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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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 7 to 7 computations (0% saved)

sample541.0ms (17.4%)

Memory

-8.5MiB live, 1 220.2MiB allocated

Samples

329.0ms	8 250×	0	valid
0.0ms	3×	3	valid
0.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-add: 97.0ms (90.7% of total)

ival-true: 6.0ms (5.6% of total)

ival-assert: 4.0ms (3.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain51.0ms (1.6%)

Memory

32.8MiB live, 110.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 x y) z)`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

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

ival-add: 5.0ms (88.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess56.0ms (1.8%)

Memory

4.4MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	62	45
2	191	45
3	490	45
4	780	45
5	843	45
6	859	45
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) z)

Outputs
(+.f64 (+.f64 x y) z)
(+.f64 z (+.f64 y x))

Symmetry

(sort x y z)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) z)

Compiler

Compiled 5 to 5 computations (0% saved)

simplify5.0ms (0.2%)

Memory

-34.6MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(+.f64 (+.f64 x y) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	18	11
3	20	11
0	20	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z

Outputs
(+.f64 (+.f64 x y) z)
(+.f64 z (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
z

localize13.0ms (0.4%)

Memory

30.5MiB live, 30.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(+.f64 (+.f64 x y) z)

Samples

9.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-add: 2.0ms (73.2% of total)

adjust: 0.0ms (0% of total)

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

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

series4.0ms (0.1%)

Memory

-30.8MiB live, 7.8MiB allocated

Counts

2 → 60

Calls

Call 1

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

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

Calls

9 calls:

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

simplify124.0ms (4%)

Memory

10.5MiB live, 165.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	210
1	148	210
2	381	210
3	1186	210
4	2945	210
5	4910	210
6	5892	210
7	6011	210
8	6105	210
9	6119	210
0	8863	210

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 48

Calls

Call 1

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

Outputs
(+ x y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite173.0ms (5.6%)

Memory

3.1MiB live, 301.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	36	8
2	318	8
3	5039	8
0	8074	8

Stop Event

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

Counts

2 → 212

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) z)
(+.f64 x y)

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>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval31.0ms (1%)

Memory: -8.8MiB live, 107.3MiB allocated
Compiler: Compiled 4 983 to 628 computations (87.4% saved)

prune5.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	256	4	260
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	4	261

Accuracy

100.0%

Counts

261 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))))
▶	52.1%	#s(approx (+ (+ x y) z) (+.f64 z y))
▶	97.4%	#s(approx (+ (+ x y) z) (+.f64 z x))
▶	49.7%	#s(approx (+ (+ x y) z) (+.f64 y x))

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify160.0ms (5.2%)

Memory

-16.4MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z))
cost-diff	0	(+.f64 y x)
cost-diff	128	(neg.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))
cost-diff	1088	(fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))))
cost-diff	0	(+.f64 z y)
cost-diff	0	#s(approx (+ (+ x y) z) (+.f64 z y))
cost-diff	0	(+.f64 z x)
cost-diff	0	#s(approx (+ (+ x y) z) (+.f64 z x))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (+ (+ x y) z) (+.f64 y x))

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	17	111
0	27	111
1	53	111
2	103	111
3	222	109
4	418	109
5	998	109
6	2193	106
7	4341	104
8	6516	104
9	7513	104
10	7813	104
11	7964	104
0	8078	104

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (2.2%)

Memory

-0.2MiB live, 120.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))))
accuracy	0.015625	(/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z))
accuracy	0.02734375	(/.f64 z (-.f64 (+.f64 y x) z))
accuracy	0.078125	(*.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))
accuracy	0	(+.f64 z y)
accuracy	30.63371039058993	#s(approx (+ (+ x y) z) (+.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	1.6423250076808047	#s(approx (+ (+ x y) z) (+.f64 z x))
accuracy	0	(+.f64 y x)
accuracy	32.19456537313927	#s(approx (+ (+ x y) z) (+.f64 y x))

Samples

45.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 198 to 32 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-add: 24.0ms (71% of total)

ival-div: 3.0ms (8.9% of total)

ival-mult: 3.0ms (8.9% of total)

ival-sub: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

series45.0ms (1.4%)

