Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, I

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated

analyze128.0ms (1.3%)

Memory

27.3MiB live, 222.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
50%	49.9%	49.9%	0.2%	0%	0%	0%	8
50%	49.9%	49.9%	0.2%	0%	0%	0%	9
50%	49.9%	49.9%	0.2%	0%	0%	0%	10
75%	74.8%	24.9%	0.2%	0%	0%	0%	11
75%	74.8%	24.9%	0.2%	0%	0%	0%	12

Compiler

Compiled 15 to 15 computations (0% saved)

sample1.1s (11.7%)

Memory

-10.5MiB live, 1 450.1MiB allocated

Samples

729.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-mult: 237.0ms (68.6% of total)

ival-div: 55.0ms (15.9% of total)

ival-sub: 36.0ms (10.4% of total)

exact: 8.0ms (2.3% of total)

ival-true: 6.0ms (1.7% of total)

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

Bogosity

explain115.0ms (1.2%)

Memory

30.1MiB live, 231.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
23	1	(-1.1506669505882826e-138 -5.727080611036851e-204 1.072802005853627e-89 -1.3953429999458552e-279 -5.168846932092918e-19)	-	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))`
2	0	-	-	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`
0	0	-	-	`(*.f64 a #s(literal 2 binary64))`
0	0	-	-	`a`
0	0	-	-	`t`
0	0	-	-	`(.f64 (.f64 z #s(literal 9 binary64)) t)`
0	0	-	-	`#s(literal 9 binary64)`
0	0	-	-	`z`
0	0	-	-	`(*.f64 z #s(literal 9 binary64))`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`y`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))`	o/n	22	0
↳	`(.f64 (.f64 z #s(literal 9 binary64)) t)`	overflow	31
↳	`(*.f64 x y)`	overflow	35
↳	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`	overflow	64
`/.f64`	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))`	u/n	2	0
↳	`(.f64 (.f64 z #s(literal 9 binary64)) t)`	underflow	29
↳	`(*.f64 x y)`	underflow	31
↳	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`	underflow	4
`-.f64`	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	35
↳	`(.f64 (.f64 z #s(literal 9 binary64)) t)`	overflow	31

Confusion

	Predicted +	Predicted -
+	24	0
-	1	231

Precision

0.96

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	24	0	0
-	1	0	231

Precision?

0.96

Recall?

1.0

Freqs

test

number	freq
0	231
1	24
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 146 to 56 computations (61.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 13.0ms (63.9% of total)

ival-div: 4.0ms (19.7% of total)

ival-sub: 2.0ms (9.8% of total)

exact: 1.0ms (4.9% of total)

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

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

preprocess382.0ms (3.9%)

Memory

3.6MiB live, 158.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	275
1	302	260
2	1041	260
3	3864	260
0	13	13
0	19	13
1	35	13
2	110	13
3	321	13
4	857	13
5	1479	13
6	2225	13
7	2905	13
8	4093	13
9	4871	13
10	5520	13
11	5565	13
12	5573	13
13	5573	13
14	6056	13
15	6208	13
16	6208	13
17	6208	13
18	6234	13
19	6234	13
20	6238	13
21	6242	13
22	6242	13
0	6242	12

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))

Outputs
(/.f64 (fma.f64 #s(literal -9/2 binary64) (.f64 t z) (.f64 #s(literal 1/2 binary64) (*.f64 y x))) a)

Symmetry

(negabs a)

(sort x y)

(sort z t)

Compiler

Compiled 13 to 13 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))

Compiler

Compiled 13 to 13 computations (0% saved)

simplify354.0ms (3.7%)

Memory

-8.4MiB live, 65.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 z #s(literal 9 binary64)) t)
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
cost-diff	128	(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
0	19	43
1	35	43
2	110	43
3	321	43
4	857	43
5	1479	43
6	2225	43
7	2905	43
8	4093	43
9	4871	43
10	5520	43
11	5565	43
12	5573	43
13	5573	43
14	6056	43
15	6208	43
16	6208	43
17	6208	43
18	6234	43
19	6234	43
20	6238	43
21	6242	43
22	6242	43
0	6242	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))
(*.f64 x y)
x
y
(.f64 (.f64 z #s(literal 9 binary64)) t)
(*.f64 z #s(literal 9 binary64))
z
#s(literal 9 binary64)
t
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)

Outputs
(/.f64 (fma.f64 #s(literal -9/2 binary64) (.f64 t z) (.f64 #s(literal 1/2 binary64) (*.f64 y x))) a)
(fma.f64 (.f64 #s(literal -9 binary64) z) t (.f64 y x))
(*.f64 y x)
x
y
(.f64 t (.f64 #s(literal 9 binary64) z))
(*.f64 #s(literal 9 binary64) z)
z
#s(literal 9 binary64)
t
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 2 binary64)

localize166.0ms (1.7%)

Memory

-3.6MiB live, 116.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a #s(literal 2 binary64))
accuracy	0.4570291858302058	(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))
accuracy	0.45916887031118103	(.f64 (.f64 z #s(literal 9 binary64)) t)
accuracy	5.547541971008882	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))

Samples

109.0ms

256×

valid

Compiler

Compiled 88 to 28 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 72.0ms (90.2% of total)

ival-mult: 6.0ms (7.5% of total)

ival-sub: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.5%)

Memory

-9.8MiB live, 26.7MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (.f64 (.f64 z #s(literal 9 binary64)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t)) #<representation binary64>) () ())) ())
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Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	((- (* x y) (* (* z 9) t)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* x y) (* (* z 9) t) (* a 2))
2.0ms	t	@	0	((- (* x y) (* (* z 9) t)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* x y) (* (* z 9) t) (* a 2))
2.0ms	a	@	0	((- (* x y) (* (* z 9) t)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* x y) (* (* z 9) t) (* a 2))
2.0ms	a	@	inf	((- (* x y) (* (* z 9) t)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* x y) (* (* z 9) t) (* a 2))
1.0ms	x	@	-inf	((- (* x y) (* (* z 9) t)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* x y) (* (* z 9) t) (* a 2))

simplify176.0ms (1.8%)

Memory

-15.8MiB live, 221.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1404
1	366	1404
2	1192	1404
3	4283	1404
0	8098	1320

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* x y)
(+ (* -9 (* t z)) (* x y))
(+ (* -9 (* t z)) (* x y))
(+ (* -9 (* t z)) (* x y))
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* -9 (* t z))
(* t (- (/ (* x y) t) (* 9 z)))
(* t (- (/ (* x y) t) (* 9 z)))
(* t (- (/ (* x y) t) (* 9 z)))
(* -9/2 (/ (* t z) a))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* -9 (* t z))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -9 z))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -9 z))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -9 z))))
(* -9/2 (/ (* t z) a))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* x y)
(+ (* -9 (* t z)) (* x y))
(+ (* -9 (* t z)) (* x y))
(+ (* -9 (* t z)) (* x y))
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* -9 (* t z))
(* z (- (/ (* x y) z) (* 9 t)))
(* z (- (/ (* x y) z) (* 9 t)))
(* z (- (/ (* x y) z) (* 9 t)))
(* -9/2 (/ (* t z) a))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* -9 (* t z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -9 t))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -9 t))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -9 t))))
(* -9/2 (/ (* t z) a))
(* -1 (* z (+ (* -1/2 (/ (* x y) (* a z))) (* 9/2 (/ t a)))))
(* -1 (* z (+ (* -1/2 (/ (* x y) (* a z))) (* 9/2 (/ t a)))))
(* -1 (* z (+ (* -1/2 (/ (* x y) (* a z))) (* 9/2 (/ t a)))))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* 9 (* t z))
(* -9 (* t z))
(- (* x y) (* 9 (* t z)))
(- (* x y) (* 9 (* t z)))
(- (* x y) (* 9 (* t z)))
(* -9/2 (/ (* t z) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* -9 (/ (* t z) y))))
(* y (+ x (* -9 (/ (* t z) y))))
(* y (+ x (* -9 (/ (* t z) y))))
(* 1/2 (/ (* x y) a))
(* y (+ (* -9/2 (/ (* t z) (* a y))) (* 1/2 (/ x a))))
(* y (+ (* -9/2 (/ (* t z) (* a y))) (* 1/2 (/ x a))))
(* y (+ (* -9/2 (/ (* t z) (* a y))) (* 1/2 (/ x a))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* 9 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* 9 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* 9 (/ (* t z) y)))))
(* 1/2 (/ (* x y) a))
(* -1 (* y (+ (* -1/2 (/ x a)) (* 9/2 (/ (* t z) (* a y))))))
(* -1 (* y (+ (* -1/2 (/ x a)) (* 9/2 (/ (* t z) (* a y))))))
(* -1 (* y (+ (* -1/2 (/ x a)) (* 9/2 (/ (* t z) (* a y))))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -9 (* t z))
(- (* x y) (* 9 (* t z)))
(- (* x y) (* 9 (* t z)))
(- (* x y) (* 9 (* t z)))
(* -9/2 (/ (* t z) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (* -9 (/ (* t z) x))))
(* x (+ y (* -9 (/ (* t z) x))))
(* x (+ y (* -9 (/ (* t z) x))))
(* 1/2 (/ (* x y) a))
(* x (+ (* -9/2 (/ (* t z) (* a x))) (* 1/2 (/ y a))))
(* x (+ (* -9/2 (/ (* t z) (* a x))) (* 1/2 (/ y a))))
(* x (+ (* -9/2 (/ (* t z) (* a x))) (* 1/2 (/ y a))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (* 9 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* 9 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* 9 (/ (* t z) x)))))
(* 1/2 (/ (* x y) a))
(* -1 (* x (+ (* -1/2 (/ y a)) (* 9/2 (/ (* t z) (* a x))))))
(* -1 (* x (+ (* -1/2 (/ y a)) (* 9/2 (/ (* t z) (* a x))))))
(* -1 (* x (+ (* -1/2 (/ y a)) (* 9/2 (/ (* t z) (* a x))))))
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) a)
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) a)
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) a)
(*.f64 y x)
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 #s(literal -9 binary64) (.f64 t z))
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 #s(literal -9 binary64) (.f64 t z))
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(*.f64 y x)
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 #s(literal -9 binary64) (.f64 t z))
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 #s(literal -9 binary64) (.f64 t z))
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (fma.f64 #s(literal -9 binary64) t (/.f64 (.f64 y x) z)) z)
(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 (.f64 t z) #s(literal 9 binary64))
(.f64 #s(literal -9 binary64) (.f64 t z))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 #s(literal -9 binary64) (.f64 t z))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(fma.f64 #s(literal -9 binary64) (.f64 t z) (.f64 y x))
(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 y a) (fma.f64 #s(literal -9/2 binary64) (/.f64 (.f64 t z) y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)

