Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample749.0ms (21.2%)

Memory

42.2MiB live, 899.5MiB allocated

Samples

472.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult: 138.0ms (61.9% of total)

ival-sub: 70.0ms (31.4% of total)

ival-true: 7.0ms (3.1% of total)

exact: 5.0ms (2.2% of total)

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

Bogosity

explain89.0ms (2.5%)

Memory

-5.9MiB live, 73.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
-	-	`(*.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 4 binary64)`
-	-	`z`
-	-	`(.f64 (.f64 y #s(literal 4 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

50.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 22.0ms (86% of total)

ival-sub: 2.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess68.0ms (1.9%)

Memory

-6.7MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	69
1	92	66
2	241	63
3	559	63
4	904	63
5	998	63
6	1012	63
7	1012	63
8	1012	63
0	7	7
0	10	7
1	19	7
2	49	7
3	99	7
4	131	7
5	170	7
6	221	7
7	263	7
8	348	7
9	400	7
10	430	7
0	430	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

Symmetry

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify13.0ms (0.4%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
cost-diff	128	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 z (.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
z

localize17.0ms (0.5%)

Memory

17.6MiB live, 17.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0.0078125	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Samples

12.0ms

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 (58.7% of total)

ival-sub: 1.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (1.1%)

Memory

-21.7MiB live, 15.7MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())

#s(alt (*.f64 (*.f64 y #s(literal 4 binary64)) z) (patch (*.f64 (*.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())

#s(alt (*.f64 y #s(literal 4 binary64)) (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -4 y)))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -4 y)))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -4 y)))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* 4 z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* 4 z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* 4 z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -4 z)))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -4 z)))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -4 z)))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 y #s(literal 4 binary64)) z) (patch (.f64 (.f64 y #s(literal 4 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (- x (* 4 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (- x (* 4 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (- x (* 4 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) (patch (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))

simplify295.0ms (8.3%)

Memory

3.7MiB live, 161.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	374
1	105	374
2	262	374
3	894	374
4	2564	374
5	4474	374
6	5491	374
7	5869	374
8	6083	374
9	6195	374
10	6237	374
0	8299	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 68

Calls

Call 1

Inputs
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* -4 (* y z))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* -4 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -4 (* y z))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -4 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 (* y z))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -4 (* y z))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))

Outputs
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)

rewrite301.0ms (8.5%)

Memory

14.7MiB live, 222.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	15
2	219	15
3	2118	15
0	8340	14

Stop Event

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

Counts

3 → 207

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))

Outputs
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eval49.0ms (1.4%)

Memory: 5.2MiB live, 43.8MiB allocated
Compiler: Compiled 8 646 to 640 computations (92.6% saved)

prune46.0ms (1.3%)

Memory

-23.9MiB live, 13.4MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	273	2	275
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	2	276

Accuracy

100.0%

Counts

276 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
▶	56.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify15.0ms (0.4%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -4 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x

localize39.0ms (1.1%)

Memory

-3.4MiB live, 34.1MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	0	(*.f64 z y)
accuracy	0.0078125	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	27.899777415233366	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Samples

32.0ms

256×

valid

Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 10.0ms (47.3% of total)

ival-mult: 9.0ms (42.5% of total)

ival-sub: 1.0ms (4.7% 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

10.3MiB live, 10.3MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) #s(literal -4 binary64)) (patch (.f64 (.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (patch (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	y	@	0	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))

simplify103.0ms (2.9%)

Memory

7.0MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	664
1	143	664
2	369	664
3	1010	664
4	2673	664
5	5459	664
6	7583	664
0	8102	610

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 124

Calls

Call 1

Inputs
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 (* y z))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -4 (* y z))
(* z (+ (* -4 y) (/ x z)))
(* z (+ (* -4 y) (/ x z)))
(* z (+ (* -4 y) (/ x z)))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -4 (* y z))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 (* y z))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -4 (* y z))
(* y (+ (* -4 z) (/ x y)))
(* y (+ (* -4 z) (/ x y)))
(* y (+ (* -4 z) (/ x y)))
(* -4 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -4 (* y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -4 (* y z))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
(* -4 (* y z))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))

Outputs
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)

rewrite166.0ms (4.7%)

Memory

9.8MiB live, 197.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
0	18	30
1	58	29
2	392	29
3	4464	29
0	8221	29

Stop Event

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

Counts

5 → 195

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)

Outputs
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eval117.0ms (3.3%)

Memory: -35.1MiB live, 129.4MiB allocated
Compiler: Compiled 5 466 to 538 computations (90.2% saved)

prune19.0ms (0.5%)

Memory

37.6MiB live, 37.6MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	318	1	319
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	318	3	321

Accuracy

100.0%

Counts

321 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
✓	56.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	56.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Compiler

Compiled 18 to 20 computations (-11.1% saved)

simplify14.0ms (0.4%)

Memory

-19.3MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -4 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal -4 binary64) z) y)
cost-diff	0	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	58	24
3	97	24
4	130	24
5	169	24
6	220	24
7	264	24
8	350	24
9	402	24
10	432	24
0	432	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y

localize23.0ms (0.7%)

