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

analyze39.0ms (0.6%)

Memory

3.4MiB live, 83.6MiB 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)

sample2.3s (33.2%)

Memory

-118.5MiB live, 1 355.7MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-div: 487.0ms (47.3% of total)

ival-add: 360.0ms (35% of total)

ival-mult: 116.0ms (11.3% of total)

ival-sub: 46.0ms (4.5% of total)

exact: 10.0ms (1% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess528.0ms (7.5%)

Memory

-21.6MiB live, 477.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 292×	`lower-fma.f64`
7 292×	`lower-fma.f32`
2 920×	`lower-/.f32`
2 918×	`lower-/.f64`
2 674×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	130
1	124	117
2	374	117
3	1076	101
4	3227	85
5	7480	85
0	12	13
0	18	13
1	30	13
2	58	13
3	110	13
4	211	11
5	474	9
6	1472	9
7	4626	9
0	8107	8

Stop Event

1×	iter limit
1×	node limit
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 1/4 binary64))) z)) y))

Outputs

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

(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))

explain185.0ms (2.6%)

Memory

16.2MiB live, 338.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

60.0ms

512×

valid

Compiler

Compiled 144 to 52 computations (63.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 28.0ms (66.8% of total)

ival-add: 5.0ms (11.9% of total)

ival-sub: 4.0ms (9.5% of total)

ival-div: 4.0ms (9.5% of total)

exact: 1.0ms (2.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Compiler

Compiled 16 to 12 computations (25% saved)

simplify222.0ms (3.1%)

Memory

7.2MiB live, 399.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

7 292×	`lower-fma.f64`
7 292×	`lower-fma.f32`
2 920×	`lower-/.f32`
2 918×	`lower-/.f64`
2 674×	`lower-*.f32`

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	211	48
5	474	46
6	1472	46
7	4626	46
0	8107	41

Stop Event

1×	iter limit
1×	node limit
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 1/4 binary64))) z)) y))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
#s(literal 4 binary64)
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
x
(*.f64 y #s(literal 1/4 binary64))
y
#s(literal 1/4 binary64)
z

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
#s(literal 4 binary64)
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
(-.f64 x (fma.f64 y #s(literal -1/4 binary64) z))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(fma.f64 y #s(literal 1/4 binary64) x)
x
(*.f64 y #s(literal 1/4 binary64))
y
#s(literal 1/4 binary64)
z

localize35.0ms (0.5%)

Memory

-1.5MiB live, 35.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 1/4 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))
✓	accuracy	100.0%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Samples

22.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

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

ival-mult: 8.0ms (59.1% of total)

ival-div: 2.0ms (14.8% of total)

ival-add: 2.0ms (14.8% of total)

ival-sub: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

5 → 144

Calls

Call 1

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

Outputs
#<alt (* 4 (- (* 1/4 y) z))>
#<alt (+ (* 4 x) (* 4 (- (* 1/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 1/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 1/4 y) z)))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))>
#<alt (* 4 (- x z))>
#<alt (+ y (* 4 (- x z)))>
#<alt (+ y (* 4 (- x z)))>
#<alt (+ y (* 4 (- x z)))>
#<alt y>
#<alt (* y (+ 1 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 1 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 1 (* 4 (/ (- x z) y))))>
#<alt y>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1)))>
#<alt (* 4 (+ x (* 1/4 y)))>
#<alt (+ (* -4 z) (* 4 (+ x (* 1/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 1/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 1/4 y))))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))>
#<alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* 1/4 y)>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/4 (/ y x))))>
#<alt (* x (+ 1 (* 1/4 (/ y x))))>
#<alt (* x (+ 1 (* 1/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt (* 1/4 y)>
#<alt (* y (+ 1/4 (/ x y)))>
#<alt (* y (+ 1/4 (/ x y)))>
#<alt (* y (+ 1/4 (/ x y)))>
#<alt (* 1/4 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/4)))>
#<alt (* 4 (/ (- (* 1/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (+ x (* 1/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* 4 (- (+ x (* y 1/4)) z)) y)
1.0ms	x	@	0	(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
1.0ms	y	@	inf	(* 4 (- (+ x (* y 1/4)) z))
0.0ms	x	@	inf	(* 4 (- (+ x (* y 1/4)) z))
0.0ms	z	@	inf	(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))

rewrite417.0ms (5.9%)

