Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

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

sample1.2s (15.7%)

Results

989.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 471.0ms

ival-sub: 192.0ms (40.7% of total)

ival-mult: 137.0ms (29.1% of total)

ival-div: 122.0ms (25.9% of total)

const: 17.0ms (3.6% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess132.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1890×	`fnmadd-define`
1322×	`fma-define`
1158×	`fmsub-define`
1152×	`fnmsub-define`
1104×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	96
1	76	83
2	171	80
3	404	80
4	1119	80
5	2503	80
6	4710	80
7	5306	80
8	5330	80
9	5330	80
0	9	9
1	14	8
2	29	8
3	43	8
4	75	8
5	136	8
6	275	8
7	622	8
8	1068	8
9	1577	8
10	1892	8
11	1951	8
12	1959	8
0	1959	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (/ (* x y) 2) (/ z 8))

Outputs
(- (/ (* x y) 2) (/ z 8))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Call 2

Inputs
(- (/ (* x y) 2) (/ z 8))
(- (/ (* (neg x) y) 2) (/ z 8))
(- (/ (* x (neg y)) 2) (/ z 8))
(- (/ (* x y) 2) (/ (neg z) 8))
(neg (- (/ (* (neg x) y) 2) (/ z 8)))
(neg (- (/ (* x (neg y)) 2) (/ z 8)))
(neg (- (/ (* x y) 2) (/ (neg z) 8)))
(- (/ (* y x) 2) (/ z 8))
(- (/ (* z y) 2) (/ x 8))
(- (/ (* x z) 2) (/ y 8))

Outputs
(- (/ (* x y) 2) (/ z 8))
(fnmsub x (* y -1/2) (* z 1/8))
(- (/ (* (neg x) y) 2) (/ z 8))
(fnmsub x (* y 1/2) (* z 1/8))
(- (/ (* x (neg y)) 2) (/ z 8))
(fnmsub x (* y 1/2) (* z 1/8))
(- (/ (* x y) 2) (/ (neg z) 8))
(fnmsub x (* y -1/2) (* z -1/8))
(neg (- (/ (* (neg x) y) 2) (/ z 8)))
(fnmsub x (* y -1/2) (* z -1/8))
(neg (- (/ (* x (neg y)) 2) (/ z 8)))
(fnmsub x (* y -1/2) (* z -1/8))
(neg (- (/ (* x y) 2) (/ (neg z) 8)))
(fnmsub x (* y 1/2) (* z 1/8))
(- (/ (* y x) 2) (/ z 8))
(fnmsub x (* y -1/2) (* z 1/8))
(- (/ (* z y) 2) (/ x 8))
(fnmsub x 1/8 (* y (* z -1/2)))
(- (/ (* x z) 2) (/ y 8))
(fnmsub y 1/8 (* z (* x -1/2)))

Symmetry

(sort x y)

explain107.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`x`
0	-	-	`(/.f64 z #s(literal 8 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
0	-	-	`(*.f64 x y)`
0	-	-	`z`
0	-	-	`#s(literal 8 binary64)`

Results

79.0ms

512×

valid

Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions

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

ival-div: 7.0ms (43.6% of total)

ival-mult: 5.0ms (31.1% of total)

ival-sub: 3.0ms (18.7% of total)

const: 1.0ms (6.2% 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
▶	99.7%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	cost-diff	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Rules

676×	`fnmadd-define`
424×	`fma-define`
416×	`fmsub-define`
400×	`fnmsub-define`
392×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	24
2	29	24
3	43	24
4	75	24
5	136	24
6	275	24
7	622	24
8	1068	24
9	1577	24
10	1892	24
11	1951	24
12	1959	24
0	1959	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ (* x y) 2) (/ z 8))
(/ (* x y) 2)
(* x y)
x
y
2
(/ z 8)
z
8

Outputs
(- (/ (* x y) 2) (/ z 8))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(/ (* x y) 2)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(* x y)
(*.f64 x y)
x
y
2
#s(literal 2 binary64)
(/ z 8)
(/.f64 z #s(literal 8 binary64))
z
8
#s(literal 8 binary64)

localize43.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	accuracy	99.7%	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Results

