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

analyze51.0ms (0.7%)

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 17 to 13 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (46.2% of total)

ival-add: 6.0ms (27.7% of total)

ival-sub: 3.0ms (13.9% of total)

ival-div: 2.0ms (9.2% of total)

const: 1.0ms (4.6% of total)

backward-pass: 0.0ms (0% of total)

sample1.0s (13.1%)

Results

695.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 429.0ms

ival-mult: 204.0ms (47.6% of total)

ival-add: 90.0ms (21% of total)

ival-div: 66.0ms (15.4% of total)

ival-sub: 50.0ms (11.7% of total)

const: 17.0ms (4% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess523.0ms (6.8%)

Algorithm

2×	egg-herbie

Rules

7292×	`accelerator-lowering-fma.f32`
7292×	`accelerator-lowering-fma.f64`
2920×	`/-lowering-/.f32`
2920×	`/-lowering-/.f64`
2674×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	143
1	134	130
2	397	130
3	1129	112
4	3350	94
5	7481	94
0	12	13
1	24	13
2	52	13
3	102	13
4	203	11
5	469	9
6	1465	9
7	4599	9
0	8090	8

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

explain192.0ms (2.5%)

FPErrors

Click to see full error table

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

Results

116.0ms

512×

valid

Compiler

Compiled 132 to 88 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 41.0ms (50.8% of total)

ival-add: 15.0ms (18.6% of total)

ival-sub: 12.0ms (14.9% of total)

ival-div: 9.0ms (11.2% of total)

const: 3.0ms (3.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 (-.f64 x z) (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))

Compiler

Compiled 12 to 9 computations (25% saved)

localize156.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 (-.f64 x z) (/.f64 y #s(literal 4 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 x z) (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(+.f64 (/.f64 (-.f64 x z) (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x z) (/.f64 y #s(literal 4 binary64)))

Rules

1216×	`accelerator-lowering-fma.f32`
1216×	`accelerator-lowering-fma.f64`
576×	`-lowering-.f32`
576×	`-lowering-.f64`
448×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	17	27
2	36	27
3	75	27
4	156	27
5	279	27
6	458	27
7	751	27
8	1353	27
9	2417	27
10	2644	27
11	2691	27
12	2719	27
13	2719	27
0	2719	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

29.0ms

256×

valid

Compiler

Compiled 31 to 17 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 12.0ms (76.8% of total)

ival-sub: 2.0ms (12.8% of total)

ival-add: 1.0ms (6.4% of total)

const: 1.0ms (6.4% of total)

backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts

4 → 108

Calls

Call 1

Inputs
#<alt (/ (- x z) (/ y 4))>
#<alt (+ (/ (- x z) (/ y 4)) 2)>
#<alt (- x z)>
#<alt (/ y 4)>

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

27 calls:

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

rewrite750.0ms (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5018×	`accelerator-lowering-fma.f32`
5018×	`accelerator-lowering-fma.f64`
4518×	`-lowering-.f32`
4518×	`-lowering-.f64`
3852×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	60	22
2	503	22
3	6933	22
0	8896	21

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 482

Calls

Call 1

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

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

simplify616.0ms (8%)

Algorithm

1×	egg-herbie

Rules

8190×	`accelerator-lowering-fma.f32`
8190×	`accelerator-lowering-fma.f64`
3012×	`-lowering-.f32`
3012×	`-lowering-.f64`
1238×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	851
1	236	851
2	679	631
3	2151	631
4	4723	631
5	6881	631
0	8146	602

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 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 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) y) (-.f64 x z))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 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) y) (-.f64 x z))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 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) y) (-.f64 x z))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* -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) y) (-.f64 x z))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* -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) y) (-.f64 x z))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(+ 2 (* -4 (/ z y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+ 2 (* 4 (/ x y)))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (-.f64 z x))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (-.f64 z x))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (-.f64 z x))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+ 2 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+ 2 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+ 2 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+ 2 (* 4 (/ (- x z) y)))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) 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))

eval125.0ms (1.6%)

Compiler: Compiled 12984 to 5350 computations (58.8% saved)

prune142.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	584	6	590
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	584	7	591

Accuracy

100.0%

Counts

591 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.8%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
▶	32.7%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	100.0%	(+.f64 (/.f64 (-.f64 x z) (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))
▶	71.5%	(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))
	66.9%	(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))
▶	64.3%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
▶	36.1%	#s(literal 2 binary64)