Memory

-24.2MiB live, 609.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 902×	`lower-fma.f64`
6 902×	`lower-fma.f32`
5 372×	`lower-*.f32`
5 368×	`lower-*.f64`
3 676×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	18	41
1	74	41
2	629	41
0	8480	36

Stop Event

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

Counts

5 → 335

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 4 binary64) x) (.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)))
(+.f64 (.f64 #s(literal 4 binary64) (-.f64 (.f64 y #s(literal 1/4 binary64)) z)) (*.f64 #s(literal 4 binary64) x))
(+.f64 (.f64 #s(literal -4 binary64) z) (.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)))
(+.f64 (.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64)))
(+.f64 (.f64 (-.f64 (.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64)))
(+.f64 (.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 #s(literal -4 binary64) z))
(+.f64 (.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 (neg.f64 z) #s(literal 4 binary64)))
(+.f64 (.f64 (neg.f64 z) #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) z)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 4 binary64) (.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)) #s(literal 1 binary64)))
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(/.f64 (.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (-.f64 x (-.f64 (.f64 y #s(literal 1/4 binary64)) z))) (/.f64 #s(literal 4 binary64) y)) (-.f64 x (-.f64 (.f64 y #s(literal 1/4 binary64)) z)))
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(/.f64 (.f64 (.f64 #s(literal 4 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 y #s(literal 1/4 binary64) x) (.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 z (.f64 z z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))
(/.f64 (.f64 (.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y))
(.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y))
(.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y)))
(.f64 (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y)) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 (fma.f64 y #s(literal 1/4 binary64) x) (.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))) (/.f64 #s(literal 4 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 4 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) y))
(.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y))
(.f64 #s(literal -4 binary64) (.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(/.f64 y #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 (neg.f64 y) #s(literal -4 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)

simplify472.0ms (6.7%)

Memory

14.3MiB live, 610.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 484×	`lower-fma.f64`
16 484×	`lower-fma.f32`
5 278×	`lower-*.f64`
5 278×	`lower-*.f32`
2 388×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1280
1	360	1259
2	961	1020
3	3605	976
0	8398	865

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 139

Calls

Call 1

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

Outputs
(* 4 (- (* 1/4 y) z))
(fma.f64 z #s(literal -4 binary64) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ y (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ y (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ y (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
y
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 (+ x (* 1/4 y)))
(fma.f64 #s(literal 4 binary64) x y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x)))
(* 4 (/ (- x z) y))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 4 (/ (- (* 1/4 y) z) y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ (- x z) y))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ (+ x (* 1/4 y)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)

eval82.0ms (1.2%)

Memory: -2.0MiB live, 124.3MiB allocated
Compiler: Compiled 12 380 to 1 390 computations (88.8% saved)

prune63.0ms (0.9%)

Memory

7.7MiB live, 123.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	468	6	474
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	6	475

Accuracy

100.0%

Counts

475 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.0%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
▶	69.5%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
	65.5%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
▶	34.3%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
▶	35.9%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
▶	34.6%	#s(literal 2 binary64)

Compiler

Compiled 96 to 74 computations (22.9% saved)

simplify7.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	cost-diff	(*.f64 #s(literal 1/4 binary64) y)
✓	cost-diff	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
✓	cost-diff	(/.f64 z y)
✓	cost-diff	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	cost-diff	(/.f64 z y)
✓	cost-diff	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))

Rules

28×	`lower-*.f32`
24×	`lower-*.f64`
20×	`lower-/.f32`
16×	`lower-fma.f32`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	22	49
1	33	49
2	38	49
3	42	49
4	44	49
0	44	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
#s(literal -4 binary64)
(/.f64 z y)
z
y
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
x
(*.f64 #s(literal 1/4 binary64) y)
#s(literal 1/4 binary64)
y
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
#s(literal 4 binary64)
(/.f64 x y)
x
y
#s(literal 2 binary64)

Outputs
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
#s(literal -4 binary64)
(/.f64 z y)
z
y
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(/.f64 x (*.f64 y #s(literal 1/4 binary64)))
x
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
y
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
#s(literal 4 binary64)
(/.f64 x y)
x
y
#s(literal 2 binary64)

localize44.0ms (0.6%)

