Metrics for Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample922.0ms (12.9%)

Memory

-61.4MiB live, 1 084.3MiB allocated

Samples

606.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 393.0ms

ival-mult: 300.0ms (76.4% of total)

ival-add: 83.0ms (21.1% of total)

ival-true: 7.0ms (1.8% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain119.0ms (1.7%)

Memory

-5.6MiB live, 120.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions

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

ival-mult: 7.0ms (55.5% of total)

ival-add: 5.0ms (39.6% of total)

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

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

preprocess123.0ms (1.7%)

Memory

-17.4MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	140
1	121	127
2	285	126
3	1014	126
4	2378	126
5	3671	126
6	4332	126
7	4448	126
8	4468	126
9	4471	126
10	4471	126
11	4522	126
12	4538	126
13	4538	126
0	8	9
0	12	9
1	16	9
2	24	9
3	49	9
4	51	9
0	51	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	16	28
2	24	28
3	49	28
4	51	28
0	51	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.5%)

Memory

-17.3MiB live, 32.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(+.f64 (*.f64 x y) z)
accuracy	0.0703125	(.f64 (+.f64 (.f64 x y) z) y)

Samples

15.0ms

256×

valid

Compiler

Compiled 58 to 18 computations (69% saved)

Precisions

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

ival-mult: 4.0ms (64.5% of total)

ival-add: 2.0ms (32.2% of total)

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

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

series12.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

12 calls:

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

simplify126.0ms (1.8%)

Memory

16.4MiB live, 91.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	840
1	335	840
2	1007	840
3	2710	832
4	5643	832
0	8127	710

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 137

Calls

Call 1

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

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

rewrite447.0ms (6.2%)

Memory

2.4MiB live, 153.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	41	24
2	308	24
3	3837	24
0	8119	20

Stop Event

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

Counts

4 → 257

Calls

Call 1

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

Outputs
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eval64.0ms (0.9%)

Memory: 0.7MiB live, 83.6MiB allocated
Compiler: Compiled 9 004 to 890 computations (90.1% saved)

prune19.0ms (0.3%)

Memory

9.6MiB live, 46.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	382	12	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	383	12	395

Accuracy

100.0%

Counts

395 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(fma.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 y (-.f64 (.f64 y x) z)) t)
	32.7%	(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 z (.f64 y x)) z (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) t)
▶	58.8%	(fma.f64 (.f64 (.f64 (fma.f64 y x z) y) y) (/.f64 (fma.f64 y x z) (-.f64 (.f64 (fma.f64 y x z) y) t)) (neg.f64 (.f64 t (/.f64 t (-.f64 (*.f64 (fma.f64 y x z) y) t)))))
▶	88.6%	(fma.f64 (*.f64 y y) x (fma.f64 z y t))
▶	99.8%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 y x z) y t) #s(literal -1 binary64)))
	57.1%	(+.f64 (/.f64 (.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) y) (-.f64 (*.f64 y x) z)) t)
	62.7%	(+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t)
	80.8%	(+.f64 (.f64 (.f64 (fma.f64 y x z) (.f64 (-.f64 (.f64 y x) z) (pow.f64 (-.f64 (*.f64 y x) z) #s(literal -1 binary64)))) y) t)
	60.8%	#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t))
	64.5%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 y x z) y))
▶	42.4%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
▶	25.3%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

Compiler

Compiled 448 to 280 computations (37.5% saved)

simplify438.0ms (6.1%)

Memory

-13.3MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 y x z) y)
cost-diff	0	(.f64 (.f64 (fma.f64 y x z) y) y)
cost-diff	128	(neg.f64 (.f64 t (/.f64 t (-.f64 (.f64 (fma.f64 y x z) y) t))))
cost-diff	1152	(fma.f64 (.f64 (.f64 (fma.f64 y x z) y) y) (/.f64 (fma.f64 y x z) (-.f64 (.f64 (fma.f64 y x z) y) t)) (neg.f64 (.f64 t (/.f64 t (-.f64 (*.f64 (fma.f64 y x z) y) t)))))
cost-diff	0	(fma.f64 z y t)
cost-diff	0	(*.f64 y y)
cost-diff	320	(fma.f64 (*.f64 y y) x (fma.f64 z y t))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	(fma.f64 (fma.f64 y x z) y t)
cost-diff	0	(pow.f64 (fma.f64 (fma.f64 y x z) y t) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 y x z) y t) #s(literal -1 binary64)))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	29	213
0	48	203
1	85	203
2	149	203
3	361	201
4	1304	201
5	3152	201
6	5639	195
7	7752	195
0	8125	195

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.5%)

Memory

-31.2MiB live, 143.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	3.8741432839094587	(.f64 t (/.f64 t (-.f64 (.f64 (fma.f64 y x z) y) t)))
accuracy	4.21803841448423	(/.f64 t (-.f64 (*.f64 (fma.f64 y x z) y) t))
accuracy	5.0909314793663425	(fma.f64 (.f64 (.f64 (fma.f64 y x z) y) y) (/.f64 (fma.f64 y x z) (-.f64 (.f64 (fma.f64 y x z) y) t)) (neg.f64 (.f64 t (/.f64 t (-.f64 (*.f64 (fma.f64 y x z) y) t)))))
accuracy	20.583010938069005	(/.f64 (fma.f64 y x z) (-.f64 (*.f64 (fma.f64 y x z) y) t))
accuracy	0	(fma.f64 z y t)
accuracy	0	(*.f64 y y)
accuracy	6.905939184398227	(fma.f64 (*.f64 y y) x (fma.f64 z y t))
accuracy	0	(*.f64 y y)
accuracy	7.935655453642526	(.f64 (.f64 y y) x)
accuracy	34.977808984481186	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
accuracy	0	(*.f64 z y)
accuracy	47.81812329023872	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
accuracy	0	(fma.f64 y x z)
accuracy	0.05078125	(fma.f64 (fma.f64 y x z) y t)
accuracy	0.15462875976844204	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 y x z) y t) #s(literal -1 binary64)))
accuracy	0.7007863651921228	(pow.f64 (fma.f64 (fma.f64 y x z) y t) #s(literal -1 binary64))

Samples

89.0ms

256×

valid

Compiler

Compiled 442 to 60 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 15.0ms (39.3% of total)

ival-add: 11.0ms (28.8% of total)

ival-div: 5.0ms (13.1% of total)

ival-pow: 4.0ms (10.5% of total)

ival-sub: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series117.0ms (1.6%)