Compiler

Compiled 112 to 87 computations (22.3% saved)

localize189.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	cost-diff	0	(*.f64 #s(literal -4 binary64) z)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) x)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	cost-diff	0	(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) x)
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) z)
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) x)

Rules

864×	`accelerator-lowering-fma.f32`
864×	`accelerator-lowering-fma.f64`
512×	`-lowering-.f32`
512×	`-lowering-.f64`
234×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	26	42
2	50	42
3	80	42
4	128	42
5	190	42
6	318	42
7	532	42
8	867	42
9	1553	42
10	1784	42
11	1839	42
12	1862	42
13	1872	42
14	1876	42
15	1876	42
0	1876	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

63.0ms

256×

valid

Compiler

Compiled 63 to 36 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 18.0ms (48.7% of total)

ival-div: 14.0ms (37.9% of total)

const: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

ival-add: 1.0ms (2.7% of total)

backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts

8 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+ (/ (* 4 x) y) 2)
0.0ms	y	@	0	(/ (* -4 z) y)
0.0ms	y	@	inf	(/ (* -4 z) y)
0.0ms	x	@	inf	(+ (/ (* 4 x) y) 2)
0.0ms	x	@	inf	(/ (* 4 x) y)

rewrite543.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

4196×	`-lowering-.f32`
4196×	`-lowering-.f64`
3736×	`accelerator-lowering-fma.f32`
3736×	`accelerator-lowering-fma.f64`
3220×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	70	36
2	530	36
3	7331	36
0	8070	35

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 507

Calls

Call 1

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

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -4 binary64)))
(neg.f64 (*.f64 x #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) x)
(.f64 #s(literal 4 binary64) (.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 x #s(literal 4 binary64))
(.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 4 binary64))
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 y x)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y x)))
(+.f64 (/.f64 (.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (*.f64 y y))) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 y x)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 y x)) #s(literal -2 binary64)))))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 x #s(literal -4 binary64)) y))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (/.f64 (.f64 x x) (*.f64 y y))) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 y x)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 y x)) #s(literal -2 binary64))))
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(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (.f64 x x) (*.f64 z z))) (-.f64 x z))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (+.f64 x z)) (.f64 (.f64 z z) (.f64 (+.f64 x z) (+.f64 x z)))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (+.f64 x z)) (-.f64 (.f64 z (+.f64 x z)) (.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (-.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (-.f64 (.f64 x x) (.f64 z (+.f64 x z))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (+.f64 (.f64 x x) (*.f64 z (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) y))
(neg.f64 (/.f64 #s(literal -4 binary64) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal 4 binary64) y)
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal -4 binary64)))
(pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64))
(*.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1/2 binary64)))

simplify336.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

5174×	`accelerator-lowering-fma.f32`
5174×	`accelerator-lowering-fma.f64`
3354×	`-lowering-.f32`
3354×	`-lowering-.f64`
1526×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	801
1	180	801
2	501	801
3	1599	801
4	3751	801
5	6038	801
6	7934	801
0	8125	783

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

Outputs
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 2 (* 4 (/ x y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 2 (* 4 (/ x y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (+.f64 (.f64 #s(literal 4 binary64) x) (.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (+.f64 (.f64 #s(literal 4 binary64) x) (.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (+.f64 (.f64 #s(literal 4 binary64) x) (.f64 #s(literal 2 binary64) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 2 (* 4 (/ x y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 2 (* 4 (/ x y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 2 (* 4 (/ x y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+ 2 (* 4 (/ x y)))
(+.f64 #s(literal 2 binary64) (/.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)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -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 z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) 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 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) 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 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) 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 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) 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 x z)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) 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 x z)) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 z)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) 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)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)

eval188.0ms (2.4%)

Compiler: Compiled 11444 to 4832 computations (57.8% saved)

prune116.0ms (1.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	764	4	768
Fresh	0	1	1
Picked	1	4	5
Done	1	0	1
Total	766	9	775

Accuracy

100.0%

Counts

775 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.5%	(/.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64))
✓	36.8%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	32.7%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
▶	36.8%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	71.5%	(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))
▶	66.9%	(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))
▶	36.8%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
▶	32.7%	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
✓	36.1%	#s(literal 2 binary64)

