Metrics for Crypto.Random.Test:calculate from crypto-random-0.0.9

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze49.0ms (1%)

Memory

-5.0MiB live, 104.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (23.3%)

Memory

4.9MiB live, 889.8MiB allocated

Samples

693.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-mult: 136.0ms (43% of total)

ival-div: 123.0ms (38.9% of total)

ival-add: 46.0ms (14.6% of total)

ival-true: 7.0ms (2.2% of total)

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

Bogosity

explain177.0ms (3.8%)

Memory

1.0MiB live, 77.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
32	-	2	(-6.807640876022645e-43 2.616963867820319e-156 5.653874632076935e-156)	`(/.f64 (*.f64 y y) z)`
0	-	0	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	15	0
↳	`(*.f64 y y)`	overflow	74
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	5	0
↳	`(*.f64 y y)`	underflow	52

Confusion

	Predicted +	Predicted -
+	18	0
-	2	236

Precision

0.9

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	0
-	2	0	236

Precision?

0.9

Recall?

1.0

Freqs

test

number	freq
0	236
1	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 4.0ms (37.4% of total)

ival-div: 3.0ms (28% of total)

ival-add: 2.0ms (18.7% of total)

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

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

preprocess57.0ms (1.2%)

Memory

-5.4MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	72	64
2	175	64
3	519	64
4	1164	64
5	1897	64
6	2027	64
7	2087	64
8	2133	64
9	2145	64
0	6	7
0	9	7
1	12	7
2	13	7
0	13	6

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 y z) y x)

Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) z)
cost-diff	128	(+.f64 x (/.f64 (*.f64 y y) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	13	18
0	13	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 y z) y x)
x
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z

localize39.0ms (0.8%)

Memory

-29.0MiB live, 25.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x (/.f64 (*.f64 y y) z))
accuracy	0	(*.f64 y y)
accuracy	6.945039279637975	(/.f64 (*.f64 y y) z)

Samples

34.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (38.1% of total)

ival-mult: 2.0ms (38.1% of total)

ival-add: 1.0ms (19% of total)

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

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

series7.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

#s(alt #<batchref> (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ())

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

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

Calls

9 calls:

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

simplify129.0ms (2.7%)

Memory

26.5MiB live, 137.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	376
1	58	376
2	150	376
3	489	376
4	2245	376
5	4084	376
6	6074	376
7	7795	376
0	8080	349

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 67

Calls

Call 1

Inputs
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))

Outputs
(/.f64 (*.f64 y y) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
x
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
x
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
x
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(/.f64 (*.f64 y y) z)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(/.f64 (*.f64 y y) z)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y y) z)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(/.f64 (*.f64 y y) z)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
x
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
x
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) y x)

rewrite271.0ms (5.7%)

Memory

-34.8MiB live, 169.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14

Stop Event

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

Counts

3 → 147

Calls

Call 1

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

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

eval39.0ms (0.8%)

Memory: 40.5MiB live, 78.6MiB allocated
Compiler: Compiled 3 531 to 432 computations (87.8% saved)

prune8.0ms (0.2%)

Memory

-17.9MiB live, 18.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	210	4	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	4	215

Accuracy

100.0%

Counts

215 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 y z) y x)
▶	99.9%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
▶	49.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 35 to 28 computations (20% saved)

simplify44.0ms (0.9%)

Memory

2.4MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(neg.f64 y)
cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) z))
cost-diff	256	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
cost-diff	0	(/.f64 z y)
cost-diff	128	(+.f64 x (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) z)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	76
0	32	71
1	47	70
2	78	70
3	148	70
4	308	70
5	435	70
6	879	70
7	1381	70
8	1845	70
9	2035	70
10	2131	70
11	2171	70
12	2173	70
0	2173	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (2.4%)

Memory

0.3MiB live, 123.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0.03125	(fma.f64 (/.f64 y z) y x)
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.03125	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.22265625	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(/.f64 z y)
accuracy	0	(+.f64 x (/.f64 y (/.f64 z y)))
accuracy	0.11328125	(/.f64 y (/.f64 z y))
accuracy	0	(*.f64 y y)
accuracy	6.945039279637975	(/.f64 (*.f64 y y) z)
accuracy	28.910346555127457	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Samples

