Metrics for Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample782.0ms (15.9%)

Memory

1.8MiB live, 1 208.2MiB allocated

Samples

537.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 336.0ms

ival-mult: 192.0ms (57.2% of total)

ival-sub: 78.0ms (23.2% of total)

ival-add: 51.0ms (15.2% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain79.0ms (1.6%)

Memory

-19.4MiB live, 140.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	28
↳	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`	overflow	40

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-mult: 7.0ms (56.6% of total)

ival-sub: 3.0ms (24.3% of total)

ival-add: 2.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess84.0ms (1.7%)

Memory

12.5MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
390×	`distribute-rgt-in`
370×	`unsub-neg`
314×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	83
2	178	81
3	482	66
4	1083	64
5	1866	64
6	2292	64
7	2354	64
8	2362	64
9	2362	64
0	8	9
0	12	9
1	20	9
2	27	9
3	39	7
4	50	7
5	68	7
6	111	7
7	182	7
8	370	7
9	580	7
10	670	7
11	680	7
0	680	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify21.0ms (0.4%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
cost-diff	0	(*.f64 x y)
cost-diff	320	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.9%)

Memory

-1.4MiB live, 36.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy	0.8476541858302059	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Samples

39.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (49% of total)

ival-sub: 1.0ms (16.3% of total)

ival-add: 1.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

-33.0MiB live, 15.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))
1.0ms	x	@	inf	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))
1.0ms	z	@	inf	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))
1.0ms	y	@	0	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))
1.0ms	z	@	0	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))

simplify141.0ms (2.9%)

Memory

29.5MiB live, 186.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 326×	`lower-fma.f64`
9 326×	`lower-fma.f32`
3 218×	`lower-*.f64`
3 218×	`lower-*.f32`
1 186×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	494
1	180	440
2	532	440
3	1339	440
4	4403	440
0	8080	440

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite316.0ms (6.4%)

Memory

4.8MiB live, 387.9MiB allocated

Rules

6 732×	`lower-*.f32`
6 728×	`lower-*.f64`
4 784×	`lower-fma.f64`
4 784×	`lower-fma.f32`
4 232×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	45	20
2	311	20
3	3854	20
0	10409	19

Stop Event

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

Counts

4 → 280

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64))) (hypot.f64 (pow.f64 (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (.f64 z (-.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (.f64 z (-.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (.f64 y x)))
(.f64 (-.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) #s(literal -1 binary64)))
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eval182.0ms (3.7%)

Memory: -3.4MiB live, 93.1MiB allocated
Compiler: Compiled 7 764 to 1 014 computations (86.9% saved)

prune12.0ms (0.2%)

Memory

-2.0MiB live, 34.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	366	8	374
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	367	8	375

Accuracy

100.0%

Counts

375 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (-.f64 x #s(literal 1 binary64)) z (*.f64 y x))
	68.7%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (*.f64 z x)))
▶	71.0%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
▶	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
	61.3%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
▶	70.2%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
	42.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
▶	30.7%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))

Compiler

Compiled 100 to 102 computations (-2% saved)

simplify33.0ms (0.7%)

Memory

-3.1MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	192	(fma.f64 (-.f64 x #s(literal 1 binary64)) z (*.f64 y x))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (* (- x 1) z) (neg.f64 z))
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
cost-diff	0	(+.f64 z y)
cost-diff	0	(*.f64 (+.f64 z y) x)
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
cost-diff	0	(neg.f64 z)
cost-diff	0	(+.f64 z y)
cost-diff	0	(fma.f64 (+.f64 z y) x (neg.f64 z))
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))

Rules

688×	`lower-fma.f32`
684×	`lower-fma.f64`
272×	`lower-*.f32`
266×	`lower-*.f64`
176×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	119
0	31	115
1	47	115
2	63	112
3	112	112
4	182	112
5	321	112
6	634	112
7	821	112
8	890	112
9	911	112
10	930	112
11	944	112
12	947	112
0	947	111

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (2%)

Memory

-8.8MiB live, 72.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.49999449521112044	(fma.f64 (-.f64 x #s(literal 1 binary64)) z (*.f64 y x))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	0.8476541858302059	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
accuracy	35.649438134590696	#s(approx (* (- x 1) z) (neg.f64 z))
accuracy	0	(+.f64 z y)
accuracy	0.01171875	(*.f64 (+.f64 z y) x)
accuracy	19.05001121843063	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
accuracy	0	(neg.f64 z)
accuracy	44.36115307594514	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
accuracy	0	(+.f64 z y)
accuracy	0	(neg.f64 z)
accuracy	0	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
accuracy	0.015625	(fma.f64 (+.f64 z y) x (neg.f64 z))