Memory

-3.5MiB live, 83.8MiB allocated

Counts

11 → 360

Calls

Call 1

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

Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) (+ x y))) (taylor 0 z) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 (/ z (pow (+ x y) 2))) (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* z (- (* -1 (/ z (pow (+ x y) 3))) (/ 1 (pow (+ x y) 2)))) (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (pow (+ x y) 4))) (/ 1 (pow (+ x y) 3)))) (/ 1 (pow (+ x y) 2)))) (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ z (+ x y))) (taylor 0 z) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (/ 1 (+ x y)) (/ z (pow (+ x y) 2))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (* z (+ (/ 1 (pow (+ x y) 2)) (/ z (pow (+ x y) 3)))) (/ 1 (+ x y))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (+ x y)) (taylor 0 z) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (/ 1 (+ x y)) (/ z (pow (+ x y) 2)))) (taylor 0 z) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (+ (/ 1 (pow (+ x y) 2)) (/ z (pow (+ x y) 3)))) (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (+ (* z (+ (/ 1 (pow (+ x y) 3)) (/ z (pow (+ x y) 4)))) (/ 1 (pow (+ x y) 2)))) (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (/ z (+ x y)) (taylor 0 z) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (/ 1 (+ x y)) (/ z (pow (+ x y) 2)))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (/ 1 (pow (+ x y) 2)) (/ z (pow (+ x y) 3)))) (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (* z (+ (/ 1 (pow (+ x y) 3)) (/ z (pow (+ x y) 4)))) (/ 1 (pow (+ x y) 2)))) (/ 1 (+ x y)))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
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#s(alt x (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* 2 (/ y x)) (/ z x))) (/ y x))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* 2 (/ y x)) (+ (/ z x) (/ (pow y 2) (pow x 2))))) (+ (/ y x) (+ (/ (* (- y z) (- (+ z (* 2 y)) y)) (pow x 2)) (/ (pow z 2) (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* 2 (/ y x)) (+ (/ z x) (+ (/ (* (pow z 2) (- y z)) (pow x 3)) (/ (pow y 2) (pow x 2)))))) (+ (/ y x) (+ (/ (* (- y z) (- (+ z (* 2 y)) y)) (pow x 2)) (+ (/ (* (- y z) (- (pow y 2) (* (- y z) (- (+ z (* 2 y)) y)))) (pow x 3)) (/ (pow z 2) (pow x 2))))))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) x)) (taylor inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ (* (pow z 2) (- y z)) x) (pow z 2)) x) (taylor inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (pow z 2) (pow (- y z) 2)) (pow x 2))) (/ (* (pow z 2) (- y z)) x)) (pow z 2)) x) (taylor inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (pow z 2) (pow (- y z) 2)) (pow x 2))) (+ (/ (* (pow z 2) (- y z)) x) (/ (* (pow z 2) (pow (- y z) 3)) (pow x 3)))) (pow z 2)) x) (taylor inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ z x)) (taylor inf x) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* z (- y z)) (pow x 2))) (/ z x))) (taylor inf x) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ z x) (/ (* z (pow (- y z) 2)) (pow x 3)))) (/ (* z (- y z)) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* (pow z 2) (- y z)) x)) (pow z 2)) x) (taylor inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ (* (pow z 2) (pow (- y z) 2)) (pow x 2)) (pow z 2)) (/ (* (pow z 2) (- y z)) x)) x) (taylor inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (pow z 2) (pow (- y z) 3)) (pow x 3))) (pow z 2)) (+ (* -1 (/ (* (pow z 2) (pow (- y z) 2)) (pow x 2))) (/ (* (pow z 2) (- y z)) x))) x) (taylor inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 (/ (* z (- y z)) x))) x) (taylor inf x) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ z (/ (* z (pow (- y