101.0ms

256×

valid

Compiler

Compiled 150 to 39 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 57.0ms (81.8% of total)

ival-mult: 7.0ms (10% of total)

ival-add: 5.0ms (7.2% of total)

ival-neg: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.5%)

Memory

12.8MiB live, 49.7MiB allocated

Counts

12 → 300

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ y z) y) x) (/ y z))
2.0ms	z	@	0	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ y z) y) x) (/ y z))
2.0ms	y	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ y z) y) x) (/ y z))
1.0ms	z	@	inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ y z) y) x) (/ y z))
1.0ms	z	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ y z) y) x) (/ y z))

simplify108.0ms (2.3%)

Memory

-7.2MiB live, 110.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1456
1	68	1456
2	161	1456
3	491	1456
4	2215	1456
5	4098	1456
6	6166	1456
0	8021	1348

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 280

Calls

Call 1

Inputs
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))

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

rewrite155.0ms (3.3%)

Memory

8.1MiB live, 291.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	64
0	32	59
1	124	58
2	843	58
0	9322	58

Stop Event

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

Counts

12 → 548

Calls

Call 1

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

Outputs
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eval139.0ms (3%)

Memory: 15.5MiB live, 248.1MiB allocated
Compiler: Compiled 13 587 to 844 computations (93.8% saved)

prune70.0ms (1.5%)

Memory

-10.8MiB live, 120.3MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	825	3	828
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	826	6	832

Accuracy

100.0%

Counts

832 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (/.f64 y z) y x)
✓	99.9%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
✓	49.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	54.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	27.3%	#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))))
▶	54.8%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 77 to 52 computations (32.5% saved)

simplify7.0ms (0.1%)

Memory

-22.3MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(/.f64 (/.f64 z y) y)
cost-diff	0	(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))))
cost-diff	15040	(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	102
0	24	82
1	32	82
2	34	82
3	40	82
4	48	82
5	57	82
6	79	82
7	81	82
0	81	79

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 (/.f64 z y) y)
(/.f64 z y)
z
y
#s(literal -1/2 binary64)
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 y (/.f64 z y))
y
(/.f64 z y)
z

Outputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(/.f64 y z)
y
z
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 (/.f64 z y) y)
(/.f64 z y)
z
y
#s(literal -1/2 binary64)
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
y
(/.f64 z y)
z

localize82.0ms (1.7%)

Memory

-15.3MiB live, 69.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z y)
accuracy	0.046875	(/.f64 y (/.f64 z y))
accuracy	16.678319619343238	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0.0625	(/.f64 (/.f64 z y) y)
accuracy	0.13119125976844204	(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
accuracy	13.052190583447675	(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
accuracy	16.678319619343238	#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))))
accuracy	0	(/.f64 y z)
accuracy	0.0390625	(*.f64 (/.f64 y z) y)
accuracy	16.678319619343238	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Samples

17.0ms	136×	0	valid
13.0ms	120×	0	invalid

Compiler

Compiled 178 to 33 computations (81.5% saved)

Precisions

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

ival-div: 8.0ms (43.1% of total)

ival-mult: 5.0ms (26.9% of total)

ival-pow: 4.0ms (21.5% of total)

ival-add: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.9%)

Memory

9.9MiB live, 48.6MiB allocated

Counts

10 → 276

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (/.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (+ x (/ (* y y) z)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y))
3.0ms	z	@	-inf	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (+ x (/ (* y y) z)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y))
2.0ms	y	@	-inf	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (+ x (/ (* y y) z)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y))
2.0ms	y	@	0	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (+ x (/ (* y y) z)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y))
2.0ms	y	@	inf	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (+ x (/ (* y y) z)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y))

simplify167.0ms (3.5%)

Memory

3.7MiB live, 123.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	1468
1	88	1436
2	235	1436
3	787	1436
4	2195	1436
5	5458	1436
6	7589	1436
0	8294	1355

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 261

Calls

Call 1

Inputs
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* -1 (* y (sqrt (/ 1 z))))
(* -1 (* y (sqrt (/ 1 z))))
(* -1 (* y (sqrt (/ 1 z))))
(* -1 (* y (sqrt (/ 1 z))))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))

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

rewrite257.0ms (5.5%)

Memory

9.8MiB live, 166.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	92
0	24	72
1	79	72
2	560	72
3	7513	72
0	8817	69