Samples

85.0ms

256×

valid

Compiler

Compiled 100 to 16 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-add: 60.0ms (87.2% of total)

ival-mult: 6.0ms (8.7% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

13 → 372

Calls

Call 1

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

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

Calls

9 calls:

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

simplify150.0ms (3.1%)

Memory

-17.1MiB live, 207.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 730×	`lower-fma.f64`
6 730×	`lower-fma.f32`
2 746×	`lower-*.f64`
2 746×	`lower-*.f32`
1 262×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	2213
1	346	1889
2	1017	1889
3	2559	1889
4	5278	1889
5	7095	1889
0	8083	1889

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 364

Calls

Call 1

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

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

rewrite444.0ms (9%)

Memory

-7.0MiB live, 285.8MiB allocated

Rules

7 914×	`lower-fma.f32`
7 910×	`lower-fma.f64`
4 738×	`lower-*.f32`
4 732×	`lower-*.f64`
3 262×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	98
0	31	94
1	121	94
2	851	81
0	9391	78

Stop Event

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

Counts

13 → 598

Calls

Call 1

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

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

eval250.0ms (5.1%)

Memory: 15.7MiB live, 242.5MiB allocated
Compiler: Compiled 17 177 to 1 618 computations (90.6% saved)

prune70.0ms (1.4%)

Memory

6.8MiB live, 89.5MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 084	5	1 089
Fresh	3	0	3
Picked	0	5	5
Done	0	0	0
Total	1 087	10	1 097

Accuracy

100.0%

Counts

1 097 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (-.f64 x #s(literal 1 binary64)) z (*.f64 y x))
✓	71.0%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
▶	61.3%	#s(approx (+ (* (- x 1) z) (* y x)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
▶	42.5%	#s(approx (+ (* (- x 1) z) (* y x)) (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
▶	69.5%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
✓	70.2%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
✓	30.7%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
▶	32.6%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (*.f64 z x)))
▶	2.5%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 80 to 88 computations (-10% saved)

simplify27.0ms (0.5%)

Memory

9.7MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
cost-diff	0	#s(approx (+ (* (- x 1) z) (* y x)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* (- x 1) z) (* y x)) (*.f64 y x))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* (+ z y) x) (*.f64 z x))
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (*.f64 z x)))
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
cost-diff	192	(fma.f64 z x (*.f64 y x))

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	117
0	28	115
1	43	115
2	48	110
3	57	105
4	65	105
5	80	105
6	124	105
7	197	105
8	383	105
9	588	105
10	678	105
11	688	105
0	688	105

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.9%)

Memory

-1.5MiB live, 119.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy	24.778071427392085	#s(approx (+ (* (- x 1) z) (* y x)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
accuracy	0	(*.f64 y x)
accuracy	36.7883778948237	#s(approx (+ (* (- x 1) z) (* y x)) (*.f64 y x))
accuracy	0	(*.f64 z x)
accuracy	19.05001121843063	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (*.f64 z x)))
accuracy	28.93233311978478	#s(approx (* (+ z y) x) (*.f64 z x))
accuracy	62.40153297878639	#s(approx (+ (* x y) (* (- x 1) z)) z)
accuracy	0	(*.f64 y x)
accuracy	0.5039007452111204	(fma.f64 z x (*.f64 y x))
accuracy	19.05001121843063	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))

Samples

32.0ms

256×

valid

Compiler

Compiled 87 to 16 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 13.0ms (68.6% of total)

ival-add: 4.0ms (21.1% of total)

ival-sub: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

11.1MiB live, 50.0MiB allocated

Counts

11 → 336

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((+ (* z x) (* y x)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (* z x) (+ (* (- x 1) z) (* y x)) (+ (* (- x 1) z) (* y x)) (* (- x 1) z) (- x 1))
1.0ms	x	@	-inf	((+ (* z x) (* y x)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (* z x) (+ (* (- x 1) z) (* y x)) (+ (* (- x 1) z) (* y x)) (* (- x 1) z) (- x 1))
1.0ms	z	@	-inf	((+ (* z x) (* y x)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (* z x) (+ (* (- x 1) z) (* y x)) (+ (* (- x 1) z) (* y x)) (* (- x 1) z) (- x 1))
1.0ms	x	@	inf	((+ (* z x) (* y x)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (* z x) (+ (* (- x 1) z) (* y x)) (+ (* (- x 1) z) (* y x)) (* (- x 1) z) (- x 1))
1.0ms	z	@	inf	((+ (* z x) (* y x)) (+ (* x y) (* (- x 1) z)) (* y x) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (* z x) (+ (* (- x 1) z) (* y x)) (+ (* (- x 1) z) (* y x)) (* (- x 1) z) (- x 1))

simplify149.0ms (3%)

