Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze51.0ms (0.9%)

Memory

-20.2MiB live, 25.7MiB 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)

sample717.0ms (13.1%)

Memory

6.5MiB live, 245.4MiB allocated

Samples

423.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-add: 97.0ms (44.8% of total)

ival-div: 55.0ms (25.4% of total)

ival-mult: 55.0ms (25.4% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain120.0ms (2.2%)

Memory

-21.1MiB live, 63.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
40	-	-	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	-	`(+.f64 y z)`
0	-	-	`y`
0	-	-	`z`
0	-	-	`(*.f64 x (+.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	30	0
↳	`(*.f64 x (+.f64 y z))`	overflow	56
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	10	0
↳	`(*.f64 x (+.f64 y z))`	underflow	10

Confusion

	Predicted +	Predicted -
+	40	0
-	0	216

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	0	0	216

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	216
1	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

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

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

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

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

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

preprocess205.0ms (3.7%)

Memory

22.7MiB live, 139.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	106	66
2	281	64
3	934	64
4	2669	63
5	5010	63
6	5760	63
7	5861	63
8	5957	63
9	6086	63
10	6221	63
0	6	7
0	9	7
1	19	7
2	24	7
3	25	7
4	33	7
5	35	7
6	39	7
7	46	7
8	51	7
9	160	7
10	553	7
11	2370	7
12	3773	7
13	3925	7
14	4010	7
15	4111	7
16	4246	7
17	4406	7
18	6021	7
19	7046	7
0	8041	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.2%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify179.0ms (3.3%)

Memory

-16.2MiB live, 102.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	24	18
3	25	18
4	33	18
5	35	18
6	39	18
7	46	18
8	51	18
9	160	18
10	553	18
11	2370	18
12	3773	18
13	3925	18
14	4010	18
15	4111	18
16	4246	18
17	4406	18
18	6021	18
19	7046	18
0	8041	17

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.6%)

Memory

-3.0MiB live, 35.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0.00390625	(*.f64 x (+.f64 y z))
accuracy	9.469973887757032	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

28.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-add: 17.0ms (80.7% of total)

ival-div: 2.0ms (9.5% of total)

ival-mult: 2.0ms (9.5% of total)

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

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

series10.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

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

simplify206.0ms (3.8%)

Memory

4.6MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	456
1	171	456
2	482	456
3	1334	456
4	2618	456
5	3113	456
6	3463	456
7	3902	456
8	4086	456
9	4129	456
10	6026	456
11	6802	456
12	7024	456
13	7424	456
14	7436	456
15	7445	456
0	8111	426

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

rewrite169.0ms (3.1%)

Memory

-15.3MiB live, 340.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15

Stop Event

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

Counts

3 → 379

Calls

Call 1

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

Outputs
#<batchref>
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#<batchref>

eval53.0ms (1%)

Memory: 27.9MiB live, 149.9MiB allocated
Compiler: Compiled 9 454 to 1 305 computations (86.2% saved)

prune14.0ms (0.3%)

Memory

-39.7MiB live, 43.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	460	6	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	461	6	467

Accuracy

100.0%

Counts

467 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 x z)) (-.f64 z y))
▶	38.5%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	49.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	96.9%	(/.f64 x (/.f64 z (+.f64 z y)))
▶	96.6%	(*.f64 (/.f64 (+.f64 z y) z) x)
▶	93.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 130 to 92 computations (29.2% saved)

simplify135.0ms (2.5%)

Memory

25.5MiB live, 225.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 (+.f64 z y) z)
cost-diff	128	(*.f64 (/.f64 (+.f64 z y) z) x)
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) y x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 z x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 z (+.f64 z y))
cost-diff	512	(/.f64 x (/.f64 z (+.f64 z y)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	113
0	32	114
1	47	114
2	57	114
3	59	114
4	64	110
5	74	110
6	74	110
7	191	110
8	643	110
9	2777	110
10	3849	110
11	4735	110
12	4816	110
13	4901	110
14	5006	110
15	5128	110
16	6867	110
0	8181	110

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (0.9%)

Memory

9.7MiB live, 130.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	0.015625	(/.f64 (+.f64 z y) z)
accuracy	2.18170697683078	(*.f64 (/.f64 (+.f64 z y) z) x)
accuracy	0	(/.f64 x z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
accuracy	4.379597673076556	(fma.f64 (/.f64 x z) y x)
accuracy	0	(*.f64 z x)
accuracy	9.469973887757032	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	30.804534425728395	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0	(*.f64 y x)
accuracy	9.469973887757032	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	28.07260864620199	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(+.f64 z y)
accuracy	0.01171875	(/.f64 z (+.f64 z y))
accuracy	1.96317918139457	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