Memory

-25.9MiB live, 95.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) y)
✓	accuracy	100.0%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	accuracy	100.0%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 z y)

Samples

28.0ms

256×

valid

Compiler

Compiled 51 to 17 computations (66.7% saved)

Precisions

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

ival-div: 6.0ms (43.7% of total)

ival-mult: 5.0ms (36.5% of total)

ival-add: 2.0ms (14.6% of total)

exact: 1.0ms (7.3% of total)

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

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

series9.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

7 → 156

Calls

Call 1

Inputs
#<alt (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))>
#<alt (/.f64 z y)>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (/.f64 x (*.f64 #s(literal 1/4 binary64) y))>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))>
#<alt (/.f64 x y)>

Outputs
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -4 (/ z y))>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ x (* 1/4 y))
0.0ms	x	@	inf	(/ x (* 1/4 y))
0.0ms	y	@	inf	(/ x (* 1/4 y))
0.0ms	z	@	inf	(+ (* -4 (/ z y)) 2)
0.0ms	y	@	0	(+ (* -4 (/ z y)) 2)

rewrite265.0ms (3.8%)

Memory

8.7MiB live, 402.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 912×	`lower-fma.f32`
3 908×	`lower-fma.f64`
3 856×	`lower-*.f32`
3 852×	`lower-*.f64`
2 682×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
0	22	31
1	76	31
2	460	31
3	5999	31
0	8048	31

Stop Event

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

Counts

7 → 312

Calls

Call 1

Inputs
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/.f64 z y)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)

Outputs
(+.f64 #s(literal 2 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(+.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))
(+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 z z)) (.f64 (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) (.f64 y y))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 8 binary64))) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 8 binary64)) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (.f64 y #s(literal -1/4 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (.f64 y y))))))
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 8 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 512 binary64)) (.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal 64 binary64)) (.f64 (.f64 (/.f64 x y) (/.f64 (.f64 x x) (*.f64 y y))) #s(literal 512 binary64)))))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal -64 binary64)) (.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -8 binary64))))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal -64 binary64)) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (fma.f64 #s(literal 256 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 64 binary64) #s(literal 16 binary64)))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (+.f64 #s(literal 2 binary64) (/.f64 x (.f64 y #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 256 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -16 binary64)) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal 64 binary64)) (.f64 (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 512 binary64))) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -8 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 256 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 64 binary64) #s(literal 16 binary64))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 256 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 4 binary64)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (.f64 y y))))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (.f64 y #s(literal -1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (.f64 y y))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (.f64 y y))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (.f64 y y))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (.f64 y y)))) (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (.f64 y y))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 x y) #s(literal 9 binary64)) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)))) (-.f64 (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal 64 binary64)) (.f64 (.f64 (/.f64 x y) (/.f64 (.f64 x x) (*.f64 y y))) #s(literal 512 binary64))))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -8 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) (fma.f64 #s(literal 256 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 64 binary64) #s(literal 16 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 256 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (.f64 y #s(literal -1/4 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (.f64 y y))))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (*.f64 y y))) #s(literal 8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64)))
(.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -1/4 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -4 binary64))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 8 binary64)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -8 binary64) #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 x y) #s(literal -8 binary64) #s(literal 4 binary64)) (fma.f64 (/.f64 x y) #s(literal -8 binary64) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -8 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal -8 binary64) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y))) (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 #s(literal 16 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 8 binary64)) (.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal -8 binary64) #s(literal 4 binary64))))) (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal -8 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -4 binary64)) (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -8 binary64))) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 8 binary64) #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))

simplify286.0ms (4%)

Memory

-14.2MiB live, 60.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 136×	`lower-fma.f64`
1 136×	`lower-fma.f32`
752×	`lower-*.f64`
752×	`lower-*.f32`
340×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	708
1	86	708
2	162	708
3	349	708
4	691	708
5	922	708
6	1212	708
7	1485	708
8	2004	708
9	2503	708
10	2668	708
11	2803	708
12	2870	708
13	2880	708
14	2884	708
0	2884	672

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

Calls

Call 1

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

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/ (+ (* -4 z) (* 2 y)) y)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/ (+ (* -4 z) (* 2 y)) y)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/ (+ (* -4 z) (* 2 y)) y)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ 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 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ (+ (* 2 y) (* 4 x)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/ (+ (* 2 y) (* 4 x)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/ (+ (* 2 y) (* 4 x)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval88.0ms (1.2%)