Compiler

Compiled 118 to 90 computations (23.7% saved)

localize327.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(/.f64 (-.f64 x z) y)
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
✓	cost-diff	0	(*.f64 #s(literal -4 binary64) z)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	cost-diff	0	(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x z) y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.1%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) z)
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))

Rules

1040×	`accelerator-lowering-fma.f32`
1040×	`accelerator-lowering-fma.f64`
688×	`-lowering-.f32`
688×	`-lowering-.f64`
640×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
1	33	61
2	53	61
3	75	61
4	124	61
5	211	61
6	322	61
7	560	61
8	1104	61
9	2212	61
10	2472	61
11	2720	61
12	3050	61
13	3239	61
14	3295	61
15	3299	61
16	3299	61
0	3299	60

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

154.0ms

256×

valid

Compiler

Compiled 75 to 37 computations (50.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-div: 63.0ms (61% of total)

ival-mult: 36.0ms (34.9% of total)

const: 2.0ms (1.9% of total)

ival-sub: 1.0ms (1% of total)

ival-add: 1.0ms (1% of total)

backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts

12 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(+ (/ (* -4 z) y) 2)
0.0ms	y	@	-inf	(/ y x)
0.0ms	y	@	0	(/ y x)
0.0ms	x	@	-inf	(/ y x)
0.0ms	x	@	0	(/ y x)

rewrite643.0ms (8.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5166×	`accelerator-lowering-fma.f32`
5166×	`accelerator-lowering-fma.f64`
4642×	`-lowering-.f32`
4642×	`-lowering-.f64`
3438×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	54
1	101	54
2	701	54
3	7028	54
0	8018	53

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 796

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z)))
(+.f64 (/.f64 (.f64 (/.f64 (/.f64 z y) (/.f64 y z)) #s(literal 16 binary64)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 z (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(-.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))
(-.f64 (/.f64 (.f64 (/.f64 (/.f64 z y) (/.f64 y z)) #s(literal 16 binary64)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 z (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 z (.f64 y #s(literal 1/4 binary64))))) (/.f64 (.f64 (/.f64 (/.f64 z y) (/.f64 y z)) #s(literal 16 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 z (*.f64 y #s(literal 1/4 binary64))))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (/.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 y z)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(fma.f64 z (/.f64 (/.f64 (.f64 (/.f64 z y) #s(literal 16 binary64)) y) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 z (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) y) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 z (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 z (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (/.f64 z (/.f64 y (.f64 #s(literal -4 binary64) z))) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 z (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) z) #s(literal 2 binary64))
(fma.f64 (*.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
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(fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (+.f64 z x)) (.f64 z (+.f64 z x))))) (-.f64 (.f64 x x) (.f64 z (+.f64 z x))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 z z))) (-.f64 x z) (neg.f64 (/.f64 (.f64 z z) (+.f64 z x))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (+.f64 (.f64 x x) (.f64 z (-.f64 z x))) (neg.f64 (/.f64 (.f64 z z) (+.f64 z x))))
(neg.f64 (-.f64 z x))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 x x) (.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (neg.f64 (*.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 z x))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (neg.f64 (neg.f64 (+.f64 z x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (neg.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 z) (-.f64 (neg.f64 z) x)))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 (+.f64 z x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 z x))) (+.f64 (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 z x))) (+.f64 (.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 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (+.f64 z x) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z z))))))
(/.f64 (.f64 (+.f64 (.f64 x x) (.f64 z z)) (-.f64 (.f64 x x) (.f64 z z))) (.f64 (+.f64 z x) (+.f64 (.f64 x x) (.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 z x))) (.f64 z (.f64 z z)))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 z x))) (+.f64 (.f64 x x) (*.f64 z (+.f64 z x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 z x)) (.f64 (+.f64 z x) (.f64 z z))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x))) (+.f64 z x))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 z x))) (neg.f64 (neg.f64 (+.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (*.f64 z (+.f64 z x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x))) (+.f64 (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x))) (.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (-.f64 (neg.f64 z) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x))) (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 z (+.f64 z x)))))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) #s(literal 1 binary64)) (neg.f64 (+.f64 z x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))) (+.f64 (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z z)))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x x) (.f64 z z)) (-.f64 (.f64 x x) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (+.f64 (.f64 x x) (.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64))
(*.f64 (-.f64 x z) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 z (+.f64 z x)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 z x))) (/.f64 (-.f64 x z) (+.f64 (.f64 x x) (*.f64 z (+.f64 z x)))))
(.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 z x))) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 z x))))))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(.f64 (-.f64 (.f64 x x) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) (+.f64 z x)))
(.f64 (+.f64 z x) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(*.f64 #s(literal -1 binary64) (-.f64 z x))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 z (+.f64 z x))))))
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 z x)))) (-.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 (.f64 x x) (*.f64 z z)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (.f64 x x) (*.f64 z z))) (-.f64 x z))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (+.f64 z x)) (.f64 (.f64 z (+.f64 z x)) (.f64 z (+.f64 z x)))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (+.f64 z x)) (-.f64 (.f64 z (+.f64 z x)) (.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 z (+.f64 z x)) (.f64 z (+.f64 z x))))) (-.f64 (.f64 x x) (*.f64 z (+.f64 z x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (+.f64 (.f64 x x) (*.f64 z (-.f64 z x))))