35.0ms

256×

valid

Compiler

Compiled 206 to 38 computations (81.6% saved)

Precisions

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

ival-div: 8.0ms (38.4% of total)

ival-mult: 8.0ms (38.4% of total)

ival-add: 4.0ms (19.2% of total)

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

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

series31.0ms (0.6%)

Memory

-30.3MiB live, 87.6MiB allocated

Counts

14 → 432

Calls

Call 1

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

Outputs
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Calls

9 calls:

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

simplify134.0ms (2.4%)

Memory

19.2MiB live, 259.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	2391
1	507	2370
2	1332	2340
3	4906	2338
0	8250	2145

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 408

Calls

Call 1

Inputs
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ z y)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ y z)
(+ y z)
(+ y z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ y z)
(/ (+ y z) z)
(/ (+ y z) z)
(/ (+ y z) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
z
(+ y z)
(+ y z)
(+ y z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ z y)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)

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

rewrite151.0ms (2.8%)

Memory

-12.9MiB live, 345.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
0	32	96
1	115	96
2	771	96
0	8436	96

Stop Event

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

Counts

14 → 1 286

Calls

Call 1

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

Outputs
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eval230.0ms (4.2%)

Memory: 34.7MiB live, 579.6MiB allocated
Compiler: Compiled 32 972 to 2 677 computations (91.9% saved)

prune40.0ms (0.7%)

Memory

-22.4MiB live, 140.8MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 815	4	1 819
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 819	6	1 825

Accuracy

100.0%

Counts

1 825 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	54.7%	(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 z y)) (*.f64 (-.f64 z y) z)) x)
▶	49.9%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
▶	48.1%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
▶	96.6%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	93.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 74 to 51 computations (31.1% saved)

simplify120.0ms (2.2%)

Memory

18.1MiB live, 210.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y z)
cost-diff	0	(*.f64 (+.f64 y z) (-.f64 z y))
cost-diff	128	(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 z y)) (*.f64 (-.f64 z y) z)) x)
cost-diff	1024	(/.f64 (.f64 (+.f64 y z) (-.f64 z y)) (.f64 (-.f64 z y) z))
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (/ (+ z y) z) (/.f64 y z))
cost-diff	0	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
cost-diff	0	#s(approx (/ (+ z y) z) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) x x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	119
0	33	110
1	66	110
2	143	104
3	360	102
4	889	101
5	5240	101
0	8364	101

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (1.2%)

Memory

-8.8MiB live, 124.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (+.f64 y z) (-.f64 z y))
accuracy	0.0078125	(*.f64 (-.f64 z y) z)
accuracy	2.18170697683078	(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 z y)) (*.f64 (-.f64 z y) z)) x)
accuracy	28.13535421456951	(/.f64 (.f64 (+.f64 y z) (-.f64 z y)) (.f64 (-.f64 z y) z))
accuracy	0	(/.f64 y z)
accuracy	2.18170697683078	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
accuracy	30.089284732243964	#s(approx (/ (+ z y) z) (/.f64 y z))
accuracy	2.18170697683078	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
accuracy	33.38606380791777	#s(approx (/ (+ z y) z) #s(literal 1 binary64))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	2.15826947683078	(fma.f64 (/.f64 y z) x x)

Samples

38.0ms

256×

valid

Compiler

Compiled 222 to 42 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 11.0ms (43.7% of total)

ival-mult: 9.0ms (35.7% of total)

ival-add: 4.0ms (15.9% of total)

ival-sub: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.5%)

Memory

14.9MiB live, 53.7MiB allocated

Counts

12 → 348

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ (* (+ y z) (- z y)) (* (- z y) z)) (* (/ (* (+ y z) (- z y)) (* (- z y) z)) x) (* (+ y z) (- z y)) (+ y z) (* (- z y) z))
4.0ms	z	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ (* (+ y z) (- z y)) (* (- z y) z)) (* (/ (* (+ y z) (- z y)) (* (- z y) z)) x) (* (+ y z) (- z y)) (+ y z) (* (- z y) z))
1.0ms	y	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ (* (+ y z) (- z y)) (* (- z y) z)) (* (/ (* (+ y z) (- z y)) (* (- z y) z)) x) (* (+ y z) (- z y)) (+ y z) (* (- z y) z))
1.0ms	z	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ (* (+ y z) (- z y)) (* (- z y) z)) (* (/ (* (+ y z) (- z y)) (* (- z y) z)) x) (* (+ y z) (- z y)) (+ y z) (* (- z y) z))
1.0ms	z	@	inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ (* (+ y z) (- z y)) (* (- z y) z)) (* (/ (* (+ y z) (- z y)) (* (- z y) z)) x) (* (+ y z) (- z y)) (+ y z) (* (- z y) z))

simplify163.0ms (3%)

