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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample744.0ms (13.1%)

Memory

-2.2MiB live, 991.2MiB allocated

Samples

516.0ms	8 252×	0	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Precisions

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

ival-sub: 108.0ms (47.3% of total)

ival-add: 54.0ms (23.7% of total)

ival-mult: 51.0ms (22.4% of total)

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

exact: 5.0ms (2.2% of total)

ival-assert: 4.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain68.0ms (1.2%)

Memory

18.5MiB live, 91.5MiB 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

23.0ms

512×

valid

Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions

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

ival-sub: 3.0ms (31.8% of total)

ival-add: 3.0ms (31.8% of total)

ival-mult: 3.0ms (31.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess235.0ms (4.1%)

Memory

11.0MiB live, 92.1MiB allocated

Algorithm

1×	egg-herbie

Rules

776×	`lower-fma.f64`
776×	`lower-fma.f32`
663×	`unsub-neg`
456×	`sub-neg`
332×	`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))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))

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)

simplify44.0ms (0.8%)

Memory

-0.8MiB live, 37.2MiB 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

776×	`lower-fma.f64`
776×	`lower-fma.f32`
184×	`lower-*.f32`
183×	`lower-*.f64`
172×	`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 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

localize22.0ms (0.4%)

Memory

0.8MiB live, 37.6MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 5.0ms (64.5% of total)

ival-sub: 1.0ms (12.9% of total)

ival-add: 1.0ms (12.9% 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

11.8MiB live, 11.8MiB 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))

simplify386.0ms (6.8%)

Memory

-33.8MiB live, 179.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 073×	`lower-fma.f64`
6 073×	`lower-fma.f32`
1 361×	`lower-*.f64`
1 361×	`lower-*.f32`
1 098×	`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 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ x y)
(+.f64 x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
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)

rewrite360.0ms (6.3%)

Memory

30.1MiB live, 459.3MiB allocated

Rules

2 879×	`lower-*.f32`
2 878×	`lower-*.f64`
1 986×	`lower-/.f64`
1 986×	`lower-/.f32`
1 254×	`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 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (fma.f64 (.f64 z z) z #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (+.f64 y x)) (-.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 (/.f64 (.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (+.f64 y x)) (fma.f64 (.f64 (fma.f64 z z z) (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 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 x y) (+.f64 y x))) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (.f64 (-.f64 y x) y) y) (-.f64 y x)) (.f64 (-.f64 y x) y)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 (fma.f64 (*.f64 z z) z #s(literal 1 binary64)) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(.f64 (.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 y x)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 #s(literal 1 binary64) z)))
(.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (+.f64 y x)))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (/.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (.f64 y y) y (.f64 (*.f64 x x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (fma.f64 (.f64 y y) y (.f64 (*.f64 x x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (+.f64 y x)) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 y x)) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (fma.f64 (.f64 y y) y (.f64 (*.f64 x x) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (-.f64 y x)) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 z)))) (.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (neg.f64 (-.f64 x y))) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 z)))) (.f64 (fma.f64 x x (*.f64 y y)) (neg.f64 (-.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 z)))) (.f64 (fma.f64 x x (.f64 y y)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
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(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (fma.f64 (.f64 z z) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (fma.f64 (*.f64 z z) z #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 z z) z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))) (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (.f64 (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) z))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) z)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))) (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 z z) z))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 z z) z) (fma.f64 (*.f64 z z) z #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z z))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 z z) (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (.f64 (.f64 z z) z))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z z))) (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (*.f64 z z) z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 z z) z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 z z) z)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (fma.f64 (*.f64 z z) z #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 #s(literal -1 binary64) (.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) z))) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 z z) z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (neg.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (fma.f64 (.f64 z z) z #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z z)))) (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (fma.f64 (.f64 z z) (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)))) (fma.f64 (.f64 z z) z #s(literal 1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)))) (fma.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 z z) z #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z z) (fma.f64 z z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z z z))) #s(literal -1 binary64)) (neg.f64 (.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(fma.f64 (/.f64 #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)) (neg.f64 (.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z z) (fma.f64 z z z)) (fma.f64 z z z) #s(literal 1 binary64))) (pow.f64 (/.f64 #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))) #s(literal -1 binary64)) (neg.f64 (.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 z z z) (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)) (neg.f64 (.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (neg.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (neg.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z #s(literal 1 binary64))) (neg.f64 (.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 z #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 z))
(-.f64 #s(literal 1 binary64) z)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(+.f64 (neg.f64 z) #s(literal 1 binary64))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z)))
(+.f64 #s(literal 1 binary64) (neg.f64 z))
(+.f64 #s(literal 1 binary64) z)

