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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (25.5%)

Memory

-11.9MiB live, 860.9MiB allocated

Samples

772.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

ival-mult: 268.0ms (74.6% of total)

ival-sub: 42.0ms (11.7% of total)

ival-add: 35.0ms (9.7% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

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

Bogosity

explain98.0ms (2%)

Memory

14.8MiB live, 174.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z (-.f64 #s(literal 1 binary64) y))`	overflow	43

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-sub: 24.0ms (69.8% of total)

ival-mult: 7.0ms (20.4% of total)

ival-add: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess149.0ms (3%)

Memory

-18.4MiB live, 58.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	188	81
3	533	68
4	1121	64
5	1898	63
6	2275	63
7	2311	63
8	2315	63
9	2315	63
0	8	9
0	12	9
1	19	9
2	29	9
3	52	9
4	107	8
5	155	7
6	246	7
7	396	7
8	556	7
9	625	7
10	627	7
0	627	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify109.0ms (2.2%)

Memory

4.9MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	556	22
9	625	22
10	627	22
0	627	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

6.9MiB live, 51.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 z (-.f64 #s(literal 1 binary64) y))
accuracy	0	(*.f64 x y)
accuracy	1.3632750574906174	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Samples

22.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 7.0ms (68.3% of total)

ival-sub: 1.0ms (9.8% of total)

ival-add: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-15.0MiB live, 23.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify147.0ms (3%)

Memory

5.5MiB live, 162.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite275.0ms (5.5%)

Memory

5.2MiB live, 356.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	44	20
2	314	20
3	3850	20
0	11254	19

Stop Event

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

Counts

4 → 317

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 y y y) z) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (.f64 (neg.f64 y) x)) (.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (.f64 (neg.f64 y) x)) (.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (fma.f64 y y y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) z (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (.f64 (neg.f64 y) x)) (.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (.f64 y y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) (.f64 y y))) (.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval203.0ms (4.1%)

Memory: -1.6MiB live, 83.2MiB allocated
Compiler: Compiled 9 093 to 1 129 computations (87.6% saved)

prune7.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB 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) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
▶	69.7%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
▶	62.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
▶	40.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify35.0ms (0.7%)

Memory

-9.8MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

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	98
0	24	98
1	35	98
2	52	86
3	85	86
4	148	86
5	210	86
6	338	86
7	525	86
8	690	86
9	711	86
10	711	86
0	711	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (1%)

Memory

13.2MiB live, 49.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (-.f64 x z) y z)
accuracy	0	(-.f64 x z)
accuracy	0	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
accuracy	0	(-.f64 x z)
accuracy	0.00390625	(*.f64 (-.f64 x z) y)
accuracy	19.378391353758133	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	23.806233141659987	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy	0	(*.f64 y x)
accuracy	38.23831605358872	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Samples

44.0ms

256×

valid

Compiler

Compiled 78 to 15 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 28.0ms (84.8% of total)

ival-sub: 2.0ms (6.1% of total)

ival-add: 2.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.5%)

Memory

-1.2MiB live, 35.5MiB allocated

Counts

10 → 300

Calls

Call 1

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

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

Calls

9 calls:

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

simplify150.0ms (3%)

Memory

-18.6MiB live, 153.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 394×	`lower-fma.f64`
6 394×	`lower-fma.f32`
2 692×	`lower-*.f64`
2 692×	`lower-*.f32`
1 478×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1962
1	390	1572
2	1120	1572
3	2704	1572
4	5394	1572
5	7547	1572
0	8047	1437

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 291

Calls

Call 1

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

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

rewrite185.0ms (3.7%)

Memory

0.2MiB live, 268.1MiB allocated

Rules

7 622×	`lower-fma.f32`
7 620×	`lower-fma.f64`
4 948×	`lower-*.f32`
4 942×	`lower-*.f64`
2 996×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	24	84
1	82	84
2	579	72
3	7483	72
0	8013	72

