Metrics for Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze60.0ms (0.7%)

Memory

8.6MiB live, 47.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.3s (15.5%)

Memory

33.6MiB live, 1 196.8MiB allocated

Samples

817.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 555.0ms

ival-sub: 212.0ms (38.2% of total)

ival-add: 145.0ms (26.1% of total)

ival-mult: 115.0ms (20.7% of total)

ival-div: 62.0ms (11.2% of total)

exact: 11.0ms (2% of total)

ival-true: 7.0ms (1.3% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain288.0ms (3.5%)

Memory

-0.5MiB live, 203.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
0	-	-	`(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 y #s(literal 3/4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`#s(literal 3/4 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 x (*.f64 y #s(literal 3/4 binary64)))`
0	-	-	`(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`	o/n	1	0
↳	`(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z))`	overflow	2

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms	436×	0	valid
18.0ms	20×	2	valid
6.0ms	34×	1	valid
4.0ms	16×	3	valid
2.0ms	6×	4	valid

Compiler

Compiled 125 to 40 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 21.0ms (51.3% of total)

ival-add: 6.0ms (14.7% of total)

ival-div: 4.0ms (9.8% of total)

ival-sub: 4.0ms (9.8% of total)

adjust: 3.0ms (7.3% of total)

ival-true: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

preprocess497.0ms (6.1%)

Memory

-1.1MiB live, 193.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 256×	`lower-fma.f64`
4 256×	`lower-fma.f32`
1 348×	`div-sub`
1 344×	`lower-*.f32`
1 340×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	130
1	124	117
2	374	117
3	1076	117
4	3189	103
5	7238	103
0	12	13
0	18	13
1	30	13
2	58	13
3	110	13
4	212	13
5	467	9
6	939	9
7	1771	9
8	2890	9
9	4617	9
10	5350	9
11	5950	9
12	5957	9
13	5959	9
14	5959	9
15	6177	9
16	6286	9
17	6286	9
18	6286	9
19	6286	9
20	6318	9
21	6431	9
0	6431	8

Stop Event

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

Calls

Call 1

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

Outputs

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

(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64))

Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify241.0ms (2.9%)

Memory

35.1MiB live, 112.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z))
cost-diff	128	(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
cost-diff	192	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))
cost-diff	320	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)

Rules

4 256×	`lower-fma.f64`
4 256×	`lower-fma.f32`
1 348×	`div-sub`
1 344×	`lower-*.f32`
1 340×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
0	18	54
1	30	54
2	58	54
3	110	54
4	212	54
5	467	48
6	939	48
7	1771	48
8	2890	48
9	4617	48
10	5350	48
11	5950	48
12	5957	48
13	5959	48
14	5959	48
15	6177	48
16	6286	48
17	6286	48
18	6286	48
19	6286	48
20	6318	48
21	6431	48
0	6431	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1%)

Memory

-33.8MiB live, 74.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z))
accuracy	0.0390625	(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
accuracy	0.125	(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
accuracy	0.31249173878058245	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)

Samples

45.0ms	10×	2	valid
21.0ms	218×	0	valid
2.0ms	17×	1	valid
2.0ms	8×	3	valid
1.0ms	3×	4	valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 18.0ms (68% of total)

ival-add: 3.0ms (11.3% of total)

adjust: 2.0ms (7.6% of total)

ival-div: 2.0ms (7.6% of total)

ival-sub: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

1.6MiB live, 39.9MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (.f64 y #s(literal 3/4 binary64))) (patch (+.f64 x (.f64 y #s(literal 3/4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation binary64>) () ())

Outputs
#s(alt (* 4 (/ (+ x (* 3/4 y)) y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (+ x (* 3/4 y))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 3/4 y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 3/4 y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 3/4 y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3/4 y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 3/4 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 3/4 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 3/4 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) (patch (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) (patch (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))
2.0ms	x	@	-inf	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))
1.0ms	z	@	inf	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))
1.0ms	z	@	0	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))
1.0ms	y	@	inf	((/ (* 4 (- (+ x (* y 3/4)) z)) y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ x (* y 3/4)) (* 4 (- (+ x (* y 3/4)) z)) (- (+ x (* y 3/4)) z))

simplify183.0ms (2.2%)