eval124.0ms (2.2%)

Memory: -16.9MiB live, 219.7MiB allocated
Compiler: Compiled 38 560 to 2 731 computations (92.9% saved)

prune168.0ms (3%)

Memory

20.4MiB live, 256.3MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	896	5	901
Fresh	0	0	0
Picked	0	1	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
▶	98.4%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
▶	52.2%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
▶	49.1%	#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))
▶	52.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
▶	50.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))

Compiler

Compiled 106 to 65 computations (38.7% saved)

simplify80.0ms (1.4%)

Memory

-16.6MiB live, 25.0MiB 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 #s(literal 1 binary64) z)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) z) y)
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) z))
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
cost-diff	0	(+.f64 x y)
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	384	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))

Rules

864×	`lower-fma.f32`
863×	`lower-fma.f64`
240×	`lower-*.f32`
236×	`lower-*.f64`
192×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	110
0	27	107
1	40	107
2	70	107
3	152	107
4	347	107
5	545	107
6	1019	107
7	1421	107
8	1519	107
9	1624	107
10	1713	107
11	1718	107
12	1720	107
13	1723	107
14	1725	107
0	1725	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize99.0ms (1.7%)

Memory

9.1MiB live, 86.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
accuracy	30.466274038270505	#s(approx (- 1 z) (neg.f64 z))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy	30.205012127030397	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 x (-.f64 #s(literal 1 binary64) z))
accuracy	32.025861105203475	#s(approx (* (+ x y) (- 1 z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
accuracy	0	(+.f64 x y)
accuracy	32.5549922002943	#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy	1.0038952404222408	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))

Samples

58.0ms

256×

valid

Compiler

Compiled 91 to 14 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-add: 35.0ms (80.5% of total)

ival-mult: 6.0ms (13.8% of total)

ival-sub: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.7%)

Memory

-16.4MiB live, 22.3MiB allocated

Counts

12 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

simplify193.0ms (3.4%)

Memory

3.5MiB live, 157.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 247×	`lower-fma.f64`
6 247×	`lower-fma.f32`
1 186×	`lower-*.f64`
1 186×	`lower-*.f32`
816×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	2065
1	305	1660
2	832	1660
3	2575	1660
4	6309	1660
0	8331	1660

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 303

Calls

Call 1

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

rewrite361.0ms (6.3%)

Memory

17.1MiB live, 187.4MiB allocated

Rules

2 888×	`lower-fma.f32`
2 887×	`lower-fma.f64`
2 629×	`lower-*.f32`
2 625×	`lower-*.f64`
1 761×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	27	83
1	77	83
2	533	83
0	8405	83

Stop Event

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

Counts

12 → 586

Calls

Call 1

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

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

eval325.0ms (5.7%)

Memory: -7.2MiB live, 192.2MiB allocated
Compiler: Compiled 24 207 to 1 679 computations (93.1% saved)

prune209.0ms (3.7%)

Memory

10.9MiB live, 284.5MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 206	5	1 211
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 207	10	1 217

Accuracy

100.0%

Counts

1 217 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	52.2%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
✓	49.1%	#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))
✓	52.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
▶	27.1%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
▶	27.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
✓	50.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
▶	28.1%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))
▶	23.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) #s(literal 1 binary64))))

Compiler

Compiled 139 to 81 computations (41.7% saved)

simplify93.0ms (1.6%)

