Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample585.0ms (14.6%)

Memory

16.8MiB live, 791.8MiB allocated

Samples

332.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 106.0ms (67.6% of total)

ival-sub: 38.0ms (24.2% of total)

ival-true: 6.0ms (3.8% of total)

exact: 4.0ms (2.6% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain85.0ms (2.1%)

Memory

-17.3MiB live, 104.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-mult: 6.0ms (62.5% of total)

ival-sub: 2.0ms (20.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess50.0ms (1.2%)

Memory

20.1MiB live, 58.1MiB allocated

Algorithm

1×	egg-herbie

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
174×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	69
1	69	63
2	165	63
3	407	63
4	772	63
5	970	63
6	1030	63
7	1030	63
0	7	7
0	10	7
1	16	7
2	28	7
3	36	7
4	63	7
5	106	7
6	190	7
7	312	7
8	404	7
9	429	7
10	437	7
0	437	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))

Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify17.0ms (0.4%)

Memory

-7.3MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
cost-diff	0	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 y (.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
z

localize45.0ms (1.1%)

Memory

-5.6MiB live, 33.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.203125	(.f64 (.f64 x #s(literal 3 binary64)) y)

Samples

41.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (64.9% of total)

ival-sub: 1.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())

#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms	y	@	inf	((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms	x	@	0	((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms	x	@	-inf	((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms	y	@	0	((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))

simplify102.0ms (2.5%)

Memory

23.0MiB live, 103.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`lower-fma.f64`
3 552×	`lower-fma.f32`
2 734×	`lower-*.f64`
2 734×	`lower-*.f32`
1 562×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	378
1	118	378
2	334	378
3	838	378
4	2379	378
5	4087	378
6	6030	378
7	7461	378
8	7976	378
0	8001	378

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

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

rewrite179.0ms (4.5%)

Memory

-2.0MiB live, 227.7MiB allocated

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
4 312×	`lower-*.f32`
4 308×	`lower-*.f64`
3 816×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	28	15
2	184	15
3	1862	15
0	8723	15

Stop Event

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

Counts

3 → 256

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))

Outputs
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eval457.0ms (11.4%)

Memory: -60.2MiB live, 104.1MiB allocated
Compiler: Compiled 10 183 to 716 computations (93% saved)

prune7.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	324	4	328
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	324	5	329

Accuracy

100.0%

Counts

329 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
▶	99.9%	(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	46.6%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
▶	55.4%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 30 to 33 computations (-10% saved)

simplify35.0ms (0.9%)

Memory

-19.1MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) x)
cost-diff	0	(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) #s(literal 3 binary64))
cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Rules

304×	`lower-fma.f32`
302×	`lower-fma.f64`
224×	`lower-*.f32`
216×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
0	23	72
1	40	72
2	46	72
3	74	72
4	117	72
5	201	72
6	320	72
7	412	72
8	437	72
9	445	72
0	445	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
z
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(neg.f64 z)
z

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

localize40.0ms (1%)

Memory

26.8MiB live, 67.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	0.09765625	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
accuracy	0	(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.16015625	(.f64 (.f64 y #s(literal 3 binary64)) x)
accuracy	0	(*.f64 y x)
accuracy	0.2265625	(.f64 (.f64 y x) #s(literal 3 binary64))
accuracy	34.07900723036019	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
accuracy	0	(neg.f64 z)
accuracy	28.522294174618615	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Samples

30.0ms

256×

valid

Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions

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

ival-mult: 15.0ms (77.4% of total)

ival-sub: 2.0ms (10.3% of total)

ival-add: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

-18.5MiB live, 18.5MiB allocated

Counts

9 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y x) #s(literal 3 binary64)) (patch (.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 y x) #s(literal 3 binary64)) (patch (.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
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#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) #s(literal 3 binary64)) (patch (.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) #s(literal 3 binary64)) (patch (.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) #s(literal 3 binary64)) (patch (.f64 (.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) #s(literal 3 binary64)) (patch (.f64 (.f64 y x) #s(literal 3 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>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) (patch (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	((- (* (* x 3) y) z) (neg z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) (neg z)))
1.0ms	y	@	-inf	((- (* (* x 3) y) z) (neg z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) (neg z)))
1.0ms	x	@	-inf	((- (* (* x 3) y) z) (neg z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) (neg z)))
1.0ms	y	@	inf	((- (* (* x 3) y) z) (neg z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) (neg z)))
1.0ms	y	@	0	((- (* (* x 3) y) z) (neg z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (- (* (* y 3) x) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) (neg z)))

simplify517.0ms (12.9%)

Memory

16.3MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`lower-fma.f64`
3 552×	`lower-fma.f32`
2 734×	`lower-*.f64`
2 734×	`lower-*.f32`
1 560×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	1260
1	118	1260
2	333	1260
3	836	1260
4	2377	1260
5	4094	1260
6	6035	1260
7	7463	1260
8	7980	1260
0	8005	1260