rewrite244.0ms (2.5%)

Memory

-9.9MiB live, 260.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
0	19	33
1	56	33
2	417	33
3	4984	33
0	8496	31

Stop Event

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

Counts

5 → 430

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
(*.f64 x y)
(.f64 (.f64 z #s(literal 9 binary64)) t)
(*.f64 a #s(literal 2 binary64))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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eval72.0ms (0.7%)

Memory: 3.6MiB live, 156.7MiB allocated
Compiler: Compiled 15 260 to 1 216 computations (92% saved)

prune39.0ms (0.4%)

Memory

20.1MiB live, 73.7MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	587	11	598
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	588	11	599

Accuracy

100.0%

Counts

599 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.4%	(fma.f64 (/.f64 z a) (neg.f64 (.f64 t #s(literal 9/2 binary64))) (.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) a)) y))
	88.3%	(fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 t) (*.f64 #s(literal 9/2 binary64) (/.f64 z a))))
	90.9%	(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) z) t (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
▶	91.3%	(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
▶	48.0%	(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
	50.2%	(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 #s(literal -9 binary64) (.f64 t z))) (*.f64 a #s(literal 2 binary64)))
▶	90.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))))
▶	90.8%	(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
	53.3%	(.f64 (fma.f64 t (.f64 #s(literal 9 binary64) z) (.f64 y x)) (/.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)) (.f64 (.f64 (fma.f64 t (.f64 #s(literal 9 binary64) z) (*.f64 y x)) #s(literal 2 binary64)) a)))
	48.8%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
▶	50.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))

Compiler

Compiled 372 to 322 computations (13.4% saved)

simplify176.0ms (1.8%)

Memory

-21.0MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 t z)
cost-diff	0	(fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))
cost-diff	0	(/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 t z)
cost-diff	0	(fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))
cost-diff	0	(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
cost-diff	0	(*.f64 a #s(literal 2 binary64))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (- (* x y) (* (* z 9) t)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
cost-diff	0	(/.f64 t a)
cost-diff	0	(*.f64 (/.f64 t a) #s(literal -9/2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
cost-diff	0	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 #s(literal -9 binary64) t)
cost-diff	0	(fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	195
0	50	195
1	93	192
2	194	192
3	469	192
4	1286	192
5	2362	192
6	3173	192
7	4249	192
8	5369	192
9	6521	192
10	6899	192
11	7044	192
12	7073	192
13	7149	192
14	7761	192
15	7944	192
0	8013	192

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x))
(*.f64 #s(literal -9 binary64) t)
#s(literal -9 binary64)
t
z
(*.f64 y x)
y
x
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
(*.f64 (/.f64 t a) #s(literal -9/2 binary64))
(/.f64 t a)
t
a
#s(literal -9/2 binary64)
z
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
#s(approx (- (* x y) (* (* z 9) t)) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
(fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))
(*.f64 t z)
t
z
#s(literal -9 binary64)
(*.f64 y x)
y
x
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))))
#s(literal 1/2 binary64)
(/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)))
a
(fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))
(*.f64 t z)
t
z
#s(literal -9 binary64)
(*.f64 y x)
y
x

Outputs
(.f64 (/.f64 (fma.f64 (.f64 z t) #s(literal -9 binary64) (*.f64 x y)) a) #s(literal 1/2 binary64))
(fma.f64 (.f64 z t) #s(literal -9 binary64) (.f64 x y))
(*.f64 t #s(literal -9 binary64))
#s(literal -9 binary64)
t
z
(*.f64 x y)
y
x
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 2 binary64)
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 #s(literal -9/2 binary64) a) z) t))
(.f64 (.f64 (/.f64 #s(literal -9/2 binary64) a) z) t)
(*.f64 (/.f64 #s(literal -9/2 binary64) a) t)
(/.f64 t a)
t
a
#s(literal -9/2 binary64)
z
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 x y)) (.f64 #s(literal 2 binary64) a))
#s(approx (- (* x y) (* (* z 9) t)) (*.f64 x y))
(*.f64 x y)
y
x
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 2 binary64)
(.f64 (/.f64 (fma.f64 (.f64 z t) #s(literal -9 binary64) (*.f64 x y)) a) #s(literal 1/2 binary64))
(fma.f64 (.f64 z t) #s(literal -9 binary64) (.f64 x y))
(*.f64 z t)
t
z
#s(literal -9 binary64)
(*.f64 x y)
y
x
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(.f64 (/.f64 (fma.f64 (.f64 z t) #s(literal -9 binary64) (*.f64 x y)) a) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 a (fma.f64 (.f64 z t) #s(literal -9 binary64) (.f64 x y)))
a
(fma.f64 (.f64 z t) #s(literal -9 binary64) (.f64 x y))
(*.f64 z t)
t
z
#s(literal -9 binary64)
(*.f64 x y)
y
x

localize95.0ms (1%)

Memory

33.3MiB live, 144.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t z)
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))))
accuracy	0.5468729358302058	(fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))
accuracy	5.72906086121488	(/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 t z)
accuracy	0.5468729358302058	(fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))
accuracy	5.588889480777324	(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 a #s(literal 2 binary64))
accuracy	5.547541971008882	(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
accuracy	31.79329017102836	#s(approx (- (* x y) (* (* z 9) t)) (*.f64 y x))
accuracy	0	(/.f64 t a)
accuracy	0.19140625	(*.f64 (/.f64 t a) #s(literal -9/2 binary64))
accuracy	6.512517524214705	(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
accuracy	28.940093338277208	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
accuracy	0	(*.f64 a #s(literal 2 binary64))
accuracy	0	(*.f64 #s(literal -9 binary64) t)
accuracy	0.3554659976055602	(fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x))
accuracy	5.547541971008882	(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 383 to 67 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 18.0ms (57.1% of total)

ival-div: 10.0ms (31.7% of total)

ival-add: 2.0ms (6.3% of total)

ival-sub: 1.0ms (3.2% of total)

exact: 1.0ms (3.2% of total)

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

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

series75.0ms (0.8%)