Stop Event

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

Counts

10 → 393

Calls

Call 1

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

Outputs
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))
(.f64 (.f64 x #s(literal 1 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 y (.f64 #s(literal 1 binary64) x))
(*.f64 y x)
(*.f64 x y)
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
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(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) z (*.f64 x x))) z)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 z x) z (.f64 x x)) #s(literal -1 binary64)) y) z)
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))))
(fma.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 x z) y (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (.f64 z (/.f64 z (fma.f64 (-.f64 x z) y (neg.f64 z))))))
(fma.f64 (.f64 (-.f64 x z) y) (/.f64 (.f64 (-.f64 x z) y) (fma.f64 (-.f64 x z) y (neg.f64 z))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (-.f64 x z) y (neg.f64 z))))))
(fma.f64 (*.f64 (-.f64 x z) y) #s(literal 1 binary64) z)
(fma.f64 (-.f64 x z) (/.f64 (.f64 (.f64 (-.f64 x z) y) y) (fma.f64 (-.f64 x z) y (neg.f64 z))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 (-.f64 x z) y (neg.f64 z))))))
(fma.f64 (-.f64 x z) y z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 (-.f64 x z) y))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(fma.f64 z #s(literal 1 binary64) (*.f64 (-.f64 x z) y))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 y (/.f64 (.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (fma.f64 (-.f64 x z) y (neg.f64 z))) (neg.f64 (.f64 z (/.f64 z (fma.f64 (-.f64 x z) y (neg.f64 z))))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))))
(fma.f64 y (.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 y (-.f64 x z) z)
(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z (.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z (.f64 (neg.f64 y) x))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (-.f64 x z) y))) (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (-.f64 z (.f64 (-.f64 x z) y))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (-.f64 x z) y (neg.f64 z))) (.f64 z (/.f64 z (fma.f64 (-.f64 x z) y (neg.f64 z)))))
(+.f64 (+.f64 z (.f64 y x)) (.f64 (neg.f64 y) z))
(+.f64 (fma.f64 y x z) (*.f64 (neg.f64 y) z))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) (.f64 y x)))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (-.f64 x z) y (neg.f64 z))) (neg.f64 (.f64 z (/.f64 z (fma.f64 (-.f64 x z) y (neg.f64 z))))))
(+.f64 (*.f64 (-.f64 x z) y) z)
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) (.f64 y x))
(+.f64 z (*.f64 (-.f64 x z) y))
(+.f64 (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) y) z))

eval315.0ms (6.4%)

Memory: 36.8MiB live, 189.8MiB allocated
Compiler: Compiled 13 661 to 1 633 computations (88% saved)

prune180.0ms (3.6%)

Memory

-31.2MiB live, 65.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	779	2	781
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	779	6	785

Accuracy

100.0%

Counts

785 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
✓	69.7%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
✓	62.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
▶	33.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
▶	32.4%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	40.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify46.0ms (0.9%)

Memory

3.2MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

704×	`lower-fma.f64`
704×	`lower-fma.f32`
336×	`lower-*.f32`
332×	`lower-*.f64`
184×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	577	63
8	666	63
9	695	63
10	781	63
11	829	63
12	833	63
13	837	63
14	843	63
15	847	63
0	847	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.7%)

Memory

10.6MiB live, 45.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(*.f64 #s(approx (- x z) (neg.f64 z)) y)
accuracy	19.378391353758133	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
accuracy	30.83363111363637	#s(approx (- x z) (neg.f64 z))
accuracy	0	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	23.806233141659987	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
accuracy	36.84190729203319	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

28.0ms

256×

valid

Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions

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

ival-mult: 7.0ms (59% of total)

ival-sub: 3.0ms (25.3% of total)

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

ival-neg: 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)

series9.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

7 → 180

Calls

Call 1

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

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

Calls

9 calls:

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

simplify144.0ms (2.9%)

Memory

0.7MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 194×	`lower-fma.f64`
7 194×	`lower-fma.f32`
2 540×	`lower-*.f64`
2 540×	`lower-*.f32`
1 280×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1062
1	293	852
2	839	852
3	2211	852
4	4345	852
5	6289	852
6	7293	852
7	7907	852
0	8005	798

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 174

Calls

Call 1

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

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

rewrite150.0ms (3%)

Memory

-16.3MiB live, 140.2MiB allocated

Rules

4 962×	`lower-fma.f64`
4 962×	`lower-fma.f32`
3 892×	`lower-*.f32`
3 888×	`lower-*.f64`
1 852×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	19	63
1	69	63
2	456	63
3	5427	59
0	8865	55