Memory

-22.7MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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 #s(approx (- 1 z) (neg.f64 z)) y)
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- 1 z) (neg.f64 z))
cost-diff	0	(*.f64 x #s(approx (- 1 z) (neg.f64 z)))
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))
cost-diff	0	#s(approx (- 1 z) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
cost-diff	0	#s(approx (- 1 z) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (- 1 z) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) #s(literal 1 binary64))))
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))

Rules

904×	`lower-fma.f32`
903×	`lower-fma.f64`
280×	`lower-*.f32`
275×	`lower-*.f64`
204×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	161
0	27	155
1	42	155
2	61	155
3	111	155
4	291	155
5	647	155
6	1000	155
7	1496	155
8	1793	155
9	1870	155
10	2076	155
11	2249	155
12	2260	155
13	2264	155
14	2270	155
15	2274	155
0	2274	155

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (1%)

Memory

-11.3MiB live, 104.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
accuracy	30.205012127030397	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
accuracy	30.466274038270555	#s(approx (- 1 z) (neg.f64 z))
accuracy	0	(*.f64 x #s(approx (- 1 z) (neg.f64 z)))
accuracy	0	(neg.f64 z)
accuracy	30.466274038270555	#s(approx (- 1 z) (neg.f64 z))
accuracy	32.025861105203475	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))
accuracy	0.00390625	(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
accuracy	30.205012127030397	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
accuracy	32.698587725336445	#s(approx (- 1 z) #s(literal 1 binary64))
accuracy	0	(*.f64 x #s(approx (- 1 z) #s(literal 1 binary64)))
accuracy	32.025861105203475	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) #s(literal 1 binary64))))
accuracy	32.698587725336445	#s(approx (- 1 z) #s(literal 1 binary64))
accuracy	0	(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy	0	(neg.f64 z)
accuracy	1.0038952404222408	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy	30.466274038270555	#s(approx (- 1 z) (neg.f64 z))

Samples

24.0ms

256×

valid

Compiler

Compiled 98 to 14 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (54.2% of total)

ival-add: 2.0ms (18.1% of total)

ival-sub: 1.0ms (9% of total)

ival-neg: 1.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

29.1MiB live, 29.1MiB allocated

Counts

13 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

simplify169.0ms (3%)

Memory

-16.0MiB live, 215.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 168×	`lower-fma.f64`
4 168×	`lower-fma.f32`
1 383×	`lower--.f64`
1 383×	`lower--.f32`
1 256×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	2233
1	259	1828
2	736	1828
3	2088	1828
4	6434	1828
0	8053	1828

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 331

Calls

Call 1

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

rewrite216.0ms (3.8%)

Memory

1.5MiB live, 234.6MiB allocated

Rules

2 626×	`lower-fma.f32`
2 625×	`lower-fma.f64`
2 459×	`lower-*.f32`
2 454×	`lower-*.f64`
1 361×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	129
0	27	123
1	79	123
2	504	123
3	6302	115
0	8752	115

Stop Event

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

Counts

13 → 157

Calls

Call 1

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

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

eval107.0ms (1.9%)

Memory: 24.2MiB live, 152.9MiB allocated
Compiler: Compiled 8 790 to 514 computations (94.2% saved)

prune94.0ms (1.6%)

Memory

-11.0MiB live, 112.2MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	658	2	660
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	658	12	670

Accuracy

100.0%

Counts

670 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	52.2%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
✓	49.1%	#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))
✓	52.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
✓	27.1%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
▶	2.6%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
▶	4.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
✓	27.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
✓	50.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
✓	28.1%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))
✓	23.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) #s(literal 1 binary64))))

Compiler

Compiled 108 to 63 computations (41.7% saved)

simplify74.0ms (1.3%)