z) 2)) (pow x 2))) (/ (* z (- y z)) x)) x) (taylor inf x) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ z (* -1 (/ (* z (pow (- y z) 3)) (pow x 3)))) (+ (* -1 (/ (* z (pow (- y z) 2)) (pow x 2))) (/ (* z (- y z)) x))) x) (taylor inf x) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 y x)) (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z x)) (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x y) z) (+.f64 z y)) (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ z (* 2 y)) y) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ z (+ (* -1 (/ (- (* -1 (pow y 2)) (+ (* -1 (* (- y z) (- (+ z (* 2 y)) y))) (* -1 (pow z 2)))) x)) (* 2 y))) y) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ z (+ (* -1 (/ (- (+ (* -1 (/ (- (* (pow z 2) (- y z)) (* -1 (* (- y z) (- (* -1 (pow y 2)) (* -1 (* (- y z) (- (+ z (* 2 y)) y))))))) x)) (* -1 (pow y 2))) (+ (* -1 (* (- y z) (- (+ z (* 2 y)) y))) (* -1 (pow z 2)))) x)) (* 2 y))) y) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) (patch (fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (* (pow z 2) (- y z)) x)) (* -1 (pow z 2))) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (- y z) 2)) x)) (* (pow z 2) (- y z))) x)) (* -1 (pow z 2))) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (- y z) 3)) x)) (* (pow z 2) (pow (- y z) 2))) x)) (* (pow z 2) (- y z))) x)) (* -1 (pow z 2))) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 y) (* -1 (- y z))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* (- y z) (- (* -1 y) (* -1 (- y z)))) x))) (* -1 (- y z))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y z) 2) (- (* -1 y) (* -1 (- y z)))) x)) (* -1 (* (- y z) (- (* -1 y) (* -1 (- y z)))))) x))) (* -1 (- y z))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) (patch (/.f64 (+.f64 y x) (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (pow z 2)) (/ (* (pow z 2) (- y z)) x)) x)) (taylor -inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 2) (pow (- y z) 2)) x) (* (pow z 2) (- y z))) x)) (* -1 (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (- y z) 3)) x) (* (pow z 2) (pow (- y z) 2))) x)) (* (pow z 2) (- y z))) x)) (* -1 (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (/ (* z (- y z)) x)) x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- y z) 2)) x) (* z (- y z))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- y z) 3)) x) (* z (pow (- y z) 2))) x)) (* z (- y z))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (+.f64 y x) z)) (patch (/.f64 z (-.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (+ (* (+ y x) (/ (+ y x) (- (+ y x) z))) (neg (* z (/ z (- (+ y x) z))))) (neg (* z (/ z (- (+ y x) z)))) (/ (+ y x) (- (+ y x) z)) (* z (/ z (- (+ y x) z))) (/ z (- (+ y x) z)))
3.0ms	y	@	inf	((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (+ (* (+ y x) (/ (+ y x) (- (+ y x) z))) (neg (* z (/ z (- (+ y x) z))))) (neg (* z (/ z (- (+ y x) z)))) (/ (+ y x) (- (+ y x) z)) (* z (/ z (- (+ y x) z))) (/ z (- (+ y x) z)))
2.0ms	y	@	-inf	((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (+ (* (+ y x) (/ (+ y x) (- (+ y x) z))) (neg (* z (/ z (- (+ y x) z))))) (neg (* z (/ z (- (+ y x) z)))) (/ (+ y x) (- (+ y x) z)) (* z (/ z (- (+ y x) z))) (/ z (- (+ y x) z)))
2.0ms	z	@	0	((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (+ (* (+ y x) (/ (+ y x) (- (+ y x) z))) (neg (* z (/ z (- (+ y x) z))))) (neg (* z (/ z (- (+ y x) z)))) (/ (+ y x) (- (+ y x) z)) (* z (/ z (- (+ y x) z))) (/ z (- (+ y x) z)))
2.0ms	x	@	0	((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (+ (* (+ y x) (/ (+ y x) (- (+ y x) z))) (neg (* z (/ z (- (+ y x) z))))) (neg (* z (/ z (- (+ y x) z)))) (/ (+ y x) (- (+ y x) z)) (* z (/ z (- (+ y x) z))) (/ z (- (+ y x) z)))