Memory

-13.2MiB live, 107.0MiB allocated

Counts

16 → 660

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -9 binary64) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 t a) #s(literal -9/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 t a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x y) (* (* z 9) t)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 a #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 t z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	((/ (+ (* (* -9 t) z) (* y x)) (* a 2)) (+ (* (* -9 t) z) (* y x)) (* -9 t) (* y x) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ t a) -9/2) z) (* (/ t a) -9/2) (/ t a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (- (* x y) (* (* z 9) t)) (* a 2) (* (+ (* (* t z) -9) (* y x)) (/ 1/2 a)) (+ (* (* t z) -9) (* y x)) (* t z) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))))
6.0ms	z	@	-inf	((/ (+ (* (* -9 t) z) (* y x)) (* a 2)) (+ (* (* -9 t) z) (* y x)) (* -9 t) (* y x) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ t a) -9/2) z) (* (/ t a) -9/2) (/ t a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (- (* x y) (* (* z 9) t)) (* a 2) (* (+ (* (* t z) -9) (* y x)) (/ 1/2 a)) (+ (* (* t z) -9) (* y x)) (* t z) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))))
3.0ms	t	@	-inf	((/ (+ (* (* -9 t) z) (* y x)) (* a 2)) (+ (* (* -9 t) z) (* y x)) (* -9 t) (* y x) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ t a) -9/2) z) (* (/ t a) -9/2) (/ t a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (- (* x y) (* (* z 9) t)) (* a 2) (* (+ (* (* t z) -9) (* y x)) (/ 1/2 a)) (+ (* (* t z) -9) (* y x)) (* t z) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))))
3.0ms	a	@	0	((/ (+ (* (* -9 t) z) (* y x)) (* a 2)) (+ (* (* -9 t) z) (* y x)) (* -9 t) (* y x) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ t a) -9/2) z) (* (/ t a) -9/2) (/ t a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (- (* x y) (* (* z 9) t)) (* a 2) (* (+ (* (* t z) -9) (* y x)) (/ 1/2 a)) (+ (* (* t z) -9) (* y x)) (* t z) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))))
3.0ms	t	@	inf	((/ (+ (* (* -9 t) z) (* y x)) (* a 2)) (+ (* (* -9 t) z) (* y x)) (* -9 t) (* y x) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ t a) -9/2) z) (* (/ t a) -9/2) (/ t a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (- (* x y) (* (* z 9) t)) (* a 2) (* (+ (* (* t z) -9) (* y x)) (/ 1/2 a)) (+ (* (* t z) -9) (* y x)) (* t z) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))))

simplify205.0ms (2.1%)

Memory

30.8MiB live, 218.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	7708
1	1531	7688
2	6055	7672
0	8095	7256

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

Inputs
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ t a))
(* -9/2 (/ t a))
(* -9/2 (/ t a))
(* -9/2 (/ t a))
(/ t a)
(/ t a)
(/ t a)
(/ t a)
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
(/ a (+ (* -9 (* t z)) (* x y)))
(/ a (+ (* -9 (* t z)) (* x y)))
(/ a (+ (* -9 (* t z)) (* x y)))
(/ a (+ (* -9 (* t z)) (* x y)))
(* 1/2 (/ (+ (* -9 (* t z)) (* x y)) a))
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(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) a) (.f64 z (/.f64 t (.f64 y y))) (/.f64 (fma.f64 (.f64 #s(literal -729 binary64) (/.f64 a x)) (/.f64 (.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 #s(literal -81 binary64) a) (/.f64 (.f64 (.f64 (.f64 t t) z) z) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) x) (/.f64 a y)) x)

rewrite259.0ms (2.7%)

Memory

-43.3MiB live, 248.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	140
0	50	140
1	182	137
2	1022	137
0	9429	137

Stop Event

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

Counts

16 → 1 497

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x))
(*.f64 #s(literal -9 binary64) t)
(*.f64 y x)
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
(.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z)
(*.f64 (/.f64 t a) #s(literal -9/2 binary64))
(/.f64 t a)
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
#s(approx (- (* x y) (* (* z 9) t)) (*.f64 y x))
(*.f64 a #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
(fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))
(*.f64 t z)
(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))))
(/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)))

Outputs
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eval360.0ms (3.7%)

Memory: 67.6MiB live, 710.3MiB allocated
Compiler: Compiled 63 883 to 2 642 computations (95.9% saved)

prune97.0ms (1%)

Memory

-21.2MiB live, 248.4MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	2 446	13	2 459
Fresh	5	1	6
Picked	1	4	5
Done	0	0	0
Total	2 452	18	2 470

Accuracy

100.0%

Counts

2 470 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.0%	(fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a))))
✓	91.3%	(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
✓	48.0%	(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
▶	48.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
	30.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ (* (* t z) -9) (* y x))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) a) (.f64 z (/.f64 t (.f64 y y))) (.f64 (/.f64 #s(literal 81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 t t) z) z) a) x))) x) (/.f64 a y)) x)))
✓	90.8%	(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
▶	48.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
	86.3%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (fma.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x (.f64 (*.f64 (/.f64 z a) #s(literal -9/2 binary64)) t)))
	50.2%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a))
	50.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 #s(literal -9/2 binary64) z) (/.f64 a t)))
	83.7%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 x y) a) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z a) #s(literal -9/2 binary64))) t))
	50.8%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 (.f64 #s(literal -9/2 binary64) t) a) z))
▶	52.0%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
	48.8%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
✓	50.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
	50.2%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
	50.2%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
▶	51.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))

Compiler

Compiled 716 to 595 computations (16.9% saved)

simplify156.0ms (1.6%)

Memory

28.0MiB live, 143.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))
cost-diff	0	(/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (- (* x y) (* (* z 9) t)) (*.f64 x y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
cost-diff	0	(/.f64 z a)
cost-diff	0	(*.f64 (/.f64 z a) t)
cost-diff	0	(.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))
cost-diff	0	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
cost-diff	0	(/.f64 #s(literal -9/2 binary64) a)
cost-diff	0	(*.f64 (/.f64 #s(literal -9/2 binary64) a) z)
cost-diff	0	(.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))
cost-diff	0	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
cost-diff	0	(/.f64 x a)
cost-diff	128	(.f64 (neg.f64 z) (.f64 #s(literal 9/2 binary64) (/.f64 t a)))
cost-diff	704	(fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	218
0	62	220
1	119	220
2	272	216
3	575	216
4	1224	216
5	1884	215
6	2611	215
7	3613	215
8	4873	215
9	5908	215
10	6381	215
11	6627	215
12	6650	215
13	7596	215
14	7965	215
0	8009	207

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a))))
(/.f64 x a)
x
a
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(.f64 (neg.f64 z) (.f64 #s(literal 9/2 binary64) (/.f64 t a)))
(neg.f64 z)
z
(*.f64 #s(literal 9/2 binary64) (/.f64 t a))
#s(literal 9/2 binary64)
(/.f64 t a)
t
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
(.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))
t
(*.f64 (/.f64 #s(literal -9/2 binary64) a) z)
(/.f64 #s(literal -9/2 binary64) a)
#s(literal -9/2 binary64)
a
z
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
(.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))
(*.f64 (/.f64 z a) t)
(/.f64 z a)
z
a
t
#s(literal -9/2 binary64)
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
#s(approx (- (* x y) (* (* z 9) t)) (*.f64 x y))
(*.f64 x y)
x
y
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
#s(literal 1/2 binary64)
(/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)))
a
#s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))
(*.f64 x y)
x
y

Outputs
(.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (.f64 #s(literal -9 binary64) t) z (*.f64 y x)))
(/.f64 x a)
x
a
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal -9/2 binary64) a) (.f64 t z))
(neg.f64 z)
z
(*.f64 (/.f64 t a) #s(literal 9/2 binary64))
#s(literal 9/2 binary64)
(/.f64 t a)
t
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 #s(literal -9/2 binary64) a) (.f64 t z)))
(.f64 (/.f64 #s(literal -9/2 binary64) a) (.f64 t z))
t
(*.f64 (/.f64 #s(literal -9/2 binary64) a) z)
(/.f64 #s(literal -9/2 binary64) a)
#s(literal -9/2 binary64)
a
z
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 #s(literal -9/2 binary64) a) (.f64 t z)))
(.f64 (/.f64 #s(literal -9/2 binary64) a) (.f64 t z))
(*.f64 (/.f64 z a) t)
(/.f64 z a)
z
a
t
#s(literal -9/2 binary64)
(.f64 #s(approx (+ ( (* t z) -9) (* y x)) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
#s(approx (+ (* (* t z) -9) (* y x)) (*.f64 y x))
(*.f64 y x)
x
y
(.f64 #s(approx (+ ( (* t z) -9) (* y x)) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
#s(literal 1/2 binary64)
(/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 y x)))
a
#s(approx (+ (* (* t z) -9) (* y x)) (*.f64 y x))
(*.f64 y x)
x
y

localize156.0ms (1.6%)