Memory

8.1MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

816×	`lower-fma.f64`
816×	`lower-fma.f32`
224×	`lower-*.f32`
222×	`lower-*.f64`
184×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
0	14	58
1	22	58
2	40	58
3	80	58
4	221	58
5	519	58
6	843	58
7	1342	58
8	1668	58
9	1740	58
10	1817	58
11	1865	58
12	1871	58
13	1873	58
14	1876	58
15	1878	58
0	1878	58

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.6%)

Memory

-8.7MiB live, 70.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 #s(approx (- 1 z) z) y)
accuracy	30.205012127030397	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
accuracy	62.61051566688335	#s(approx (- 1 z) z)
accuracy	0	(*.f64 #s(approx (- 1 z) z) x)
accuracy	32.025861105203475	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
accuracy	62.61051566688335	#s(approx (- 1 z) z)

Samples

19.0ms

256×

valid

Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (70.2% of total)

ival-sub: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

simplify170.0ms (3%)

Memory

-5.4MiB live, 253.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 302×	`lower-fma.f64`
4 302×	`lower-fma.f32`
1 372×	`lower-*.f64`
1 372×	`lower-*.f32`
1 005×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	728
1	236	728
2	686	728
3	1952	728
4	6270	728
0	8312	728

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

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))))))
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 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 z))
(* x (- 1 z))
(* x (- 1 z))
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))))
(* 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 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 z))
(* y (- 1 z))
(* y (- 1 z))

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

rewrite202.0ms (3.5%)

Memory

-8.5MiB live, 358.3MiB allocated

Rules

2 883×	`lower-*.f32`
2 881×	`lower-*.f64`
1 986×	`lower-/.f64`
1 986×	`lower-/.f32`
1 254×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
0	14	49
1	47	49
2	313	49
3	4032	49
0	9593	49

Stop Event

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

Counts

5 → 7

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: 2.5MiB live, 41.6MiB allocated
Compiler: Compiled 1 061 to 24 computations (97.7% saved)

prune11.0ms (0.2%)

Memory

-7.4MiB live, 32.3MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	2	2
Done	0	10	10
Total	150	12	162

Accuracy

100.0%

Counts

162 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.7%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	52.2%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
✓	49.1%	#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))
✓	52.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
✓	27.1%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
✓	2.6%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) y))
✓	4.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
✓	27.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
✓	50.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
✓	28.1%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))
✓	23.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 x #s(approx (- 1 z) #s(literal 1 binary64))))

Compiler

Compiled 193 to 84 computations (56.5% saved)

regimes28.0ms (0.5%)

Memory

20.9MiB live, 60.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	z
4.0ms	(+.f64 x y)
4.0ms	y
4.0ms	x
4.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

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)

regimes66.0ms (1.2%)

Memory

2.0MiB live, 43.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

6 calls:

47.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
4.0ms	(+.f64 x y)
4.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
84.0%	2	`x`
83.1%	2	`y`
97.7%	3	`z`
86.3%	4	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
98.1%	2	`(+.f64 x y)`
97.7%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes20.0ms (0.4%)

Memory

0.0MiB live, 39.5MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
69.3%	2	`y`
67.8%	3	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
71.8%	4	`x`
81.5%	4	`z`
81.5%	4	`(-.f64 #s(literal 1 binary64) z)`
78.2%	3	`(+.f64 x y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
3.0ms	(-.f64 #s(literal 1 binary64) z)

Results

Accuracy	Segments	Branch
79.4%	3	`z`
79.4%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes34.0ms (0.6%)

Memory

-25.5MiB live, 13.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	(-.f64 #s(literal 1 binary64) z)
2.0ms	(+.f64 x y)
2.0ms	z

Results

Accuracy	Segments	Branch
53.2%	2	`(+.f64 x y)`
73.8%	3	`z`
73.8%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes14.0ms (0.2%)

Memory

26.1MiB live, 26.1MiB allocated

Accuracy

Total -30.7b remaining (-94.3%)

Threshold costs -30.7b (-94.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
49.1%	1	`(+.f64 x y)`
49.1%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
49.1%	1	`x`
49.1%	1	`y`
49.1%	1	`z`
49.1%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.024311455491509e-253	1.406999541537925e-304