simplify158.0ms (5.1%)

Memory

-6.7MiB live, 264.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	890	5372
1	2792	5161
0	8271	4979

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 316

Calls

Call 1

Inputs
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
x
(+ x z)
(+ x z)
(+ x z)
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
y
(+ y z)
(+ y z)
(+ y z)
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
(* -1 (/ (pow z 2) (+ x y)))
(* (pow z 2) (- (* -1 (/ z (pow (+ x y) 2))) (/ 1 (+ x y))))
(* (pow z 2) (- (* z (- (* -1 (/ z (pow (+ x y) 3))) (/ 1 (pow (+ x y) 2)))) (/ 1 (+ x y))))
(* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (pow (+ x y) 4))) (/ 1 (pow (+ x y) 3)))) (/ 1 (pow (+ x y) 2)))) (/ 1 (+ x y))))
1
(+ 1 (/ z (+ x y)))
(+ 1 (* z (+ (/ 1 (+ x y)) (/ z (pow (+ x y) 2)))))
(+ 1 (* z (+ (* z (+ (/ 1 (pow (+ x y) 2)) (/ z (pow (+ x y) 3)))) (/ 1 (+ x y)))))
(/ (pow z 2) (+ x y))
(* (pow z 2) (+ (/ 1 (+ x y)) (/ z (pow (+ x y) 2))))
(* (pow z 2) (+ (* z (+ (/ 1 (pow (+ x y) 2)) (/ z (pow (+ x y) 3)))) (/ 1 (+ x y))))
(* (pow z 2) (+ (* z (+ (* z (+ (/ 1 (pow (+ x y) 3)) (/ z (pow (+ x y) 4)))) (/ 1 (pow (+ x y) 2)))) (/ 1 (+ x y))))
(/ z (+ x y))
(* z (+ (/ 1 (+ x y)) (/ z (pow (+ x y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ x y) 2)) (/ z (pow (+ x y) 3)))) (/ 1 (+ x y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ x y) 3)) (/ z (pow (+ x y) 4)))) (/ 1 (pow (+ x y) 2)))) (/ 1 (+ x y))))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* z (+ 1 (/ x z)))
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1
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(/ (pow z 2) y)
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1
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Outputs
(+ x y)
(+.f64 y x)
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(+ x (+ y z))
(+.f64 (+.f64 z y) x)
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(+.f64 (+.f64 z y) x)
x
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(+ x z)
(+.f64 z x)
(+ x y)
(+.f64 y x)
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(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
y
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(* -1 (* x (- (* -1 (/ (- (+ z (+ (* -1 (/ (- (* -1 (pow y 2)) (+ (* -1 (* (- y z) (- (+ z (* 2 y)) y))) (* -1 (pow z 2)))) x)) (* 2 y))) y) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 (neg.f64 y) y (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y z) y) (-.f64 y z) (*.f64 z z))) (neg.f64 x))) z) y) (neg.f64 x)) x (neg.f64 x)))
(* -1 (* x (- (* -1 (/ (- (+ z (+ (* -1 (/ (- (+ (* -1 (/ (- (* (pow z 2) (- y z)) (* -1 (* (- y z) (- (* -1 (pow y 2)) (* -1 (* (- y z) (- (+ z (* 2 y)) y))))))) x)) (* -1 (pow y 2))) (+ (* -1 (* (- y z) (- (+ z (* 2 y)) y))) (* -1 (pow z 2)))) x)) (* 2 y))) y) x)) 1)))
(.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y y (/.f64 (fma.f64 (.f64 (-.f64 y z) z) z (.f64 (fma.f64 (neg.f64 y) y (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y z) y) (-.f64 y z))) (-.f64 y z))) x)) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y z) y) (-.f64 y z) (*.f64 z z))) x) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) y z)) y) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (pow z 2) x))
(/.f64 (*.f64 (neg.f64 z) z) x)
(* -1 (/ (- (* -1 (/ (* (pow z 2) (- y z)) x)) (* -1 (pow z 2))) x))
(/.f64 (.f64 (.f64 z z) (+.f64 (/.f64 (-.f64 y z) x) #s(literal -1 binary64))) x)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (- y z) 2)) x)) (* (pow z 2) (- y z))) x)) (* -1 (pow z 2))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (-.f64 y z) z) z (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x))) (neg.f64 x)) (.f64 z z)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (- y z) 3)) x)) (* (pow z 2) (pow (- y z) 2))) x)) (* (pow z 2) (- y z))) x)) (* -1 (pow z 2))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (-.f64 y z) z) z (/.f64 (fma.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) z) z (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x))) (neg.f64 x))) (neg.f64 x)) (*.f64 z z)) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 y) (* -1 (- y z))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (-.f64 y z)) x))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* (- y z) (- (* -1 y) (* -1 (- y z)))) x))) (* -1 (- y z))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 y (-.f64 y z))) x) y) (-.f64 y z)) x))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y z) 2) (- (* -1 y) (* -1 (- y z)))) x)) (* -1 (* (- y z) (- (* -1 y) (* -1 (- y z)))))) x))) (* -1 (- y z))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y (-.f64 y z)) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (*.f64 (-.f64 y z) (-.f64 y (-.f64 y z))))) (neg.f64 x)) y) (-.f64 y z)) x))
(/ (pow z 2) x)
(*.f64 z (/.f64 z x))
(* -1 (/ (+ (* -1 (pow z 2)) (/ (* (pow z 2) (- y z)) x)) x))
(/.f64 (.f64 (.f64 z z) (+.f64 (/.f64 (-.f64 y z) x) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 2) (pow (- y z) 2)) x) (* (pow z 2) (- y z))) x)) (* -1 (pow z 2))) x))
(/.f64 (neg.f64 (fma.f64 z z (/.f64 (.f64 (.f64 z z) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z))) x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (- y z) 3)) x) (* (pow z 2) (pow (- y z) 2))) x)) (* (pow z 2) (- y z))) x)) (* -1 (pow z 2))) x))
(/.f64 (neg.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (.f64 (.f64 z z) (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (neg.f64 x)) (.f64 (.f64 (-.f64 y z) z) z)) x))) (neg.f64 x))
(/ z x)
(/.f64 z x)
(* -1 (/ (+ (* -1 z) (/ (* z (- y z)) x)) x))
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 y z) z) x) z) (neg.f64 x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- y z) 2)) x) (* z (- y z))) x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (-.f64 y z))) (neg.f64 x)) z) (neg.f64 x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- y z) 3)) x) (* z (pow (- y z) 2))) x)) (* z (- y z))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 z (-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (neg.f64 x)) (.f64 (-.f64 y z) z)) (neg.f64 x)) z) (neg.f64 x))