Memory

20.7MiB live, 176.7MiB allocated

Counts

18 → 732

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (* y y) (+ (* (* y y) x) (+ (* z y) t)) (+ (* z y) t) (+ (* (* (* (+ (* y x) z) y) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t))) (neg (* t (/ t (- (* (+ (* y x) z) y) t))))) (neg (* t (/ t (- (* (+ (* y x) z) y) t)))) (* (* (+ (* y x) z) y) y) (* (+ (* y x) z) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t)) (/ t (- (* (+ (* y x) z) y) t)) (* t (/ t (- (* (+ (* y x) z) y) t))))
9.0ms	z	@	inf	((/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (* y y) (+ (* (* y y) x) (+ (* z y) t)) (+ (* z y) t) (+ (* (* (* (+ (* y x) z) y) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t))) (neg (* t (/ t (- (* (+ (* y x) z) y) t))))) (neg (* t (/ t (- (* (+ (* y x) z) y) t)))) (* (* (+ (* y x) z) y) y) (* (+ (* y x) z) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t)) (/ t (- (* (+ (* y x) z) y) t)) (* t (/ t (- (* (+ (* y x) z) y) t))))
8.0ms	y	@	-inf	((/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (* y y) (+ (* (* y y) x) (+ (* z y) t)) (+ (* z y) t) (+ (* (* (* (+ (* y x) z) y) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t))) (neg (* t (/ t (- (* (+ (* y x) z) y) t))))) (neg (* t (/ t (- (* (+ (* y x) z) y) t)))) (* (* (+ (* y x) z) y) y) (* (+ (* y x) z) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t)) (/ t (- (* (+ (* y x) z) y) t)) (* t (/ t (- (* (+ (* y x) z) y) t))))
7.0ms	y	@	inf	((/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (* y y) (+ (* (* y y) x) (+ (* z y) t)) (+ (* z y) t) (+ (* (* (* (+ (* y x) z) y) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t))) (neg (* t (/ t (- (* (+ (* y x) z) y) t))))) (neg (* t (/ t (- (* (+ (* y x) z) y) t)))) (* (* (+ (* y x) z) y) y) (* (+ (* y x) z) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t)) (/ t (- (* (+ (* y x) z) y) t)) (* t (/ t (- (* (+ (* y x) z) y) t))))
5.0ms	z	@	0	((/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (* y y) (+ (* (* y y) x) (+ (* z y) t)) (+ (* z y) t) (+ (* (* (* (+ (* y x) z) y) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t))) (neg (* t (/ t (- (* (+ (* y x) z) y) t))))) (neg (* t (/ t (- (* (+ (* y x) z) y) t)))) (* (* (+ (* y x) z) y) y) (* (+ (* y x) z) y) (/ (+ (* y x) z) (- (* (+ (* y x) z) y) t)) (/ t (- (* (+ (* y x) z) y) t)) (* t (/ t (- (* (+ (* y x) z) y) t))))

simplify260.0ms (3.6%)

Memory

13.6MiB live, 325.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1640	14242
1	5633	13923
0	8250	13318

