #s(approx (- y z) (neg.f64 z))))
✓	49.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Compiler

Compiled 52 to 28 computations (46.2% saved)

simplify44.0ms (0.7%)

Memory

24.4MiB live, 61.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

656×	`lower-fma.f64`
656×	`lower-fma.f32`
288×	`lower-*.f32`
286×	`lower-*.f64`
168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
0	13	31
1	23	31
2	36	31
3	65	29
4	126	29
5	199	29
6	332	29
7	531	29
8	703	29
9	734	29
10	780	29
11	811	29
12	813	29
13	815	29
14	818	29
15	820	29
0	820	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.4%)

Memory

6.1MiB live, 44.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 #s(approx (- y z) z) x)
accuracy	19.903913615472927	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) z) x))
accuracy	62.57480371162921	#s(approx (- y z) z)

Samples

19.0ms

256×

valid

Compiler

Compiled 21 to 12 computations (42.9% saved)

Precisions

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

ival-mult: 8.0ms (67.2% of total)

ival-sub: 3.0ms (25.2% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs

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

#s(alt (*.f64 #s(approx (- y z) z) x) (patch (*.f64 #s(approx (- y z) z) x) #<representation binary64>) () ())

#s(alt #s(approx (- y z) z) (patch #s(approx (- y z) z) #<representation binary64>) () ())

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

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* (- y z) x)
0.0ms	y	@	inf	(* (- y z) x)
0.0ms	x	@	0	(+ (* x y) (* (- 1 x) z))
0.0ms	x	@	inf	(* (- y z) x)
0.0ms	x	@	-inf	(* (- y z) x)

simplify175.0ms (2.7%)

Memory

-27.4MiB live, 211.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 488×	`lower-fma.f64`
6 488×	`lower-fma.f32`
2 664×	`lower-*.f64`
2 664×	`lower-*.f32`
1 364×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	458
1	258	458
2	739	458
3	2109	458
4	4151	458
5	5934	458
6	6947	458
0	8199	431

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

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

Outputs
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 x (-.f64 y z) z)
(* z (- 1 x))
(-.f64 z (*.f64 z x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 x (-.f64 y z) z)
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y 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)
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)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y 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)
(* -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)

rewrite243.0ms (3.8%)

Memory

26.7MiB live, 311.5MiB allocated

Rules

6 318×	`lower-fma.f64`
6 318×	`lower-fma.f32`
4 976×	`lower-*.f32`
4 974×	`lower-*.f64`
1 946×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	13	29
1	60	29
2	436	29
3	5162	29
0	9119	28

Stop Event

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

Counts

3 → 8

Calls

Call 1

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

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

eval11.0ms (0.2%)

Memory: -15.9MiB live, 21.1MiB allocated
Compiler: Compiled 669 to 22 computations (96.7% saved)

prune6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	100	6	106

Accuracy

100.0%

Counts

106 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
✓	53.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (-.f64 z (*.f64 z x)))
✓	3.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) z) x))
✓	68.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
✓	23.8%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x #s(approx (- y z) (neg.f64 z))))
✓	49.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Compiler

Compiled 98 to 43 computations (56.1% saved)

regimes15.0ms (0.2%)

Memory

-12.0MiB live, 25.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	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 24 to 17 computations (29.2% saved)

regimes15.0ms (0.2%)

Memory

-2.8MiB live, 31.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
84.0%	3	`x`
80.2%	3	`y`
83.1%	3	`z`
74.4%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.2%)

Memory

-28.6MiB live, 17.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
49.9%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
60.1%	3	`y`
56.8%	3	`z`
49.9%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Accuracy

Total -30.0b remaining (-93.5%)

Threshold costs -30b (-93.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.9%	1	`x`
49.9%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
49.9%	1	`z`
49.9%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch26.0ms (0.4%)

Memory

5.7MiB live, 43.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1668298731933163e-102	1.367067484763876e-97
10.0ms	-6.578272768766001e-87	-7.070968085841666e-90

Samples

15.0ms

272×

valid

Compiler

Compiled 355 to 218 computations (38.6% saved)

Precisions

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

ival-add: 4.0ms (45.7% of total)

ival-mult: 3.0ms (34.3% of total)

ival-sub: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.3%)

Memory

-8.9MiB live, 29.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.842015889367691e-75	2.1728024236715546e-75
13.0ms	-6.551305609964589e-89	-9.624071565339075e-92

Samples

8.0ms

176×

valid

Compiler

Compiled 213 to 135 computations (36.6% saved)

Precisions

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

ival-mult: 2.0ms (46% of total)

ival-sub: 1.0ms (23% of total)

ival-add: 1.0ms (23% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	149
1	50	149
2	61	149
3	66	149
4	69	149
5	70	149

