Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 9 to 9 computations (0% saved)

sample956.0ms (14.3%)

Memory

7.7MiB live, 1 037.1MiB allocated

Samples

676.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 354.0ms

ival-add: 225.0ms (63.6% of total)

ival-mult: 74.0ms (20.9% of total)

ival-sub: 40.0ms (11.3% 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

explain59.0ms (0.9%)

Memory

12.3MiB live, 124.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions

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

ival-sub: 3.0ms (31.3% of total)

ival-add: 3.0ms (31.3% of total)

ival-mult: 3.0ms (31.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess297.0ms (4.4%)

Memory

-30.2MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 552×	`lower-fma.f64`
1 552×	`lower-fma.f32`
1 326×	`unsub-neg`
912×	`sub-neg`
664×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	69	64
2	233	63
3	844	63
4	2634	63
5	4455	63
6	5449	63
7	5703	63
8	5755	63
9	5778	63
10	5781	63
11	5844	63
12	5852	63
13	5852	63
14	5852	63
15	5890	63
16	5890	63
0	7	7
0	10	7
1	16	7
2	34	7
3	74	7
4	215	7
5	504	7
6	825	7
7	1314	7
8	1634	7
9	1690	7
10	1690	7
0	1690	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify189.0ms (2.8%)

Memory

30.4MiB live, 69.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

1 552×	`lower-fma.f64`
1 552×	`lower-fma.f32`
368×	`lower-*.f32`
366×	`lower-*.f64`
344×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	16	17
2	34	17
3	74	17
4	215	17
5	504	17
6	825	17
7	1314	17
8	1634	17
9	1690	17
10	1690	17
0	1690	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize163.0ms (2.4%)

Memory

-22.3MiB live, 61.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

26.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 2.0ms (42.8% of total)

ival-sub: 1.0ms (21.4% of total)

ival-add: 1.0ms (21.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

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

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

Calls

18 calls:

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

simplify191.0ms (2.9%)

Memory

-8.3MiB live, 278.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 146×	`lower-fma.f64`
12 146×	`lower-fma.f32`
2 722×	`lower-*.f64`
2 722×	`lower-*.f32`
2 196×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	326
1	213	326
2	682	326
3	2204	326
4	5160	326
5	7981	326
0	8697	326

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 66

Calls

Call 1

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

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

rewrite272.0ms (4.1%)

Memory

7.7MiB live, 353.0MiB allocated

Rules

5 758×	`lower-*.f32`
5 756×	`lower-*.f64`
3 972×	`lower-/.f64`
3 972×	`lower-/.f32`
2 508×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	41	13
2	307	13
3	4032	13
0	9598	13

Stop Event

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

Counts

3 → 835

Calls

Call 1

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

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

eval191.0ms (2.9%)

Memory: -3.9MiB live, 244.9MiB allocated
Compiler: Compiled 38 560 to 2 730 computations (92.9% saved)

prune293.0ms (4.4%)

Memory

-21.7MiB live, 222.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	895	6	901
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	896	6	902

Accuracy

100.0%

Counts

902 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x y) (neg.f64 z) (+.f64 x y))
	87.7%	(/.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z))) (+.f64 #s(literal 1 binary64) z))
▶	44.8%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
▶	53.5%	#s(approx (* (+ x y) (- 1 z)) (-.f64 y (*.f64 y z)))
▶	49.6%	#s(approx (* (+ x y) (- 1 z)) (-.f64 x (*.f64 z x)))
▶	56.1%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))

Compiler

Compiled 126 to 72 computations (42.9% saved)

simplify94.0ms (1.4%)

Memory

9.4MiB live, 47.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- 1 z) (neg.f64 z))
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
cost-diff	0	(*.f64 y z)
cost-diff	0	(-.f64 y (*.f64 y z))
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (-.f64 y (*.f64 y z)))
cost-diff	0	(*.f64 z x)
cost-diff	0	(-.f64 x (*.f64 z x))
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (-.f64 x (*.f64 z x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
cost-diff	0	(neg.f64 z)
cost-diff	0	(+.f64 x y)
cost-diff	192	(fma.f64 (+.f64 x y) (neg.f64 z) (+.f64 x y))