rewrite171.0ms (5.5%)

Memory

-4.9MiB live, 271.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	94
0	27	94
1	139	76
2	1258	76
0	8560	76

Stop Event

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

Counts

11 → 706

Calls

Call 1

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

Outputs
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eval216.0ms (6.9%)

Memory: 36.6MiB live, 270.5MiB allocated
Compiler: Compiled 39 034 to 3 182 computations (91.8% saved)

prune26.0ms (0.8%)

Memory

2.5MiB live, 77.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 257	1	1 258
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 258	4	1 262

Accuracy

100.0%

Counts

1 262 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	#s(approx (+ (+ x y) z) (+.f64 z y))
✓	97.4%	#s(approx (+ (+ x y) z) (+.f64 z x))
✓	49.7%	#s(approx (+ (+ x y) z) (+.f64 y x))
▶	83.4%	#s(approx (+ (+ x y) z) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))

Compiler

Compiled 20 to 22 computations (-10% saved)

simplify217.0ms (7%)

Memory

-30.0MiB live, 131.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x z)
cost-diff	0	#s(approx (+ z x) (fma.f64 (/.f64 x z) z z))
cost-diff	0	#s(approx (+ (+ x y) z) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
cost-diff	896	(fma.f64 (/.f64 x z) z z)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	37
0	13	37
1	25	37
2	38	34
3	46	28
4	48	28
5	88	28
6	190	28
7	666	28
8	1938	28
9	2164	28
10	2367	28
11	2618	28
12	2910	28
13	3299	28
14	5247	28
15	6105	28
16	6870	28
17	7042	28
18	7152	28
19	7243	28
0	8603	28

Stop Event

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

Calls

Call 1

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

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

localize21.0ms (0.7%)

Memory

21.9MiB live, 21.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	0	#s(approx (+ z x) (fma.f64 (/.f64 x z) z z))
accuracy	1.6384187576808047	#s(approx (+ (+ x y) z) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
accuracy	9.131015226685387	(fma.f64 (/.f64 x z) z z)

Samples

15.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 48 to 18 computations (62.5% saved)

Precisions

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

ival-add: 5.0ms (58.4% of total)

ival-div: 2.0ms (23.3% of total)

ival-mult: 2.0ms (23.3% of total)

adjust: 0.0ms (0% of total)

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

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

series7.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* (/ x z) z) z) (+ (+ x y) z) (+ z x) (/ x z))
1.0ms	x	@	inf	((+ (* (/ x z) z) z) (+ (+ x y) z) (+ z x) (/ x z))
1.0ms	z	@	-inf	((+ (* (/ x z) z) z) (+ (+ x y) z) (+ z x) (/ x z))
0.0ms	z	@	inf	((+ (* (/ x z) z) z) (+ (+ x y) z) (+ z x) (/ x z))
0.0ms	z	@	0	((+ (* (/ x z) z) z) (+ (+ x y) z) (+ z x) (/ x z))

simplify167.0ms (5.4%)

Memory

-13.7MiB live, 67.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	342
1	149	342
2	384	342
3	1185	342
4	2912	342
5	4909	342
6	5867	342
7	5987	342
8	6073	342
9	6087	342
0	8835	342