Stop Event

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

Counts

7 → 40

Calls

Call 1

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

Outputs
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
(*.f64 z #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) z) y))
(.f64 (.f64 #s(approx (- x z) z) #s(literal 1 binary64)) y)
(.f64 (.f64 #s(approx (- x z) z) y) #s(literal 1 binary64))
(*.f64 #s(approx (- x z) z) y)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- x z) z) y))
(.f64 y (.f64 #s(literal 1 binary64) #s(approx (- x z) z)))
(*.f64 y #s(approx (- x z) z))
#s(approx (- x z) z)
(*.f64 #s(literal -1 binary64) z)
(.f64 (.f64 z z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(*.f64 z #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 z #s(literal 1 binary64))
(/.f64 (*.f64 z z) z)
(/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))
(neg.f64 z)
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))
(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))
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(-.f64 #s(literal 0 binary64) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(+.f64 z #s(literal 0 binary64))
z

eval36.0ms (0.7%)

Memory: -7.1MiB live, 30.1MiB allocated
Compiler: Compiled 1 489 to 182 computations (87.8% saved)

prune8.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	214	6	220

Accuracy

100.0%

Counts

220 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
✓	69.7%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
✓	62.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	33.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
✓	32.4%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	40.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 77 to 62 computations (19.5% saved)

regimes16.0ms (0.3%)

Memory

-13.3MiB live, 23.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
84.3%	3	`x`
90.4%	3	`y`
82.8%	3	`z`
77.7%	3	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.2%)

Memory

-34.3MiB live, 14.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
75.3%	3	`z`
80.3%	3	`x`
67.2%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes8.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
68.6%	5	`y`
57.6%	3	`z`
51.9%	4	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
61.1%	4	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.9%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

-18.7MiB live, 19.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.3%	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
40.3%	1	`z`
40.3%	1	`x`
40.3%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch34.0ms (0.7%)

Memory

0.6MiB live, 39.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	4.354476156252513e-41	4.4213757365477547e-39
8.0ms	-6.46427763574597e-12	-1.1057422376270487e-12

Samples

10.0ms

208×

valid

Compiler

Compiled 168 to 209 computations (-24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (58.9% of total)

ival-sub: 1.0ms (19.6% of total)

ival-add: 1.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.4%)

Memory

0.4MiB live, 39.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.0198723400761684e+64	6.48333340619366e+66
7.0ms	-3.278461858062906e+80	-1.0938248619396514e+80

Samples

10.0ms

208×

valid

Compiler

Compiled 142 to 196 computations (-38% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (58.5% of total)

ival-sub: 1.0ms (19.5% of total)

ival-add: 1.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch121.0ms (2.4%)

Memory

-20.7MiB live, 86.4MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
68.0ms	3.466156517394826e+180	1.5065461235719673e+182
38.0ms	6.3467241586656365e-80	2.564059024637809e-67
1.0ms	-6.46427763574597e-12	-1.1057422376270487e-12
11.0ms	-1.4654644333748976e+84	-2.08415611725588e+81

Samples

29.0ms

400×

valid

Compiler

Compiled 306 to 448 computations (-46.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 15.0ms (76.5% of total)

ival-sub: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.3467241586656365e-80	2.564059024637809e-67
1.0ms	-6.46427763574597e-12	-1.1057422376270487e-12

Compiler

Compiled 156 to 238 computations (-52.6% saved)

simplify47.0ms (0.9%)

Memory

2.0MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	277
1	64	277
2	70	277
3	73	277
4	74	277