Memory

-45.1MiB live, 173.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 054×	`lower-fma.f64`
9 054×	`lower-fma.f32`
2 902×	`lower-*.f64`
2 902×	`lower-*.f32`
1 530×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	2018
1	231	1748
2	690	1748
3	1679	1748
4	5181	1748
5	7893	1748
0	8279	1748

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 334

Calls

Call 1

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

rewrite211.0ms (4.3%)

Memory

27.0MiB live, 418.5MiB allocated

Rules

11 274×	`lower-fma.f32`
11 272×	`lower-fma.f64`
5 748×	`lower-*.f32`
5 742×	`lower-*.f64`
3 520×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	103
0	28	101
1	105	101
2	674	96
0	8279	91

Stop Event

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

Counts

11 → 250

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (*.f64 (-.f64 y z) y)))
(.f64 (/.f64 (.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) x) (+.f64 (pow.f64 (.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y z) y) (-.f64 (.f64 (-.f64 y z) y) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 z y) (+.f64 y z)) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (hypot.f64 y z) (.f64 y z)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 z y) (+.f64 y z)) x) (.f64 (-.f64 z y) (+.f64 y z))) (+.f64 y z))
(.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 y z) x) x) (-.f64 z y)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (.f64 (.f64 x x) y) (+.f64 y z) (pow.f64 (.f64 x z) #s(literal 2 binary64))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 x z) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (.f64 x z) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x x) y) (-.f64 y z))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 x z) #s(literal 3/2 binary64))) (hypot.f64 (pow.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y z)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x z) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y z)) (-.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y z)) (pow.f64 (.f64 x z) #s(literal 2 binary64))) (pow.f64 (*.f64 x z) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 y z) x) x) (-.f64 z y)) (.f64 (.f64 (.f64 (+.f64 y z) x) x) (-.f64 z y))) (.f64 (+.f64 y z) x))
(.f64 (.f64 (+.f64 y z) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 (+.f64 y z) x) x) (/.f64 (*.f64 (-.f64 z y) x) (-.f64 z y)))
(.f64 (.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) x) (pow.f64 (-.f64 (hypot.f64 y z) (*.f64 y z)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 z y) (+.f64 y z)) x) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z))))
(.f64 (pow.f64 (.f64 (-.f64 z y) x) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (+.f64 y z) x) x) (-.f64 z y)))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 x x) y) (-.f64 y z) (pow.f64 (.f64 x z) #s(literal 2 binary64))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 x z) #s(literal 3/2 binary64))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 (+.f64 y z) x) x) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 z y))))
(.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 x z) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) y) (-.f64 y z) (pow.f64 (.f64 x z) #s(literal 2 binary64))))))
(.f64 (.f64 (-.f64 z y) (+.f64 y z)) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) x))
(.f64 (.f64 (-.f64 z y) (+.f64 y z)) (/.f64 x (-.f64 z y)))
(.f64 (.f64 (.f64 (.f64 (+.f64 y z) x) x) (-.f64 z y)) (pow.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64)))
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(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
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(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
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(-.f64 x #s(literal 1 binary64))
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(+.f64 #s(literal -1 binary64) x)
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eval95.0ms (1.9%)

Memory: -20.7MiB live, 186.8MiB allocated
Compiler: Compiled 7 439 to 975 computations (86.9% saved)

prune21.0ms (0.4%)

Memory

-14.4MiB live, 72.8MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	614	0	614
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	614	10	624

Accuracy

100.0%

Counts

624 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (-.f64 x #s(literal 1 binary64)) z (*.f64 y x))
✓	71.0%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
✓	61.3%	#s(approx (+ (* (- x 1) z) (* y x)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
✓	42.5%	#s(approx (+ (* (- x 1) z) (* y x)) (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
✓	69.5%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
✓	70.2%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
✓	30.7%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
✓	32.6%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (*.f64 z x)))
✓	2.5%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 139 to 91 computations (34.5% saved)

regimes21.0ms (0.4%)