34.0ms

256×

valid

Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (49.9% of total)

ival-mult: 2.0ms (24.9% of total)

ival-sub: 1.0ms (12.5% of total)

const: 1.0ms (12.5% of total)

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

series15.0ms (0.2%)

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (- (/ (* x y) 2) (/ z 8))>
#<alt (/ (* x y) 2)>
#<alt (* x y)>
#<alt (/ z 8)>

Outputs
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(- (/ (* x y) 2) (/ z 8))
2.0ms	x	@	-inf	(- (/ (* x y) 2) (/ z 8))
1.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	y	@	inf	(- (/ (* x y) 2) (/ z 8))
1.0ms	x	@	0	(- (/ (* x y) 2) (/ z 8))

rewrite281.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4654×	`-lowering-.f32`
4654×	`-lowering-.f64`
3062×	`/-lowering-/.f32`
3062×	`/-lowering-/.f64`
1682×	`frac-add`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	52	19
2	515	19
0	9051	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 219

Calls

Call 1

Inputs
(- (/ (* x y) 2) (/ z 8))
(/ (* x y) 2)
(* x y)
(/ z 8)

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

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1994×	`fmsub-define`
1950×	`-lowering-.f32`
1950×	`-lowering-.f64`
1834×	`fmm-def`
1278×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	481
1	132	481
2	400	481
3	1073	481
4	2981	481
5	5790	481
0	8068	481

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))

eval33.0ms (0.4%)

Compiler: Compiled 5711 to 635 computations (88.9% saved)

prune48.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	310	5	315
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	311	5	316

Accuracy

100.0%

Counts

316 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
▶	93.2%	(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) z)))
▶	100.0%	(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
▶	48.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
▶	53.5%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 110 to 80 computations (27.3% saved)

simplify189.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) z))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) z)))
✓	cost-diff	0	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	0	(/.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (/.f64 y #s(literal 2 binary64)) x)
✓	cost-diff	0	(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
✓	cost-diff	0	(/.f64 z #s(literal -8 binary64))
✓	cost-diff	0	(/.f64 y #s(literal 2 binary64))
✓	cost-diff	6272	(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))

Rules

3766×	`-lowering-.f32`
3766×	`-lowering-.f64`
2986×	`/-lowering-/.f32`
2986×	`/-lowering-/.f64`
1540×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	97
1	55	97
2	136	97
3	376	97
4	1009	97
5	5922	97
0	8731	97

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ y 2) x) (/ z -8))
(/ y 2)
y
2
x
(/ z -8)
z
-8
(* -1/8 z)
-1/8
z
(* 1/2 (* x y))
1/2
(* x y)
x
y
(- (* (/ y 2) x) (/ z 8))
(* (/ y 2) x)
(/ y 2)
y
2
x
(/ z 8)
z
8
(/ (- (* (* x y) (/ -8 z)) -2) (* 2 (/ -8 z)))
(- (* (* x y) (/ -8 z)) -2)
(* (* x y) (/ -8 z))
(* x y)
x
y
(/ -8 z)
-8
z
-2
(* 2 (/ -8 z))
2

Outputs
(+ (* (/ y 2) x) (/ z -8))
(/.f64 (+.f64 z (.f64 y (.f64 x #s(literal -4 binary64)))) #s(literal -8 binary64))
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
x
(/ z -8)
(/.f64 z #s(literal -8 binary64))
z
-8
#s(literal -8 binary64)
(* -1/8 z)
(/.f64 z #s(literal -8 binary64))
-1/8
#s(literal -1/8 binary64)
z
(* 1/2 (* x y))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(* x y)
(*.f64 y x)
x
y
(- (* (/ y 2) x) (/ z 8))
(/.f64 (+.f64 z (.f64 y (.f64 x #s(literal -4 binary64)))) #s(literal -8 binary64))
(* (/ y 2) x)
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
x
(/ z 8)
(/.f64 z #s(literal 8 binary64))
z
8
#s(literal 8 binary64)
(/ (- (* (* x y) (/ -8 z)) -2) (* 2 (/ -8 z)))
(/.f64 (+.f64 z (.f64 y (.f64 x #s(literal -4 binary64)))) #s(literal -8 binary64))
(- (* (* x y) (/ -8 z)) -2)
(+.f64 #s(literal 2 binary64) (/.f64 (.f64 y (.f64 x #s(literal -8 binary64))) z))
(* (* x y) (/ -8 z))
(/.f64 (.f64 y (.f64 x #s(literal -8 binary64))) z)
(* x y)
(*.f64 y x)
x
y
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
-8
#s(literal -8 binary64)
z
-2
#s(literal -2 binary64)
(* 2 (/ -8 z))
(/.f64 #s(literal -16 binary64) z)
2
#s(literal 2 binary64)