Memory: 25.4MiB live, 105.8MiB allocated
Compiler: Compiled 6 909 to 737 computations (89.3% saved)

prune66.0ms (0.9%)

Memory

-20.4MiB live, 139.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	519	0	519
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	519	6	525

Accuracy

100.0%

Counts

525 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.0%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	69.5%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
▶	65.5%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	34.3%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
✓	35.9%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	34.6%	#s(literal 2 binary64)

Compiler

Compiled 48 to 37 computations (22.9% saved)

simplify72.0ms (1%)

Memory

-3.4MiB live, 73.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 1/4 binary64) y)
✓	cost-diff	(-.f64 x z)
✓	cost-diff	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))

Rules

816×	`lower-fma.f64`
816×	`lower-fma.f32`
528×	`lower-*.f32`
526×	`lower-*.f64`
424×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	18	17
2	36	17
3	59	17
4	117	17
5	191	17
6	297	17
7	520	17
8	1085	17
9	1865	17
10	1980	17
11	2084	17
12	2165	17
13	2165	17
0	2165	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

3.5MiB live, 42.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))

Samples

12.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-div: 2.0ms (38.8% of total)

ival-sub: 1.0ms (19.4% of total)

ival-mult: 1.0ms (19.4% 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

14.9MiB live, 14.9MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))>
#<alt (-.f64 x z)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>

Outputs
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/ (- x z) (* 1/4 y))
1.0ms	y	@	0	(/ (- x z) (* 1/4 y))
1.0ms	y	@	inf	(/ (- x z) (* 1/4 y))
0.0ms	x	@	0	(/ (- x z) (* 1/4 y))
0.0ms	x	@	-inf	(/ (- x z) (* 1/4 y))

rewrite465.0ms (6.6%)

Memory

-2.4MiB live, 359.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 510×	`lower-/.f32`
4 508×	`lower-/.f64`
3 590×	`lower-*.f32`
3 588×	`lower-*.f64`
1 982×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	39	13
2	279	13
3	3422	13
0	8222	13