Memory

16.3MiB live, 55.7MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	y
5.0ms	z
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
5.0ms	x

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes17.0ms (0.3%)

Memory

-2.4MiB live, 37.3MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

Accuracy	Segments	Branch
98.1%	3	`x`
88.7%	3	`y`
86.7%	3	`z`
83.6%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.6%)

Memory

-17.9MiB live, 21.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
84.3%	3	`z`
82.3%	3	`y`
85.8%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.8%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.0%	4	`y`
58.3%	6	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
60.4%	4	`z`
66.8%	5	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
36.6%	2	`y`
59.6%	3	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
30.7%	1	`y`
30.7%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
30.7%	1	`z`
30.7%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes25.0ms (0.5%)

Memory

-31.4MiB live, 8.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
2.5%	1	`x`
2.5%	1	`y`
2.5%	1	`z`
2.5%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch21.0ms (0.4%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.8197978742468864e-15	2.469259733635997e-12
9.0ms	-3.0410198335683445	-0.027572206248128204

Samples

11.0ms

240×

valid

Compiler

Compiled 214 to 239 computations (-11.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (53.9% of total)

ival-sub: 1.0ms (18% of total)

ival-add: 1.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8197978742468864e-15	2.469259733635997e-12
1.0ms	-3.0410198335683445	-0.027572206248128204

Compiler

Compiled 207 to 239 computations (-15.5% saved)

bsearch12.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.8197978742468864e-15	2.469259733635997e-12
6.0ms	-8.986650350707435e-14	-2.3075292751485278e-14

Samples

6.0ms

128×

valid

Compiler

Compiled 168 to 209 computations (-24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (67.2% of total)

ival-sub: 1.0ms (33.6% of total)

ival-add: 1.0ms (33.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.8197978742468864e-15	2.469259733635997e-12
0.0ms	-8.986650350707435e-14	-2.3075292751485278e-14

Samples

3.0ms

80×

valid

Compiler

Compiled 129 to 183 computations (-41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (56.8% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch212.0ms (4.3%)

Memory

-19.0MiB live, 17.2MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	4.272015043921368e+170	8.118059143281971e+179
1.0ms	1.8197978742468864e-15	2.469259733635997e-12
0.0ms	-8.986650350707435e-14	-2.3075292751485278e-14
197.0ms	-379657366159041.06	-2071057638693.1016

Samples

11.0ms

256×

valid

Compiler

Compiled 247 to 378 computations (-53% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (51% of total)

ival-sub: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.4%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.44988049999455465	4.400497295568233
9.0ms	-0.027572206248128204	-0.0004312795675106454

Samples

9.0ms

208×

valid

Compiler

Compiled 116 to 183 computations (-57.8% saved)

Precisions

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

ival-mult: 3.0ms (63.1% of total)

ival-sub: 1.0ms (21% of total)

ival-add: 1.0ms (21% of total)

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

exact: 0.0ms (0% of total)

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

simplify39.0ms (0.8%)

Memory

-9.1MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
10×	`+-commutative-binary64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	394
1	75	394
2	80	394
3	86	394

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (.f64 y x))) (if (<=.f64 x #s(literal 5942112188569825/2475880078570760549798248448 binary64)) (+.f64 (.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 5942112188569825/2475880078570760549798248448 binary64)) (+.f64 (.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -8239728901483491/158456325028528675187087900672 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 1064628433785427/618970019642690137449562112 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -8239728901483491/158456325028528675187087900672 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8318957063997755/9903520314283042199192993792 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -27000000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (.f64 z x))) (if (<=.f64 x #s(literal -8239728901483491/158456325028528675187087900672 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 8318957063997755/9903520314283042199192993792 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 20000000000000001653743257142116047352872553930304470672653068617665342788622713458745463328244347793434385285046531376697860133668799545398951154360213100458157779359629312 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (*.f64 z x)))))))
(if (<=.f64 x #s(literal -7782220156096217/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (.f64 z x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (.f64 y x))) (if (<=.f64 x #s(literal 5942112188569825/2475880078570760549798248448 binary64)) (+.f64 (.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (.f64 y x))) (if (<=.f64 x #s(literal 5942112188569825/2475880078570760549798248448 binary64)) (+.f64 #s(approx ( (- x 1) z) (neg.f64 z)) (.f64 y x)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 5942112188569825/2475880078570760549798248448 binary64)) (+.f64 (.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 5942112188569825/2475880078570760549798248448 binary64)) (+.f64 #s(approx ( (- x 1) z) (neg.f64 z)) (.f64 y x)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -8239728901483491/158456325028528675187087900672 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 1064628433785427/618970019642690137449562112 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -8239728901483491/158456325028528675187087900672 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8318957063997755/9903520314283042199192993792 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -27000000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (.f64 z x))) (if (<=.f64 x #s(literal -8239728901483491/158456325028528675187087900672 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 8318957063997755/9903520314283042199192993792 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 20000000000000001653743257142116047352872553930304470672653068617665342788622713458745463328244347793434385285046531376697860133668799545398951154360213100458157779359629312 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (*.f64 z x)))))))
(if (<=.f64 x #s(literal -7782220156096217/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (.f64 z x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (+ z y) x) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