localize117.0ms (1.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) z))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64))
✓	accuracy	93.4%	(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) z)))
✓	accuracy	91.6%	(.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z))
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(/.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (/.f64 y #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) z)
✓	accuracy	100.0%	(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
✓	accuracy	100.0%	(/.f64 z #s(literal -8 binary64))
✓	accuracy	100.0%	(/.f64 y #s(literal 2 binary64))

Results

87.0ms

256×

valid

Compiler

Compiled 112 to 24 computations (78.6% saved)

Precisions

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

ival-mult: 12.0ms (37.5% of total)

ival-div: 10.0ms (31.2% of total)

compiled-spec: 4.0ms (12.5% of total)

ival-sub: 3.0ms (9.4% of total)

ival-add: 2.0ms (6.2% of total)

const: 1.0ms (3.1% of total)

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

series30.0ms (0.4%)

Counts

13 → 312

Calls

Call 1

Inputs
#<alt (+ (* (/ y 2) x) (/ z -8))>
#<alt (/ y 2)>
#<alt (/ z -8)>
#<alt (* -1/8 z)>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (- (* (/ y 2) x) (/ z 8))>
#<alt (* (/ y 2) x)>
#<alt (/ z 8)>
#<alt (/ (- (* (* x y) (/ -8 z)) -2) (* 2 (/ -8 z)))>
#<alt (* 2 (/ -8 z))>
#<alt (- (* (* x y) (/ -8 z)) -2)>
#<alt (* (* x y) (/ -8 z))>

Outputs
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt (/ -16 z)>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (/ (+ (* -8 (* x y)) (* 2 z)) z)>
#<alt (/ (+ (* -8 (* x y)) (* 2 z)) z)>
#<alt (/ (+ (* -8 (* x y)) (* 2 z)) z)>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>

Calls

78 calls:

Time	Variable		Point	Expression
15.0ms	y	@	-inf	(/ y 2)
2.0ms	x	@	inf	(/ (- (* (* x y) (/ -8 z)) -2) (* 2 (/ -8 z)))
1.0ms	x	@	0	(/ (- (* (* x y) (/ -8 z)) -2) (* 2 (/ -8 z)))
1.0ms	z	@	0	(/ (- (* (* x y) (/ -8 z)) -2) (* 2 (/ -8 z)))
1.0ms	z	@	inf	(/ (- (* (* x y) (/ -8 z)) -2) (* 2 (/ -8 z)))

rewrite434.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4032×	`-lowering-.f32`
4032×	`-lowering-.f64`
3870×	`/-lowering-/.f32`
3870×	`/-lowering-/.f64`
2034×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	67
1	122	67
2	1025	67
0	8441	67

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1416

Calls

Call 1

Inputs
(+ (* (/ y 2) x) (/ z -8))
(/ y 2)
(/ z -8)
(* -1/8 z)
(* 1/2 (* x y))
(* x y)
(- (* (/ y 2) x) (/ z 8))
(* (/ y 2) x)
(/ z 8)
(/ (- (* (* x y) (/ -8 z)) -2) (* 2 (/ -8 z)))
(* 2 (/ -8 z))
(- (* (* x y) (/ -8 z)) -2)
(* (* x y) (/ -8 z))

Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64)))
(+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64))))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1/8 binary64) (/.f64 z #s(literal 8 binary64))))
(+.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (neg.f64 (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/16 binary64) z)) #s(literal -2 binary64) (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64))))
(+.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) (neg.f64 (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/16 binary64) z)) #s(literal -2 binary64) (.f64 (*.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64))))
(+.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64) (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) x (neg.f64 (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/16 binary64) z)) #s(literal -2 binary64) (.f64 (*.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64))))
(+.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) x (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) x (neg.f64 (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64) (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (/.f64 y #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/16 binary64) z)) #s(literal -2 binary64) (.f64 (*.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64))))
(+.f64 (fma.f64 x (/.f64 y #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 x (/.f64 y #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64) (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) (neg.f64 (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/16 binary64) z)) #s(literal -2 binary64) (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) (neg.f64 (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/16 binary64) z)) #s(literal -2 binary64) (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64))))
(+.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) (neg.f64 (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y (neg.f64 (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/16 binary64) z)) #s(literal -2 binary64) (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64))))
(+.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y (neg.f64 (.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) (neg.f64 (.f64 (.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/16 binary64) z)) #s(literal -2 binary64) (.f64 (*.f64 #s(literal -1/16 binary64) z) #s(literal -2 binary64))))
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(/.f64 (neg.f64 (.f64 y (.f64 x #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 z #s(literal -8 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y x) #s(literal 1 binary64))) (/.f64 z #s(literal 8 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y x) #s(literal 8 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (.f64 #s(literal 8 binary64) (.f64 y x))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (.f64 y (.f64 x #s(literal -8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 y x))) (/.f64 z #s(literal 8 binary64)))
(pow.f64 (/.f64 z (.f64 y (.f64 x #s(literal -8 binary64)))) #s(literal -1 binary64))
(.f64 y (.f64 x (/.f64 #s(literal -8 binary64) z)))
(.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z)))
(.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x)))
(.f64 #s(literal -8 binary64) (/.f64 (.f64 y x) z))
(.f64 (.f64 y x) (/.f64 #s(literal -8 binary64) z))
(.f64 #s(literal 8 binary64) (/.f64 (.f64 y x) (-.f64 #s(literal 0 binary64) z)))
(.f64 (/.f64 #s(literal -8 binary64) z) (.f64 y x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (/.f64 z #s(literal -8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) #s(literal -1/8 binary64)))
(.f64 (.f64 y (/.f64 #s(literal -8 binary64) z)) x)
(.f64 (.f64 y (*.f64 x #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) z))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y x) (/.f64 z #s(literal 8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (.f64 y x) #s(literal 1/8 binary64)))
(.f64 (.f64 (/.f64 #s(literal -8 binary64) z) x) y)
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (/.f64 z #s(literal -8 binary64))))
(.f64 (/.f64 x #s(literal 1 binary64)) (.f64 y (/.f64 #s(literal -8 binary64) z)))
(.f64 (/.f64 (.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -8 binary64) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (/.f64 z #s(literal 8 binary64))))
(*.f64 (/.f64 y z) (/.f64 x #s(literal -1/8 binary64)))
(*.f64 (/.f64 y #s(literal -1/8 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (/.f64 x #s(literal 1/8 binary64)))
(*.f64 (/.f64 y #s(literal 1/8 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(.f64 (/.f64 (.f64 y x) z) #s(literal -8 binary64))
(*.f64 (/.f64 x #s(literal -1/8 binary64)) (/.f64 y z))
(*.f64 (/.f64 x z) (/.f64 y #s(literal -1/8 binary64)))
(*.f64 (/.f64 x #s(literal 1/8 binary64)) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 y #s(literal 1/8 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (/.f64 z #s(literal 8 binary64))))
(.f64 (/.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 8 binary64) z))
(.f64 (/.f64 (.f64 y x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal 0 binary64) z)) #s(literal 8 binary64))
(.f64 (/.f64 (.f64 y x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))

simplify256.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2556×	`-lowering-.f32`
2556×	`-lowering-.f64`
1278×	`fmsub-define`
1066×	`fmm-def`
964×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	1788
1	232	1764
2	648	1764
3	1695	1764
4	3934	1764
5	7285	1764
0	8324	1764