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
(if (<=.f64 y #s(literal -5694524180712749/2475880078570760549798248448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 6742980379809911/1532495540865888858358347027150309183618739122183602176 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 x #s(literal -154999999999999994117428883941627526875084664624399436164255448772021618265292800 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 1799999999999999938994642878516515932291695543575091567590388006912 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))
(if (<=.f64 y #s(literal -54999999999999999672370477666791145327337730677731539967563527547634755827461521408 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal -5694524180712749/2475880078570760549798248448 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 7740321367461889/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) (if (<=.f64 y #s(literal 37000000000000003567017610664552309647543784950641021226377185778249883317821974852578009445095087086523393249909583003379979271297848479913518508120930489451201645523290127337521152 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))))))
(if (<=.f64 y #s(literal -5694524180712749/2475880078570760549798248448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 7740321367461889/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
(if (<=.f64 y #s(literal -5694524180712749/2475880078570760549798248448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 6742980379809911/1532495540865888858358347027150309183618739122183602176 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 x #s(literal -154999999999999994117428883941627526875084664624399436164255448772021618265292800 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 x #s(literal 1799999999999999938994642878516515932291695543575091567590388006912 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))
(if (<=.f64 y #s(literal -54999999999999999672370477666791145327337730677731539967563527547634755827461521408 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal -5694524180712749/2475880078570760549798248448 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 7740321367461889/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) (if (<=.f64 y #s(literal 37000000000000003567017610664552309647543784950641021226377185778249883317821974852578009445095087086523393249909583003379979271297848479913518508120930489451201645523290127337521152 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))))))
(if (<=.f64 y #s(literal -5694524180712749/2475880078570760549798248448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 7740321367461889/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

soundness965.0ms (19.4%)

Memory

10.7MiB live, 361.8MiB allocated

Rules

7 608×	`lower-fma.f64`
7 608×	`lower-fma.f32`
6 394×	`lower-fma.f64`
6 394×	`lower-fma.f32`
2 692×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1962
1	390	1572
2	1120	1572
3	2704	1572
4	5394	1572
5	7547	1572
0	8047	1437
0	57	498
1	193	442
2	559	442
3	1395	442
4	3892	442
5	6259	442
0	8055	415

Stop Event

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

Compiler

Compiled 177 to 115 computations (35% saved)

preprocess51.0ms (1%)

Memory: 12.1MiB live, 129.2MiB allocated
Compiler: Compiled 274 to 118 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	556	22
9	625	22
10	627	22
0	627	21

Iter	Nodes	Cost
0	18	98
0	24	98
1	35	98
2	52	86
3	85	86
4	148	86
5	210	86
6	338	86
7	525	86
8	690	86
9	711	86
10	711	86
0	711	86

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	577	63
8	666	63
9	695	63
10	781	63
11	829	63
12	833	63
13	837	63
14	843	63
15	847	63
0	847	61

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	556	22
9	625	22
10	627	22
0	627	21

Iter	Nodes	Cost
0	18	98
0	24	98
1	35	98
2	52	86
3	85	86
4	148	86
5	210	86
6	338	86
7	525	86
8	690	86
9	711	86
10	711	86
0	711	86

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	577	63
8	666	63
9	695	63
10	781	63
11	829	63
12	833	63
13	837	63
14	843	63
15	847	63
0	847	61

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (25.5%)

explain98.0ms (2%)

preprocess149.0ms (3%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify109.0ms (2.2%)

localize27.0ms (0.5%)

series10.0ms (0.2%)

simplify147.0ms (3%)

rewrite275.0ms (5.5%)

eval203.0ms (4.1%)

prune7.0ms (0.1%)

simplify35.0ms (0.7%)

localize52.0ms (1%)

series27.0ms (0.5%)

simplify150.0ms (3%)

rewrite185.0ms (3.7%)

eval315.0ms (6.4%)

prune180.0ms (3.6%)

simplify46.0ms (0.9%)

localize35.0ms (0.7%)

series9.0ms (0.2%)

simplify144.0ms (2.9%)

rewrite150.0ms (3%)

eval36.0ms (0.7%)

prune8.0ms (0.2%)

regimes16.0ms (0.3%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch34.0ms (0.7%)

bsearch21.0ms (0.4%)

bsearch121.0ms (2.4%)

bsearch2.0ms (0%)

simplify47.0ms (0.9%)

soundness965.0ms (19.4%)

preprocess51.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	556	22
9	625	22
10	627	22
0	627	21

Iter	Nodes	Cost
0	18	98
0	24	98
1	35	98
2	52	86
3	85	86
4	148	86
5	210	86
6	338	86
7	525	86
8	690	86
9	711	86
10	711	86
0	711	86

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	577	63
8	666	63
9	695	63
10	781	63
11	829	63
12	833	63
13	837	63
14	843	63
15	847	63
0	847	61