simplify594.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

6150×	`accelerator-lowering-fma.f32`
6150×	`accelerator-lowering-fma.f64`
3548×	`-lowering-.f32`
3548×	`-lowering-.f64`
1616×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1494
1	237	1404
2	714	1284
3	2157	1284
4	4005	1284
5	5814	1284
6	6610	1284
7	6970	1284
8	7073	1284
9	7362	1284
0	8155	1266

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
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eval210.0ms (2.7%)

Compiler: Compiled 15030 to 6380 computations (57.6% saved)

prune140.0ms (1.8%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	1072	0	1072
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	1072	9	1081

Accuracy

100.0%

Counts

1081 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.5%	(/.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64))
✓	36.8%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	32.7%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	36.8%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	71.5%	(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))
✓	66.9%	(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))
✓	36.8%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	32.7%	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
✓	36.1%	#s(literal 2 binary64)

Compiler

Compiled 153 to 107 computations (30.1% saved)

regimes21.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

Calls

5 calls:

5.0ms	x
5.0ms	z
4.0ms	y
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)

regimes121.0ms (1.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

101.0ms	y
11.0ms	z
8.0ms	x

Results

Accuracy	Segments	Branch
88.9%	3	`x`
89.2%	4	`y`
88.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
88.8%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes84.0ms (1.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

62.0ms	x
12.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
79.0%	3	`y`
71.6%	7	`z`
73.6%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes43.0ms (0.6%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
14.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
60.9%	7	`z`
64.9%	7	`x`
63.9%	10	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
64.8%	7	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
64.8%	7	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
53.7%	3	`z`
45.1%	5	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

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

3 calls:

0.0ms	y
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
36.1%	1	`x`
36.1%	1	`y`
36.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.308642918943548e+50	1.179507528530113e+51
20.0ms	-1.0597277755450185e+106	-2.276747778092934e+94

Results

20.0ms

240×

valid

Compiler

Compiled 352 to 272 computations (22.7% saved)

Precisions

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

ival-mult: 6.0ms (47.8% of total)

ival-div: 2.0ms (15.9% of total)

ival-add: 2.0ms (15.9% of total)

ival-sub: 1.0ms (8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.308642918943548e+50	1.179507528530113e+51
20.0ms	-1.0597277755450185e+106	-2.276747778092934e+94

Results

20.0ms

240×

valid

Compiler

Compiled 352 to 272 computations (22.7% saved)

Precisions

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

ival-mult: 6.0ms (47.9% of total)

ival-div: 2.0ms (16% of total)

ival-add: 2.0ms (16% of total)

ival-sub: 1.0ms (8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.1212624283029634e+121	7.347922530383653e+128
14.0ms	-2.5562779313098407e+107	-2.7825585118406965e+104

Results

24.0ms

272×

valid

Compiler

Compiled 294 to 238 computations (19% saved)