Memory

-75.1MiB live, 171.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.19140625	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
accuracy	5.72906086121488	(/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)))
accuracy	31.79329017102836	#s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))
accuracy	0	(/.f64 #s(literal 1/2 binary64) a)
accuracy	0	(*.f64 x y)
accuracy	5.588889480777324	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
accuracy	31.79329017102836	#s(approx (- (* x y) (* (* z 9) t)) (*.f64 x y))
accuracy	0	(/.f64 z a)
accuracy	0.203125	(.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))
accuracy	6.368547040302839	(*.f64 (/.f64 z a) t)
accuracy	28.940093338277208	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
accuracy	0	(/.f64 #s(literal -9/2 binary64) a)
accuracy	0.1796875	(*.f64 (/.f64 #s(literal -9/2 binary64) a) z)
accuracy	6.384758532528128	(.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))
accuracy	28.940093338277208	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
accuracy	0	(neg.f64 z)
accuracy	0.19140625	(*.f64 #s(literal 9/2 binary64) (/.f64 t a))
accuracy	3.5531404852098745	(fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a))))
accuracy	6.512517524214705	(.f64 (neg.f64 z) (.f64 #s(literal 9/2 binary64) (/.f64 t a)))

Samples

112.0ms

256×

valid

Compiler

Compiled 403 to 84 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 41.0ms (51.8% of total)

ival-div: 32.0ms (40.4% of total)

ival-add: 4.0ms (5.1% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series111.0ms (1.1%)

Memory

18.5MiB live, 129.7MiB allocated

Counts

21 → 768

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (neg.f64 z) (.f64 #s(literal 9/2 binary64) (/.f64 t a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -9/2 binary64) a) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -9/2 binary64) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 z a) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z a) #<representation binary64>) () ())
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Outputs
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x a) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	((+ (* (/ x a) (* y 1/2)) (* (neg z) (* 9/2 (/ t a)))) (* (neg z) (* 9/2 (/ t a))) (/ x a) (* y 1/2) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (* (/ -9/2 a) z)) (* (/ -9/2 a) z) (/ -9/2 a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ z a) t) -9/2) (* (/ z a) t) (/ z a) (* (/ 1/2 a) (- (* x y) (* (* z 9) t))) (/ 1/2 a) (- (* x y) (* (* z 9) t)) (* x y) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))) (+ (* (* t z) -9) (* y x)) (* 9/2 (/ t a)) (neg z))
9.0ms	a	@	-inf	((+ (* (/ x a) (* y 1/2)) (* (neg z) (* 9/2 (/ t a)))) (* (neg z) (* 9/2 (/ t a))) (/ x a) (* y 1/2) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (* (/ -9/2 a) z)) (* (/ -9/2 a) z) (/ -9/2 a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ z a) t) -9/2) (* (/ z a) t) (/ z a) (* (/ 1/2 a) (- (* x y) (* (* z 9) t))) (/ 1/2 a) (- (* x y) (* (* z 9) t)) (* x y) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))) (+ (* (* t z) -9) (* y x)) (* 9/2 (/ t a)) (neg z))
5.0ms	t	@	0	((+ (* (/ x a) (* y 1/2)) (* (neg z) (* 9/2 (/ t a)))) (* (neg z) (* 9/2 (/ t a))) (/ x a) (* y 1/2) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (* (/ -9/2 a) z)) (* (/ -9/2 a) z) (/ -9/2 a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ z a) t) -9/2) (* (/ z a) t) (/ z a) (* (/ 1/2 a) (- (* x y) (* (* z 9) t))) (/ 1/2 a) (- (* x y) (* (* z 9) t)) (* x y) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))) (+ (* (* t z) -9) (* y x)) (* 9/2 (/ t a)) (neg z))
4.0ms	a	@	0	((+ (* (/ x a) (* y 1/2)) (* (neg z) (* 9/2 (/ t a)))) (* (neg z) (* 9/2 (/ t a))) (/ x a) (* y 1/2) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (* (/ -9/2 a) z)) (* (/ -9/2 a) z) (/ -9/2 a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ z a) t) -9/2) (* (/ z a) t) (/ z a) (* (/ 1/2 a) (- (* x y) (* (* z 9) t))) (/ 1/2 a) (- (* x y) (* (* z 9) t)) (* x y) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))) (+ (* (* t z) -9) (* y x)) (* 9/2 (/ t a)) (neg z))
4.0ms	a	@	inf	((+ (* (/ x a) (* y 1/2)) (* (neg z) (* 9/2 (/ t a)))) (* (neg z) (* 9/2 (/ t a))) (/ x a) (* y 1/2) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (* (/ -9/2 a) z)) (* (/ -9/2 a) z) (/ -9/2 a) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ z a) t) -9/2) (* (/ z a) t) (/ z a) (* (/ 1/2 a) (- (* x y) (* (* z 9) t))) (/ 1/2 a) (- (* x y) (* (* z 9) t)) (* x y) (/ 1/2 (/ a (+ (* (* t z) -9) (* y x)))) (/ a (+ (* (* t z) -9) (* y x))) (+ (* (* t z) -9) (* y x)) (* 9/2 (/ t a)) (neg z))

simplify175.0ms (1.8%)

Memory

28.9MiB live, 179.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	461	8156
1	1553	8136
2	6122	8120
0	8166	7740

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 768

Calls

Call 1

Inputs
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ z a))
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(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
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(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
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(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
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(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
(*.f64 y x)
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(*.f64 y x)
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(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
(/.f64 a (*.f64 y x))
(/.f64 (fma.f64 (.f64 #s(literal 9 binary64) (/.f64 (/.f64 a x) x)) (/.f64 (.f64 t z) y) (/.f64 a x)) y)
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(*.f64 y x)
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(.f64 (fma.f64 (/.f64 (.f64 t z) x) #s(literal -9 binary64) y) x)
(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
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(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
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(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
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(.f64 (fma.f64 (/.f64 y a) #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (*.f64 t z) a) x) #s(literal -9/2 binary64))) x)
(/.f64 a (*.f64 y x))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) (/.f64 a x)) (/.f64 (/.f64 (.f64 t z) y) y) (/.f64 a (neg.f64 y))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) a) (/.f64 (/.f64 (.f64 t z) y) y) (.f64 (/.f64 #s(literal 81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 (*.f64 t t) z) z) a) x))) x) (/.f64 a y)) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) a) (/.f64 (/.f64 (.f64 t z) y) y) (/.f64 (fma.f64 (.f64 #s(literal -729 binary64) (/.f64 a x)) (/.f64 (.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 #s(literal -81 binary64) a) (/.f64 (.f64 (.f64 (*.f64 t t) z) z) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) x) (/.f64 a y)) x)
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(.f64 (fma.f64 (/.f64 (.f64 t z) x) #s(literal -9 binary64) y) x)
(.f64 (fma.f64 (/.f64 (.f64 t z) x) #s(literal -9 binary64) y) x)
(.f64 (fma.f64 (/.f64 (.f64 t z) x) #s(literal -9 binary64) y) x)

rewrite191.0ms (2%)

Memory

-24.1MiB live, 256.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	189
0	62	191
1	208	191
2	1287	186
0	8578	178

Stop Event

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

Counts

21 → 912

Calls

Call 1

Inputs
(fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a))))
(.f64 (neg.f64 z) (.f64 #s(literal 9/2 binary64) (/.f64 t a)))
(/.f64 x a)
(*.f64 y #s(literal 1/2 binary64))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
(.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))
(*.f64 (/.f64 #s(literal -9/2 binary64) a) z)
(/.f64 #s(literal -9/2 binary64) a)
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
(.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64))
(*.f64 (/.f64 z a) t)
(/.f64 z a)
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
(/.f64 #s(literal 1/2 binary64) a)
#s(approx (- (* x y) (* (* z 9) t)) (*.f64 x y))
(*.f64 x y)
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
(/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y)))
#s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))
(*.f64 #s(literal 9/2 binary64) (/.f64 t a))
(neg.f64 z)

Outputs
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eval491.0ms (5.1%)

Memory: 55.3MiB live, 427.4MiB allocated
Compiler: Compiled 40 847 to 2 347 computations (94.3% saved)

prune115.0ms (1.2%)

