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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample757.0ms (15.8%)

Memory

25.9MiB live, 849.4MiB allocated

Samples

447.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-add: 152.0ms (67% of total)

ival-mult: 61.0ms (26.9% of total)

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

exact: 5.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain102.0ms (2.1%)

Memory

-32.9MiB live, 65.5MiB allocated

FPErrors

Click to see full error table

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

73.0ms

512×

valid

Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions

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

ival-add: 5.0ms (53.7% of total)

ival-mult: 3.0ms (32.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess167.0ms (3.5%)

Memory

5.7MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Rules

818×	`unsub-neg`
331×	`distribute-lft-in`
324×	`sub-neg`
319×	`distribute-rgt-in`
209×	`distribute-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	108	64
2	409	63
3	1248	63
4	2953	63
5	4413	63
6	5293	63
7	5413	63
8	5423	63
9	5428	63
10	5503	63
11	5539	63
12	5539	63
13	5598	63
14	5598	63
0	7	7
0	10	7
1	21	7
2	49	7
3	96	7
4	182	7
5	224	7
6	224	7
0	224	7

Stop Event

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

Calls

Call 1

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

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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify7.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

148×	`lower-fma.f64`
148×	`lower-fma.f32`
52×	`lower-+.f32`
50×	`lower-+.f64`
46×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	21	17
2	49	17
3	96	17
4	182	17
5	224	17
6	224	17
0	224	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (1%)

Memory

-7.3MiB live, 29.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z #s(literal 1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.015625	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Samples

41.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-add: 31.0ms (93.1% of total)

ival-mult: 2.0ms (6% 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

7.1MiB live, 7.1MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify262.0ms (5.5%)

Memory

-0.7MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 527×	`lower-fma.f64`
5 527×	`lower-fma.f32`
1 326×	`lower-*.f64`
1 326×	`lower-*.f32`
1 001×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	322
1	219	322
2	730	322
3	2461	322
4	4974	322
5	7661	322
0	8239	316

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 64

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

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

rewrite242.0ms (5.1%)

Memory

-1.1MiB live, 237.8MiB allocated

Rules

2 199×	`lower-*.f32`
2 198×	`lower-*.f64`
1 898×	`lower-fma.f64`
1 898×	`lower-fma.f32`
1 582×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	46	13
2	367	13
3	5570	13
0	8646	13

Stop Event

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

Counts

3 → 415

Calls

Call 1

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

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

eval129.0ms (2.7%)

Memory: -6.1MiB live, 127.8MiB allocated
Compiler: Compiled 10 945 to 1 125 computations (89.7% saved)

prune84.0ms (1.7%)

Memory

8.0MiB live, 165.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	474	5	479
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	474	6	480

Accuracy

100.0%

Counts

480 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
▶	52.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
▶	50.0%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x))
▶	49.0%	#s(approx (* (+ x y) (+ z 1)) (+.f64 x y))
▶	52.2%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 x y) z))

Compiler

Compiled 98 to 55 computations (43.9% saved)

simplify29.0ms (0.6%)

Memory

-24.6MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) z)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 x y) z))
cost-diff	0	(fma.f64 z y y)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
cost-diff	0	(fma.f64 x z x)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x))
cost-diff	0	(+.f64 x y)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (+.f64 x y))
cost-diff	0	(fma.f64 z x x)
cost-diff	0	(+.f64 #s(literal 1 binary64) z)
cost-diff	256	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))

Rules

148×	`lower-fma.f32`
144×	`lower-fma.f64`
52×	`lower-+.f32`
50×	`lower-+.f64`
46×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	96
0	29	96
1	52	94
2	89	94
3	134	94
4	195	94
5	195	94
0	195	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (1%)

Memory

37.9MiB live, 76.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(*.f64 (+.f64 x y) z)
accuracy	30.6069893301669	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 x y) z))
accuracy	0	(fma.f64 z y y)
accuracy	30.20501215241288	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
accuracy	0	(fma.f64 x z x)
accuracy	32.02585936565805	#s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x))
accuracy	0	(+.f64 x y)
accuracy	32.622042718802845	#s(approx (* (+ x y) (+ z 1)) (+.f64 x y))
accuracy	0	(fma.f64 z x x)
accuracy	0	(+.f64 #s(literal 1 binary64) z)
accuracy	1.0038952404222408	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))

Samples

30.0ms

256×

valid

Compiler

Compiled 83 to 19 computations (77.1% saved)