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 703

Calls

Call 1

Inputs
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(/ 1 (* y (+ z (* x y))))
(+ (* -1 (/ t (* (pow y 2) (pow (+ z (* x y)) 2)))) (/ 1 (* y (+ z (* x y)))))
(+ (* t (- (/ t (* (pow y 3) (pow (+ z (* x y)) 3))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))) (/ 1 (* y (+ z (* x y)))))
(+ (* t (- (* t (+ (* -1 (/ t (* (pow y 4) (pow (+ z (* x y)) 4)))) (/ 1 (* (pow y 3) (pow (+ z (* x y)) 3))))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))) (/ 1 (* y (+ z (* x y)))))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ (* x (pow y 2)) (* y z))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(* y z)
(+ t (* y z))
(+ t (* y z))
(+ t (* y z))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* -1 (/ (pow t 2) (* y (+ z (* x y)))))
(* (pow t 2) (- (* -1 (/ t (* (pow y 2) (pow (+ z (* x y)) 2)))) (/ 1 (* y (+ z (* x y))))))
(* (pow t 2) (- (* t (- (* -1 (/ t (* (pow y 3) (pow (+ z (* x y)) 3)))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))) (/ 1 (* y (+ z (* x y))))))
(* (pow t 2) (- (* t (- (* t (- (* -1 (/ t (* (pow y 4) (pow (+ z (* x y)) 4)))) (/ 1 (* (pow y 3) (pow (+ z (* x y)) 3))))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))) (/ 1 (* y (+ z (* x y))))))
(/ 1 y)
(+ (/ 1 y) (/ t (* (pow y 2) (+ z (* x y)))))
(+ (* t (+ (/ 1 (* (pow y 2) (+ z (* x y)))) (/ t (* (pow y 3) (pow (+ z (* x y)) 2))))) (/ 1 y))
(+ (* t (+ (* t (+ (/ 1 (* (pow y 3) (pow (+ z (* x y)) 2))) (/ t (* (pow y 4) (pow (+ z (* x y)) 3))))) (/ 1 (* (pow y 2) (+ z (* x y)))))) (/ 1 y))
(/ t (* y (+ z (* x y))))
(* t (+ (/ 1 (* y (+ z (* x y)))) (/ t (* (pow y 2) (pow (+ z (* x y)) 2)))))
(* t (+ (* t (+ (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))) (/ t (* (pow y 3) (pow (+ z (* x y)) 3))))) (/ 1 (* y (+ z (* x y))))))
(* t (+ (* t (+ (* t (+ (/ 1 (* (pow y 3) (pow (+ z (* x y)) 3))) (/ t (* (pow y 4) (pow (+ z (* x y)) 4))))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))) (/ 1 (* y (+ z (* x y))))))
(/ (pow t 2) (* y (+ z (* x y))))
(* (pow t 2) (+ (/ 1 (* y (+ z (* x y)))) (/ t (* (pow y 2) (pow (+ z (* x y)) 2)))))
(* (pow t 2) (+ (* t (+ (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))) (/ t (* (pow y 3) (pow (+ z (* x y)) 3))))) (/ 1 (* y (+ z (* x y))))))
(* (pow t 2) (+ (* t (+ (* t (+ (/ 1 (* (pow y 3) (pow (+ z (* x y)) 3))) (/ t (* (pow y 4) (pow (+ z (* x y)) 4))))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))) (/ 1 (* y (+ z (* x y))))))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(/ 1 t)
(/ (+ 1 (* -1 (/ (* y (+ z (* x y))) t))) t)
(/ (- (+ 1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (/ (* y (+ z (* x y))) t)) t)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3)))) (+ (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (/ (* y (+ z (* x y))) t))) t)
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
t
(* t (+ 1 (+ (/ (* x (pow y 2)) t) (/ (* y z) t))))
(* t (+ 1 (+ (/ (* x (pow y 2)) t) (/ (* y z) t))))
(* t (+ 1 (+ (/ (* x (pow y 2)) t) (/ (* y z) t))))
t
(* t (+ 1 (/ (* y z) t)))
(* t (+ 1 (/ (* y z) t)))
(* t (+ 1 (/ (* y z) t)))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (+ (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (+ (/ (* y (+ z (* x y))) t) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))))))
(* t (+ 1 (+ (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (+ (/ (* y (+ z (* x y))) t) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))))))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (+ (/ (* y (+ z (* x y))) t) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2)))))
(* t (+ 1 (+ (/ (* y (+ z (* x y))) t) (+ (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2)) (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))))))
(* -1 (/ (+ z (* x y)) t))
(/ (+ (* -1 (+ z (* x y))) (* -1 (/ (* y (pow (+ z (* x y)) 2)) t))) t)
(/ (- (+ (* -1 (+ z (* x y))) (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 3)) (pow t 2)))) (/ (* y (pow (+ z (* x y)) 2)) t)) t)
(/ (- (+ (* -1 (+ z (* x y))) (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 4)) (pow t 3)))) (+ (/ (* y (pow (+ z (* x y)) 2)) t) (/ (* (pow y 2) (pow (+ z (* x y)) 3)) (pow t 2)))) t)
-1
(- (* -1 (/ (* y (+ z (* x y))) t)) 1)
(- (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (+ 1 (/ (* y (+ z (* x y))) t)))
(- (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))) (+ 1 (+ (/ (* y (+ z (* x y))) t) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2)))))
(* -1 t)
(* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1))
(* t (- (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (+ 1 (/ (* y (+ z (* x y))) t))))
(* t (- (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))) (+ 1 (+ (/ (* y (+ z (* x y))) t) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))))))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(/ 1 t)
(* -1 (/ (- (/ (* y (+ z (* x y))) t) 1) t))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow (+ z (* x y)) 2)) t) (* y (+ z (* x y)))) t)) 1) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (+ z (* x y)) 3)) t) (* (pow y 2) (pow (+ z (* x y)) 2))) t)) (* y (+ z (* x y)))) t)) 1) t))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (+ (* x (pow y 2)) (* y z)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* x (pow y 2)) (* y z)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* x (pow y 2)) (* y z)) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y z) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow (+ z (* x y)) 2))) (* (pow y 2) (pow (+ z (* x y)) 2))) t)) (* y (+ z (* x y)))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow (+ z (* x y)) 2))) (* (pow y 2) (pow (+ z (* x y)) 2))) t)) (* y (+ z (* x y)))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* y (+ z (* x y))) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) t)) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow (+ z (* x y)) 2))) (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) t))) t)) (* y (+ z (* x y)))) t)) 1)))
(* -1 (/ (+ z (* x y)) t))
(* -1 (/ (+ z (+ (* x y) (/ (* y (pow (+ z (* x y)) 2)) t))) t))
(* -1 (/ (+ z (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 3)) t)) (* y (pow (+ z (* x y)) 2))) t)) (* x y))) t))
(* -1 (/ (+ z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (+ z (* x y)) 4)) t) (* -1 (* (pow y 2) (pow (+ z (* x y)) 3)))) t)) (* y (pow (+ z (* x y)) 2))) t)) (* x y))) t))
-1
(- (* -1 (/ (* y (+ z (* x y))) t)) 1)
(- (* -1 (/ (- (/ (* (pow y 2) (pow (+ z (* x y)) 2)) t) (* -1 (* y (+ z (* x y))))) t)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) t)) (* (pow y 2) (pow (+ z (* x y)) 2))) t)) (* -1 (* y (+ z (* x y))))) t)) 1)
(* -1 t)
(* -1 (* t (+ 1 (/ (* y (+ z (* x y))) t))))
(* -1 (* t (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) t)) (* y (+ z (* x y)))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (+ z (* x y)) 3)) t) (* -1 (* (pow y 2) (pow (+ z (* x y)) 2)))) t)) (* y (+ z (* x y)))) t)))))
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(/ 1 (+ t (* x (pow y 2))))
(+ (* -1 (/ (* y z) (pow (+ t (* x (pow y 2))) 2))) (/ 1 (+ t (* x (pow y 2)))))
(+ (* z (- (/ (* (pow y 2) z) (pow (+ t (* x (pow y 2))) 3)) (/ y (pow (+ t (* x (pow y 2))) 2)))) (/ 1 (+ t (* x (pow y 2)))))
(+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow (+ t (* x (pow y 2))) 4))) (* -1 (/ (pow y 2) (pow (+ t (* x (pow y 2))) 3))))) (/ y (pow (+ t (* x (pow y 2))) 2)))) (/ 1 (+ t (* x (pow y 2)))))
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
t
(+ t (* y z))
(+ t (* y z))
(+ t (* y z))
(- (/ (* (pow x 2) (pow y 4)) (- (* x (pow y 2)) t)) (/ (pow t 2) (- (* x (pow y 2)) t)))
(- (+ (* z (- (+ (* 2 (/ (* x (pow y 3)) (- (* x (pow y 2)) t))) (/ (* (pow t 2) y) (pow (- (* x (pow y 2)) t) 2))) (/ (* (pow x 2) (pow y 5)) (pow (- (* x (pow y 2)) t) 2)))) (/ (* (pow x 2) (pow y 4)) (- (* x (pow y 2)) t))) (/ (pow t 2) (- (* x (pow y 2)) t)))
(- (+ (* z (- (+ (* 2 (/ (* x (pow y 3)) (- (* x (pow y 2)) t))) (+ (* z (- (+ (* -1 (/ (* (pow t 2) (pow y 2)) (pow (- (* x (pow y 2)) t) 3))) (/ (pow y 2) (- (* x (pow y 2)) t))) (/ (* y (- (* 2 (/ (* x (pow y 3)) (- (* x (pow y 2)) t))) (/ (* (pow x 2) (pow y 5)) (pow (- (* x (pow y 2)) t) 2)))) (- (* x (pow y 2)) t)))) (/ (* (pow t 2) y) (pow (- (* x (pow y 2)) t) 2)))) (/ (* (pow x 2) (pow y 5)) (pow (- (* x (pow y 2)) t) 2)))) (/ (* (pow x 2) (pow y 4)) (- (* x (pow y 2)) t))) (/ (pow t 2) (- (* x (pow y 2)) t)))
(- (+ (* z (- (+ (* 2 (/ (* x (pow y 3)) (- (* x (pow y 2)) t))) (+ (* z (- (+ (* -1 (/ (* (pow t 2) (pow y 2)) (pow (- (* x (pow y 2)) t) 3))) (+ (* z (- (/ (* (pow t 2) (pow y 3)) (pow (- (* x (pow y 2)) t) 4)) (/ (* y (- (/ (pow y 2) (- (* x (pow y 2)) t)) (/ (* y (- (* 2 (/ (* x (pow y 3)) (- (* x (pow y 2)) t))) (/ (* (pow x 2) (pow y 5)) (pow (- (* x (pow y 2)) t) 2)))) (- (* x (pow y 2)) t)))) (- (* x (pow y 2)) t)))) (/ (pow y 2) (- (* x (pow y 2)) t)))) (/ (* y (- (* 2 (/ (* x (pow y 3)) (- (* x (pow y 2)) t))) (/ (* (pow x 2) (pow y 5)) (pow (- (* x (pow y 2)) t) 2)))) (- (* x (pow y 2)) t)))) (/ (* (pow t 2) y) (pow (- (* x (pow y 2)) t) 2)))) (/ (* (pow x 2) (pow y 5)) (pow (- (* x (pow y 2)) t) 2)))) (/ (* (pow x 2) (pow y 4)) (- (* x (pow y 2)) t))) (/ (pow t 2) (- (* x (pow y 2)) t)))
(* -1 (/ (pow t 2) (- (* x (pow y 2)) t)))
(- (/ (* (pow t 2) (* y z)) (pow (- (* x (pow y 2)) t) 2)) (/ (pow t 2) (- (* x (pow y 2)) t)))