Memory

0.6MiB live, 39.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 #s(literal -4 binary64) z) y)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	27.899777415233366	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Samples

18.0ms

256×

valid

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

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

ival-mult: 9.0ms (85.5% of total)

ival-sub: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

#s(alt #s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())

#s(alt (*.f64 (*.f64 #s(literal -4 binary64) z) y) (patch (*.f64 (*.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())

#s(alt (*.f64 #s(literal -4 binary64) z) (patch (*.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* 4 y))) (taylor inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -4 y)))) (taylor -inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -4 y)))) (taylor -inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -4 y)))) (taylor -inf z) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -4 (* y z))) (taylor 0 y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* 4 z))) (taylor inf y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* 4 z))) (taylor inf y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* 4 z))) (taylor inf y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -4 z)))) (taylor -inf y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -4 z)))) (taylor -inf y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -4 z)))) (taylor -inf y) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal -4 binary64) z) y) (patch (.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (* y z)) (taylor 0 x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 4 (* y z))) (taylor 0 x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 4 (* y z))) (taylor 0 x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 4 (* y z))) (taylor 0 x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -4 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z))
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z))
0.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z))
0.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z))
0.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z))

simplify192.0ms (5.4%)

Memory

-28.8MiB live, 173.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	374
1	105	374
2	262	374
3	892	374
4	2554	374
5	4467	374
6	5484	374
7	5861	374
8	6075	374
9	6189	374
10	6231	374
0	8305	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 68

Calls

Call 1

Inputs
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 (* y z))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* z (- (/ x z) (* 4 y)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
x
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(+ x (* -4 (* y z)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* y (- (/ x y) (* 4 z)))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(* -4 (* y z))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
(* x (+ 1 (* -4 (/ (* y z) x))))
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))

Outputs
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
x
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
x
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)

rewrite210.0ms (5.9%)

Memory

46.2MiB live, 310.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
0	13	21
1	39	21
2	228	21
3	2131	21
0	8453	20

Stop Event

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

Counts

3 → 42

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)

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>

eval49.0ms (1.4%)

Memory: -29.1MiB live, 45.4MiB allocated
Compiler: Compiled 927 to 146 computations (84.3% saved)

prune29.0ms (0.8%)

Memory

-9.8MiB live, 29.4MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Accuracy

100.0%

Counts

113 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
✓	56.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	56.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Compiler

Compiled 43 to 35 computations (18.6% saved)

regimes15.0ms (0.4%)

Memory

-3.5MiB live, 34.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

Calls

6 calls:

4.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes11.0ms (0.3%)

Memory

-12.1MiB live, 26.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Calls

6 calls:

3.0ms	y
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	z

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	1	`y`
56.4%	1	`z`
56.4%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
56.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
56.4%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

simplify26.0ms (0.7%)

Memory

13.6MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	14	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
#s(approx (- x (* (* y 4) z)) (.f64 y (.f64 z #s(literal -4 binary64))))

soundness764.0ms (21.6%)

Memory

0.6MiB live, 423.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	374
1	105	374
2	262	374
3	894	374
4	2564	374
5	4474	374
6	5491	374
7	5869	374
8	6083	374
9	6195	374
10	6237	374
0	8299	347
0	7	15
0	10	15
1	32	15
2	219	15
3	2118	15
0	8340	14
0	13	30
0	18	30
1	58	29
2	392	29
3	4464	29
0	8221	29

Stop Event

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

Compiler

Compiled 36 to 31 computations (13.9% saved)

preprocess64.0ms (1.8%)

Memory: 12.7MiB live, 123.4MiB allocated
Remove: (sort y z)
Compiler: Compiled 74 to 66 computations (10.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	58	24
3	97	24
4	130	24
5	169	24
6	220	24
7	264	24
8	350	24
9	402	24
10	432	24
0	432	23

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	58	24
3	97	24
4	130	24
5	169	24
6	220	24
7	264	24
8	350	24
9	402	24
10	432	24
0	432	23

start0.0ms (0%)

analyze0.0ms (0%)

sample749.0ms (21.2%)

explain89.0ms (2.5%)

preprocess68.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.4%)

localize17.0ms (0.5%)

series38.0ms (1.1%)

simplify295.0ms (8.3%)

rewrite301.0ms (8.5%)

eval49.0ms (1.4%)

prune46.0ms (1.3%)

simplify15.0ms (0.4%)

localize39.0ms (1.1%)

series8.0ms (0.2%)

simplify103.0ms (2.9%)

rewrite166.0ms (4.7%)

eval117.0ms (3.3%)

prune19.0ms (0.5%)

simplify14.0ms (0.4%)

localize23.0ms (0.7%)

series5.0ms (0.1%)

simplify192.0ms (5.4%)

rewrite210.0ms (5.9%)

eval49.0ms (1.4%)

prune29.0ms (0.8%)

regimes15.0ms (0.4%)

regimes11.0ms (0.3%)

simplify26.0ms (0.7%)

soundness764.0ms (21.6%)

preprocess64.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	58	24
3	97	24
4	130	24
5	169	24
6	220	24
7	264	24
8	350	24
9	402	24
10	432	24
0	432	23