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 90

Calls

Call 1

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

Outputs
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 y z) x)
(+ x (+ y z))
(+.f64 (+.f64 y z) x)
(+ x (+ y z))
(+.f64 (+.f64 y z) x)
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 y z) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 y z) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 y z) x)
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 y z) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 y z) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 y z) x)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 (+.f64 y z) x)
(+ x (+ y z))
(+.f64 (+.f64 y z) x)
(+ x (+ y z))
(+.f64 (+.f64 y z) x)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 y z) x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 y z) x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 y z) x)
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 y z) x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 y z) x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 y z) x)
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ y z)
(+.f64 y z)
(+ x (+ y z))
(+.f64 (+.f64 y z) x)
(+ x (+ y z))
(+.f64 (+.f64 y z) x)
(+ x (+ y z))
(+.f64 (+.f64 y z) x)
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
x
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 y z) x)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 y z) x)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 y z) x)
x
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 y z) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 y z) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 y z) x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)

rewrite236.0ms (7.6%)

Memory

-10.6MiB live, 197.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	13	35
1	75	35
2	618	26
0	8789	26

Stop Event

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

Counts

4 → 118

Calls

Call 1

Inputs
(fma.f64 (/.f64 x z) z z)
#s(approx (+ (+ x y) z) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))
#s(approx (+ z x) (fma.f64 (/.f64 x z) z z))
(/.f64 x 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>
#<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>
#<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>

eval43.0ms (1.4%)

Memory: -6.2MiB live, 31.8MiB allocated
Compiler: Compiled 2 640 to 566 computations (78.6% saved)

prune9.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	208	4	212

Accuracy

100.0%

Counts

212 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	#s(approx (+ (+ x y) z) (+.f64 z y))
✓	97.4%	#s(approx (+ (+ x y) z) (+.f64 z x))
✓	49.7%	#s(approx (+ (+ x y) z) (+.f64 y x))
✓	83.4%	#s(approx (+ (+ x y) z) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z)))

Compiler

Compiled 68 to 43 computations (36.8% saved)

regimes35.0ms (1.1%)

Memory

-19.4MiB live, 19.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f64 (+.f64 x y) z)

Calls

5 calls:

24.0ms	z
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	(+.f64 (+.f64 x y) z)
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 x y) z)`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes10.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
2.0ms	z
2.0ms	(+.f64 x y)
2.0ms	(+.f64 (+.f64 x y) z)
2.0ms	y

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`y`
97.4%	1	`z`
97.4%	1	`(+.f64 (+.f64 x y) z)`
97.4%	1	`(+.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes7.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	y
1.0ms	(+.f64 x y)
1.0ms	(+.f64 (+.f64 x y) z)
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
49.7%	1	`y`
49.7%	1	`z`
49.7%	1	`(+.f64 (+.f64 x y) z)`
49.7%	1	`(+.f64 x y)`
49.7%	1	`x`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

simplify40.0ms (1.3%)

Memory

-8.4MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	14	23

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness418.0ms (13.4%)

Memory

-25.6MiB live, 88.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	210
1	148	210
2	381	210
3	1186	210
4	2945	210
5	4910	210
6	5892	210
7	6011	210
8	6105	210
9	6119	210
0	8863	210

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 19 to 16 computations (15.8% saved)

preprocess49.0ms (1.6%)

Memory: 17.3MiB live, 56.3MiB allocated
Remove: (sort x y z)
Compiler: Compiled 56 to 46 computations (17.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	50
1	62	45
2	191	45
3	490	45
4	780	45
5	843	45
6	859	45
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

Iter	Nodes	Cost
0	21	50
1	62	45
2	191	45
3	490	45
4	780	45
5	843	45
6	859	45
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

start0.0ms (0%)

analyze0.0ms (0%)

sample541.0ms (17.4%)

explain51.0ms (1.6%)

preprocess56.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize13.0ms (0.4%)

series4.0ms (0.1%)

simplify124.0ms (4%)

rewrite173.0ms (5.6%)

eval31.0ms (1%)

prune5.0ms (0.1%)

simplify160.0ms (5.2%)

localize70.0ms (2.2%)

series45.0ms (1.4%)

simplify158.0ms (5.1%)

rewrite171.0ms (5.5%)

eval216.0ms (6.9%)

prune26.0ms (0.8%)

simplify217.0ms (7%)

localize21.0ms (0.7%)

series7.0ms (0.2%)

simplify167.0ms (5.4%)

rewrite236.0ms (7.6%)

eval43.0ms (1.4%)

prune9.0ms (0.3%)

regimes35.0ms (1.1%)

regimes10.0ms (0.3%)

regimes7.0ms (0.2%)

simplify40.0ms (1.3%)

soundness418.0ms (13.4%)

preprocess49.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	50
1	62	45
2	191	45
3	490	45
4	780	45
5	843	45
6	859	45
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5