(- (* z (+ (* -1 (/ (* (pow t 2) (* (pow y 2) z)) (pow (- (* x (pow y 2)) t) 3))) (/ (* (pow t 2) y) (pow (- (* x (pow y 2)) t) 2)))) (/ (pow t 2) (- (* x (pow y 2)) t)))
(- (* z (+ (* z (+ (* -1 (/ (* (pow t 2) (pow y 2)) (pow (- (* x (pow y 2)) t) 3))) (/ (* (pow t 2) (* (pow y 3) z)) (pow (- (* x (pow y 2)) t) 4)))) (/ (* (pow t 2) y) (pow (- (* x (pow y 2)) t) 2)))) (/ (pow t 2) (- (* x (pow y 2)) t)))
(* x (pow y 3))
(+ (* x (pow y 3)) (* (pow y 2) z))
(+ (* x (pow y 3)) (* (pow y 2) z))
(+ (* x (pow y 3)) (* (pow y 2) z))
(* x (pow y 2))
(+ (* x (pow y 2)) (* y z))
(+ (* x (pow y 2)) (* y z))
(+ (* x (pow y 2)) (* y z))
(/ (* x y) (- (* x (pow y 2)) t))
(+ (* z (- (/ 1 (- (* x (pow y 2)) t)) (/ (* x (pow y 2)) (pow (- (* x (pow y 2)) t) 2)))) (/ (* x y) (- (* x (pow y 2)) t)))
(+ (* z (- (+ (* -1 (/ (* y (* z (- (/ 1 (- (* x (pow y 2)) t)) (/ (* x (pow y 2)) (pow (- (* x (pow y 2)) t) 2))))) (- (* x (pow y 2)) t))) (/ 1 (- (* x (pow y 2)) t))) (/ (* x (pow y 2)) (pow (- (* x (pow y 2)) t) 2)))) (/ (* x y) (- (* x (pow y 2)) t)))
(+ (* z (- (+ (* z (- (/ (* (pow y 2) (* z (- (/ 1 (- (* x (pow y 2)) t)) (/ (* x (pow y 2)) (pow (- (* x (pow y 2)) t) 2))))) (pow (- (* x (pow y 2)) t) 2)) (/ (* y (- (/ 1 (- (* x (pow y 2)) t)) (/ (* x (pow y 2)) (pow (- (* x (pow y 2)) t) 2)))) (- (* x (pow y 2)) t)))) (/ 1 (- (* x (pow y 2)) t))) (/ (* x (pow y 2)) (pow (- (* x (pow y 2)) t) 2)))) (/ (* x y) (- (* x (pow y 2)) t)))
(/ t (- (* x (pow y 2)) t))
(+ (* -1 (/ (* t (* y z)) (pow (- (* x (pow y 2)) t) 2))) (/ t (- (* x (pow y 2)) t)))
(+ (* z (- (/ (* t (* (pow y 2) z)) (pow (- (* x (pow y 2)) t) 3)) (/ (* t y) (pow (- (* x (pow y 2)) t) 2)))) (/ t (- (* x (pow y 2)) t)))
(+ (* z (- (* z (- (* -1 (/ (* t (* (pow y 3) z)) (pow (- (* x (pow y 2)) t) 4))) (* -1 (/ (* t (pow y 2)) (pow (- (* x (pow y 2)) t) 3))))) (/ (* t y) (pow (- (* x (pow y 2)) t) 2)))) (/ t (- (* x (pow y 2)) t)))
(/ (pow t 2) (- (* x (pow y 2)) t))
(+ (* -1 (/ (* (pow t 2) (* y z)) (pow (- (* x (pow y 2)) t) 2))) (/ (pow t 2) (- (* x (pow y 2)) t)))
(+ (* z (- (/ (* (pow t 2) (* (pow y 2) z)) (pow (- (* x (pow y 2)) t) 3)) (/ (* (pow t 2) y) (pow (- (* x (pow y 2)) t) 2)))) (/ (pow t 2) (- (* x (pow y 2)) t)))
(+ (* z (- (* z (- (* -1 (/ (* (pow t 2) (* (pow y 3) z)) (pow (- (* x (pow y 2)) t) 4))) (* -1 (/ (* (pow t 2) (pow y 2)) (pow (- (* x (pow y 2)) t) 3))))) (/ (* (pow t 2) y) (pow (- (* x (pow y 2)) t) 2)))) (/ (pow t 2) (- (* x (pow y 2)) t)))
(* y z)
(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
(/ 1 (* y z))
(/ (+ (* -1 (/ (+ x (/ t (pow y 2))) z)) (/ 1 y)) z)
(/ (- (+ (/ 1 y) (/ (* (+ t (* x (pow y 2))) (+ x (/ t (pow y 2)))) (* y (pow z 2)))) (+ (/ t (* (pow y 2) z)) (/ x z))) z)
(/ (- (+ (* -1 (/ (* (pow (+ t (* x (pow y 2))) 2) (+ x (/ t (pow y 2)))) (* (pow y 2) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ (* (+ t (* x (pow y 2))) (+ x (/ t (pow y 2)))) (* y (pow z 2)))) (+ (/ t (* (pow y 2) z)) (/ x z)))) z)
(* y z)
(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
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Outputs
(*.f64 (fma.f64 x y z) y)
(fma.f64 (fma.f64 x y z) y t)
(fma.f64 (fma.f64 x y z) y t)
(fma.f64 (fma.f64 x y z) y t)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) y))
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(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 z y t) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (.f64 (+.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 y #s(literal 4 binary64)))) (fma.f64 z y t)) (.f64 y y)))) x) (+.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 y #s(literal 4 binary64)))))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
(.f64 (.f64 y y) x)
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(*.f64 x y)
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) y))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) y))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) y))
(.f64 (.f64 y y) x)
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (.f64 y y) x)
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (.f64 y y) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 y y) x)
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 z y t) x)) (.f64 y y)))
(.f64 (.f64 y y) x)
(.f64 (neg.f64 x) (-.f64 (neg.f64 (.f64 y y)) (/.f64 (-.f64 (fma.f64 (.f64 z y) #s(literal 2 binary64) t) (.f64 z y)) x)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (.f64 y y)) (/.f64 (-.f64 (+.f64 (-.f64 t (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 z z) (/.f64 (.f64 (-.f64 (fma.f64 (.f64 z y) #s(literal 2 binary64) t) (.f64 z y)) (fma.f64 z y (neg.f64 t))) (.f64 y y))) (.f64 (/.f64 t y) (/.f64 t y))) x)) (.f64 (.f64 z y) #s(literal 2 binary64))) (*.f64 z y)) x)))
(.f64 (neg.f64 x) (-.f64 (neg.f64 (.f64 y y)) (/.f64 (-.f64 (+.f64 (-.f64 t (/.f64 (-.f64 (-.f64 (neg.f64 (.f64 z z)) (/.f64 (fma.f64 (.f64 t t) (/.f64 (fma.f64 z y (neg.f64 t)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (fma.f64 (.f64 z z) #s(literal -1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 (.f64 z y) #s(literal 2 binary64) t) (.f64 z y)) (fma.f64 z y (neg.f64 t))) (.f64 y y))) (fma.f64 z y (neg.f64 t))) (.f64 y y))) x)) (neg.f64 (fma.f64 (fma.f64 z y (neg.f64 t)) (/.f64 (-.f64 (fma.f64 (.f64 z y) #s(literal 2 binary64) t) (.f64 z y)) (.f64 y y)) (.f64 (/.f64 t y) (/.f64 t y))))) x)) (.f64 (.f64 z y) #s(literal 2 binary64))) (.f64 z y)) x)))
(/.f64 (neg.f64 (.f64 t t)) (.f64 (*.f64 y y) x))
(/.f64 (-.f64 (/.f64 (.f64 (fma.f64 z y (neg.f64 t)) (.f64 t t)) (.f64 (pow.f64 y #s(literal 4 binary64)) x)) (.f64 (/.f64 t y) (/.f64 t y))) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) (/.f64 (fma.f64 z y (neg.f64 t)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 2 binary64)) (.f64 t t)) (.f64 (pow.f64 y #s(literal 6 binary64)) x)))) x) #s(literal -1 binary64) (*.f64 (/.f64 t y) (/.f64 t y)))) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 z y (neg.f64 t)) (.f64 t t)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 t t) (/.f64 (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 3 binary64)) (.f64 t t)) (.f64 (pow.f64 y #s(literal 8 binary64)) x)))) x)) x) #s(literal -1 binary64) (*.f64 (/.f64 t y) (/.f64 t y)))) x)
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(.f64 (neg.f64 x) (neg.f64 (fma.f64 (.f64 y y) (/.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 (.f64 y y) (/.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 (.f64 y y) (/.f64 z x) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (.f64 y y) x)
(.f64 (neg.f64 x) (neg.f64 (fma.f64 y y (/.f64 (.f64 z y) x))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 y y (/.f64 (.f64 z y) x))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 y y (/.f64 (.f64 z y) x))))
(/.f64 #s(literal 1 binary64) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 (fma.f64 z y (neg.f64 t)) (pow.f64 y #s(literal 3 binary64)))) x))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 z (.f64 y y)) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 (fma.f64 z y (neg.f64 t)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z y (neg.f64 t))) (.f64 (.f64 y y) x))) (/.f64 (fma.f64 z y (neg.f64 t)) (pow.f64 y #s(literal 3 binary64)))) x))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 z (.f64 y y)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 (fma.f64 z y (neg.f64 t)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 (fma.f64 z y (neg.f64 t)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z y (neg.f64 t))) (.f64 y y))) x)) (/.f64 (fma.f64 z y (neg.f64 t)) (pow.f64 y #s(literal 3 binary64)))) x))
(/.f64 t (.f64 (.f64 y y) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 z y (neg.f64 t)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 t) (*.f64 y y)))) x)
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 t) (.f64 y y)) (/.f64 (-.f64 (.f64 (/.f64 t (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 2 binary64)) x)) (/.f64 (*.f64 (fma.f64 z y (neg.f64 t)) t) (pow.f64 y #s(literal 4 binary64)))) x))) x)
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 t) (.f64 y y)) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (.f64 (/.f64 t (pow.f64 y #s(literal 8 binary64))) (/.f64 (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 3 binary64)) x)) (/.f64 (.f64 (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 2 binary64)) t) (pow.f64 y #s(literal 6 binary64))))) x) (/.f64 (.f64 (fma.f64 z y (neg.f64 t)) t) (pow.f64 y #s(literal 4 binary64)))) x))) x)
(.f64 (/.f64 t x) (/.f64 t (.f64 y y)))
(/.f64 (-.f64 (.f64 (/.f64 t y) (/.f64 t y)) (/.f64 (.f64 (fma.f64 z y (neg.f64 t)) (.f64 t t)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (.f64 t t)) (.f64 y y)) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 2 binary64)) (.f64 t t)) (.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (.f64 (fma.f64 z y (neg.f64 t)) (*.f64 t t)) (pow.f64 y #s(literal 4 binary64)))) x))) x)
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (.f64 t t)) (.f64 y y)) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 3 binary64)) (.f64 t t)) (.f64 (pow.f64 y #s(literal 8 binary64)) x)) (/.f64 (.f64 (pow.f64 (fma.f64 z y (neg.f64 t)) #s(literal 2 binary64)) (.f64 t t)) (pow.f64 y #s(literal 6 binary64))))) x) (/.f64 (.f64 (fma.f64 z y (neg.f64 t)) (*.f64 t t)) (pow.f64 y #s(literal 4 binary64)))) x))) x)