Stop Event

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

Counts

10 → 448

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
(*.f64 (/.f64 y z) y)
(/.f64 y z)
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
#s(approx (+ x (/ (* y y) z)) (*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 (/.f64 z y) y)
(/.f64 y (/.f64 z y))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
(/.f64 z y)

Outputs
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eval201.0ms (4.3%)

Memory: 19.7MiB live, 172.7MiB allocated
Compiler: Compiled 21 833 to 1 413 computations (93.5% saved)

prune117.0ms (2.5%)

Memory

-37.4MiB live, 85.9MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	981	2	983
Fresh	0	0	0
Picked	1	2	3
Done	1	2	3
Total	983	6	989

Accuracy

100.0%

Counts

989 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (/.f64 y z) y x)
✓	49.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	54.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	27.0%	#s(approx (+ x (/ (* y y) z)) (.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
✓	54.8%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
▶	54.7%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))

Compiler

Compiled 91 to 65 computations (28.6% saved)

simplify61.0ms (1.3%)

Memory

14.3MiB live, 50.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 z y) y)
cost-diff	0	(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	136
0	37	136
1	55	133
2	91	127
3	152	127
4	322	127
5	495	127
6	913	127
7	1437	127
8	1606	127
9	1660	127
10	1700	127
11	1732	127
12	1732	127
0	1732	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y)
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(neg.f64 y)
y
#s(approx (+ x (/ (* y y) z)) (.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
(.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 (/.f64 z y) y)
(/.f64 z y)
z
y
#s(literal -1/2 binary64)
#s(approx (pow (/ (/ z y) y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

Outputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(/.f64 (*.f64 y y) z)
(/.f64 y z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(neg.f64 y)
y
#s(approx (+ x (/ (* y y) z)) (.f64 #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))))
(.f64 #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 (/.f64 z y) y)
(/.f64 z y)
z
y
#s(literal -1/2 binary64)
#s(approx (pow (/ (/ z y) y) -1/2) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

localize90.0ms (1.9%)

Memory

36.1MiB live, 108.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.125	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	0.13119125976844204	(.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
accuracy	13.052190583447675	(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
accuracy	16.678319619343238	#s(approx (+ x (/ (* y y) z)) (.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
accuracy	0	(neg.f64 y)
accuracy	0.0390625	(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y)
accuracy	0.12109375	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
accuracy	16.678319619343238	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))

Samples

48.0ms	120×	0	invalid
26.0ms	136×	0	valid

Compiler

Compiled 228 to 49 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 46.0ms (74.4% of total)

ival-mult: 8.0ms (12.9% of total)

ival-pow: 4.0ms (6.5% of total)

ival-sqrt: 2.0ms (3.2% of total)

ival-add: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series92.0ms (1.9%)

Memory

-45.8MiB live, 44.9MiB allocated

Counts

10 → 240

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y y) z)) (.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) #<representation binary64>) () ())

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

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	((* (/ -1 z) (neg y)) (+ x (/ (* y y) z)) (* (* (/ -1 z) (neg y)) y) (/ -1 z) (+ x (/ (* y y) z)) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (neg y) (* (sqrt (/ 1 z)) y))
2.0ms	z	@	-inf	((* (/ -1 z) (neg y)) (+ x (/ (* y y) z)) (* (* (/ -1 z) (neg y)) y) (/ -1 z) (+ x (/ (* y y) z)) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (neg y) (* (sqrt (/ 1 z)) y))
2.0ms	y	@	-inf	((* (/ -1 z) (neg y)) (+ x (/ (* y y) z)) (* (* (/ -1 z) (neg y)) y) (/ -1 z) (+ x (/ (* y y) z)) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (neg y) (* (sqrt (/ 1 z)) y))
2.0ms	y	@	0	((* (/ -1 z) (neg y)) (+ x (/ (* y y) z)) (* (* (/ -1 z) (neg y)) y) (/ -1 z) (+ x (/ (* y y) z)) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (neg y) (* (sqrt (/ 1 z)) y))
2.0ms	y	@	inf	((* (/ -1 z) (neg y)) (+ x (/ (* y y) z)) (* (* (/ -1 z) (neg y)) y) (/ -1 z) (+ x (/ (* y y) z)) (* (pow (/ (/ z y) y) -1/2) (pow (/ (/ z y) y) -1/2)) (pow (/ (/ z y) y) -1/2) (/ (/ z y) y) (neg y) (* (sqrt (/ 1 z)) y))

simplify193.0ms (4.1%)