Memory

-13.0MiB live, 286.7MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 701	5	1 706
Fresh	4	5	9
Picked	1	4	5
Done	1	3	4
Total	1 707	17	1 724

Accuracy

100.0%

Counts

1 724 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.4%	(fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y))
✓	91.3%	(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
✓	48.0%	(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
✓	48.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
	30.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ (* (* t z) -9) (* y x))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) a) (.f64 z (/.f64 t (.f64 y y))) (.f64 (/.f64 #s(literal 81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 t t) z) z) a) x))) x) (/.f64 a y)) x)))
✓	90.8%	(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
✓	48.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
	50.2%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a))
	50.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 #s(literal -9/2 binary64) z) (/.f64 a t)))
	83.7%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 x y) a) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z a) #s(literal -9/2 binary64))) t))
✓	52.0%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
▶	48.8%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
▶	50.1%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
▶	50.2%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
	50.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
▶	51.6%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
✓	51.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))

Compiler

Compiled 609 to 507 computations (16.7% saved)

simplify201.0ms (2.1%)

Memory

-4.1MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 t) z)
cost-diff	0	(.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64))
cost-diff	0	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
cost-diff	448	(.f64 (.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a))
cost-diff	0	(*.f64 #s(literal 9/2 binary64) t)
cost-diff	0	(.f64 (.f64 #s(literal 9/2 binary64) t) z)
cost-diff	0	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
cost-diff	320	(.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a))
cost-diff	0	(/.f64 y a)
cost-diff	0	(*.f64 (/.f64 y a) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
cost-diff	0	(*.f64 #s(literal -9/2 binary64) z)
cost-diff	0	(/.f64 (*.f64 #s(literal -9/2 binary64) z) a)
cost-diff	0	(.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a))
cost-diff	0	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
cost-diff	0	(.f64 (.f64 (/.f64 x a) #s(literal 1/2 binary64)) y)
cost-diff	0	(*.f64 #s(literal -9/2 binary64) t)
cost-diff	0	(/.f64 z a)
cost-diff	704	(fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	226
0	62	216
1	123	216
2	313	215
3	786	213
4	1615	213
5	3080	212
6	4430	212
7	5309	212
8	5967	212
9	6085	212
10	6109	212
11	7273	212
12	7689	212
13	7760	212
14	7820	212
15	7873	212
16	7875	212
17	7875	212
0	8010	207

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y))
(/.f64 z a)
z
a
(*.f64 #s(literal -9/2 binary64) t)
#s(literal -9/2 binary64)
t
(.f64 (.f64 (/.f64 x a) #s(literal 1/2 binary64)) y)
(*.f64 (/.f64 x a) #s(literal 1/2 binary64))
(/.f64 x a)
x
#s(literal 1/2 binary64)
y
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
(.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a))
t
(/.f64 (*.f64 #s(literal -9/2 binary64) z) a)
(*.f64 #s(literal -9/2 binary64) z)
#s(literal -9/2 binary64)
z
a
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 y a) #s(literal 1/2 binary64))
(/.f64 y a)
y
a
#s(literal 1/2 binary64)
x
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
(.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a))
(.f64 (.f64 #s(literal 9/2 binary64) t) z)
(*.f64 #s(literal 9/2 binary64) t)
#s(literal 9/2 binary64)
t
z
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64))
(.f64 (.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a))
(*.f64 (neg.f64 t) z)
(neg.f64 t)
t
z
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
#s(literal -9/2 binary64)

Outputs
(.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (.f64 #s(literal -9 binary64) t) z (*.f64 y x)))
(/.f64 z a)
z
a
(*.f64 t #s(literal -9/2 binary64))
#s(literal -9/2 binary64)
t
(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x a)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x a))
(/.f64 x a)
x
#s(literal 1/2 binary64)
y
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 #s(literal -9/2 binary64) (/.f64 z a)) t))
(.f64 (.f64 #s(literal -9/2 binary64) (/.f64 z a)) t)
t
(*.f64 #s(literal -9/2 binary64) (/.f64 z a))
(*.f64 #s(literal -9/2 binary64) z)
#s(literal -9/2 binary64)
z
a
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x a))))
(.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 x a)))
(*.f64 (/.f64 y a) #s(literal 1/2 binary64))
(/.f64 y a)
y
a
#s(literal 1/2 binary64)
x
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 #s(literal -9/2 binary64) (/.f64 z a)) t))
(.f64 (.f64 #s(literal -9/2 binary64) (/.f64 z a)) t)
(.f64 (.f64 #s(literal 9/2 binary64) t) z)
(*.f64 #s(literal 9/2 binary64) t)
#s(literal 9/2 binary64)
t
z
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 #s(literal -9/2 binary64) (/.f64 z a)) t))
(.f64 (.f64 #s(literal -9/2 binary64) (/.f64 z a)) t)
(*.f64 (/.f64 t a) z)
(*.f64 (neg.f64 t) z)
(neg.f64 t)
t
z
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
#s(literal -9/2 binary64)

localize160.0ms (1.6%)

Memory

-13.3MiB live, 179.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 t)
accuracy	0.203125	(.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64))
accuracy	4.663636572927912	(.f64 (.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a))
accuracy	28.940093338277208	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
accuracy	0	(*.f64 #s(literal 9/2 binary64) t)
accuracy	0.2109375	(.f64 (.f64 #s(literal 9/2 binary64) t) z)
accuracy	4.666410553185181	(.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a))
accuracy	28.940093338277208	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
accuracy	0	(/.f64 y a)
accuracy	0.00390625	(*.f64 (/.f64 y a) #s(literal 1/2 binary64))
accuracy	5.225375461316114	(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
accuracy	30.632188965202527	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
accuracy	0	(*.f64 #s(literal -9/2 binary64) z)
accuracy	0.43027714842192133	(/.f64 (*.f64 #s(literal -9/2 binary64) z) a)
accuracy	6.384758532528128	(.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a))
accuracy	28.940093338277208	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
accuracy	0	(*.f64 #s(literal -9/2 binary64) t)
accuracy	0.00390625	(*.f64 (/.f64 x a) #s(literal 1/2 binary64))
accuracy	3.7389344161509284	(.f64 (.f64 (/.f64 x a) #s(literal 1/2 binary64)) y)
accuracy	5.511972097451913	(fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y))

Samples

134.0ms

256×

valid

Compiler

Compiled 418 to 81 computations (80.6% saved)

Precisions

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

ival-mult: 35.0ms (56.1% of total)

ival-div: 23.0ms (36.9% of total)

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

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

exact: 1.0ms (1.6% of total)

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

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

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

series86.0ms (0.9%)

Memory

24.6MiB live, 98.3MiB allocated

Counts

22 → 732

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -9/2 binary64) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 x a) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal -9/2 binary64) z) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -9/2 binary64) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 y a) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a))) #<representation binary64>) () ())
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Outputs
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Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	((+ (* (/ z a) (* -9/2 t)) (* (* (/ x a) 1/2) y)) (/ z a) (* -9/2 t) (* (* (/ x a) 1/2) y) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (/ (* -9/2 z) a)) (/ (* -9/2 z) a) (* -9/2 z) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ y a) 1/2) x) (* (/ y a) 1/2) (/ y a) (* (* (* 9/2 t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* 9/2 t) z) (* 9/2 t) (* (* (neg t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (* (neg t) z) (/ -1 a)) -9/2) (* (neg t) z) (* (/ x a) 1/2) (neg t))
3.0ms	a	@	-inf	((+ (* (/ z a) (* -9/2 t)) (* (* (/ x a) 1/2) y)) (/ z a) (* -9/2 t) (* (* (/ x a) 1/2) y) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (/ (* -9/2 z) a)) (/ (* -9/2 z) a) (* -9/2 z) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ y a) 1/2) x) (* (/ y a) 1/2) (/ y a) (* (* (* 9/2 t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* 9/2 t) z) (* 9/2 t) (* (* (neg t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (* (neg t) z) (/ -1 a)) -9/2) (* (neg t) z) (* (/ x a) 1/2) (neg t))
3.0ms	a	@	0	((+ (* (/ z a) (* -9/2 t)) (* (* (/ x a) 1/2) y)) (/ z a) (* -9/2 t) (* (* (/ x a) 1/2) y) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (/ (* -9/2 z) a)) (/ (* -9/2 z) a) (* -9/2 z) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ y a) 1/2) x) (* (/ y a) 1/2) (/ y a) (* (* (* 9/2 t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* 9/2 t) z) (* 9/2 t) (* (* (neg t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (* (neg t) z) (/ -1 a)) -9/2) (* (neg t) z) (* (/ x a) 1/2) (neg t))
3.0ms	a	@	inf	((+ (* (/ z a) (* -9/2 t)) (* (* (/ x a) 1/2) y)) (/ z a) (* -9/2 t) (* (* (/ x a) 1/2) y) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (/ (* -9/2 z) a)) (/ (* -9/2 z) a) (* -9/2 z) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ y a) 1/2) x) (* (/ y a) 1/2) (/ y a) (* (* (* 9/2 t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* 9/2 t) z) (* 9/2 t) (* (* (neg t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (* (neg t) z) (/ -1 a)) -9/2) (* (neg t) z) (* (/ x a) 1/2) (neg t))
2.0ms	t	@	inf	((+ (* (/ z a) (* -9/2 t)) (* (* (/ x a) 1/2) y)) (/ z a) (* -9/2 t) (* (* (/ x a) 1/2) y) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* t (/ (* -9/2 z) a)) (/ (* -9/2 z) a) (* -9/2 z) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (/ y a) 1/2) x) (* (/ y a) 1/2) (/ y a) (* (* (* 9/2 t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* 9/2 t) z) (* 9/2 t) (* (* (neg t) z) (/ -1 a)) (/ (- (* x y) (* (* z 9) t)) (* a 2)) (* (* (* (neg t) z) (/ -1 a)) -9/2) (* (neg t) z) (* (/ x a) 1/2) (neg t))