rewrite263.0ms (3.7%)

Memory

31.1MiB live, 530.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	180
0	48	142
1	202	142
2	1343	142
0	8319	142

Stop Event

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

Counts

18 → 1 997

Calls

Call 1

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

Outputs
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eval568.0ms (7.9%)

Memory: 21.9MiB live, 888.4MiB allocated
Compiler: Compiled 150 410 to 5 878 computations (96.1% saved)

prune72.0ms (1%)

Memory

1.9MiB live, 199.3MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	3 072	10	3 082
Fresh	6	1	7
Picked	3	2	5
Done	0	0	0
Total	3 081	13	3 094

Accuracy

100.0%

Counts

3 094 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(fma.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 y (-.f64 (.f64 y x) z)) t)
	66.9%	(fma.f64 (fma.f64 x y z) (.f64 y (.f64 (/.f64 y (-.f64 (.f64 (fma.f64 x y z) y) t)) (fma.f64 x y z))) (.f64 (neg.f64 t) (/.f64 t (-.f64 (*.f64 (fma.f64 x y z) y) t))))
	53.9%	(fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (*.f64 z y)))
	39.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 x x) y))) (*.f64 y y))))
	64.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) y))))
▶	42.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))
▶	49.0%	(*.f64 (sqrt.f64 (fma.f64 (fma.f64 x y z) y t)) (sqrt.f64 (fma.f64 (fma.f64 x y z) y t)))
▶	60.8%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (fma.f64 z y t))
▶	87.3%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 y (/.f64 (fma.f64 x y z) t) #s(literal 1 binary64)) t))
▶	64.5%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 x y z) y))
✓	42.4%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
	45.3%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y))
✓	25.3%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

Compiler

Compiled 496 to 329 computations (33.7% saved)

simplify170.0ms (2.4%)

Memory

-17.7MiB live, 256.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x y z)
cost-diff	0	(fma.f64 (fma.f64 x y z) y t)
cost-diff	0	(sqrt.f64 (fma.f64 (fma.f64 x y z) y t))
cost-diff	2368	(*.f64 (sqrt.f64 (fma.f64 (fma.f64 x y z) y t)) (sqrt.f64 (fma.f64 (fma.f64 x y z) y t)))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
cost-diff	0	#s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))
cost-diff	0	(fma.f64 x y z)
cost-diff	0	(*.f64 (fma.f64 x y z) y)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 x y z) y))
cost-diff	0	(fma.f64 z y t)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (fma.f64 z y t))
cost-diff	0	(/.f64 (fma.f64 x y z) t)
cost-diff	0	(fma.f64 y (/.f64 (fma.f64 x y z) t) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 y (/.f64 (fma.f64 x y z) t) #s(literal 1 binary64)) t))
cost-diff	1024	(*.f64 (fma.f64 y (/.f64 (fma.f64 x y z) t) #s(literal 1 binary64)) t)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	216
0	45	204
1	67	192
2	95	192
3	141	192
4	282	176
5	578	176
6	1302	176
7	2774	176
8	3572	176
9	3742	176
10	3800	176
11	3800	176
12	5181	176
0	9005	176

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (2.1%)

Memory

-51.5MiB live, 158.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x y z)
accuracy	0.0234375	(fma.f64 (fma.f64 x y z) y t)
accuracy	0.13671875	(*.f64 (sqrt.f64 (fma.f64 (fma.f64 x y z) y t)) (sqrt.f64 (fma.f64 (fma.f64 x y z) y t)))
accuracy	7.442627325973322	(sqrt.f64 (fma.f64 (fma.f64 x y z) y t))
accuracy	0.07259750976844201	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))))
accuracy	0.24468074432446985	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
accuracy	3.7682537915499745	(.f64 (.f64 y y) x)
accuracy	15.42146436273395	#s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x)))
accuracy	0	(fma.f64 x y z)
accuracy	0.02734375	(*.f64 (fma.f64 x y z) y)
accuracy	10.814984968830345	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 x y z) y))
accuracy	0	(fma.f64 z y t)
accuracy	14.190865272014936	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (fma.f64 z y t))
accuracy	0	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 y (/.f64 (fma.f64 x y z) t) #s(literal 1 binary64)) t))
accuracy	0.7457939155904008	(fma.f64 y (/.f64 (fma.f64 x y z) t) #s(literal 1 binary64))
accuracy	2.1124948923761555	(*.f64 (fma.f64 y (/.f64 (fma.f64 x y z) t) #s(literal 1 binary64)) t)
accuracy	3.5644659577096323	(/.f64 (fma.f64 x y z) t)

Samples

102.0ms	130×	0	invalid
25.0ms	126×	0	valid

Compiler

Compiled 412 to 59 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-add: 46.0ms (42.1% of total)

ival-div: 25.0ms (22.9% of total)

ival-pow: 20.0ms (18.3% of total)

ival-mult: 15.0ms (13.7% of total)

ival-sqrt: 2.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.9%)

Memory

-5.8MiB live, 113.4MiB allocated

Counts

16 → 684

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* z y) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* x y) z) y) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (/ 1 (* (* y y) x)) (* (* y y) x) (* (sqrt (+ (* (+ (* x y) z) y) t)) (sqrt (+ (* (+ (* x y) z) y) t))) (sqrt (+ (* (+ (* x y) z) y) t)) (+ (* (+ (* x y) z) y) t))
3.0ms	x	@	-inf	((* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* z y) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* x y) z) y) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (/ 1 (* (* y y) x)) (* (* y y) x) (* (sqrt (+ (* (+ (* x y) z) y) t)) (sqrt (+ (* (+ (* x y) z) y) t))) (sqrt (+ (* (+ (* x y) z) y) t)) (+ (* (+ (* x y) z) y) t))
3.0ms	x	@	inf	((* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* z y) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* x y) z) y) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (/ 1 (* (* y y) x)) (* (* y y) x) (* (sqrt (+ (* (+ (* x y) z) y) t)) (sqrt (+ (* (+ (* x y) z) y) t))) (sqrt (+ (* (+ (* x y) z) y) t)) (+ (* (+ (* x y) z) y) t))
3.0ms	t	@	-inf	((* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* z y) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* x y) z) y) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (/ 1 (* (* y y) x)) (* (* y y) x) (* (sqrt (+ (* (+ (* x y) z) y) t)) (sqrt (+ (* (+ (* x y) z) y) t))) (sqrt (+ (* (+ (* x y) z) y) t)) (+ (* (+ (* x y) z) y) t))
3.0ms	z	@	-inf	((* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* z y) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* x y) z) y) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (/ 1 (* (* y y) x)) (* (* y y) x) (* (sqrt (+ (* (+ (* x y) z) y) t)) (sqrt (+ (* (+ (* x y) z) y) t))) (sqrt (+ (* (+ (* x y) z) y) t)) (+ (* (+ (* x y) z) y) t))

simplify219.0ms (3.1%)