Rules

1 728×	`lower-fma.f32`
1 726×	`lower-fma.f64`
480×	`lower-*.f32`
474×	`lower-*.f64`
384×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	103
0	30	103
1	56	101
2	119	101
3	236	101
4	525	101
5	991	101
6	1345	101
7	1491	101
8	1583	101
9	1591	101
10	1593	101
11	1596	101
12	1598	101
0	1598	101

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (1.3%)

Memory

-9.4MiB live, 68.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	0.01171875	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
accuracy	35.3192493121104	#s(approx (- 1 z) (neg.f64 z))
accuracy	0	(*.f64 y z)
accuracy	0.00390625	(-.f64 y (*.f64 y z))
accuracy	29.72696437445255	#s(approx (* (+ x y) (- 1 z)) (-.f64 y (*.f64 y z)))
accuracy	0	(*.f64 z x)
accuracy	0.01171875	(-.f64 x (*.f64 z x))
accuracy	32.24872888348168	#s(approx (* (+ x y) (- 1 z)) (-.f64 x (*.f64 z x)))
accuracy	0	(+.f64 y x)
accuracy	28.094076901002463	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(fma.f64 (+.f64 x y) (neg.f64 z) (+.f64 x y))

Samples

46.0ms

256×

valid

Compiler

Compiled 84 to 17 computations (79.8% saved)

Precisions

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

ival-add: 23.0ms (68.5% of total)

ival-mult: 6.0ms (17.9% of total)

ival-sub: 3.0ms (8.9% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

13 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

simplify317.0ms (4.7%)

Memory

8.0MiB live, 208.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 102×	`lower-fma.f64`
15 102×	`lower-fma.f32`
2 746×	`lower-*.f64`
2 746×	`lower-*.f32`
2 018×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	2429
1	395	1718
2	1103	1718
3	4394	1718
0	8554	1718

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 334

Calls

Call 1

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

rewrite434.0ms (6.5%)

Memory

-25.9MiB live, 328.2MiB allocated

Rules

5 984×	`lower-fma.f32`
5 982×	`lower-fma.f64`
4 362×	`lower-/.f64`
4 362×	`lower-/.f32`
3 750×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	86
0	30	86
1	121	84
2	1101	84
0	8303	84

Stop Event

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

Counts

13 → 646

Calls

Call 1

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

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

eval220.0ms (3.3%)

Memory: 8.0MiB live, 197.2MiB allocated
Compiler: Compiled 25 540 to 1 719 computations (93.3% saved)

prune277.0ms (4.2%)

Memory

-9.1MiB live, 320.8MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 122	5	1 127
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 126	7	1 133

Accuracy

100.0%

Counts

1 133 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.6%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	44.8%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
▶	53.6%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y))
▶	49.6%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
✓	56.1%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
▶	27.4%	#s(approx (* (+ x y) (- 1 z)) #s(approx (- y (* y z)) (*.f64 z (neg.f64 y))))
▶	21.3%	#s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (*.f64 z (neg.f64 x))))

Compiler

Compiled 115 to 62 computations (46.1% saved)

simplify112.0ms (1.7%)

Memory

1.5MiB live, 78.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 728×	`lower-fma.f32`
1 722×	`lower-fma.f64`
480×	`lower-*.f32`
474×	`lower-*.f64`
384×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	151
0	39	145
1	76	145
2	112	145
3	206	145
4	429	145
5	941	145
6	1337	145
7	1552	145
8	1655	145
9	1747	145
10	1755	145
11	1757	145
12	1760	145
13	1762	145
0	1762	145

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (1.1%)

Memory

31.1MiB live, 151.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy	0.7538979928166806	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy	35.3192493121104	#s(approx (- 1 z) (neg.f64 z))
accuracy	0	(fma.f64 (neg.f64 z) x x)
accuracy	0	(neg.f64 z)
accuracy	32.24872888348168	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
accuracy	0	(*.f64 z (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	29.72696437445255	#s(approx (* (+ x y) (- 1 z)) #s(approx (- y (* y z)) (*.f64 z (neg.f64 y))))
accuracy	35.17820375042921	#s(approx (- y (* y z)) (*.f64 z (neg.f64 y)))
accuracy	0	(*.f64 z (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	32.24872888348168	#s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (*.f64 z (neg.f64 x))))
accuracy	34.996337032110375	#s(approx (- x (* z x)) (*.f64 z (neg.f64 x)))
accuracy	0	(fma.f64 (neg.f64 z) y y)
accuracy	0	(neg.f64 z)
accuracy	29.72696437445255	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y))