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))

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

rewrite156.0ms (3.9%)

Memory

-25.7MiB live, 167.6MiB allocated

Rules

6 120×	`lower-fma.f32`
6 118×	`lower-fma.f64`
5 236×	`lower-*.f32`
5 228×	`lower-*.f64`
2 296×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	55
0	23	55
1	82	55
2	389	49
3	4143	49
0	8773	49

Stop Event

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

Counts

9 → 421

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
(.f64 (.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))

Outputs
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eval100.0ms (2.5%)

Memory: 10.5MiB live, 166.4MiB allocated
Compiler: Compiled 13 473 to 693 computations (94.9% saved)

prune49.0ms (1.2%)

Memory

26.7MiB live, 64.8MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	729	3	732
Fresh	0	0	0
Picked	0	4	4
Done	1	0	1
Total	730	7	737

Accuracy

100.0%

Counts

737 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
✓	99.9%	(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
✓	46.6%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
▶	46.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
▶	46.6%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
✓	55.4%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
▶	2.0%	#s(approx (- (* (* x 3) y) z) z)

Compiler

Compiled 37 to 44 computations (-18.9% saved)

simplify51.0ms (1.3%)

Memory

-19.4MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x) y)
cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
cost-diff	0	#s(approx (- (* (* x 3) y) z) z)

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
216×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
0	18	58
1	28	58
2	37	58
3	43	58
4	71	58
5	114	58
6	198	58
7	317	58
8	408	58
9	433	58
10	441	58
0	441	58

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) z)
z
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x

Outputs
#s(approx (- (* (* x 3) y) z) z)
z
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x

localize35.0ms (0.9%)

Memory

2.4MiB live, 83.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	0.16015625	(.f64 (.f64 y #s(literal 3 binary64)) x)
accuracy	34.07900723036019	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.203125	(.f64 (.f64 #s(literal 3 binary64) x) y)
accuracy	34.07900723036019	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
accuracy	62.69376432509817	#s(approx (- (* (* x 3) y) z) z)

Samples

26.0ms

256×

valid

Compiler

Compiled 46 to 13 computations (71.7% saved)

Precisions

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

ival-mult: 11.0ms (90.1% of total)

ival-sub: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

7 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 3 binary64)) (patch (.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 y #s(literal 3 binary64)) x) (patch (.f64 (.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3))
1.0ms	x	@	inf	((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3))
1.0ms	y	@	inf	((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3))
0.0ms	y	@	-inf	((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3))
0.0ms	y	@	0	((- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* 3 x) y) (* 3 x) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3))

simplify115.0ms (2.9%)

Memory

-3.1MiB live, 119.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`lower-fma.f64`
3 552×	`lower-fma.f32`
2 734×	`lower-*.f64`
2 734×	`lower-*.f32`
1 560×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	978
1	118	978
2	333	978
3	836	978
4	2377	978
5	4094	978
6	6035	978
7	7463	978
8	7980	978
0	8005	978

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))

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

rewrite221.0ms (5.5%)

Memory

14.9MiB live, 165.0MiB allocated

Rules

11 484×	`lower-fma.f64`
11 484×	`lower-fma.f32`
4 738×	`lower-*.f32`
4 730×	`lower-*.f64`
3 632×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	18	51
1	39	51
2	214	51
3	2032	51
0	8358	51

Stop Event

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

Counts

7 → 49

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
(.f64 (.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval34.0ms (0.9%)

Memory: -17.4MiB live, 55.4MiB allocated
Compiler: Compiled 1 672 to 90 computations (94.6% saved)

prune15.0ms (0.4%)

Memory

5.1MiB live, 43.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	229	7	236

Accuracy

100.0%

Counts

236 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
✓	99.9%	(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
✓	46.6%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
✓	46.7%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
✓	46.6%	#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
✓	55.4%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
✓	2.0%	#s(approx (- (* (* x 3) y) z) z)

Compiler

Compiled 81 to 65 computations (19.8% saved)

regimes27.0ms (0.7%)

Memory

-14.2MiB live, 43.8MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))

Outputs
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)

Calls

6 calls:

10.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
3.0ms	z
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes34.0ms (0.9%)

Memory

3.3MiB live, 42.0MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Calls

6 calls:

20.0ms	z
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes16.0ms (0.4%)

Memory

2.3MiB live, 39.9MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y x) #s(literal 3 binary64)))

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))

Calls

6 calls:

4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	z
2.0ms	y
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	x

Results

Accuracy	Segments	Branch
72.3%	3	`x`
78.2%	3	`y`
74.7%	3	`z`
66.1%	3	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
83.2%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
72.3%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))

Calls

1 calls:

2.0ms

(*.f64 (*.f64 x #s(literal 3 binary64)) y)