Memory

-1.2MiB live, 197.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 206×	`lower-fma.f64`
12 206×	`lower-fma.f32`
4 778×	`lower-*.f64`
4 778×	`lower-*.f32`
2 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	1612
1	446	1612
2	1224	1540
3	3683	1200
0	8290	1070

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 163

Calls

Call 1

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

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

rewrite232.0ms (2.8%)

Memory

0.8MiB live, 243.8MiB allocated

Rules

6 902×	`lower-fma.f64`
6 902×	`lower-fma.f32`
5 378×	`lower-*.f32`
5 374×	`lower-*.f64`
3 678×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	18	45
1	74	45
2	629	45
0	8470	39

Stop Event

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

Counts

5 → 436

Calls

Call 1

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

Outputs
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eval140.0ms (1.7%)

Memory: -19.9MiB live, 175.3MiB allocated
Compiler: Compiled 14 460 to 1 967 computations (86.4% saved)

prune15.0ms (0.2%)

Memory

27.4MiB live, 65.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	591	8	599
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	592	8	600

Accuracy

100.0%

Counts

600 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
	66.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
▶	99.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
▶	37.2%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
	32.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
	65.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))
▶	70.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))))
▶	35.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Compiler

Compiled 108 to 122 computations (-13% saved)

simplify232.0ms (2.8%)

Memory

-12.8MiB live, 109.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 4 binary64))
cost-diff	0	#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
cost-diff	0	(/.f64 #s(literal -4 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))))
cost-diff	128	(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))
cost-diff	0	(/.f64 #s(literal 4 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
cost-diff	0	(/.f64 #s(literal -4 binary64) y)
cost-diff	0	(-.f64 z x)
cost-diff	0	(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))

Rules

4 352×	`lower-fma.f32`
4 348×	`lower-fma.f64`
1 408×	`lower-*.f32`
1 404×	`lower-*.f64`
830×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	179
0	40	179
1	73	179
2	133	179
3	242	179
4	464	179
5	1154	159
6	2495	159
7	4523	159
8	5238	159
9	5370	159
10	5419	159
11	5435	159
12	5460	159
13	5741	159
14	5864	159
15	5864	159
16	5864	159
17	5884	159
18	5892	159
0	5892	154

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize106.0ms (1.3%)

Memory

2.7MiB live, 157.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
accuracy	0	(*.f64 x #s(literal 4 binary64))
accuracy	0.31249173878058245	(/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)
accuracy	40.93094587024198	#s(approx (* 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64)))
accuracy	0	(/.f64 #s(literal -4 binary64) y)
accuracy	0	(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))
accuracy	0.1015625	(fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))
accuracy	18.890258091264574	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))))
accuracy	0	(/.f64 #s(literal 4 binary64) y)
accuracy	0.1875	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy	40.10526324825607	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
accuracy	41.14041564802918	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
accuracy	0	(/.f64 #s(literal -4 binary64) y)
accuracy	0	(-.f64 z x)
accuracy	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
accuracy	0.1328125	(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))

Samples

41.0ms	229×	0	valid
6.0ms	15×	1	valid
3.0ms	9×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 147 to 25 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 9.0ms (27.3% of total)

ival-neg: 9.0ms (27.3% of total)

ival-div: 5.0ms (15.1% of total)

ival-add: 5.0ms (15.1% of total)

adjust: 2.0ms (6.1% of total)

ival-sub: 2.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory

17.9MiB live, 92.9MiB allocated

Counts

15 → 420

Calls

Call 1

Inputs
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 4 binary64) y) x) (patch (.f64 (/.f64 #s(literal 4 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) (patch (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) (patch (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) y) x) (patch (.f64 (/.f64 #s(literal 4 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) y) x) (patch (.f64 (/.f64 #s(literal 4 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) y) x) (patch (.f64 (/.f64 #s(literal 4 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) y) x) (patch (.f64 (/.f64 #s(literal 4 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ x y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) (patch (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) (patch (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) (patch (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) (patch (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) y) (patch (/.f64 #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) (taylor -inf x) (#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) (taylor -inf x) (#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4))) (taylor -inf x) (#s(alt #s(approx (* 4 (- (+ x (* y 3/4)) z)) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (+ x (* y 3/4)) z)) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- z x) (/ -4 y)) 4) (- z x) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4))
4.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- z x) (/ -4 y)) 4) (- z x) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4))
2.0ms	y	@	0	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- z x) (/ -4 y)) 4) (- z x) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4))
2.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- z x) (/ -4 y)) 4) (- z x) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4))
2.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (- z x) (/ -4 y)) 4) (- z x) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ 4 y) x) (/ 4 y) (neg (+ (* (/ -4 y) x) -4)) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ -4 y) x) -4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* 4 (- (+ x (* y 3/4)) z)) y) (* 4 (- (+ x (* y 3/4)) z)) (* x 4))

simplify169.0ms (2.1%)