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
(if (<=.f64 x #s(literal -1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (-.f64 z (.f64 z x))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
(if (<=.f64 y #s(literal -3302638007025703/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x y)) (if (<=.f64 y #s(literal 7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 x #s(approx (- y z) (neg.f64 z)))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x y))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
(if (<=.f64 x #s(literal -1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (-.f64 z (.f64 z x))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
(if (<=.f64 x #s(literal -1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (-.f64 z (.f64 x z))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
(if (<=.f64 y #s(literal -3302638007025703/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x y)) (if (<=.f64 y #s(literal 7740736710071047/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 x #s(approx (- y z) (neg.f64 z)))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x y))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

soundness1.1s (16.6%)

Memory

-25.1MiB live, 260.5MiB allocated

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
6 234×	`lower-fma.f64`
6 234×	`lower-fma.f32`
2 438×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1612
1	376	1612
2	1058	1612
3	2821	1612
4	5442	1612
5	7107	1612
6	7918	1612
0	8053	1477
0	57	471
1	192	442
2	558	442
3	1390	442
4	3891	442
5	6310	442
0	8026	415

Stop Event

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

Compiler

Compiled 124 to 59 computations (52.4% saved)

preprocess35.0ms (0.5%)

Memory: 1.0MiB live, 76.5MiB allocated
Compiler: Compiled 160 to 62 computations (61.3% 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	18	97
0	24	100
1	40	100
2	59	85
3	90	85
4	166	85
5	277	85
6	429	85
7	574	85
8	663	85
9	665	85
0	665	85

Iter	Nodes	Cost
0	13	36
0	15	36
1	27	36
2	41	36
3	70	34
4	138	34
5	204	34
6	351	34
7	563	34
8	654	34
9	673	34
10	719	34
11	750	34
12	754	34
13	756	34
14	759	34
15	761	34
0	761	33

Iter	Nodes	Cost
0	12	31
0	13	31
1	23	31
2	36	31
3	65	29
4	126	29
5	199	29
6	332	29
7	531	29
8	703	29
9	734	29
10	780	29
11	811	29
12	813	29
13	815	29
14	818	29
15	820	29
0	820	28

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	18	97
0	24	100
1	40	100
2	59	85
3	90	85
4	166	85
5	277	85
6	429	85
7	574	85
8	663	85
9	665	85
0	665	85

Iter	Nodes	Cost
0	13	36
0	15	36
1	27	36
2	41	36
3	70	34
4	138	34
5	204	34
6	351	34
7	563	34
8	654	34
9	673	34
10	719	34
11	750	34
12	754	34
13	756	34
14	759	34
15	761	34
0	761	33

Iter	Nodes	Cost
0	12	31
0	13	31
1	23	31
2	36	31
3	65	29
4	126	29
5	199	29
6	332	29
7	531	29
8	703	29
9	734	29
10	780	29
11	811	29
12	813	29
13	815	29
14	818	29
15	820	29
0	820	28

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (22.3%)

explain133.0ms (2.1%)

preprocess93.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.4%)

localize33.0ms (0.5%)

series11.0ms (0.2%)

simplify188.0ms (2.9%)

rewrite617.0ms (9.5%)

eval71.0ms (1.1%)

prune85.0ms (1.3%)

simplify30.0ms (0.5%)

localize51.0ms (0.8%)

series68.0ms (1.1%)

simplify305.0ms (4.7%)

rewrite683.0ms (10.6%)

eval102.0ms (1.6%)

prune90.0ms (1.4%)

simplify40.0ms (0.6%)

localize217.0ms (3.4%)

series3.0ms (0%)

simplify159.0ms (2.5%)

rewrite264.0ms (4.1%)

eval16.0ms (0.2%)

prune10.0ms (0.2%)

simplify44.0ms (0.7%)

localize26.0ms (0.4%)

series3.0ms (0%)

simplify175.0ms (2.7%)

rewrite243.0ms (3.8%)

eval11.0ms (0.2%)

prune6.0ms (0.1%)

regimes15.0ms (0.2%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch26.0ms (0.4%)

bsearch19.0ms (0.3%)

simplify8.0ms (0.1%)

soundness1.1s (16.6%)

preprocess35.0ms (0.5%)

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	18	97
0	24	100
1	40	100
2	59	85
3	90	85
4	166	85
5	277	85
6	429	85
7	574	85
8	663	85
9	665	85
0	665	85

Iter	Nodes	Cost
0	13	36
0	15	36
1	27	36
2	41	36
3	70	34
4	138	34
5	204	34
6	351	34
7	563	34
8	654	34
9	673	34
10	719	34
11	750	34
12	754	34
13	756	34
14	759	34
15	761	34
0	761	33

Iter	Nodes	Cost
0	12	31
0	13	31
1	23	31
2	36	31
3	65	29
4	126	29
5	199	29
6	332	29
7	531	29
8	703	29
9	734	29
10	780	29
11	811	29
12	813	29
13	815	29
14	818	29
15	820	29
0	820	28