simplify228.0ms (2.4%)

Memory

-30.7MiB live, 289.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	5832
1	269	5832
2	907	5832
3	3475	5832
4	6403	5832
0	8439	5592

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

Calls

Call 1

Inputs
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ z a)
(/ z a)
(/ z a)
(/ z a)
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ y a))
(* 1/2 (/ y a))
(* 1/2 (/ y a))
(* 1/2 (/ y a))
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* 1/2 (/ x a))
(* 1/2 (/ x a))
(* 1/2 (/ x a))
(* 1/2 (/ x a))
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ (+ (* -9/2 (* t z)) (* 1/2 (* x y))) a)
(/ z a)
(/ z a)
(/ z a)
(/ z a)
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ y a))
(* 1/2 (/ y a))
(* 1/2 (/ y a))
(* 1/2 (/ y a))
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* 1/2 (/ x a))
(* 1/2 (/ x a))
(* 1/2 (/ x a))
(* 1/2 (/ x a))
(* -1 (/ (+ (* -1/2 (* x y)) (* 9/2 (* t z))) a))
(* -1 (/ (+ (* -1/2 (* x y)) (* 9/2 (* t z))) a))
(* -1 (/ (+ (* -1/2 (* x y)) (* 9/2 (* t z))) a))
(* -1 (/ (+ (* -1/2 (* x y)) (* 9/2 (* t z))) a))
(/ z a)
(/ z a)
(/ z a)
(/ z a)
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ (* x y) a))
(* 1/2 (/ y a))
(* 1/2 (/ y a))
(* 1/2 (/ y a))
(* 1/2 (/ y a))
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* 1/2 (/ (- (* x y) (* 9 (* t z))) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* 1/2 (/ x a))
(* 1/2 (/ x a))
(* 1/2 (/ x a))
(* 1/2 (/ x a))
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* -9/2 t)
(* -9/2 t)
(* -9/2 t)
(* -9/2 t)
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 t)
(* 9/2 t)
(* 9/2 t)
(* 9/2 t)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -9/2 (/ (* t z) a))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* -9/2 t)
(* -9/2 t)
(* -9/2 t)
(* -9/2 t)
(* -9/2 (/ (* t z) a))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 t)
(* 9/2 t)
(* 9/2 t)
(* 9/2 t)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(* -9/2 (/ (* t z) a))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* t (+ (* -9/2 (/ z a)) (* 1/2 (/ (* x y) (* a t)))))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -9/2 (/ (* t z) a))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -9/2 t)
(* -9/2 t)
(* -9/2 t)
(* -9/2 t)
(* -9/2 (/ (* t z) a))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 t)
(* 9/2 t)
(* 9/2 t)
(* 9/2 t)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(* -9/2 (/ (* t z) a))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -1 (* t (+ (* -1/2 (/ (* x y) (* a t))) (* 9/2 (/ z a)))))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(/ z a)
(/ z a)
(/ z a)
(/ z a)
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 z)
(* -9/2 z)
(* -9/2 z)
(* -9/2 z)
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 (* t z))
(* 9/2 (* t z))
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(* 1/2 (/ (* x y) a))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(+ (* -9/2 (/ (* t z) a)) (* 1/2 (/ (* x y) a)))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -9/2 (/ (* t z) a))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(/ z a)
(/ z a)
(/ z a)
(/ z a)
(* -9/2 (/ (* t z) a))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 (/ z a))
(* -9/2 z)
(* -9/2 z)
(* -9/2 z)
(* -9/2 z)
(* -9/2 (/ (* t z) a))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* z (+ (* -9/2 (/ t a)) (* 1/2 (/ (* x y) (* a z)))))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
(* -9/2 (/ (* t z) a))
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(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
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(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (.f64 t z) (*.f64 y x)) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 x a) #s(literal 1/2 binary64))
(*.f64 (/.f64 x a) #s(literal 1/2 binary64))
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(*.f64 (/.f64 x a) #s(literal 1/2 binary64))

rewrite316.0ms (3.3%)

Memory

6.5MiB live, 208.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	192
0	62	182
1	183	181
2	1088	178
0	8482	173

Stop Event

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

Counts

22 → 1 028

Calls

Call 1

Inputs
(fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y))
(/.f64 z a)
(*.f64 #s(literal -9/2 binary64) t)
(.f64 (.f64 (/.f64 x a) #s(literal 1/2 binary64)) y)
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
(.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a))
(/.f64 (*.f64 #s(literal -9/2 binary64) z) a)
(*.f64 #s(literal -9/2 binary64) z)
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 y a) #s(literal 1/2 binary64))
(/.f64 y a)
(.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
(.f64 (.f64 #s(literal 9/2 binary64) t) z)
(*.f64 #s(literal 9/2 binary64) t)
(.f64 (.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64))
(*.f64 (neg.f64 t) z)
(*.f64 (/.f64 x a) #s(literal 1/2 binary64))
(neg.f64 t)

Outputs
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eval332.0ms (3.4%)

Memory: 26.7MiB live, 495.9MiB allocated
Compiler: Compiled 42 534 to 2 324 computations (94.5% saved)

prune157.0ms (1.6%)

Memory

18.8MiB live, 362.4MiB allocated

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	1 758	2	1 760
Fresh	1	4	5
Picked	0	5	5
Done	1	6	7
Total	1 760	17	1 777

Accuracy

100.0%

Counts

1 777 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.4%	(fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y))
✓	91.3%	(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
✓	48.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
✓	90.8%	(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
✓	48.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
	50.2%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a))
	50.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 #s(literal -9/2 binary64) z) (/.f64 a t)))
	49.0%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a y) (*.f64 #s(literal 1/2 binary64) x))))
	83.7%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 x y) a) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z a) #s(literal -9/2 binary64))) t))
	48.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))
✓	52.0%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
✓	48.8%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
✓	50.1%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
✓	50.2%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
	50.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
✓	51.6%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
✓	51.9%	#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))

Compiler

Compiled 990 to 459 computations (53.6% saved)

regimes129.0ms (1.3%)

Memory

-50.7MiB live, 293.8MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 (.f64 #s(literal -9/2 binary64) t) a) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 #s(literal -9 binary64) (.f64 t z))) (*.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 #s(literal -9/2 binary64) z) (/.f64 a t)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) z) t (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a y) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (fma.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x (.f64 (*.f64 (/.f64 z a) #s(literal -9/2 binary64)) t)))
(fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y))
(fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 t) (*.f64 #s(literal 9/2 binary64) (/.f64 z a))))
(fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 9/2 binary64) (/.f64 t a))))
(fma.f64 (/.f64 z a) (neg.f64 (.f64 t #s(literal 9/2 binary64))) (.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) a)) y))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 x y) a) t) #s(literal 1/2 binary64) (*.f64 (/.f64 z a) #s(literal -9/2 binary64))) t))
(.f64 (fma.f64 t (.f64 #s(literal 9 binary64) z) (.f64 y x)) (/.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x)) (.f64 (.f64 (fma.f64 t (.f64 #s(literal 9 binary64) z) (*.f64 y x)) #s(literal 2 binary64)) a)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ (* (* t z) -9) (* y x))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 9 binary64) a) (.f64 z (/.f64 t (.f64 y y))) (.f64 (/.f64 #s(literal 81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 t t) z) z) a) x))) x) (/.f64 a y)) x)))