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(/ -16 z)
(/ -16 z)
(/ -16 z)
(/ -16 z)
(/ -16 z)
(/ -16 z)
(/ -16 z)
(/ -16 z)
(/ -16 z)
(/ -16 z)
(/ -16 z)
(/ -16 z)
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(* -8 (/ (* x y) z))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(* -8 (/ (* x y) z))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(* -8 (/ (* x y) z))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(* -8 (/ (* x y) z))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(* -8 (/ (* x y) z))
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
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(/.f64 (+.f64 (.f64 x (.f64 y #s(literal -8 binary64))) (*.f64 z #s(literal 2 binary64))) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/.f64 (+.f64 (.f64 x (.f64 y #s(literal -8 binary64))) (*.f64 z #s(literal 2 binary64))) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/.f64 (+.f64 (.f64 x (.f64 y #s(literal -8 binary64))) (*.f64 z #s(literal 2 binary64))) z)
2
#s(literal 2 binary64)
(+ 2 (* -8 (/ (* x y) z)))
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -8 (/ (* x y) z)))
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64)))
(+ 2 (* -8 (/ (* x y) z)))
(+.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64)))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))
(* -8 (/ (* x y) z))
(.f64 (/.f64 (.f64 x y) z) #s(literal -8 binary64))

eval319.0ms (4.1%)

Compiler: Compiled 34676 to 1837 computations (94.7% saved)

prune383.0ms (5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1794	4	1798
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1796	7	1803

Accuracy

100.0%

Counts

1803 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
▶	93.2%	(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal -16 binary64) z))
▶	87.0%	(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 8 binary64)))
▶	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
▶	48.3%	(*.f64 (/.f64 y #s(literal 2 binary64)) x)
✓	53.5%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 79 to 58 computations (26.6% saved)

simplify254.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal -16 binary64) z))
✓	cost-diff	0	(*.f64 x #s(literal 8 binary64))
✓	cost-diff	0	(-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 8 binary64))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 8 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -8 binary64) z)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	cost-diff	0	(/.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (/.f64 y #s(literal 2 binary64)) x)

Rules

3886×	`-lowering-.f32`
3886×	`-lowering-.f64`
3556×	`/-lowering-/.f32`
3556×	`/-lowering-/.f64`
1120×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	101
1	68	101
2	183	93
3	520	93
4	1623	93
5	6082	93
0	8695	93

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ y 2) x)
(/ y 2)
y
2
x
(/ 1 (/ -8 z))
1
(/ -8 z)
-8
z
(/ (- (* x 8) (* (/ 2 y) z)) (* (/ 2 y) 8))
(- (* x 8) (* (/ 2 y) z))
(* x 8)
x
8
(* (/ 2 y) z)
(/ 2 y)
2
y
z
(* (/ 2 y) 8)
(/ (- (* (* x y) (/ -8 z)) -2) (/ -16 z))
(- (* (* x y) (/ -8 z)) -2)
(* (* x y) (/ -8 z))
(* x y)
x
y
(/ -8 z)
-8
z
-2
(/ -16 z)
-16

Outputs
(* (/ y 2) x)
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
x
(/ 1 (/ -8 z))
(/.f64 z #s(literal -8 binary64))
1
#s(literal 1 binary64)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
-8
#s(literal -8 binary64)
z
(/ (- (* x 8) (* (/ 2 y) z)) (* (/ 2 y) 8))
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64)))
(- (* x 8) (* (/ 2 y) z))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(* x 8)
(*.f64 x #s(literal 8 binary64))
x
8
#s(literal 8 binary64)
(* (/ 2 y) z)
(*.f64 z (/.f64 #s(literal 2 binary64) y))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
z
(* (/ 2 y) 8)
(/.f64 #s(literal 16 binary64) y)
(/ (- (* (* x y) (/ -8 z)) -2) (/ -16 z))
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64)))
(- (* (* x y) (/ -8 z)) -2)
(+.f64 #s(literal 2 binary64) (.f64 y (/.f64 (.f64 x #s(literal -8 binary64)) z)))
(* (* x y) (/ -8 z))
(.f64 y (/.f64 (.f64 x #s(literal -8 binary64)) z))
(* x y)
(*.f64 y x)
x
y
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
-8
#s(literal -8 binary64)
z
-2
#s(literal -2 binary64)
(/ -16 z)
(/.f64 #s(literal -16 binary64) z)
-16
#s(literal -16 binary64)

localize165.0ms (2.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64))
✓	accuracy	93.4%	(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal -16 binary64) z))
✓	accuracy	91.6%	(.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z))
✓	accuracy	100.0%	(*.f64 x #s(literal 8 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 2 binary64) y) z)
✓	accuracy	86.9%	(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 8 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -8 binary64) z)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	accuracy	100.0%	(/.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (/.f64 y #s(literal 2 binary64)) x)