Precisions

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

ival-add: 4.0ms (34.1% of total)

ival-mult: 4.0ms (34.1% of total)

ival-div: 2.0ms (17% of total)

ival-sub: 1.0ms (8.5% of total)

const: 1.0ms (8.5% of total)

backward-pass: 0.0ms (0% of total)

bsearch96.0ms (1.2%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.308642918943548e+50	1.179507528530113e+51
17.0ms	3.4640150979776616e-204	7.047519647720157e-197
12.0ms	4.908875830606984e-235	1.709750795254605e-233
12.0ms	5.960048308903486e-253	1.0755657140820476e-250
17.0ms	-7.375137104894007e-298	2.1443233689354058e-302
18.0ms	-1.0597277755450185e+106	-2.276747778092934e+94

Results

58.0ms

768×

valid

Compiler

Compiled 694 to 593 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 11.0ms (35.9% of total)

ival-add: 8.0ms (26.1% of total)

ival-div: 6.0ms (19.6% of total)

ival-sub: 4.0ms (13.1% of total)

const: 1.0ms (3.3% of total)

backward-pass: 0.0ms (0% of total)

bsearch104.0ms (1.3%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.308642918943548e+50	1.179507528530113e+51
19.0ms	3.4640150979776616e-204	7.047519647720157e-197
18.0ms	4.908875830606984e-235	1.709750795254605e-233
12.0ms	5.960048308903486e-253	1.0755657140820476e-250
19.0ms	-7.375137104894007e-298	2.1443233689354058e-302
19.0ms	-1.0597277755450185e+106	-2.276747778092934e+94

Results

63.0ms

768×

valid

Compiler

Compiled 694 to 593 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 15.0ms (38.9% of total)

ival-add: 12.0ms (31.1% of total)

ival-div: 6.0ms (15.6% of total)

ival-sub: 4.0ms (10.4% of total)

const: 1.0ms (2.6% of total)

backward-pass: 0.0ms (0% of total)

bsearch93.0ms (1.2%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.308642918943548e+50	1.179507528530113e+51
15.0ms	3.4640150979776616e-204	7.047519647720157e-197
12.0ms	4.908875830606984e-235	1.709750795254605e-233
14.0ms	5.960048308903486e-253	1.0755657140820476e-250
18.0ms	-7.375137104894007e-298	2.1443233689354058e-302
17.0ms	-1.0597277755450185e+106	-2.276747778092934e+94

Results

60.0ms

768×

valid

Compiler

Compiled 694 to 593 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 14.0ms (41.3% of total)

ival-add: 8.0ms (23.6% of total)

ival-div: 6.0ms (17.7% of total)

ival-sub: 5.0ms (14.7% of total)

const: 2.0ms (5.9% of total)

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	9.14220052899879e+73	6.113127921744177e+95
7.0ms	-2.0565380130331835e+70	-1.220970616127656e+70

Results

23.0ms

240×

valid

Compiler

Compiled 232 to 197 computations (15.1% saved)

Precisions

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

ival-add: 4.0ms (35.2% of total)

ival-mult: 4.0ms (35.2% of total)

ival-div: 2.0ms (17.6% of total)

ival-sub: 1.0ms (8.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 248 to 166 computations (33.1% saved)

preprocess73.0ms (0.9%)

Compiler: Compiled 528 to 356 computations (32.6% saved)

analyze51.0ms (0.7%)

sample1.0s (13.1%)

preprocess523.0ms (6.8%)

explain192.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize156.0ms (2%)

series11.0ms (0.1%)

rewrite750.0ms (9.7%)

simplify616.0ms (8%)

eval125.0ms (1.6%)

prune142.0ms (1.8%)

localize189.0ms (2.4%)

series18.0ms (0.2%)

rewrite543.0ms (7%)

simplify336.0ms (4.3%)

eval188.0ms (2.4%)

prune116.0ms (1.5%)

localize327.0ms (4.2%)

series17.0ms (0.2%)

rewrite643.0ms (8.3%)

simplify594.0ms (7.7%)

eval210.0ms (2.7%)

prune140.0ms (1.8%)

regimes21.0ms (0.3%)

regimes121.0ms (1.6%)

regimes30.0ms (0.4%)

regimes84.0ms (1.1%)

regimes43.0ms (0.6%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

bsearch35.0ms (0.4%)

bsearch31.0ms (0.4%)

bsearch36.0ms (0.5%)

bsearch96.0ms (1.2%)

bsearch104.0ms (1.3%)

bsearch93.0ms (1.2%)

bsearch33.0ms (0.4%)

soundness3.0ms (0%)

preprocess73.0ms (0.9%)

end0.0ms (0%)

Profiling