Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (30.7%)

Memory

-30.1MiB live, 1 467.7MiB allocated

Samples

912.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 506.0ms

ival-add: 259.0ms (51.2% of total)

ival-div: 152.0ms (30% of total)

ival-mult: 81.0ms (16% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain92.0ms (2.4%)

Memory

24.3MiB live, 142.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 x #s(literal 2 binary64))`
-	-	`z`
-	-	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
-	-	`(*.f64 y x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

32.0ms

512×

valid

Compiler

Compiled 91 to 36 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (47.1% of total)

ival-add: 4.0ms (23.6% of total)

ival-mult: 4.0ms (23.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess74.0ms (1.9%)

Memory

-9.9MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	88	82
2	232	81
3	662	69
4	1166	65
5	1714	63
6	2190	63
7	2376	63
8	2424	63
9	2432	63
10	2432	63
0	8	9
0	12	9
1	17	9
2	24	9
3	26	9
0	26	8

Stop Event

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

Calls

Call 1

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

Outputs
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB 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
▶	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 x #s(literal 2 binary64))
cost-diff	0	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
cost-diff	128	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	26
1	17	26
2	24	26
3	26	26
0	26	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))
(fma.f64 y x (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 y x)
y
z

localize24.0ms (0.6%)

Memory

-0.6MiB live, 36.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x #s(literal 2 binary64))
accuracy	0	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Samples

18.0ms

256×

valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (32.4% of total)

ival-add: 2.0ms (32.4% of total)

ival-mult: 2.0ms (32.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	x	@	inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	y	@	-inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	x	@	0	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	y	@	inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))

simplify111.0ms (2.9%)

Memory

-26.5MiB live, 130.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	440
1	174	440
2	488	440
3	1308	440
4	3612	440
5	6663	440
0	8194	412

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

Calls

Call 1

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

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

rewrite186.0ms (4.8%)

Memory

-13.0MiB live, 236.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	52	18
2	452	18
3	6077	18
0	8040	17

Stop Event

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

Counts

4 → 242

Calls

Call 1

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

Outputs
#<batchref>
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eval38.0ms (1%)

Memory: 16.6MiB live, 92.8MiB allocated
Compiler: Compiled 7 091 to 761 computations (89.3% saved)

prune9.0ms (0.2%)

Memory

-20.8MiB live, 23.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	330	5	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	331	5	336

Accuracy

100.0%

Counts

336 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
▶	77.3%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
▶	62.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	60.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	38.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 124 to 98 computations (21% saved)

simplify5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
cost-diff	0	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
cost-diff	0	(-.f64 y #s(literal -1/2 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x z)
cost-diff	0	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x z)
cost-diff	192	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	110
0	27	110
1	41	110
2	56	110
3	58	110
0	58	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (1%)

Memory

15.1MiB live, 52.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
accuracy	0	(*.f64 y x)
accuracy	30.933879496683733	#s(approx (+ (/ x 2) (* y x)) (*.f64 y x))
accuracy	0	(-.f64 y #s(literal -1/2 binary64))
accuracy	0.015625	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy	25.282191523325974	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	23.79544383306644	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
accuracy	0	(*.f64 y x)
accuracy	39.184137103840875	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
accuracy	0	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x z)

Samples

27.0ms

256×

valid

Compiler

Compiled 203 to 37 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 6.0ms (43.1% of total)

ival-mult: 5.0ms (35.9% of total)

ival-div: 2.0ms (14.4% of total)

ival-sub: 1.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.4%)

Memory

-13.5MiB live, 24.5MiB allocated

Counts

10 → 288

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)))
1.0ms	x	@	inf	((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)))
1.0ms	y	@	-inf	((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)))
1.0ms	x	@	0	((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)))
1.0ms	y	@	inf	((+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)))

simplify115.0ms (3%)

Memory

33.6MiB live, 109.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1522
1	223	1522
2	598	1522
3	1758	1522
4	3780	1522
5	5767	1522
6	7219	1522
0	8027	1364

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 268

Calls

Call 1

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

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

rewrite158.0ms (4.1%)

Memory

-6.4MiB live, 184.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	27	82
1	125	78
2	946	78
0	8309	74

Stop Event

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

Counts

10 → 332

Calls

Call 1

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

Outputs
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eval100.0ms (2.6%)

Memory: -8.5MiB live, 153.4MiB allocated
Compiler: Compiled 15 701 to 1 102 computations (93% saved)

prune20.0ms (0.5%)

Memory

12.7MiB live, 50.8MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	689	2	691
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	690	6	696

Accuracy

100.0%

Counts

696 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.5%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	77.3%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
✓	62.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	60.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	23.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	38.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 84 to 67 computations (20.2% saved)

simplify4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	58
0	22	58
1	33	58
2	41	58
3	43	58
0	43	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.9%)

Memory

-34.9MiB live, 52.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	33.303088399220336	#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.015625	(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
accuracy	25.282191523325974	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
accuracy	31.809380454126114	#s(approx (- y -1/2) #s(literal 1/2 binary64))

Samples

25.0ms

256×

valid

Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 5.0ms (38.8% of total)

ival-mult: 4.0ms (31% of total)

ival-div: 2.0ms (15.5% of total)

ival-sub: 1.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x))
1.0ms	x	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x))
0.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x))
0.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x))
0.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) (+ (* y x) (+ (* 1/2 x) z)) (+ (* 1/2 x) z) (* 1/2 x))

simplify119.0ms (3.1%)

Memory

23.2MiB live, 98.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	718
1	223	718
2	598	718
3	1748	718
4	3749	718
5	5751	718
6	7199	718
0	8003	644