Stop Event

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

Counts

3 → 484

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (/.f64 z (.f64 y #s(literal -1/4 binary64))))
(+.f64 (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64)))))
(+.f64 (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (.f64 (/.f64 #s(literal 4 binary64) y) (neg.f64 z)))
(+.f64 (/.f64 z (.f64 y #s(literal -1/4 binary64))) (/.f64 x (.f64 #s(literal 1/4 binary64) y)))
(+.f64 (.f64 (/.f64 #s(literal 4 binary64) y) (neg.f64 z)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)))
(+.f64 (.f64 (/.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 1 binary64)) (.f64 (/.f64 z (.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (-.f64 x z) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (/.f64 z (.f64 #s(literal 1/4 binary64) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x z) (*.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 z (.f64 y #s(literal -1/4 binary64))) (/.f64 x (.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/4 binary64) y)) (/.f64 (-.f64 x z) (.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal -1/4 binary64))) (/.f64 (-.f64 x z) (.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 #s(literal 1/4 binary64) y)) (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 #s(literal 1/4 binary64) y)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x z)) (.f64 #s(literal 1/4 binary64) y)) (/.f64 (/.f64 (.f64 z z) (+.f64 x z)) (.f64 #s(literal 1/4 binary64) y)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z))))) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z))))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z)))) (/.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z)))))
(-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (/.f64 (.f64 z (.f64 #s(literal 1/4 binary64) y)) (.f64 (.f64 y y) #s(literal 1/16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 y (.f64 y y))) (fma.f64 (/.f64 z (.f64 #s(literal 1/4 binary64) y)) (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 x z)) (/.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/16 binary64))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)) (.f64 y (.f64 y y))) (fma.f64 (/.f64 z (.f64 #s(literal 1/4 binary64) y)) (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 x z)) (/.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/16 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 x z))) (/.f64 (/.f64 (.f64 z z) (.f64 (.f64 y y) #s(literal 1/16 binary64))) (.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 x z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 x z) (*.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 x z) (*.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/4 binary64) y)) (/.f64 z (.f64 #s(literal 1/4 binary64) y)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z))))) (.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (neg.f64 (+.f64 x z))) (.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 (.f64 z z) (neg.f64 (+.f64 x z))) (.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))) (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))) (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z))))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 y #s(literal -1/4 binary64)))) (/.f64 (.f64 z (.f64 z z)) (.f64 (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 y #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))) (.f64 (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 y #s(literal -1/4 binary64)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))) (.f64 (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 y #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 y #s(literal -1/4 binary64)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) (.f64 y #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))))) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z)))) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 z z (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z)))) (/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 (+.f64 x z)) (.f64 y #s(literal -1/4 binary64)))) (/.f64 (.f64 z z) (.f64 (neg.f64 (+.f64 x z)) (.f64 y #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (neg.f64 (+.f64 x z)) (.f64 y #s(literal -1/4 binary64)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (neg.f64 (+.f64 x z)) (.f64 y #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 z z (.f64 x x))) (.f64 (neg.f64 (+.f64 x z)) (.f64 y #s(literal -1/4 binary64)))) (/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z (.f64 x x))) (.f64 (neg.f64 (+.f64 x z)) (.f64 y #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (+.f64 x z)))) (/.f64 (.f64 z z) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (+.f64 x z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (+.f64 x z)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (+.f64 x z)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 z z (.f64 x x))) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (+.f64 x z)))) (/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z (.f64 x x))) (.f64 (.f64 y #s(literal -1/4 binary64)) (neg.f64 (+.f64 x z)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 1/4 binary64)) y) (/.f64 (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 1/4 binary64)) y))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x z)) #s(literal 1/4 binary64)) y) (/.f64 (/.f64 (/.f64 (.f64 z z) (+.f64 x z)) #s(literal 1/4 binary64)) y))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/4 binary64) (fma.f64 x x (.f64 z (+.f64 x z))))) y) (/.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/4 binary64) (fma.f64 x x (.f64 z (+.f64 x z))))) y))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (+.f64 x z))) y) (/.f64 (/.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (+.f64 x z))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))) (/.f64 (*.f64 (-.f64 x z) #s(literal -4 binary64)) (neg.f64 (neg.f64 y))))
(-.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (neg.f64 (neg.f64 y))) (/.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 (neg.f64 y))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 y))) (/.f64 (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 y))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x z)) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 y))) (/.f64 (/.f64 (/.f64 (.f64 z z) (+.f64 x z)) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 y))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/4 binary64) (fma.f64 x x (.f64 z (+.f64 x z))))) (neg.f64 (neg.f64 y))) (/.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/4 binary64) (fma.f64 x x (.f64 z (+.f64 x z))))) (neg.f64 (neg.f64 y))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (+.f64 x z))) (neg.f64 (neg.f64 y))) (/.f64 (/.f64 (.f64 z z) (.f64 #s(literal 1/4 binary64) (+.f64 x z))) (neg.f64 (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/4 binary64) y) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))) (/.f64 (-.f64 x z) (.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -1/4 binary64)) (fma.f64 x x (.f64 z (+.f64 x z))))) (/.f64 (-.f64 x z) (.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z)))))) (/.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (*.f64 z (+.f64 x z)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/4 binary64) y) (neg.f64 (+.f64 x z)))) (/.f64 (-.f64 x z) (*.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 y #s(literal -1/4 binary64)) (+.f64 x z))) (/.f64 (-.f64 x z) (*.f64 y #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z))))) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) (neg.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y (+.f64 x z))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z)))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z)))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z))) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z))) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) y) (fma.f64 x x (.f64 z (+.f64 x z)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z))) (fma.f64 z z (.f64 x x)))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 x z))) (fma.f64 z z (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 z (+.f64 x z)))) y) #s(literal 1/4 binary64)) (/.f64 (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 x x (.f64 z (+.f64 x z)))) y) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x z)) y) #s(literal 1/4 binary64)) (/.f64 (/.f64 (/.f64 (.f64 z z) (+.f64 x z)) y) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) y) z)) (.f64 (.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 #s(literal 1/4 binary64) y) z))) (/.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 (.f64 #s(literal 1/4 binary64) y) (/.f64 (*.f64 #s(literal 1/4 binary64) y) z))))
(-.f64 (/.f64 (.f64 x (.f64 y #s(literal -1/4 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 y #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) y) (neg.f64 z)) (.f64 (.f64 #s(literal 1/4 binary64) y) (.f64 y #s(literal -1/4 binary64)))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x z) (-.f64 z x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x z))))
(.f64 (pow.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z z (.f64 x x)) (.f64 (-.f64 x z) (+.f64 x z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x x))))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) y)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/4 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal -1 binary64)))
(neg.f64 (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 1/4 binary64) (/.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/4 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 1/4 binary64))

simplify269.0ms (3.8%)