Memory

-33.1MiB live, 211.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 382×	`lower-fma.f64`
14 382×	`lower-fma.f32`
4 798×	`lower-*.f64`
4 798×	`lower-*.f32`
3 204×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	4457
1	513	4403
2	1431	4305
3	4191	2991
0	8247	2718

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 417

Calls

Call 1

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

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

rewrite282.0ms (3.5%)

Memory

31.6MiB live, 226.3MiB allocated

Rules

5 012×	`lower-/.f32`
5 006×	`lower-/.f64`
4 188×	`lower-*.f32`
4 184×	`lower-*.f64`
4 028×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	160
0	40	160
1	176	160
2	1387	160
0	8592	147

Stop Event

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

Counts

15 → 291

Calls

Call 1

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

Outputs
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eval116.0ms (1.4%)

Memory: 7.8MiB live, 170.0MiB allocated
Compiler: Compiled 9 223 to 1 125 computations (87.8% saved)

prune97.0ms (1.2%)

Memory

-9.9MiB live, 72.9MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	731	3	734
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	735	7	742

Accuracy

100.0%

Counts

742 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
▶	70.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	99.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
▶	37.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
▶	65.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶	32.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	35.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Compiler

Compiled 79 to 88 computations (-11.4% saved)

simplify214.0ms (2.6%)

Memory

6.3MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x z)
cost-diff	0	(/.f64 (-.f64 x z) y)
cost-diff	0	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
cost-diff	0	(/.f64 z y)
cost-diff	0	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
cost-diff	0	(*.f64 x #s(literal 4 binary64))
cost-diff	0	(/.f64 (*.f64 x #s(literal 4 binary64)) y)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
cost-diff	0	(/.f64 #s(literal -4 binary64) y)
cost-diff	0	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))

Rules

4 256×	`lower-fma.f32`
4 252×	`lower-fma.f64`
1 344×	`lower-*.f32`
1 338×	`lower-*.f64`
1 248×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	165
0	42	165
1	74	165
2	105	165
3	162	165
4	292	165
5	574	145
6	1120	145
7	2004	145
8	3307	145
9	4825	145
10	5336	145
11	5751	145
12	5760	145
13	5765	145
14	6215	145
15	6413	145
16	6413	145
17	6413	145
18	6445	145
19	6564	145
0	6564	140

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(/.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
(/.f64 z y)
z
y
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
#s(literal 4 binary64)

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

localize200.0ms (2.4%)

Memory

-24.5MiB live, 100.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x z)
accuracy	0.006191259768442017	(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy	0.01171875	(/.f64 (-.f64 x z) y)
accuracy	21.806681944822706	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
accuracy	0	(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
accuracy	0	(/.f64 z y)
accuracy	21.523271247046765	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
accuracy	0	(/.f64 (*.f64 x #s(literal 4 binary64)) y)
accuracy	0	(*.f64 x #s(literal 4 binary64))
accuracy	40.10526324825607	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
accuracy	0	(/.f64 #s(literal -4 binary64) y)
accuracy	0.23046875	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy	43.12010681107564	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
accuracy	0	(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
accuracy	0	(/.f64 x y)
accuracy	18.890258091264574	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))

Samples

144.0ms

256×

valid

Compiler

Compiled 135 to 28 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-add: 35.0ms (53.9% of total)

ival-div: 10.0ms (15.4% of total)

ival-mult: 10.0ms (15.4% of total)

exact: 7.0ms (10.8% of total)

ival-sub: 2.0ms (3.1% of total)

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

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

series52.0ms (0.6%)

Memory

-10.8MiB live, 27.0MiB allocated

Counts

16 → 444

Calls

Call 1

Inputs
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -4 binary64) y) z) (patch (.f64 (/.f64 #s(literal -4 binary64) y) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -4 binary64) y) (patch (/.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())