Samples

48.0ms

256×

valid

Compiler

Compiled 100 to 25 computations (75% saved)

Precisions

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

ival-mult: 21.0ms (61.2% of total)

ival-sub: 5.0ms (14.6% of total)

ival-add: 5.0ms (14.6% of total)

ival-neg: 3.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

6.5MiB live, 43.6MiB allocated

Counts

16 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(neg y)
0.0ms	y	@	-inf	(+ (* (- 1 z) y) (* (- 1 z) x))
0.0ms	z	@	0	(+ (* (- 1 z) y) (* (- 1 z) x))
0.0ms	z	@	inf	(+ (* (- 1 z) y) (* (- 1 z) x))
0.0ms	z	@	0	(* z (neg x))

simplify209.0ms (3.1%)

Memory

2.7MiB live, 284.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 070×	`lower-fma.f64`
8 070×	`lower-fma.f32`
2 904×	`lower-*.f64`
2 904×	`lower-*.f32`
1 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	2036
1	320	2036
2	840	2036
3	2947	2036
0	8007	2036

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 391

Calls

Call 1

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

rewrite305.0ms (4.6%)

Memory

-16.2MiB live, 481.7MiB allocated

Rules

5 348×	`lower-*.f32`
5 342×	`lower-*.f64`
4 174×	`lower-/.f64`
4 174×	`lower-/.f32`
3 894×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	136
0	39	130
1	152	130
2	1086	130
0	8521	130

Stop Event

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

Counts

16 → 230

Calls

Call 1

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

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

eval78.0ms (1.2%)

Memory: -3.9MiB live, 189.9MiB allocated
Compiler: Compiled 11 807 to 755 computations (93.6% saved)

prune96.0ms (1.4%)

Memory

-1.1MiB live, 158.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	712	0	712
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	712	7	719

Accuracy

100.0%

Counts

719 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.6%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	44.8%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
✓	53.6%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y))
✓	49.6%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
✓	56.1%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
✓	27.4%	#s(approx (* (+ x y) (- 1 z)) #s(approx (- y (* y z)) (*.f64 z (neg.f64 y))))
✓	21.3%	#s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (*.f64 z (neg.f64 x))))

Compiler

Compiled 155 to 64 computations (58.7% saved)

regimes55.0ms (0.8%)

Memory

7.8MiB live, 47.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(fma.f64 (+.f64 x y) (neg.f64 z) (+.f64 x y))

Calls

6 calls:

34.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
4.0ms	z
4.0ms	(+.f64 x y)
4.0ms	x
4.0ms	y

Results

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes48.0ms (0.7%)

Memory

-26.8MiB live, 52.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

28.0ms	(-.f64 #s(literal 1 binary64) z)
5.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(+.f64 x 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 #s(literal 1 binary64) z))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes20.0ms (0.3%)

Memory

18.0MiB live, 56.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	z
3.0ms	(+.f64 x y)
3.0ms	y
3.0ms	x
3.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Results

Accuracy	Segments	Branch
85.3%	3	`x`
85.4%	2	`y`
97.7%	3	`z`
87.7%	4	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
98.5%	2	`(+.f64 x y)`
97.7%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes3.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.5%	2	`(+.f64 x y)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-27.8MiB live, 10.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.5%	2	`(+.f64 x y)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

4.6MiB live, 42.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
2.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
70.2%	3	`x`
72.3%	4	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
74.4%	4	`y`
81.9%	3	`z`
81.9%	3	`(-.f64 #s(literal 1 binary64) z)`
82.2%	5	`(+.f64 x y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.6%	3	`z`
80.6%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.1%	1	`(+.f64 x y)`
74.3%	3	`z`
74.3%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes12.0ms (0.2%)

Memory

-27.3MiB live, 20.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(-.f64 #s(literal 1 binary64) z)
1.0ms	x
1.0ms	y
1.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
1.0ms	z

Results

Accuracy	Segments	Branch
56.1%	1	`x`
56.1%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
56.1%	1	`y`
56.1%	1	`z`
56.1%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.803697357707549e-252	4.799709546400625e-271

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.803697357707549e-252	4.799709546400625e-271

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.803697357707549e-252	4.799709546400625e-271

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	56520152.59370094	11311354628.687162
0.0ms	0.9998700863770208	0.9999952508660812