Memory

-28.4MiB live, 289.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1905
1	354	1815
2	950	1815
3	3882	1815
0	8290	1665

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 327

Calls

Call 1

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

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

rewrite175.0ms (3.2%)

Memory

1.7MiB live, 359.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	102
0	33	93
1	130	85
2	1009	84
0	8906	84

Stop Event

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

Counts

12 → 1 061

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
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eval189.0ms (3.5%)

Memory: 49.0MiB live, 513.7MiB allocated
Compiler: Compiled 31 860 to 3 144 computations (90.1% saved)

prune37.0ms (0.7%)

Memory

-40.6MiB live, 89.5MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 432	2	1 434
Fresh	0	0	0
Picked	1	3	4
Done	1	1	2
Total	1 434	6	1 440

Accuracy

100.0%

Counts

1 440 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	31.8%	(.f64 (/.f64 #s(approx ( (+ y z) (- z y)) (.f64 (neg.f64 y) y)) (.f64 (-.f64 z y) z)) x)
✓	49.9%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
✓	48.1%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
✓	96.6%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	48.7%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Compiler

Compiled 78 to 55 computations (29.5% saved)

simplify179.0ms (3.3%)

Memory

27.2MiB live, 145.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	91
0	26	91
1	53	91
2	102	91
3	192	91
4	366	91
5	638	91
6	1233	91
7	2708	91
8	5652	91
9	7116	91
10	7642	91
11	7823	91
12	7899	91
13	7921	91
14	7953	91
0	8121	90

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (0.8%)

Memory

-7.5MiB live, 66.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (-.f64 z y) z)
accuracy	2.18170697683078	(.f64 (/.f64 #s(approx ( (+ y z) (- z y)) (.f64 (neg.f64 y) y)) (.f64 (-.f64 z y) z)) x)
accuracy	28.13535421456951	(/.f64 #s(approx (* (+ y z) (- z y)) (.f64 (neg.f64 y) y)) (.f64 (-.f64 z y) z))
accuracy	28.298759353773814	#s(approx (* (+ y z) (- z y)) (*.f64 (neg.f64 y) y))
accuracy	0	(/.f64 x z)
accuracy	5.501971291089306	(*.f64 (/.f64 x z) y)
accuracy	29.917318956500985	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Samples

36.0ms

256×

valid

Compiler

Compiled 163 to 35 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (35.7% of total)

ival-div: 8.0ms (31.8% of total)

ival-neg: 5.0ms (19.8% of total)

ival-add: 2.0ms (7.9% of total)

ival-sub: 1.0ms (4% of total)

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

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

series21.0ms (0.4%)

Memory

-4.0MiB live, 34.0MiB allocated

Counts

9 → 228

Calls

Call 1

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

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

Calls

9 calls:

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

simplify142.0ms (2.6%)

Memory

26.0MiB live, 178.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1273
1	306	1171
2	845	1167
3	2938	1167
0	8159	1137

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 222

Calls

Call 1

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

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

rewrite171.0ms (3.1%)

Memory

-26.8MiB live, 200.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	82
0	26	82
1	93	82
2	593	82
3	6711	82
0	8253	82

Stop Event

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

Counts

9 → 347

Calls

Call 1

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

Outputs
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eval67.0ms (1.2%)

Memory: -8.0MiB live, 99.3MiB allocated
Compiler: Compiled 12 890 to 1 160 computations (91% saved)

prune20.0ms (0.4%)

Memory

-6.6MiB live, 41.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	568	1	569
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	569	6	575

Accuracy

100.0%

Counts

575 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
	31.9%	(.f64 (/.f64 #s(approx ( (+ y z) (- z y)) (.f64 (neg.f64 y) y)) #s(approx ( (- z y) z) (*.f64 (neg.f64 z) y))) x)
✓	49.9%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
✓	48.1%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
✓	96.6%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	48.7%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Compiler

Compiled 262 to 113 computations (56.9% saved)

regimes24.0ms (0.4%)

Memory

-7.2MiB live, 29.9MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x
5.0ms	z
5.0ms	y
5.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`y`
96.9%	1	`z`
96.9%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes15.0ms (0.3%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
4.0ms	z
3.0ms	y
3.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`y`
96.6%	1	`z`
96.6%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes15.0ms (0.3%)

Memory

-18.8MiB live, 18.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
93.2%	1	`x`
93.2%	1	`y`
93.2%	1	`z`
94.9%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
60.4%	5	`x`
75.3%	3	`y`
73.1%	3	`z`
75.5%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
74.8%	3	`y`
74.7%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
73.7%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`
74.7%	3	`y`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes8.0ms (0.2%)