Precisions

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

ival-mult: 9.0ms (52.8% of total)

ival-add: 8.0ms (46.9% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.4%)

Memory

-1.1MiB live, 36.7MiB allocated

Counts

11 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(+ (* (+ 1 z) y) (+ (* z x) x))
1.0ms	z	@	0	(* (+ x y) z)
1.0ms	z	@	-inf	(+ (* (+ 1 z) y) (+ (* z x) x))
0.0ms	z	@	0	(+ (* (+ 1 z) y) (+ (* z x) x))
0.0ms	y	@	-inf	(+ (* (+ 1 z) y) (+ (* z x) x))

simplify184.0ms (3.8%)

Memory

-5.5MiB live, 227.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 641×	`lower-fma.f64`
5 641×	`lower-fma.f32`
1 527×	`lower--.f64`
1 527×	`lower--.f32`
1 229×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2024
1	443	1754
2	1345	1754
3	4030	1754
4	6755	1754
0	8297	1661

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 313

Calls

Call 1

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

rewrite368.0ms (7.7%)

Memory

-17.9MiB live, 386.9MiB allocated

Rules

2 371×	`lower-*.f32`
2 370×	`lower-*.f64`
2 302×	`lower-/.f64`
2 302×	`lower-/.f32`
1 774×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	80
0	29	80
1	130	78
2	1093	78
0	8158	78

Stop Event

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

Counts

11 → 846

Calls

Call 1

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

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

eval208.0ms (4.3%)

Memory: 37.7MiB live, 338.0MiB allocated
Compiler: Compiled 39 694 to 2 468 computations (93.8% saved)

prune232.0ms (4.8%)

Memory

-3.6MiB live, 442.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 219	3	1 222
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 220	8	1 228

Accuracy

100.0%

Counts

1 228 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
▶	50.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	52.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	50.0%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x))
✓	49.0%	#s(approx (* (+ x y) (+ z 1)) (+.f64 x y))
✓	52.2%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 x y) z))
▶	27.0%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
▶	28.1%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (*.f64 z x)))

Compiler

Compiled 68 to 37 computations (45.6% saved)

simplify9.0ms (0.2%)

Memory

-20.7MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

148×	`lower-fma.f32`
147×	`lower-fma.f64`
52×	`lower-+.f64`
52×	`lower-+.f32`
46×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	24	88
1	41	86
2	64	86
3	109	86
4	231	86
5	279	86
6	279	86
0	279	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (1.6%)

Memory

26.2MiB live, 68.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x z)
accuracy	1.0038952404222408	(fma.f64 z y (*.f64 x z))
accuracy	30.6069893301669	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
accuracy	0	(*.f64 z y)
accuracy	30.20501215241288	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
accuracy	30.397956251621885	#s(approx (+ (* z y) y) (*.f64 z y))
accuracy	0	(*.f64 z x)
accuracy	30.338195516865515	#s(approx (+ (* x z) x) (*.f64 z x))
accuracy	32.02585936565805	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (*.f64 z x)))

Samples

65.0ms

256×

valid

Compiler

Compiled 56 to 15 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-add: 49.0ms (87.7% of total)

ival-mult: 6.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-20.1MiB live, 19.4MiB allocated

Counts

9 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

simplify167.0ms (3.5%)

Memory

-3.0MiB live, 169.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 551×	`lower-fma.f64`
5 551×	`lower-fma.f32`
1 488×	`lower-*.f64`
1 488×	`lower-*.f32`
604×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1304
1	323	1304
2	1004	1304
3	3051	1304
4	5963	1304
0	8080	1244

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

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

rewrite607.0ms (12.7%)

Memory

15.1MiB live, 195.7MiB allocated

Rules

5 091×	`lower-fma.f32`
5 090×	`lower-fma.f64`
2 756×	`lower-*.f32`
2 753×	`lower-*.f64`
1 741×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
0	24	81
1	94	79
2	716	79
0	8403	75

Stop Event

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

Counts

9 → 99

Calls

Call 1

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

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

eval75.0ms (1.6%)

Memory: -17.8MiB live, 70.1MiB allocated
Compiler: Compiled 3 775 to 225 computations (94% saved)

prune26.0ms (0.5%)

Memory

22.2MiB live, 59.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	361	0	361
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	361	8	369

Accuracy

100.0%

Counts

369 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓	50.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	52.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	50.0%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x))
✓	49.0%	#s(approx (* (+ x y) (+ z 1)) (+.f64 x y))
✓	52.2%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 x y) z))
✓	27.0%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
✓	28.1%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (*.f64 z x)))