Memory

16.0MiB live, 323.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 782×	`lower-fma.f64`
5 782×	`lower-fma.f32`
3 264×	`lower-*.f64`
3 264×	`lower-*.f32`
1 744×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	459
1	157	459
2	464	339
3	1498	339
4	3260	339
5	5470	339
6	7229	339
7	7695	339
8	7776	339
9	7780	339
0	8331	339

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

eval81.0ms (1.2%)

Memory: 14.7MiB live, 127.5MiB allocated
Compiler: Compiled 13 117 to 1 376 computations (89.5% saved)

prune112.0ms (1.6%)

Memory

-22.9MiB live, 142.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	553	6	559

Accuracy

100.0%

Counts

559 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.0%	(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
✓	69.5%	(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
✓	65.5%	(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
✓	34.3%	(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
✓	35.9%	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	34.6%	#s(literal 2 binary64)

Compiler

Compiled 94 to 60 computations (36.2% saved)

regimes36.0ms (0.5%)

Memory

-18.8MiB live, 22.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes14.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))

Outputs
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/.f64 (-.f64 x z) (*.f64 #s(literal 1/4 binary64) y))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
89.8%	3	`x`
84.6%	3	`y`
90.2%	3	`z`
99.0%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
99.0%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes8.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))

Outputs

(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))

(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))

(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))

Calls

3 calls:

3.0ms

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
90.2%	3	`z`
72.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
72.1%	2	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes19.0ms (0.3%)

Memory

-25.6MiB live, 13.1MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))

Outputs
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))

Calls

3 calls:

14.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
69.5%	1	`y`
83.1%	3	`x`
69.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

3 → 4

Calls

Call 1

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

Outputs
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))
#s(literal 2 binary64)
(/.f64 x (*.f64 #s(literal 1/4 binary64) y))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
59.7%	4	`z`
57.1%	4	`y`
70.7%	4	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
70.7%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
59.2%	4	`x`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))

Outputs
(*.f64 #s(literal -4 binary64) (/.f64 z y))
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))

Calls

2 calls:

2.0ms

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

1.0ms

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

Results

Accuracy	Segments	Branch
67.3%	3	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
67.3%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes9.0ms (0.1%)

Memory

-10.5MiB live, 26.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

5 calls:

3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
1.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
34.6%	1	`y`
34.6%	1	`x`
34.6%	1	`z`
34.6%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
34.6%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	27276762235.789474	2638482526867.168
0.0ms	-9.66662901126835e+18	-166543.49157440037

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch41.0ms (0.6%)

Memory

-5.9MiB live, 71.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	8.977731792324568e-19	8.731440579651008e-13
18.0ms	-4.2691374335199575e+64	-9.299270361383034e+46

Samples

18.0ms

304×

valid

Compiler

Compiled 399 to 322 computations (19.3% saved)

Precisions

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

ival-mult: 4.0ms (37.6% of total)

ival-add: 3.0ms (28.2% of total)

ival-div: 2.0ms (18.8% of total)

ival-sub: 1.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Memory

7.7MiB live, 43.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.7296227890514724e+170	1.6311745955516165e+171
12.0ms	-7.415489038546792e+179	-4.4833096936080387e+176

Samples

17.0ms

208×

valid

Compiler

Compiled 266 to 213 computations (19.9% saved)

Precisions

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

ival-mult: 3.0ms (41.1% of total)

ival-add: 2.0ms (27.4% of total)

ival-sub: 1.0ms (13.7% of total)

ival-div: 1.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	27276762235.789474	2638482526867.168
0.0ms	-61.03017691733902	0.9926834866407773
0.0ms	-1.521497366066759e+97	-6.436440608675212e+95

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6924156109827824	27276762235.789474
0.0ms	-61.03017691733902	0.9926834866407773