soundness1.1s (23%)

Memory

11.3MiB live, 453.1MiB allocated

Rules

9 326×	`lower-fma.f64`
9 326×	`lower-fma.f32`
7 914×	`lower-fma.f32`
7 910×	`lower-fma.f64`
6 730×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	494
1	180	440
2	532	440
3	1339	440
4	4403	440
0	8080	440
0	100	2213
1	346	1889
2	1017	1889
3	2559	1889
4	5278	1889
5	7095	1889
0	8083	1889
0	21	98
0	31	94
1	121	94
2	851	81
0	9391	78

Stop Event

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

Compiler

Compiled 256 to 154 computations (39.8% saved)

preprocess50.0ms (1%)

Memory: -4.7MiB live, 150.9MiB allocated
Compiler: Compiled 368 to 124 computations (66.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Iter	Nodes	Cost
0	21	119
0	31	115
1	47	115
2	63	112
3	112	112
4	182	112
5	321	112
6	634	112
7	821	112
8	890	112
9	911	112
10	930	112
11	944	112
12	947	112
0	947	111

Iter	Nodes	Cost
0	23	117
0	28	115
1	43	115
2	48	110
3	57	105
4	65	105
5	80	105
6	124	105
7	197	105
8	383	105
9	588	105
10	678	105
11	688	105
0	688	105

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Iter	Nodes	Cost
0	21	119
0	31	115
1	47	115
2	63	112
3	112	112
4	182	112
5	321	112
6	634	112
7	821	112
8	890	112
9	911	112
10	930	112
11	944	112
12	947	112
0	947	111

Iter	Nodes	Cost
0	23	117
0	28	115
1	43	115
2	48	110
3	57	105
4	65	105
5	80	105
6	124	105
7	197	105
8	383	105
9	588	105
10	678	105
11	688	105
0	688	105

start0.0ms (0%)

analyze0.0ms (0%)

sample782.0ms (15.9%)

explain79.0ms (1.6%)

preprocess84.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.4%)

localize45.0ms (0.9%)

series19.0ms (0.4%)

simplify141.0ms (2.9%)

rewrite316.0ms (6.4%)

eval182.0ms (3.7%)

prune12.0ms (0.2%)

simplify33.0ms (0.7%)

localize97.0ms (2%)

series17.0ms (0.3%)

simplify150.0ms (3.1%)

rewrite444.0ms (9%)

eval250.0ms (5.1%)

prune70.0ms (1.4%)

simplify27.0ms (0.5%)

localize44.0ms (0.9%)

series16.0ms (0.3%)

simplify149.0ms (3%)

rewrite211.0ms (4.3%)

eval95.0ms (1.9%)

prune21.0ms (0.4%)

regimes21.0ms (0.4%)

regimes17.0ms (0.3%)

regimes4.0ms (0.1%)

regimes28.0ms (0.6%)

regimes3.0ms (0.1%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes25.0ms (0.5%)

bsearch21.0ms (0.4%)

bsearch2.0ms (0%)

bsearch12.0ms (0.2%)

bsearch8.0ms (0.2%)

bsearch212.0ms (4.3%)

bsearch19.0ms (0.4%)

simplify39.0ms (0.8%)

soundness1.1s (23%)

preprocess50.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Iter	Nodes	Cost
0	21	119
0	31	115
1	47	115
2	63	112
3	112	112
4	182	112
5	321	112
6	634	112
7	821	112
8	890	112
9	911	112
10	930	112
11	944	112
12	947	112
0	947	111

Iter	Nodes	Cost
0	23	117
0	28	115
1	43	115
2	48	110
3	57	105
4	65	105
5	80	105
6	124	105
7	197	105
8	383	105
9	588	105
10	678	105
11	688	105
0	688	105