Memory

14.5MiB live, 241.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	8878
1	2606	8568
0	8253	7855

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 655

Calls

Call 1

Inputs
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* y (+ z (* x y)))
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(/ (+ t (* y (+ z (* x y)))) t)
(/ (+ t (* y (+ z (* x y)))) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* y z)
(+ t (* y z))
(+ t (* y z))
(+ t (* y z))
(* y (+ z (* x y)))
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(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(/ 1 (* y (+ z (* x y))))
(+ (* -1 (/ t (* (pow y 2) (pow (+ z (* x y)) 2)))) (/ 1 (* y (+ z (* x y)))))
(+ (* t (- (/ t (* (pow y 3) (pow (+ z (* x y)) 3))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))) (/ 1 (* y (+ z (* x y)))))
(+ (* t (- (* t (+ (* -1 (/ t (* (pow y 4) (pow (+ z (* x y)) 4)))) (/ 1 (* (pow y 3) (pow (+ z (* x y)) 3))))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))) (/ 1 (* y (+ z (* x y)))))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(sqrt (* y (+ z (* x y))))
(+ (sqrt (* y (+ z (* x y)))) (* 1/2 (* t (sqrt (/ 1 (* y (+ z (* x y))))))))
(+ (sqrt (* y (+ z (* x y)))) (* t (+ (* -1/8 (* t (sqrt (/ 1 (* (pow y 3) (pow (+ z (* x y)) 3)))))) (* 1/2 (sqrt (/ 1 (* y (+ z (* x y)))))))))
(+ (sqrt (* y (+ z (* x y)))) (* t (+ (* 1/2 (sqrt (/ 1 (* y (+ z (* x y)))))) (* t (+ (* -1/8 (sqrt (/ 1 (* (pow y 3) (pow (+ z (* x y)) 3))))) (* 1/16 (* t (sqrt (/ 1 (* (pow y 5) (pow (+ z (* x y)) 5)))))))))))
(* y (+ z (* x y)))
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t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
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t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
1
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(/ (+ z (* x y)) t)
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t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
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t
(* t (+ 1 (/ (* y z) t)))
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(* t (+ 1 (/ (* y (+ z (* x y))) t)))
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(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3)))) (+ (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (/ (* y (+ z (* x y))) t))) t)
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(sqrt t)
(* t (+ (sqrt (/ 1 t)) (* 1/2 (* (sqrt (/ 1 (pow t 3))) (* y (+ z (* x y)))))))
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (* (pow y 2) (pow (+ z (* x y)) 2)))) (* 1/2 (* (sqrt (/ 1 (pow t 3))) (* y (+ z (* x y))))))))
(* t (+ (sqrt (/ 1 t)) (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (* (pow y 2) (pow (+ z (* x y)) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (* (pow y 3) (pow (+ z (* x y)) 3)))) (* 1/2 (* (sqrt (/ 1 (pow t 3))) (* y (+ z (* x y)))))))))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
1
(+ 1 (/ (* y (+ z (* x y))) t))
(+ 1 (/ (* y (+ z (* x y))) t))
(+ 1 (/ (* y (+ z (* x y))) t))
(/ (+ z (* x y)) t)
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(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y z) t)) 1)))
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t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(/ 1 t)
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(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow (+ z (* x y)) 2)) t) (* y (+ z (* x y)))) t)) 1) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (+ z (* x y)) 3)) t) (* (pow y 2) (pow (+ z (* x y)) 2))) t)) (* y (+ z (* x y)))) t)) 1) t))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (pow t 3))) (* y (+ z (* x y))))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow t 3))) (* y (+ z (* x y))))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (pow t 5))) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow t 7))) (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow t 3))) (* y (+ z (* x y))))) (* (sqrt (/ 1 t)) (pow (sqrt -1) 2)))))))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
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(+ 1 (/ (* x (pow y 2)) t))
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t
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(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
(/ (* y z) t)
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(* z (+ (/ 1 z) (+ (/ y t) (/ (* x (pow y 2)) (* t z)))))
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(/ z t)
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z
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(/ 1 (* y z))
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(/ (- (+ (/ 1 y) (/ (* (+ t (* x (pow y 2))) (+ x (/ t (pow y 2)))) (* y (pow z 2)))) (+ (/ t (* (pow y 2) z)) (/ x z))) z)
(/ (- (+ (* -1 (/ (* (pow (+ t (* x (pow y 2))) 2) (+ x (/ t (pow y 2)))) (* (pow y 2) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ (* (+ t (* x (pow y 2))) (+ x (/ t (pow y 2)))) (* y (pow z 2)))) (+ (/ t (* (pow y 2) z)) (/ x z)))) z)
(* y z)
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(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
(sqrt (* y z))
(* z (+ (sqrt (/ y z)) (* 1/2 (* (sqrt (/ 1 (* y (pow z 3)))) (+ t (* x (pow y 2)))))))
(* z (+ (sqrt (/ y z)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 5)))) (pow (+ t (* x (pow y 2))) 2))) (* 1/2 (* (sqrt (/ 1 (* y (pow z 3)))) (+ t (* x (pow y 2))))))))
(* z (+ (sqrt (/ y z)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 5)))) (pow (+ t (* x (pow y 2))) 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow y 5) (pow z 7)))) (pow (+ t (* x (pow y 2))) 3))) (* 1/2 (* (sqrt (/ 1 (* y (pow z 3)))) (+ t (* x (pow y 2)))))))))
(* y z)
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(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
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(/ (* y z) t)
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(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ 1 (/ (* x (pow y 2)) t)) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ 1 (/ (* x (pow y 2)) t)) z)))))
(/ z t)
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(* y z)
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(* -1 (* z (+ (* -1 y) (* -1 (/ t z)))))
(* y z)
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(* -1 (* z (+ (* -1 y) (* -1 (/ (+ t (* x (pow y 2))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ t (* x (pow y 2))) z)))))
(* y z)
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z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
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(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
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(/ 1 (* y z))
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(* -1 (/ (- (* -1 (/ (- (/ (* (+ t (* x (pow y 2))) (+ x (/ t (pow y 2)))) (* y z)) (+ x (/ t (pow y 2)))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ t (* x (pow y 2))) 2) (+ x (/ t (pow y 2)))) (* (pow y 2) z)) (/ (* (+ t (* x (pow y 2))) (+ x (/ t (pow y 2)))) y)) z)) (+ x (/ t (pow y 2)))) z)) (/ 1 y)) z))
(* y z)
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(* -1 (* z (+ (* -1 y) (* -1 (/ (+ t (* x (pow y 2))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ t (* x (pow y 2))) z)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (sqrt (/ 1 (* y (pow z 3)))) (+ t (* x (pow y 2))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 5)))) (/ (pow (+ t (* x (pow y 2))) 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* y (pow z 3)))) (+ t (* x (pow y 2))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 5)))) (/ (pow (+ t (* x (pow y 2))) 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow y 5) (pow z 7)))) (/ (pow (+ t (* x (pow y 2))) 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* y (pow z 3)))) (+ t (* x (pow y 2))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))))
(* y z)
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(* -1 (* z (+ (* -1 y) (* -1 (/ (+ t (* x (pow y 2))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ t (* x (pow y 2))) z)))))
t
(+ t (* y z))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
t
(+ t (* y z))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
1
(+ 1 (/ (* y z) t))
(+ 1 (* y (+ (/ z t) (/ (* x y) t))))
(+ 1 (* y (+ (/ z t) (/ (* x y) t))))
(/ z t)
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Outputs
(*.f64 (fma.f64 x y z) y)
(fma.f64 (fma.f64 x y z) y t)
(fma.f64 (fma.f64 x y z) y t)
(fma.f64 (fma.f64 x y z) y t)
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(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(/.f64 (-.f64 (+.f64 (/.f64 z (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 t (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 (.f64 (+.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 y #s(literal 4 binary64)))) (fma.f64 z y t)) (.f64 (.f64 y y) x)) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 t (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 z y t) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 y #s(literal 4 binary64)))) x) (/.f64 (.f64 (+.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 y #s(literal 4 binary64)))) (fma.f64 z y t)) (.f64 (neg.f64 y) y))) (neg.f64 x)) (+.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 t (pow.f64 y #s(literal 4 binary64))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 y y) x)
(.f64 (.f64 y y) x)
(*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 z y t) x))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 z y t) x))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 z y t) x))) (neg.f64 x))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 z y t) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))) (neg.f64 x))
(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 z y t) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 z y t) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)))) (neg.f64 x))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 (fma.f64 z y t) #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 z y t) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 z y t) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))))) (neg.f64 x))
(.f64 (.f64 y y) x)
(*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 z y t) x))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 z y t) x))) (neg.f64 x))
(*.f64 (neg.f64 (fma.f64 y y (/.f64 (fma.f64 z y t) x))) (neg.f64 x))