Memory

8.2MiB live, 127.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	1280
1	90	1232
2	233	1232
3	785	1232
4	2217	1232
5	5562	1232
6	7755	1232
0	8472	1178

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 230

Calls

Call 1

Inputs
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(* -1 (* y (sqrt (/ 1 z))))
(* -1 (* y (sqrt (/ 1 z))))
(* -1 (* y (sqrt (/ 1 z))))
(* -1 (* y (sqrt (/ 1 z))))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))

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

rewrite199.0ms (4.2%)

Memory

-5.2MiB live, 167.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	105
0	37	106
1	108	93
2	564	93
3	4959	75
0	8993	73

Stop Event

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

Counts

10 → 398

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y)
(/.f64 #s(literal -1 binary64) z)
#s(approx (+ x (/ (* y y) z)) (.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
(.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(approx (pow (/ (/ z y) y) -1/2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))
(/.f64 (/.f64 z y) y)
(neg.f64 y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) 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>
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eval85.0ms (1.8%)

Memory: -2.4MiB live, 149.5MiB allocated
Compiler: Compiled 15 880 to 1 508 computations (90.5% saved)

prune27.0ms (0.6%)

Memory

26.1MiB live, 65.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	627	1	628
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	628	6	634

Accuracy

100.0%

Counts

634 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (/.f64 y z) y x)
✓	49.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	54.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
	26.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))))
✓	54.8%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
✓	54.7%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))

Compiler

Compiled 232 to 100 computations (56.9% saved)

regimes40.0ms (0.8%)

Memory

-2.5MiB live, 36.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 y z) y x)

Calls

6 calls:

20.0ms	(/.f64 (*.f64 y y) z)
4.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(+.f64 x (/.f64 (*.f64 y y) z))

Results

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

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes23.0ms (0.5%)

Memory

-18.6MiB live, 20.4MiB allocated

Accuracy

Total -3.5b remaining (-12.3%)

Threshold costs -3.5b (-12.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

15.0ms	z
2.0ms	x
2.0ms	y
1.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
54.8%	1	`x`
54.8%	1	`y`
54.8%	1	`z`
54.8%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
54.8%	1	`(/.f64 (*.f64 y y) z)`
54.8%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

simplify26.0ms (0.5%)

Memory

19.9MiB live, 62.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	11	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness445.0ms (9.4%)

Memory

-16.7MiB live, 339.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
0	32	59
1	124	58
2	843	58
0	9322	58
0	23	376
1	58	376
2	150	376
3	489	376
4	2245	376
5	4084	376
6	6074	376
7	7795	376
0	8080	349
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14

Stop Event

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

Compiler

Compiled 50 to 32 computations (36% saved)

preprocess33.0ms (0.7%)

Memory: 24.7MiB live, 98.4MiB allocated
Remove: (abs y)
Compiler: Compiled 78 to 54 computations (30.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze49.0ms (1%)

sample1.1s (23.3%)

explain177.0ms (3.8%)

preprocess57.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize39.0ms (0.8%)

series7.0ms (0.2%)

simplify129.0ms (2.7%)

rewrite271.0ms (5.7%)

eval39.0ms (0.8%)

prune8.0ms (0.2%)

simplify44.0ms (0.9%)

localize112.0ms (2.4%)

series22.0ms (0.5%)

simplify108.0ms (2.3%)

rewrite155.0ms (3.3%)

eval139.0ms (3%)

prune70.0ms (1.5%)

simplify7.0ms (0.1%)

localize82.0ms (1.7%)

series41.0ms (0.9%)

simplify167.0ms (3.5%)

rewrite257.0ms (5.5%)

eval201.0ms (4.3%)

prune117.0ms (2.5%)

simplify61.0ms (1.3%)

localize90.0ms (1.9%)

series92.0ms (1.9%)

simplify193.0ms (4.1%)

rewrite199.0ms (4.2%)

eval85.0ms (1.8%)

prune27.0ms (0.6%)

regimes40.0ms (0.8%)

regimes23.0ms (0.5%)

simplify26.0ms (0.5%)

soundness445.0ms (9.4%)

preprocess33.0ms (0.7%)

end0.0ms (0%)

Profiling