Results

Accuracy	Segments	Branch
83.1%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 5 to 6 computations (-20% saved)

regimes11.0ms (0.3%)

Memory

-6.4MiB live, 31.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Calls

6 calls:

3.0ms	z
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
55.4%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
55.4%	1	`x`
55.4%	1	`(*.f64 x #s(literal 3 binary64))`
55.4%	1	`z`
55.4%	1	`y`
55.4%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes12.0ms (0.3%)

Memory

-10.5MiB live, 29.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) z)

Outputs
#s(approx (- (* (* x 3) y) z) z)

Calls

6 calls:

5.0ms	z
1.0ms	(*.f64 x #s(literal 3 binary64))
1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)
1.0ms	x

Results

Accuracy	Segments	Branch
2.0%	1	`x`
2.0%	1	`z`
2.0%	1	`(*.f64 x #s(literal 3 binary64))`
2.0%	1	`y`
2.0%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
2.0%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.953375054441325e+101	5.937187926047535e+105
0.0ms	-11780746004.221807	-165236222.00908443

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.953375054441325e+101	5.937187926047535e+105
0.0ms	-11780746004.221807	-165236222.00908443

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify25.0ms (0.6%)

Memory

-5.5MiB live, 71.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	137
1	39	137
2	43	137
3	44	137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -10000000000 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -10000000000 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)

Outputs
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) x) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -10000000000 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -10000000000 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y))) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -10000000000 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 #s(literal 3 binary64) x) y))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -10000000000 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 (.f64 x #s(literal 3 binary64)) y))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)

soundness904.0ms (22.5%)

Memory

42.5MiB live, 435.2MiB allocated

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
6 120×	`lower-fma.f32`
6 118×	`lower-fma.f64`
5 236×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	28	15
2	184	15
3	1862	15
0	8723	15
0	16	55
0	23	55
1	82	55
2	389	49
3	4143	49
0	8773	49
0	38	378
1	118	378
2	334	378
3	838	378
4	2379	378
5	4087	378
6	6030	378
7	7461	378
8	7976	378
0	8001	378

Stop Event

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

Compiler

Compiled 128 to 80 computations (37.5% saved)

preprocess60.0ms (1.5%)

Memory: -3.7MiB live, 160.1MiB allocated
Compiler: Compiled 232 to 116 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Iter	Nodes	Cost
0	16	72
0	23	72
1	40	72
2	46	72
3	74	72
4	117	72
5	201	72
6	320	72
7	412	72
8	437	72
9	445	72
0	445	72

Iter	Nodes	Cost
0	14	58
0	18	58
1	28	58
2	37	58
3	43	58
4	71	58
5	114	58
6	198	58
7	317	58
8	408	58
9	433	58
10	441	58
0	441	58

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Iter	Nodes	Cost
0	16	72
0	23	72
1	40	72
2	46	72
3	74	72
4	117	72
5	201	72
6	320	72
7	412	72
8	437	72
9	445	72
0	445	72

Iter	Nodes	Cost
0	14	58
0	18	58
1	28	58
2	37	58
3	43	58
4	71	58
5	114	58
6	198	58
7	317	58
8	408	58
9	433	58
10	441	58
0	441	58

start0.0ms (0%)

analyze0.0ms (0%)

sample585.0ms (14.6%)

explain85.0ms (2.1%)

preprocess50.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify17.0ms (0.4%)

localize45.0ms (1.1%)

series7.0ms (0.2%)

simplify102.0ms (2.5%)

rewrite179.0ms (4.5%)

eval457.0ms (11.4%)

prune7.0ms (0.2%)

simplify35.0ms (0.9%)

localize40.0ms (1%)

series12.0ms (0.3%)

simplify517.0ms (12.9%)

rewrite156.0ms (3.9%)

eval100.0ms (2.5%)

prune49.0ms (1.2%)

simplify51.0ms (1.3%)

localize35.0ms (0.9%)

series8.0ms (0.2%)

simplify115.0ms (2.9%)

rewrite221.0ms (5.5%)

eval34.0ms (0.9%)

prune15.0ms (0.4%)

regimes27.0ms (0.7%)

regimes34.0ms (0.9%)

regimes16.0ms (0.4%)

regimes2.0ms (0.1%)

regimes11.0ms (0.3%)

regimes12.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify25.0ms (0.6%)

soundness904.0ms (22.5%)

preprocess60.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Iter	Nodes	Cost
0	16	72
0	23	72
1	40	72
2	46	72
3	74	72
4	117	72
5	201	72
6	320	72
7	412	72
8	437	72
9	445	72
0	445	72

Iter	Nodes	Cost
0	14	58
0	18	58
1	28	58
2	37	58
3	43	58
4	71	58
5	114	58
6	198	58
7	317	58
8	408	58
9	433	58
10	441	58
0	441	58