Compiler

Compiled 124 to 54 computations (56.5% saved)

regimes24.0ms (0.5%)

Memory

7.3MiB live, 43.5MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes20.0ms (0.4%)

Memory

0.6MiB live, 38.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(+.f64 x y)
3.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
84.0%	2	`x`
83.1%	2	`y`
97.7%	3	`z`
85.2%	4	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
98.1%	2	`(+.f64 x y)`
97.7%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes18.0ms (0.4%)

Memory

-14.6MiB live, 30.9MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
69.6%	3	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
69.0%	2	`y`
71.6%	4	`x`
81.5%	4	`z`
81.5%	4	`(+.f64 z #s(literal 1 binary64))`
77.9%	3	`(+.f64 x y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
79.3%	3	`z`
79.3%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.2%)

Memory

-23.9MiB live, 12.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(+.f64 x y)
2.0ms	z
1.0ms	(+.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
52.9%	2	`(+.f64 x y)`
73.9%	3	`z`
73.9%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes8.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
49.0%	1	`(+.f64 x y)`
49.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
49.0%	1	`x`
49.0%	1	`y`
49.0%	1	`z`
49.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0000029504779189	1.0003694026071315
0.0ms	0.9999983461091521	0.9999999999930382
0.0ms	-1.5763593308543584e+28	-255835551175431.06

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	512689970851.62036	14545702263815020.0
0.0ms	-218081.60199130359	0.9999983461091521

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	512689970851.62036	14545702263815020.0
0.0ms	-218081.60199130359	0.9999983461091521

Compiler

Compiled 13 to 13 computations (0% saved)

simplify9.0ms (0.2%)

Memory

-18.1MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	232
1	52	232

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -825460204899477/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -9999999999999999583119736832 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 9007190247541737/9007199254740992 binary64)) #s(approx ( (+ x y) (+ z 1)) (fma.f64 x z x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2252250173647985/2251799813685248 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (*.f64 z x)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (.f64 z x))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (*.f64 z x)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 x y))

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -825460204899477/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 y x) #s(literal -825460204899477/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -9999999999999999583119736832 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 9007190247541737/9007199254740992 binary64)) #s(approx ( (+ x y) (+ z 1)) (fma.f64 x z x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2252250173647985/2251799813685248 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -9999999999999999583119736832 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 9007190247541737/9007199254740992 binary64)) #s(approx ( (+ x y) (+ z 1)) (fma.f64 x z x)) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2252250173647985/2251799813685248 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (*.f64 z x)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -200000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (*.f64 z x)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (.f64 z x))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (*.f64 z x)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -200000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (.f64 z x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1000000000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* x z) x) (*.f64 z x)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 x y))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

soundness775.0ms (16.2%)

Memory

-12.9MiB live, 361.3MiB allocated

Rules

5 641×	`lower-fma.f64`
5 641×	`lower-fma.f32`
5 527×	`lower-fma.f64`
5 527×	`lower-fma.f32`
1 527×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	322
1	219	322
2	730	322
3	2461	322
4	4974	322
5	7661	322
0	8239	316
0	120	2024
1	443	1754
2	1345	1754
3	4030	1754
4	6755	1754
0	8297	1661

Stop Event

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

Compiler

Compiled 204 to 86 computations (57.8% saved)

preprocess62.0ms (1.3%)

Memory: 15.7MiB live, 127.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 318 to 116 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample757.0ms (15.8%)

explain102.0ms (2.1%)

preprocess167.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize47.0ms (1%)

series5.0ms (0.1%)

simplify262.0ms (5.5%)

rewrite242.0ms (5.1%)

eval129.0ms (2.7%)

prune84.0ms (1.7%)

simplify29.0ms (0.6%)

localize50.0ms (1%)

series18.0ms (0.4%)

simplify184.0ms (3.8%)

rewrite368.0ms (7.7%)

eval208.0ms (4.3%)

prune232.0ms (4.8%)

simplify9.0ms (0.2%)

localize78.0ms (1.6%)

series10.0ms (0.2%)

simplify167.0ms (3.5%)

rewrite607.0ms (12.7%)

eval75.0ms (1.6%)

prune26.0ms (0.5%)

regimes24.0ms (0.5%)

regimes20.0ms (0.4%)

regimes18.0ms (0.4%)

regimes4.0ms (0.1%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness775.0ms (16.2%)

preprocess62.0ms (1.3%)

end0.0ms (0%)

Profiling