Outputs
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#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #<representation binary64>) () ())) ())
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#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal -4 binary64) y) z) (patch (.f64 (/.f64 #s(literal -4 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal -4 binary64) y) z) (patch (.f64 (/.f64 #s(literal -4 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal -4 binary64) y) z) (patch (.f64 (/.f64 #s(literal -4 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal -4 binary64) y) z) (patch (.f64 (/.f64 #s(literal -4 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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#s(alt 4 (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 4 (* -4 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
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#s(alt (* 4 (/ x y)) (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ x y))) (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
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#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 4 binary64)) y) (patch (/.f64 (.f64 x #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) (patch (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* x 4) y) (* x 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))
2.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* x 4) y) (* x 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))
2.0ms	y	@	0	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* x 4) y) (* x 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))
2.0ms	x	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* x 4) y) (* x 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))
2.0ms	z	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ x y) 4) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* x 4) y) (* x 4) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (+ (* (/ z y) -4) 4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))

simplify299.0ms (3.7%)

Memory

8.9MiB live, 164.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 434×	`lower-fma.f64`
12 434×	`lower-fma.f32`
3 524×	`lower-*.f64`
3 524×	`lower-*.f32`
1 832×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	4056
1	393	3966
2	1098	3826
3	3314	3415
4	6172	2648
0	8326	2470

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

Calls

Call 1

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

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

rewrite218.0ms (2.7%)

Memory

41.4MiB live, 190.5MiB allocated

Rules

4 938×	`lower-/.f32`
4 928×	`lower-/.f64`
4 528×	`lower-*.f32`
4 522×	`lower-*.f64`
4 346×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	148
0	42	148
1	174	148
2	1329	148
0	8356	138

Stop Event

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

Counts

16 → 469

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 x y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(/.f64 #s(literal -4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
(/.f64 (*.f64 x #s(literal 4 binary64)) y)
(*.f64 x #s(literal 4 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))
(/.f64 z y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)

Outputs
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eval423.0ms (5.2%)

Memory: -21.1MiB live, 274.9MiB allocated
Compiler: Compiled 10 791 to 1 819 computations (83.1% saved)

prune45.0ms (0.5%)

Memory

-24.6MiB live, 95.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	909	1	910
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	909	8	917

Accuracy

100.0%

Counts

917 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
✓	70.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	99.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
✓	37.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
▶	32.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	65.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	32.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	35.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Compiler

Compiled 51 to 58 computations (-13.7% saved)

simplify239.0ms (2.9%)

Memory

21.5MiB live, 96.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -4 binary64) z)
cost-diff	0	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
cost-diff	0	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))

Rules

4 256×	`lower-fma.f64`
4 256×	`lower-fma.f32`
1 346×	`div-sub`
1 344×	`lower-*.f32`
1 342×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	30
0	18	30
1	33	30
2	63	30
3	112	30
4	222	30
5	479	26
6	938	26
7	1780	26
8	2908	26
9	4652	26
10	5399	26
11	5995	26
12	6002	26
13	6004	26
14	6004	26
15	6222	26
16	6331	26
17	6331	26
18	6331	26
19	6331	26
20	6363	26
21	6482	26
0	6482	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.6%)

Memory

-20.3MiB live, 101.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	43.12010681107564	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))

Samples

22.0ms

256×

valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 5.0ms (33.7% of total)

ival-mult: 4.0ms (27% of total)

ival-div: 3.0ms (20.2% of total)

ival-sub: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())

#s(alt (/.f64 (*.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (*.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())

#s(alt (*.f64 #s(literal -4 binary64) z) (patch (*.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())

Outputs
#s(alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor 0 z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y))))) (taylor -inf z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor -inf z) (#s(alt (.f64 #s(literal -4 binary64) z) (patch (.f64 #s(literal -4 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x z) y)) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 4 y) (* 4 (- x z))) y) (taylor 0 y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt 4 (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (/ (- x z) y))) (taylor inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt 4 (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 4 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal -4 binary64) z) y) (patch (/.f64 (.f64 #s(literal -4 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))) (taylor 0 x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) (taylor inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x y)) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))
1.0ms	z	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))
1.0ms	z	@	0	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))
1.0ms	y	@	inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))
1.0ms	y	@	-inf	((+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/ (* -4 z) y) (* -4 z))

simplify142.0ms (1.7%)