Outputs

(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) z) t (*.f64 y x)) (*.f64 a #s(literal 2 binary64)))

(fma.f64 (/.f64 x a) (*.f64 y #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) (*.f64 #s(literal 9/2 binary64) (/.f64 z a))))

Calls

11 calls:

18.0ms	(.f64 (.f64 z #s(literal 9 binary64)) t)
14.0ms	y
11.0ms	(*.f64 z #s(literal 9 binary64))
11.0ms	z
11.0ms	(*.f64 a #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.8%	2	`x`
95.7%	3	`y`
91.3%	1	`z`
93.0%	2	`t`
97.3%	2	`a`
97.3%	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))`
98.5%	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`
96.7%	3	`(*.f64 x y)`
95.7%	3	`(.f64 (.f64 z #s(literal 9 binary64)) t)`
91.3%	1	`(*.f64 z #s(literal 9 binary64))`
97.3%	2	`(*.f64 a #s(literal 2 binary64))`

Compiler

Compiled 41 to 76 computations (-85.4% saved)

regimes19.0ms (0.2%)

Memory

13.4MiB live, 50.8MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 (.f64 #s(literal -9/2 binary64) t) a) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 #s(literal -9 binary64) (.f64 t z))) (*.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 #s(literal -9/2 binary64) z) (/.f64 a t)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) z) t (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a y) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (fma.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x (.f64 (*.f64 (/.f64 z a) #s(literal -9/2 binary64)) t)))
(fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y))

Outputs

(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) z) t (*.f64 y x)) (*.f64 a #s(literal 2 binary64)))

(fma.f64 (/.f64 z a) (*.f64 #s(literal -9/2 binary64) t) (*.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y))

Calls

2 calls:

10.0ms	a
8.0ms	(*.f64 a #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.2%	2	`a`
97.2%	2	`(*.f64 a #s(literal 2 binary64))`

Compiler

Compiled 4 to 12 computations (-200% saved)

regimes27.0ms (0.3%)

Memory

30.2MiB live, 67.6MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 (.f64 #s(literal -9/2 binary64) t) a) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 #s(literal -9 binary64) (.f64 t z))) (*.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 #s(literal -9/2 binary64) z) (/.f64 a t)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) z) t (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a y) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (fma.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x (.f64 (*.f64 (/.f64 z a) #s(literal -9/2 binary64)) t)))

Outputs

(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) z) t (*.f64 y x)) (*.f64 a #s(literal 2 binary64)))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (fma.f64 (*.f64 (/.f64 y a) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (/.f64 z a) #s(literal -9/2 binary64)) t)))

Calls

3 calls:

9.0ms	a
8.0ms	(*.f64 a #s(literal 2 binary64))
8.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))

Results

Accuracy	Segments	Branch
97.0%	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`
96.4%	2	`a`
96.4%	2	`(*.f64 a #s(literal 2 binary64))`

Compiler

Compiled 13 to 22 computations (-69.2% saved)

regimes142.0ms (1.5%)

Memory

-6.4MiB live, 176.2MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 (.f64 #s(literal -9/2 binary64) t) a) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 #s(literal -9 binary64) (.f64 t z))) (*.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 #s(literal -9/2 binary64) z) (/.f64 a t)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -9 binary64) z) t (.f64 y x)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a y) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (fma.f64 (.f64 t z) #s(literal -9 binary64) (.f64 y x))))

Outputs

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))

(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) t) z (*.f64 y x)) (*.f64 a #s(literal 2 binary64)))

Calls

8 calls:

31.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
16.0ms	x
13.0ms	(.f64 (.f64 z #s(literal 9 binary64)) t)
10.0ms	(*.f64 x y)
8.0ms	(*.f64 a #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.3%	1	`x`
94.9%	3	`(.f64 (.f64 z #s(literal 9 binary64)) t)`
91.3%	1	`y`
93.8%	2	`(*.f64 x y)`
91.3%	1	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`
91.3%	1	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))`
91.3%	1	`a`
91.3%	1	`(*.f64 a #s(literal 2 binary64))`

Compiler

Compiled 36 to 59 computations (-63.9% saved)

regimes7.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 (.f64 #s(literal -9/2 binary64) t) a) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 #s(literal -9 binary64) (.f64 t z))) (*.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 #s(literal -9/2 binary64) z) (/.f64 a t)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))
(.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))

Outputs

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))

(*.f64 (fma.f64 (*.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a))

Calls

1 calls:

6.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
93.7%	2	`(*.f64 x y)`

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes92.0ms (1%)

Memory

-44.3MiB live, 251.3MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 (.f64 #s(literal -9/2 binary64) t) a) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- ( x y) (* (* z 9) t)) (*.f64 x y)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 y x)) (.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 #s(literal 9/2 binary64) t) z) (/.f64 #s(literal -1 binary64) a)))
(/.f64 #s(approx (- (* x y) (* (* z 9) t)) (.f64 #s(literal -9 binary64) (.f64 t z))) (*.f64 a #s(literal 2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 #s(literal -9/2 binary64) z) (/.f64 a t)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ (* (* t z) -9) (* y x)) (*.f64 x y))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) a)) #s(literal -9/2 binary64)))

Outputs

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 (*.f64 t z) #s(literal -9/2 binary64)) a))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (/.f64 x a) (*.f64 y #s(literal 1/2 binary64))))

Calls

11 calls:

16.0ms	(*.f64 a #s(literal 2 binary64))
14.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))
7.0ms	(*.f64 z #s(literal 9 binary64))
7.0ms	y
7.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
75.6%	3	`y`
59.0%	4	`a`
57.0%	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))`
60.7%	4	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`
59.0%	4	`(*.f64 a #s(literal 2 binary64))`
69.6%	3	`x`
71.4%	3	`z`
71.4%	3	`(*.f64 z #s(literal 9 binary64))`
68.5%	3	`t`
74.8%	3	`(.f64 (.f64 z #s(literal 9 binary64)) t)`
78.3%	3	`(*.f64 x y)`

Compiler

Compiled 41 to 76 computations (-85.4% saved)

regimes4.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 (.f64 #s(literal -9/2 binary64) t) a) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a))

Outputs

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (/.f64 (*.f64 (*.f64 #s(literal -9/2 binary64) t) z) a))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (/.f64 x a) (*.f64 y #s(literal 1/2 binary64))))

Calls

1 calls:

4.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
78.3%	3	`(*.f64 x y)`

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 (.f64 #s(literal -9/2 binary64) t) a) z))

Outputs

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (/.f64 x a) (*.f64 y #s(literal 1/2 binary64))))

Calls

1 calls:

3.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
78.3%	3	`(*.f64 x y)`

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 z a) t) #s(literal -9/2 binary64)))

Outputs

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))

Calls

1 calls:

3.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
76.3%	3	`(*.f64 x y)`

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes259.0ms (2.7%)

Memory

-32.5MiB live, 47.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (/.f64 (.f64 #s(literal -9/2 binary64) z) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z (/.f64 t a)) #s(literal -9/2 binary64)))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 t a) #s(literal -9/2 binary64)) z))

Outputs

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 t (*.f64 (/.f64 #s(literal -9/2 binary64) a) z)))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 (*.f64 z t) (/.f64 #s(literal -9/2 binary64) a)))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 t (*.f64 (/.f64 #s(literal -9/2 binary64) a) z)))

Calls

11 calls:

210.0ms	y
26.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
3.0ms	(*.f64 z #s(literal 9 binary64))
3.0ms	z
2.0ms	(*.f64 a #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
55.7%	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))`
51.9%	1	`a`
51.9%	1	`(*.f64 a #s(literal 2 binary64))`
55.3%	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`
53.6%	2	`t`
51.9%	1	`x`
51.9%	1	`z`
51.9%	1	`(*.f64 z #s(literal 9 binary64))`
51.9%	1	`(.f64 (.f64 z #s(literal 9 binary64)) t)`
55.2%	3	`y`
51.9%	1	`(*.f64 x y)`

Compiler

Compiled 41 to 76 computations (-85.4% saved)

regimes7.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 t (*.f64 (/.f64 #s(literal -9/2 binary64) a) z)))

#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (*.f64 t (/.f64 (*.f64 #s(literal -9/2 binary64) z) a)))

Outputs
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))