rewrite205.0ms (2.9%)

Memory

14.2MiB live, 299.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	187
0	45	161
1	185	149
2	995	149
0	8377	149

Stop Event

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

Counts

16 → 807

Calls

Call 1

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

Outputs
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eval245.0ms (3.4%)

Memory: 50.0MiB live, 488.7MiB allocated
Compiler: Compiled 63 575 to 4 165 computations (93.4% saved)

prune89.0ms (1.2%)

Memory

-8.1MiB live, 162.2MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 996	7	2 003
Fresh	5	1	6
Picked	3	2	5
Done	0	2	2
Total	2 004	12	2 016

Accuracy

100.0%

Counts

2 016 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (*.f64 z y)))
▶	45.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) y))))
	87.7%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (fma.f64 (*.f64 t (fma.f64 x y z)) (/.f64 y t) t))
✓	60.8%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (fma.f64 z y t))
▶	92.6%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 (fma.f64 x y z) (/.f64 y t) #s(literal 1 binary64)) t))
▶	77.3%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (.f64 (fma.f64 y (/.f64 #s(approx (+ ( x y) z) (*.f64 x y)) t) #s(literal 1 binary64)) t))
✓	64.5%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 x y z) y))
	72.0%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (.f64 #s(approx (+ ( y (/ (+ (* x y) z) t)) 1) (fma.f64 (/.f64 x t) (*.f64 y y) #s(literal 1 binary64))) t))
▶	37.9%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (.f64 #s(approx (+ ( y (/ (+ (* x y) z) t)) 1) #s(literal 1 binary64)) t))
	45.3%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (.f64 #s(approx (+ ( x y) z) (*.f64 x y)) y))
✓	42.4%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
✓	25.3%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

Compiler

Compiled 476 to 340 computations (28.6% saved)

simplify190.0ms (2.7%)

Memory

16.3MiB live, 243.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	285
0	60	277
1	94	265
2	133	265
3	236	265
4	565	253
5	1042	253
6	1559	253
7	3492	253
8	4104	253
9	4542	253
10	4748	253
11	4814	253
12	4814	253
13	5722	253
14	7485	253
0	8250	242

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (2%)

Memory

-24.7MiB live, 136.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (.f64 x y) y)
accuracy	0.15462875976844204	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) y))))
accuracy	0.4553082488711497	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) y))
accuracy	34.98519277951604	#s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) y)))
accuracy	3.343691199057842	(fma.f64 y (/.f64 #s(approx (+ (* x y) z) (*.f64 x y)) t) #s(literal 1 binary64))
accuracy	4.707887236543711	(.f64 (fma.f64 y (/.f64 #s(approx (+ ( x y) z) (*.f64 x y)) t) #s(literal 1 binary64)) t)
accuracy	5.023195454609997	(/.f64 #s(approx (+ (* x y) z) (*.f64 x y)) t)
accuracy	28.66840812837179	#s(approx (+ (* x y) z) (*.f64 x y))
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 y y)
accuracy	6.905939184398227	(fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (*.f64 z y)))
accuracy	31.846748179121434	#s(approx (+ (* z y) t) (*.f64 z y))
accuracy	0	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (.f64 #s(approx (+ ( y (/ (+ (* x y) z) t)) 1) #s(literal 1 binary64)) t))
accuracy	4.707887236543711	(.f64 #s(approx (+ ( y (/ (+ (* x y) z) t)) 1) #s(literal 1 binary64)) t)
accuracy	39.860892548453066	#s(approx (+ (* y (/ (+ (* x y) z) t)) 1) #s(literal 1 binary64))
accuracy	0	(/.f64 y t)
accuracy	0	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 (fma.f64 x y z) (/.f64 y t) #s(literal 1 binary64)) t))
accuracy	1.002994414907194	(fma.f64 (fma.f64 x y z) (/.f64 y t) #s(literal 1 binary64))
accuracy	4.707887236543711	(*.f64 (fma.f64 (fma.f64 x y z) (/.f64 y t) #s(literal 1 binary64)) t)

Samples

118.0ms

256×

valid

Compiler

Compiled 507 to 73 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 62.0ms (62% of total)

ival-pow: 23.0ms (23% of total)

ival-add: 8.0ms (8% of total)

ival-div: 7.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series87.0ms (1.2%)

Memory

-10.0MiB live, 104.4MiB allocated

Counts

22 → 864

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	((* (+ (* (+ (* x y) z) (/ y t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* (+ (* x y) z) (/ y t)) 1) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (+ (* y (/ (+ (* x y) z) t)) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (* (* x y) y) (* x y) (/ y t) (+ (* x y) z) (/ 1 (* (* x y) y)))
2.0ms	y	@	-inf	((* (+ (* (+ (* x y) z) (/ y t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* (+ (* x y) z) (/ y t)) 1) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (+ (* y (/ (+ (* x y) z) t)) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (* (* x y) y) (* x y) (/ y t) (+ (* x y) z) (/ 1 (* (* x y) y)))
2.0ms	x	@	-inf	((* (+ (* (+ (* x y) z) (/ y t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* (+ (* x y) z) (/ y t)) 1) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (+ (* y (/ (+ (* x y) z) t)) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (* (* x y) y) (* x y) (/ y t) (+ (* x y) z) (/ 1 (* (* x y) y)))
2.0ms	y	@	inf	((* (+ (* (+ (* x y) z) (/ y t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* (+ (* x y) z) (/ y t)) 1) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (+ (* y (/ (+ (* x y) z) t)) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (* (* x y) y) (* x y) (/ y t) (+ (* x y) z) (/ 1 (* (* x y) y)))
2.0ms	t	@	-inf	((* (+ (* (+ (* x y) z) (/ y t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* (+ (* x y) z) (/ y t)) 1) (+ (* x y) z) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (+ (* y (/ (+ (* x y) z) t)) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (+ (* y (/ (+ (* x y) z) t)) 1) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (+ (* y (/ (+ (* x y) z) t)) 1) (/ (+ (* x y) z) t) (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (pow (+ (* (+ (* y x) z) y) t) -1) (* (* x y) y) (* x y) (/ y t) (+ (* x y) z) (/ 1 (* (* x y) y)))

simplify181.0ms (2.5%)