Memory

-0.5MiB live, 153.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 206×	`lower-fma.f64`
7 206×	`lower-fma.f32`
2 748×	`lower--.f64`
2 748×	`lower--.f32`
2 332×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	666
1	175	666
2	442	662
3	1130	581
4	2735	446
5	6531	442
0	8243	413

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite231.0ms (2.8%)

Memory

14.5MiB live, 219.4MiB allocated

Rules

6 896×	`lower-fma.f64`
6 896×	`lower-fma.f32`
5 352×	`lower-*.f32`
5 350×	`lower-*.f64`
3 688×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
0	18	27
1	82	27
2	674	27
0	8572	25

Stop Event

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

Counts

3 → 53

Calls

Call 1

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

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

eval14.0ms (0.2%)

Memory: -1.7MiB live, 34.9MiB allocated
Compiler: Compiled 969 to 176 computations (81.8% saved)

prune15.0ms (0.2%)

Memory

-21.9MiB live, 22.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	125	8	133

Accuracy

100.0%

Counts

133 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64)))
✓	70.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))
✓	99.8%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
✓	37.3%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
✓	32.6%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
✓	65.9%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓	32.5%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
✓	35.7%	#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Compiler

Compiled 145 to 105 computations (27.6% saved)

regimes29.0ms (0.4%)

Memory

-1.1MiB live, 72.5MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
7.0ms	z
5.0ms	y
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
99.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes25.0ms (0.3%)

Memory

-12.3MiB live, 73.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))

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

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))

Calls

5 calls:

6.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
90.5%	3	`x`
88.7%	3	`y`
89.5%	3	`z`
99.0%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
99.0%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes8.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))

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

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))

Calls

2 calls:

3.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)

3.0ms

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

Results

Accuracy	Segments	Branch
98.8%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
98.8%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes35.0ms (0.4%)

Memory

-11.8MiB live, 26.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

28.0ms

3.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)

3.0ms

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

Results

Accuracy	Segments	Branch
90.5%	3	`x`
74.0%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
74.0%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 25 to 25 computations (0% saved)

regimes9.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))

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

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))

Calls

3 calls:

3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
70.5%	1	`y`
84.0%	3	`z`
73.9%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes14.0ms (0.2%)

Memory

-6.1MiB live, 32.7MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	z
3.0ms	y
2.0ms	x
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
60.0%	3	`y`
56.9%	3	`x`
71.9%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
71.9%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`
60.3%	5	`z`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes6.0ms (0.1%)

Memory

-24.6MiB live, 13.8MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

4.0ms

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

2.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
71.8%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
71.8%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes4.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))

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

Calls

2 calls:

2.0ms

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

2.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
71.8%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
71.8%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))

Calls

2 calls:

2.0ms

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

1.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
64.6%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
64.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes10.0ms (0.1%)

Memory

-18.2MiB live, 22.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Calls

5 calls:

5.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)

Results

Accuracy	Segments	Branch
35.7%	1	`x`
35.7%	1	`z`
35.7%	1	`y`
35.7%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y))`
35.7%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y)`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	69.24719557448951	20663.906820708125
0.0ms	-95083246750001.1	-141885197.7567699

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	69.24719557448951	20663.906820708125
0.0ms	-95083246750001.1	-141885197.7567699

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch37.0ms (0.5%)

Memory

11.0MiB live, 87.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.193848529972579e-78	3.5519760742512834e-73
17.0ms	-7.413187420917541e-47	-5.799791478474884e-57

Samples

19.0ms

304×

valid

Compiler

Compiled 282 to 341 computations (-20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (42.2% of total)

ival-add: 3.0ms (25.3% of total)

ival-div: 2.0ms (16.9% of total)

ival-sub: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch79.0ms (1%)

Memory

5.5MiB live, 91.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	8.403660387803794e+114	8.112461994357042e+116
15.0ms	-9.068876810797221e+145	-2.3768848685568965e+139

Samples

47.0ms

256×

valid

Compiler

Compiled 224 to 274 computations (-22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (48.1% of total)

ival-div: 2.0ms (19.2% of total)

ival-add: 2.0ms (19.2% of total)

ival-sub: 1.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.5507928920859254e+85	5.423436038070077e+86
0.0ms	20663.906820708125	147907370053697.56
0.0ms	-34791.171202262616	2.99943508833562