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	56520152.59370094	11311354628.687162
0.0ms	-2.289487270343466	0.9085294617662494

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.00000001180363	56520152.59370094
0.0ms	-2.289487270343466	0.9085294617662494

Compiler

Compiled 13 to 13 computations (0% saved)

simplify12.0ms (0.2%)

Memory

-14.1MiB live, 23.3MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	295
1	81	295
2	98	295
3	105	295
4	107	295

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 x y) (neg.f64 z) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (-.f64 y (*.f64 y z))))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (-.f64 x (.f64 z x))) #s(approx ( (+ x y) (- 1 z)) (-.f64 y (*.f64 y z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4503149267407759/4503599627370496 binary64)) #s(approx (* (+ x y) (- 1 z)) (-.f64 x (.f64 z x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 100000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- y (* y z)) (*.f64 z (neg.f64 y))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (.f64 z (neg.f64 x)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 100000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- y (* y z)) (*.f64 z (neg.f64 y))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (.f64 z (neg.f64 x)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (*.f64 z (neg.f64 x))))))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))

Outputs
(fma.f64 (+.f64 x y) (neg.f64 z) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (-.f64 y (*.f64 y z))))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (-.f64 x (.f64 z x))) #s(approx ( (+ x y) (- 1 z)) (-.f64 y (*.f64 y z))))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (-.f64 x (.f64 x z))) #s(approx ( (+ x y) (- 1 z)) (-.f64 y (*.f64 y z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4503149267407759/4503599627370496 binary64)) #s(approx (* (+ x y) (- 1 z)) (-.f64 x (.f64 z x))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 100000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- y (* y z)) (*.f64 z (neg.f64 y))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4503149267407759/4503599627370496 binary64)) #s(approx (* (+ x y) (- 1 z)) (-.f64 x (.f64 x z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 100000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- y (* y z)) (neg.f64 (*.f64 y z))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (.f64 z (neg.f64 x)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 100000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- y (* y z)) (*.f64 z (neg.f64 y))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (.f64 x (neg.f64 z)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 100000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- y (* y z)) (neg.f64 (*.f64 y z))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (.f64 z (neg.f64 x)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (*.f64 z (neg.f64 x))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (.f64 x (neg.f64 z)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) #s(approx (- x (* z x)) (*.f64 x (neg.f64 z))))))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))

soundness1.2s (17.7%)

Memory

27.1MiB live, 745.4MiB allocated

Rules

15 102×	`lower-fma.f64`
15 102×	`lower-fma.f32`
12 146×	`lower-fma.f64`
12 146×	`lower-fma.f32`
5 984×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	86
0	30	86
1	121	84
2	1101	84
0	8303	84
0	65	326
1	213	326
2	682	326
3	2204	326
4	5160	326
5	7981	326
0	8697	326
0	120	2429
1	395	1718
2	1103	1718
3	4394	1718
0	8554	1718
0	7	13
0	10	13
1	41	13
2	307	13
3	4032	13
0	9598	13

Stop Event

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

Compiler

Compiled 331 to 142 computations (57.1% saved)

preprocess361.0ms (5.4%)

Memory: 9.3MiB live, 161.1MiB allocated
Remove: (sort x y)
Compiler: Compiled 414 to 120 computations (71% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample956.0ms (14.3%)

explain59.0ms (0.9%)

preprocess297.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify189.0ms (2.8%)

localize163.0ms (2.4%)

series5.0ms (0.1%)

simplify191.0ms (2.9%)

rewrite272.0ms (4.1%)

eval191.0ms (2.9%)

prune293.0ms (4.4%)

simplify94.0ms (1.4%)

localize84.0ms (1.3%)

series17.0ms (0.3%)

simplify317.0ms (4.7%)

rewrite434.0ms (6.5%)

eval220.0ms (3.3%)

prune277.0ms (4.2%)

simplify112.0ms (1.7%)

localize72.0ms (1.1%)

series18.0ms (0.3%)

simplify209.0ms (3.1%)

rewrite305.0ms (4.6%)

eval78.0ms (1.2%)

prune96.0ms (1.4%)

regimes55.0ms (0.8%)

regimes48.0ms (0.7%)

regimes20.0ms (0.3%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes15.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes12.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness1.2s (17.7%)

preprocess361.0ms (5.4%)

end0.0ms (0%)

Profiling