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	255835551175433.06	1.5763593308543584e+28
0.0ms	1.0000000000069618	1.0000016538908478
0.0ms	0.9996305973928684	0.9999970495220811

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	255835551175433.06	1.5763593308543584e+28
0.0ms	-1.8377434419139806	0.9996305973928684

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch8.0ms (0.1%)

Memory

-39.0MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
8.0ms	1.0000016538908478	218083.60199130359
0.0ms	-1.8377434419139806	0.9996305973928684

Compiler

Compiled 13 to 13 computations (0% saved)

simplify7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	231
1	53	231
2	56	231
3	57	231

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -825460204899477/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x (-.f64 #s(literal 1 binary64) z))) #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2251349453722511/2251799813685248 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x (-.f64 #s(literal 1 binary64) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4503604130970123/4503599627370496 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 500000000000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x (-.f64 #s(literal 1 binary64) z))) #s(approx ( (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x #s(approx (- 1 z) (neg.f64 z)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 500000000000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x #s(approx (- 1 z) (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)) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))))
#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))

Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -825460204899477/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x (-.f64 #s(literal 1 binary64) z))) #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 y x) #s(literal -825460204899477/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2251349453722511/2251799813685248 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x (-.f64 #s(literal 1 binary64) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4503604130970123/4503599627370496 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 500000000000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x (-.f64 #s(literal 1 binary64) z))) #s(approx ( (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2251349453722511/2251799813685248 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4503604130970123/4503599627370496 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 500000000000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx ( (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x #s(approx (- 1 z) (neg.f64 z)))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 500000000000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 500000000000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 x #s(approx (- 1 z) (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)) (*.f64 x #s(approx (- 1 z) (neg.f64 z))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) 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)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))
#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))

soundness727.0ms (12.8%)

Memory

-5.4MiB live, 306.0MiB allocated

Rules

6 247×	`lower-fma.f64`
6 247×	`lower-fma.f32`
6 073×	`lower-fma.f64`
6 073×	`lower-fma.f32`
1 361×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	2065
1	305	1660
2	832	1660
3	2575	1660
4	6309	1660
0	8331	1660
0	65	326
1	213	326
2	682	326
3	2204	326
4	5160	326
5	7981	326
0	8697	326

Stop Event

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

Compiler

Compiled 220 to 102 computations (53.6% saved)

preprocess65.0ms (1.1%)

Memory: 3.4MiB live, 91.1MiB allocated
Remove: (sort x y)
Compiler: Compiled 336 to 120 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample744.0ms (13.1%)

explain68.0ms (1.2%)

preprocess235.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify44.0ms (0.8%)

localize22.0ms (0.4%)

series5.0ms (0.1%)

simplify386.0ms (6.8%)

rewrite360.0ms (6.3%)

eval124.0ms (2.2%)

prune168.0ms (3%)

simplify80.0ms (1.4%)

localize99.0ms (1.7%)

series40.0ms (0.7%)

simplify193.0ms (3.4%)

rewrite361.0ms (6.3%)

eval325.0ms (5.7%)

prune209.0ms (3.7%)

simplify93.0ms (1.6%)

localize57.0ms (1%)

series11.0ms (0.2%)

simplify169.0ms (3%)

rewrite216.0ms (3.8%)

eval107.0ms (1.9%)

prune94.0ms (1.6%)

simplify74.0ms (1.3%)

localize35.0ms (0.6%)

series4.0ms (0.1%)

simplify170.0ms (3%)

rewrite202.0ms (3.5%)

eval14.0ms (0.3%)

prune11.0ms (0.2%)

regimes28.0ms (0.5%)

regimes66.0ms (1.2%)

regimes20.0ms (0.4%)

regimes6.0ms (0.1%)

regimes34.0ms (0.6%)

regimes14.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

simplify7.0ms (0.1%)

soundness727.0ms (12.8%)

preprocess65.0ms (1.1%)

end0.0ms (0%)

Profiling