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify14.0ms (0.2%)

Memory

-15.9MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	209
1	63	209
2	68	209
3	70	209
4	71	209

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5000000000000000000 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 50000000000 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 z #s(literal -279999999999999987937944528239330750560831799296 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (if (<=.f64 z #s(literal 940834429856889/2475880078570760549798248448 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -450000000000000003352041225933443951148897722362419242561839143590687933610517272118673944368258176283809521171253090827676445224764397932390756158502307476693442503812197646336 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 x #s(literal 700000000000000010685530086576119866849971393876078104815489713133062308014858689155481830629666814427605955429128532715512963861977085083749622904555532304589077776171008 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000000000000000735758738477112498397576062152177456799245857901351759143802190202050679656153088 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 50000000000 binary64)) #s(literal 2 binary64) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5000000000000000000 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 50000000000 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -5000000000000000000 binary64)) (/.f64 (-.f64 x z) (.f64 y #s(literal 1/4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 50000000000 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (.f64 y #s(literal 1/4 binary64)))))
(if (<=.f64 z #s(literal -279999999999999987937944528239330750560831799296 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (if (<=.f64 z #s(literal 940834429856889/2475880078570760549798248448 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -450000000000000003352041225933443951148897722362419242561839143590687933610517272118673944368258176283809521171253090827676445224764397932390756158502307476693442503812197646336 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 x #s(literal 700000000000000010685530086576119866849971393876078104815489713133062308014858689155481830629666814427605955429128532715512963861977085083749622904555532304589077776171008 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y))))
(if (<=.f64 x #s(literal -450000000000000003352041225933443951148897722362419242561839143590687933610517272118673944368258176283809521171253090827676445224764397932390756158502307476693442503812197646336 binary64)) (/.f64 x (.f64 y #s(literal 1/4 binary64))) (if (<=.f64 x #s(literal 700000000000000010685530086576119866849971393876078104815489713133062308014858689155481830629666814427605955429128532715512963861977085083749622904555532304589077776171008 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 x (.f64 y #s(literal 1/4 binary64)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000000000000000735758738477112498397576062152177456799245857901351759143802190202050679656153088 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 x (.f64 #s(literal 1/4 binary64) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 50000000000 binary64)) #s(literal 2 binary64) (/.f64 x (*.f64 #s(literal 1/4 binary64) y)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10000000000000000735758738477112498397576062152177456799245857901351759143802190202050679656153088 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (/.f64 x (.f64 y #s(literal 1/4 binary64))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 50000000000 binary64)) #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50 binary64)) (.f64 #s(literal -4 binary64) (/.f64 z y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)

soundness614.0ms (8.7%)

Memory

-24.7MiB live, 332.8MiB allocated

Rules

16 484×	`lower-fma.f64`
16 484×	`lower-fma.f32`
5 278×	`lower-*.f64`
5 278×	`lower-*.f32`
2 388×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1280
1	360	1259
2	961	1020
3	3605	976
0	8398	865

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 278 to 105 computations (62.2% saved)

preprocess70.0ms (1%)

Memory: 2.9MiB live, 124.7MiB allocated
Compiler: Compiled 456 to 124 computations (72.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze39.0ms (0.6%)

sample2.3s (33.2%)

preprocess528.0ms (7.5%)

explain185.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify222.0ms (3.1%)

localize35.0ms (0.5%)

series12.0ms (0.2%)

rewrite417.0ms (5.9%)

simplify472.0ms (6.7%)

eval82.0ms (1.2%)

prune63.0ms (0.9%)

simplify7.0ms (0.1%)

localize44.0ms (0.6%)

series9.0ms (0.1%)

rewrite265.0ms (3.8%)

simplify286.0ms (4%)

eval88.0ms (1.2%)

prune66.0ms (0.9%)

simplify72.0ms (1%)

localize20.0ms (0.3%)

series7.0ms (0.1%)

rewrite465.0ms (6.6%)

simplify269.0ms (3.8%)

eval81.0ms (1.2%)

prune112.0ms (1.6%)

regimes36.0ms (0.5%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes19.0ms (0.3%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch41.0ms (0.6%)

bsearch27.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

soundness614.0ms (8.7%)

preprocess70.0ms (1%)

end0.0ms (0%)

Profiling