Calls

4 calls:

2.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))
2.0ms	y
2.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))
2.0ms	t

Results

Accuracy	Segments	Branch
51.9%	1	`t`
51.9%	1	`y`
51.9%	1	`(-.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 9 binary64)) t))`
51.9%	1	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64)))`

Compiler

Compiled 24 to 33 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.755534617645801e-49	3.715977477218642e-48

Compiler

Compiled 16 to 21 computations (-31.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.755534617645801e-49	3.715977477218642e-48

Compiler

Compiled 16 to 21 computations (-31.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.755534617645801e-49	3.715977477218642e-48

Compiler

Compiled 16 to 21 computations (-31.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-2.7142759817803136e+300

Compiler

Compiled 16 to 21 computations (-31.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-2.7142759817803136e+300

Compiler

Compiled 16 to 21 computations (-31.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1826827897375169e-42	1.8686049020539935e-33
0.0ms	-1.2316654581264596e-31	-4.881052317996679e-39

Compiler

Compiled 16 to 21 computations (-31.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1826827897375169e-42	1.8686049020539935e-33
0.0ms	-1.2316654581264596e-31	-4.881052317996679e-39

Compiler

Compiled 16 to 21 computations (-31.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1826827897375169e-42	1.8686049020539935e-33
0.0ms	-1.2316654581264596e-31	-4.881052317996679e-39

Compiler

Compiled 16 to 21 computations (-31.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.228438044224325e-44	1.7904995606288255e-43
0.0ms	-1.2316654581264596e-31	-4.881052317996679e-39

Compiler

Compiled 16 to 21 computations (-31.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.684292511950193e+273	7.933401224730366e+280
0.0ms	-3.713433417755516e+307	-1.7030969098199107e+292

Compiler

Compiled 16 to 21 computations (-31.3% saved)

simplify51.0ms (0.5%)

Memory

11.2MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	605
1	134	605
2	157	605
3	178	605
4	194	605
5	203	605
6	207	605
7	208	605

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 a #s(literal 2 binary64)) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) z) t (.f64 y x)) (.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 t) (*.f64 #s(literal 9/2 binary64) (/.f64 z a)))))
(if (<=.f64 (.f64 a #s(literal 2 binary64)) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) z) t (.f64 y x)) (.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 (/.f64 x a) #s(literal 1/2 binary64)) y)))
(if (<=.f64 (.f64 a #s(literal 2 binary64)) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) z) t (.f64 y x)) (.f64 a #s(literal 2 binary64))) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (fma.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x (.f64 (*.f64 (/.f64 z a) #s(literal -9/2 binary64)) t))))
(if (<=.f64 (.f64 x y) #s(literal -inf.0 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (/.f64 (fma.f64 (.f64 #s(literal -9 binary64) t) z (.f64 y x)) (*.f64 a #s(literal 2 binary64))))
(if (<=.f64 (.f64 x y) #s(literal -inf.0 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (.f64 (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) a)))
(if (<=.f64 (.f64 x y) #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (if (<=.f64 (.f64 x y) #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a)) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 x y) #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (if (<=.f64 (.f64 x y) #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a)) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 x y) #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (if (<=.f64 (.f64 x y) #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a))) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 x a) (.f64 y #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 x y) #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (if (<=.f64 (.f64 x y) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a))) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #s(literal -19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z))) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z #s(literal 9 binary64)) t)) (.f64 a #s(literal 2 binary64))) #s(literal 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896 binary64)) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 z t) (/.f64 #s(literal -9/2 binary64) a))) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 t (.f64 (/.f64 #s(literal -9/2 binary64) a) z)))

Outputs
(if (<=.f64 (.f64 #s(literal 2 binary64) a) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (fma.f64 (.f64 z #s(literal -9 binary64)) t (.f64 x y)) (.f64 #s(literal 2 binary64) a)) (fma.f64 (/.f64 x a) (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (/.f64 z a) #s(literal 9/2 binary64)) (neg.f64 t))))
(if (<=.f64 (.f64 #s(literal 2 binary64) a) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (fma.f64 (.f64 z #s(literal -9 binary64)) t (.f64 x y)) (.f64 #s(literal 2 binary64) a)) (fma.f64 (/.f64 z a) (.f64 #s(literal -9/2 binary64) t) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x a)) y)))
(if (<=.f64 (.f64 #s(literal 2 binary64) a) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (fma.f64 (.f64 z #s(literal -9 binary64)) t (.f64 x y)) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (fma.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x (.f64 (*.f64 #s(literal -9/2 binary64) (/.f64 z a)) t))))
(if (<=.f64 (.f64 x y) #s(literal -inf.0 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (/.f64 (fma.f64 (.f64 t #s(literal -9 binary64)) z (.f64 x y)) (*.f64 #s(literal 2 binary64) a)))
(if (<=.f64 (.f64 x y) #s(literal -inf.0 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (.f64 t z) #s(literal -9 binary64) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (if (<=.f64 (.f64 x y) #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 t z) #s(literal -9/2 binary64)) a)) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x a)))))
(if (<=.f64 (.f64 x y) #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (if (<=.f64 (.f64 x y) #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (/.f64 (.f64 (.f64 #s(literal -9/2 binary64) t) z) a)) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x a)))))
(if (<=.f64 (.f64 x y) #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (if (<=.f64 (.f64 x y) #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 #s(literal -9/2 binary64) a) (.f64 t z))) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x a)))))
(if (<=.f64 (.f64 x y) #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x)) (if (<=.f64 (.f64 x y) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (/ (- ( x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 #s(literal -9/2 binary64) a) (.f64 t z))) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 y a) #s(literal 1/2 binary64)) x))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 9 binary64) z) t)) (.f64 #s(literal 2 binary64) a)) #s(literal -19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 #s(literal -9/2 binary64) a) z) t)) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 #s(literal 9 binary64) z) t)) (.f64 #s(literal 2 binary64) a)) #s(literal 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896 binary64)) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (/.f64 #s(literal -9/2 binary64) a) (.f64 t z))) #s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 #s(literal -9/2 binary64) a) z) t))))
#s(approx (/ (- (* x y) (* (* z 9) t)) (* a 2)) (.f64 (.f64 (/.f64 #s(literal -9/2 binary64) a) z) t))

soundness1.4s (14.6%)

Memory

19.1MiB live, 919.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1404
1	366	1404
2	1192	1404
3	4283	1404
0	8098	1320
0	449	7708
1	1531	7688
2	6055	7672
0	8095	7256
0	13	33
0	19	33
1	56	33
2	417	33
3	4984	33
0	8496	31
0	33	140
0	50	140
1	182	137
2	1022	137
0	9429	137
0	41	192
0	62	182
1	183	181
2	1088	178
0	8482	173
0	43	189
0	62	191
1	208	191
2	1287	186
0	8578	178

Stop Event

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

Compiler

Compiled 1 234 to 629 computations (49% saved)

preprocess533.0ms (5.5%)

Memory: -0.4MiB live, 489.8MiB allocated
Remove: (sort x y)
Compiler: Compiled 1 998 to 770 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze128.0ms (1.3%)

sample1.1s (11.7%)

explain115.0ms (1.2%)

preprocess382.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify354.0ms (3.7%)

localize166.0ms (1.7%)

series48.0ms (0.5%)

simplify176.0ms (1.8%)

rewrite244.0ms (2.5%)

eval72.0ms (0.7%)

prune39.0ms (0.4%)

simplify176.0ms (1.8%)

localize95.0ms (1%)

series75.0ms (0.8%)

simplify205.0ms (2.1%)

rewrite259.0ms (2.7%)

eval360.0ms (3.7%)

prune97.0ms (1%)

simplify156.0ms (1.6%)

localize156.0ms (1.6%)

series111.0ms (1.1%)

simplify175.0ms (1.8%)

rewrite191.0ms (2%)

eval491.0ms (5.1%)

prune115.0ms (1.2%)

simplify201.0ms (2.1%)

localize160.0ms (1.6%)

series86.0ms (0.9%)

simplify228.0ms (2.4%)

rewrite316.0ms (3.3%)

eval332.0ms (3.4%)

prune157.0ms (1.6%)

regimes129.0ms (1.3%)

regimes19.0ms (0.2%)

regimes27.0ms (0.3%)

regimes142.0ms (1.5%)

regimes7.0ms (0.1%)

regimes92.0ms (1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes259.0ms (2.7%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify51.0ms (0.5%)

soundness1.4s (14.6%)

preprocess533.0ms (5.5%)

end0.0ms (0%)

Profiling