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.5507928920859254e+85	5.423436038070077e+86
0.0ms	20663.906820708125	147907370053697.56
0.0ms	-34791.171202262616	2.99943508833562

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.5507928920859254e+85	5.423436038070077e+86
0.0ms	20663.906820708125	147907370053697.56
0.0ms	-34791.171202262616	2.99943508833562

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	20663.906820708125	147907370053697.56
0.0ms	-34791.171202262616	2.99943508833562

Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify45.0ms (0.5%)

Memory

-0.4MiB live, 112.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
10×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	774
1	100	774
2	108	774
3	112	774
4	114	774

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 100 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 100 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 x #s(literal -3537834798240593/205688069665150755269371147819668813122841983204197482918576128 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 5251733376487347/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))))
(if (<=.f64 z #s(literal -53999999999999995162884686514580018746145598255708633273618095375160145526046599015318158680783822033041168861200563045334898244013837516800 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 269999999999999995452039455823999919062405468698201125597160333143475375211401614241734058479559117978522987742101504 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 100 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -50000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 100 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 100 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -50000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 100 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))))
(if (<=.f64 x #s(literal -3537834798240593/205688069665150755269371147819668813122841983204197482918576128 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 5251733376487347/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)))))
(if (<=.f64 z #s(literal -53999999999999995162884686514580018746145598255708633273618095375160145526046599015318158680783822033041168861200563045334898244013837516800 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 z #s(literal 269999999999999995452039455823999919062405468698201125597160333143475375211401614241734058479559117978522987742101504 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (*.f64 x #s(literal 4 binary64)) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (/.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal 4 binary64) y) x)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -20000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 #s(literal 3/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 40000 binary64)) #s(approx (+ 1 (/ ( 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y)) #s(literal 4 binary64))

soundness1.6s (19.4%)

Memory

2.5MiB live, 756.6MiB allocated

Rules

14 382×	`lower-fma.f64`
14 382×	`lower-fma.f32`
12 206×	`lower-fma.f64`
12 206×	`lower-fma.f32`
5 012×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	160
0	40	160
1	176	160
2	1387	160
0	8592	147
0	173	4457
1	513	4403
2	1431	4305
3	4191	2991
0	8247	2718
0	29	148
0	42	148
1	174	148
2	1329	148
0	8356	138
0	148	1612
1	446	1612
2	1224	1540
3	3683	1200
0	8290	1070

Stop Event

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

Compiler

Compiled 489 to 204 computations (58.3% saved)

preprocess72.0ms (0.9%)

Memory: 12.1MiB live, 129.7MiB allocated
Compiler: Compiled 820 to 176 computations (78.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze60.0ms (0.7%)

sample1.3s (15.5%)

explain288.0ms (3.5%)

preprocess497.0ms (6.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify241.0ms (2.9%)

localize79.0ms (1%)

series19.0ms (0.2%)

simplify183.0ms (2.2%)

rewrite232.0ms (2.8%)

eval140.0ms (1.7%)

prune15.0ms (0.2%)

simplify232.0ms (2.8%)

localize106.0ms (1.3%)

series39.0ms (0.5%)

simplify169.0ms (2.1%)

rewrite282.0ms (3.5%)

eval116.0ms (1.4%)

prune97.0ms (1.2%)

simplify214.0ms (2.6%)

localize200.0ms (2.4%)

series52.0ms (0.6%)

simplify299.0ms (3.7%)

rewrite218.0ms (2.7%)

eval423.0ms (5.2%)

prune45.0ms (0.5%)

simplify239.0ms (2.9%)

localize51.0ms (0.6%)

series7.0ms (0.1%)

simplify142.0ms (1.7%)

rewrite231.0ms (2.8%)

eval14.0ms (0.2%)

prune15.0ms (0.2%)

regimes29.0ms (0.4%)

regimes25.0ms (0.3%)

regimes8.0ms (0.1%)

regimes35.0ms (0.4%)

regimes9.0ms (0.1%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch37.0ms (0.5%)

bsearch79.0ms (1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify45.0ms (0.5%)

soundness1.6s (19.4%)

preprocess72.0ms (0.9%)

end0.0ms (0%)

Profiling