Memory

-4.6MiB live, 207.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	483	9143
1	1652	8876
2	5577	8676
0	8442	7932

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 828

Calls

Call 1

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

rewrite180.0ms (2.5%)

Memory

6.6MiB live, 245.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	265
0	60	251
1	239	245
2	1369	239
0	8220	232

Stop Event

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

Counts

22 → 421

Calls

Call 1

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

Outputs
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eval180.0ms (2.5%)

Memory: -7.1MiB live, 328.0MiB allocated
Compiler: Compiled 42 501 to 2 279 computations (94.6% saved)

prune51.0ms (0.7%)

Memory

16.8MiB live, 93.8MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 277	2	1 279
Fresh	1	2	3
Picked	2	3	5
Done	0	4	4
Total	1 280	11	1 291

Accuracy

100.0%

Counts

1 291 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.9%	(fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (*.f64 z y)))
✓	45.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (+ (* y x) z) y) t) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x y) y))))
	77.9%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (fma.f64 (.f64 #s(approx (+ ( x y) z) (*.f64 y x)) (/.f64 y t)) t t))
	87.7%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (fma.f64 (*.f64 t (fma.f64 x y z)) (/.f64 y t) t))
✓	60.8%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (fma.f64 z y t))
	77.3%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (.f64 (fma.f64 y #s(approx (/ (+ ( x y) z) t) (*.f64 (/.f64 y t) x)) #s(literal 1 binary64)) t))
✓	64.5%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (*.f64 (fma.f64 x y z) y))
✓	37.9%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (.f64 #s(approx (+ ( y (/ (+ (* x y) z) t)) 1) #s(literal 1 binary64)) t))
	45.3%	#s(approx (/ 1 (pow (+ (* (+ (* y x) z) y) t) -1)) (.f64 #s(approx (+ ( x y) z) (*.f64 x y)) y))
✓	42.4%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
✓	25.3%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

Compiler

Compiled 944 to 323 computations (65.8% saved)

regimes85.0ms (1.2%)

Memory

-3.7MiB live, 42.9MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

37.0ms	(.f64 (+.f64 (.f64 x y) z) y)
9.0ms	z
9.0ms	t
9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`t`
99.9%	1	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
99.9%	1	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes100.0ms (1.4%)

Memory

-25.1MiB live, 48.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

6 calls:

47.0ms	x
38.0ms	(.f64 (+.f64 (.f64 x y) z) y)
4.0ms	t
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
78.9%	3	`x`
92.4%	3	`y`
70.7%	4	`z`
72.5%	3	`t`
87.1%	3	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
95.5%	3	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes9.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.6%	3	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
84.8%	3	`y`
85.6%	3	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
85.5%	3	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes23.0ms (0.3%)

Memory

-6.2MiB live, 29.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
2.0ms	x
2.0ms	t
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
60.8%	1	`z`
60.8%	1	`t`
60.8%	1	`x`
60.8%	1	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
60.8%	1	`y`
60.8%	1	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes15.0ms (0.2%)

Memory

-20.2MiB live, 24.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

6.0ms	x
2.0ms	z
2.0ms	y
2.0ms	t
2.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Results

Accuracy	Segments	Branch
37.9%	1	`x`
50.4%	3	`z`
45.9%	3	`t`
45.6%	3	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
53.2%	3	`(.f64 (+.f64 (.f64 x y) z) y)`
48.4%	3	`y`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes9.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
25.3%	1	`x`
25.3%	1	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
25.3%	1	`t`
25.3%	1	`y`
25.3%	1	`z`
25.3%	1	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3699809531378745e+135	1.2765351991232742e+139
0.0ms	-1.2206643993525133e+139	-8.915887900333237e+125

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.659798494949791e+188	7.551185667179055e+196
0.0ms	-3.9878195530574705e+255	-1.9729729327590462e+254

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.659798494949791e+188	7.551185667179055e+196
0.0ms	-3.9878195530574705e+255	-1.9729729327590462e+254

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3699809531378745e+135	1.2765351991232742e+139
0.0ms	-2.8644600384696567e+96	-2.410386807984297e+73

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify28.0ms (0.4%)

Memory

7.6MiB live, 82.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	305
1	67	305

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (fma.f64 y x z) y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 1999999999999999923659381683629879726898470672553570302890808246910200808111311381352383420329189120737404579161064142182622522767310848 binary64)) #s(approx (+ ( (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 y x z) y))))
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y))))
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y))))
#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t))
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 1999999999999999923659381683629879726898470672553570302890808246910200808111311381352383420329189120737404579161064142182622522767310848 binary64)) #s(approx (/ 1 (pow (+ ( (+ (* y x) z) y) t) -1)) (.f64 #s(approx (+ ( y (/ (+ (* x y) z) t)) 1) #s(literal 1 binary64)) t)) #s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))))
#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

Outputs
(+.f64 t (.f64 (+.f64 z (.f64 y x)) y))
(if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal -10000000000000000328415624892049260789870125663596116955123134262587470068987879955440013156277274126839495047843224355786484906342114918400 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (fma.f64 y x z) y)) (if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal 1999999999999999923659381683629879726898470672553570302890808246910200808111311381352383420329189120737404579161064142182622522767310848 binary64)) #s(approx (+ ( (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 y x z) y))))
(if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x)) (if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y x) y))))
(if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal -1999999999999999976905139389282906579782825695533667793354736930857696261802069818591759239817890633118585175139916931349309985855457249115766978327499080492713782258213467183862609667387277131256364612156226766545565568781988099212151532024379513329680384 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y x) y)) (if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y x) y))))
#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t))
(if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal 1999999999999999923659381683629879726898470672553570302890808246910200808111311381352383420329189120737404579161064142182622522767310848 binary64)) #s(approx (/ 1 (pow (+ ( (+ (* y x) z) y) t) -1)) (.f64 #s(approx (+ ( y (/ (+ (* x y) z) t)) 1) #s(literal 1 binary64)) t)) #s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))))
#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

soundness1.0s (13.9%)

Memory

18.8MiB live, 638.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	41	24
2	308	24
3	3837	24
0	8119	20
0	790	8878
1	2606	8568
0	8253	7855
0	29	180
0	48	142
1	202	142
2	1343	142
0	8319	142
0	1640	14242
1	5633	13923
0	8250	13318
0	93	840
1	335	840
2	1007	840
3	2710	832
4	5643	832
0	8127	710

Stop Event

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

Compiler

Compiled 428 to 168 computations (60.7% saved)

preprocess53.0ms (0.7%)

Memory: 6.5MiB live, 158.1MiB allocated
Compiler: Compiled 628 to 128 computations (79.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample922.0ms (12.9%)

explain119.0ms (1.7%)

preprocess123.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize35.0ms (0.5%)

series12.0ms (0.2%)

simplify126.0ms (1.8%)

rewrite447.0ms (6.2%)

eval64.0ms (0.9%)

prune19.0ms (0.3%)

simplify438.0ms (6.1%)

localize109.0ms (1.5%)

series117.0ms (1.6%)

simplify260.0ms (3.6%)

rewrite263.0ms (3.7%)

eval568.0ms (7.9%)

prune72.0ms (1%)

simplify170.0ms (2.4%)

localize148.0ms (2.1%)

series62.0ms (0.9%)

simplify219.0ms (3.1%)

rewrite205.0ms (2.9%)

eval245.0ms (3.4%)

prune89.0ms (1.2%)

simplify190.0ms (2.7%)

localize140.0ms (2%)

series87.0ms (1.2%)

simplify181.0ms (2.5%)

rewrite180.0ms (2.5%)

eval180.0ms (2.5%)

prune51.0ms (0.7%)

regimes85.0ms (1.2%)

regimes100.0ms (1.4%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes23.0ms (0.3%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify28.0ms (0.4%)

soundness1.0s (13.9%)

preprocess53.0ms (0.7%)

end0.0ms (0%)

Profiling