Memory

-26.7MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
48.1%	1	`x`
48.1%	1	`z`
48.1%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
48.1%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.484247724514605e-223	-7.308537085000853e-258

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2044005125187154e+120	1.0069263805569337e+130
0.0ms	-7.308537085000853e-258	0.0

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch20.0ms (0.4%)

Memory

24.6MiB live, 24.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.876207349748654e+53	2.344066821485676e+57
8.0ms	-10192774937540882000.0	-713122930821803300.0

Samples

10.0ms

224×

valid

Compiler

Compiled 306 to 272 computations (11.1% saved)

Precisions

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

ival-mult: 2.0ms (43.4% of total)

ival-div: 1.0ms (21.7% of total)

ival-add: 1.0ms (21.7% of total)

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

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

bsearch14.0ms (0.3%)

Memory

-31.2MiB live, 11.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.876207349748654e+53	2.344066821485676e+57
12.0ms	-10192774937540882000.0	-713122930821803300.0

Samples

4.0ms

80×

valid

Compiler

Compiled 318 to 278 computations (12.6% saved)

Precisions

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

ival-div: 1.0ms (59.9% of total)

ival-add: 1.0ms (59.9% of total)

ival-mult: 1.0ms (59.9% of total)

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

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

simplify27.0ms (0.5%)

Memory

2.1MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	200
1	57	200

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -2604693137843693/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 x z) y x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 3999999999999999920013873389576804726675220771588034072754593247323089658509714901859157739719969759019104300724308148224 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -8200000000000000000 binary64)) (.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (if (<=.f64 y #s(literal 6800000000000000124043634446128301971626921121103740928 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -1050000000000000000 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 6800000000000000124043634446128301971626921121103740928 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)

Outputs
(/.f64 x (/.f64 z (+.f64 y z)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 (/.f64 (.f64 (+.f64 y z) x) z) #s(literal -2604693137843693/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 x z) y x)))
(if (<=.f64 (/.f64 (.f64 (+.f64 y z) x) z) #s(literal -1352433999707303/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) (if (<=.f64 (/.f64 (.f64 (+.f64 y z) x) z) #s(literal 3999999999999999920013873389576804726675220771588034072754593247323089658509714901859157739719969759019104300724308148224 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -8200000000000000000 binary64)) (.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (if (<=.f64 y #s(literal 6800000000000000124043634446128301971626921121103740928 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -1050000000000000000 binary64)) #s(approx (/ (* x (+ y z)) z) (.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 6800000000000000124043634446128301971626921121103740928 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)

soundness1.3s (23.6%)

Memory

36.9MiB live, 550.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	456
1	171	456
2	482	456
3	1334	456
4	2618	456
5	3113	456
6	3463	456
7	3902	456
8	4086	456
9	4129	456
10	6026	456
11	6802	456
12	7024	456
13	7424	456
14	7436	456
15	7445	456
0	8111	426
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15
0	112	1905
1	354	1815
2	950	1815
3	3882	1815
0	8290	1665
0	161	2391
1	507	2370
2	1332	2340
3	4906	2338
0	8250	2145

Stop Event

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

Compiler

Compiled 384 to 187 computations (51.3% saved)

preprocess81.0ms (1.5%)

Memory: -23.0MiB live, 93.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 456 to 142 computations (68.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze51.0ms (0.9%)

sample717.0ms (13.1%)

explain120.0ms (2.2%)

preprocess205.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify179.0ms (3.3%)

localize32.0ms (0.6%)

series10.0ms (0.2%)

simplify206.0ms (3.8%)

rewrite169.0ms (3.1%)

eval53.0ms (1%)

prune14.0ms (0.3%)

simplify135.0ms (2.5%)

localize48.0ms (0.9%)

series31.0ms (0.6%)

simplify134.0ms (2.4%)

rewrite151.0ms (2.8%)

eval230.0ms (4.2%)

prune40.0ms (0.7%)

simplify120.0ms (2.2%)

localize66.0ms (1.2%)

series26.0ms (0.5%)

simplify163.0ms (3%)

rewrite175.0ms (3.2%)

eval189.0ms (3.5%)

prune37.0ms (0.7%)

simplify179.0ms (3.3%)

localize45.0ms (0.8%)

series21.0ms (0.4%)

simplify142.0ms (2.6%)

rewrite171.0ms (3.1%)

eval67.0ms (1.2%)

prune20.0ms (0.4%)

regimes24.0ms (0.4%)

regimes15.0ms (0.3%)

regimes15.0ms (0.3%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0.4%)

bsearch14.0ms (0.3%)

simplify27.0ms (0.5%)

soundness1.3s (23.6%)

preprocess81.0ms (1.5%)

end0.0ms (0%)

Profiling