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 133

Calls

Call 1

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

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

rewrite247.0ms (6.4%)

Memory

-6.7MiB live, 183.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
0	22	53
1	108	51
2	784	51
0	8439	48

Stop Event

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

Counts

6 → 66

Calls

Call 1

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

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

eval53.0ms (1.4%)

Memory: -1.2MiB live, 47.9MiB allocated
Compiler: Compiled 4 329 to 221 computations (94.9% saved)

prune16.0ms (0.4%)

Memory

-19.6MiB live, 17.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	199	6	205

Accuracy

100.0%

Counts

205 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.5%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	77.3%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
✓	62.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	60.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	23.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	38.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 184 to 102 computations (44.6% saved)

regimes17.0ms (0.4%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))

Calls

5 calls:

3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes31.0ms (0.8%)

Memory

-7.4MiB live, 29.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	z
3.0ms	y
3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms	x

Results

Accuracy	Segments	Branch
87.8%	3	`x`
98.6%	3	`y`
89.7%	3	`z`
81.5%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
89.4%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes12.0ms (0.3%)

Memory

-10.5MiB live, 26.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

5.0ms	x
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
80.4%	3	`x`
87.7%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
83.7%	3	`z`
87.7%	3	`y`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

Accuracy	Segments	Branch
86.8%	3	`y`
77.5%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	y
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
42.4%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
38.8%	1	`x`
42.4%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
38.8%	1	`z`
59.1%	3	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes15.0ms (0.4%)

Memory

-39.5MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Calls

4 calls:

10.0ms	y
1.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	z

Results

Accuracy	Segments	Branch
38.8%	1	`z`
38.8%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
38.8%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
38.8%	1	`y`

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch25.0ms (0.7%)

Memory

10.5MiB live, 46.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.302345143727795e-10	0.0008105783715325085
9.0ms	-936.1484432276291	-72.1402902541629

Samples

12.0ms

240×

valid

Compiler

Compiled 417 to 359 computations (13.9% saved)

Precisions

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

ival-div: 2.0ms (35.2% of total)

ival-add: 2.0ms (35.2% of total)

ival-mult: 2.0ms (35.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4733681769865288e+77	4.447598536548852e+88
0.0ms	-9.969103010821694e+102	-1.7206695541201437e+102

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch56.0ms (1.4%)

Memory

14.6MiB live, 51.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0008105783715325085	81.16568437584831
40.0ms	-9.182621796786604e+23	-749131168063150300.0

Samples

14.0ms

288×

valid

Compiler

Compiled 498 to 428 computations (14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.3% of total)

ival-add: 2.0ms (29.3% of total)

ival-mult: 2.0ms (29.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch43.0ms (1.1%)

Memory

8.3MiB live, 46.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0008105783715325085	81.16568437584831
31.0ms	-72.1402902541629	-5.309294607893827e-15

Samples

30.0ms

272×

valid

Compiler

Compiled 582 to 508 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (30% of total)

ival-add: 2.0ms (30% of total)

ival-mult: 2.0ms (30% of total)

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

exact: 0.0ms (0% of total)

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

simplify37.0ms (1%)

Memory

-25.7MiB live, 55.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	231
1	55	231
2	60	231
3	62	231
4	63	231

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(if (<=.f64 y #s(literal -75 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (.f64 y x)) z) (if (<=.f64 y #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 y #s(literal -1120000000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 80 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Outputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(if (<=.f64 y #s(literal -75 binary64)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (.f64 x y)) z) (if (<=.f64 y #s(literal 7378697629483821/9223372036854775808 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 x y)) z)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x y)) #s(literal -5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x y)) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 y #s(literal -1120000000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 x y)) (if (<=.f64 y #s(literal 80 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 x y)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 x y))

soundness872.0ms (22.6%)

Memory

-12.6MiB live, 438.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1522
1	223	1522
2	598	1522
3	1758	1522
4	3780	1522
5	5767	1522
6	7219	1522
0	8027	1364
0	8	22
0	12	22
1	52	18
2	452	18
3	6077	18
0	8040	17
0	57	440
1	174	440
2	488	440
3	1308	440
4	3612	440
5	6663	440
0	8194	412

Stop Event

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

Compiler

Compiled 296 to 116 computations (60.8% saved)

preprocess68.0ms (1.8%)

Memory: -0.8MiB live, 74.1MiB allocated
Compiler: Compiled 480 to 116 computations (75.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (30.7%)

explain92.0ms (2.4%)

preprocess74.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize24.0ms (0.6%)

series9.0ms (0.2%)

simplify111.0ms (2.9%)

rewrite186.0ms (4.8%)

eval38.0ms (1%)

prune9.0ms (0.2%)

simplify5.0ms (0.1%)

localize37.0ms (1%)

series17.0ms (0.4%)

simplify115.0ms (3%)

rewrite158.0ms (4.1%)

eval100.0ms (2.6%)

prune20.0ms (0.5%)

simplify4.0ms (0.1%)

localize36.0ms (0.9%)

series9.0ms (0.2%)

simplify119.0ms (3.1%)

rewrite247.0ms (6.4%)

eval53.0ms (1.4%)

prune16.0ms (0.4%)

regimes17.0ms (0.4%)

regimes31.0ms (0.8%)

regimes12.0ms (0.3%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

regimes15.0ms (0.4%)

bsearch25.0ms (0.7%)

bsearch1.0ms (0%)

bsearch56.0ms (1.4%)

bsearch43.0ms (1.1%)

simplify37.0ms (1%)

soundness872.0ms (22.6%)

preprocess68.0ms (1.8%)

end0.0ms (0%)

Profiling