Results

137.0ms

256×

valid

Compiler

Compiled 115 to 25 computations (78.3% saved)

Precisions

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

ival-mult: 19.0ms (51.4% of total)

ival-div: 15.0ms (40.6% of total)

ival-sub: 3.0ms (8.1% of total)

const: 1.0ms (2.7% of total)

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

series16.0ms (0.2%)

Counts

13 → 312

Calls

Call 1

Inputs
#<alt (* (/ y 2) x)>
#<alt (/ y 2)>
#<alt (/ 1 (/ -8 z))>
#<alt (/ -8 z)>
#<alt (/ (- (* x 8) (* (/ 2 y) z)) (* (/ 2 y) 8))>
#<alt (* (/ 2 y) 8)>
#<alt (- (* x 8) (* (/ 2 y) z))>
#<alt (* x 8)>
#<alt (/ (- (* (* x y) (/ -8 z)) -2) (/ -16 z))>
#<alt (- (* (* x y) (/ -8 z)) -2)>
#<alt (* (* x y) (/ -8 z))>
#<alt (* x y)>
#<alt (* (/ 2 y) z)>

Outputs
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (/ 16 y)>
#<alt (* -2 (/ z y))>
#<alt (- (* 8 x) (* 2 (/ z y)))>
#<alt (- (* 8 x) (* 2 (/ z y)))>
#<alt (- (* 8 x) (* 2 (/ z y)))>
#<alt (* 8 x)>
#<alt (* x (+ 8 (* -2 (/ z (* x y)))))>
#<alt (* x (+ 8 (* -2 (/ z (* x y)))))>
#<alt (* x (+ 8 (* -2 (/ z (* x y)))))>
#<alt (* 8 x)>
#<alt (* -1 (* x (- (* 2 (/ z (* x y))) 8)))>
#<alt (* -1 (* x (- (* 2 (/ z (* x y))) 8)))>
#<alt (* -1 (* x (- (* 2 (/ z (* x y))) 8)))>
#<alt (* -2 (/ z y))>
#<alt (/ (- (* 8 (* x y)) (* 2 z)) y)>
#<alt (/ (- (* 8 (* x y)) (* 2 z)) y)>
#<alt (/ (- (* 8 (* x y)) (* 2 z)) y)>
#<alt (* 8 x)>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (* 8 x)>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (* 8 x)>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (* -2 (/ z y))>
#<alt (* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* -2 (/ z y))>
#<alt (* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -8 (/ (* x y) z))>
#<alt (/ (+ (* -8 (* x y)) (* 2 z)) z)>
#<alt (/ (+ (* -8 (* x y)) (* 2 z)) z)>
#<alt (/ (+ (* -8 (* x y)) (* 2 z)) z)>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt 2>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (+ 2 (* -8 (/ (* x y) z)))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* -8 (/ (* x y) z))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (- (* x 8) (* (/ 2 y) z)) (* (/ 2 y) 8))
2.0ms	z	@	-inf	(/ -8 z)
1.0ms	y	@	0	(/ (- (* x 8) (* (/ 2 y) z)) (* (/ 2 y) 8))
1.0ms	z	@	0	(/ (- (* x 8) (* (/ 2 y) z)) (* (/ 2 y) 8))
1.0ms	z	@	inf	(/ (- (* x 8) (* (/ 2 y) z)) (* (/ 2 y) 8))

rewrite351.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4180×	`-lowering-.f32`
4180×	`-lowering-.f64`
3896×	`/-lowering-/.f32`
3896×	`/-lowering-/.f64`
1536×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	75
1	145	75
2	1062	72
0	8491	72

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 705

Calls

Call 1

Inputs
(* (/ y 2) x)
(/ y 2)
(/ 1 (/ -8 z))
(/ -8 z)
(/ (- (* x 8) (* (/ 2 y) z)) (* (/ 2 y) 8))
(* (/ 2 y) 8)
(- (* x 8) (* (/ 2 y) z))
(* x 8)
(/ (- (* (* x y) (/ -8 z)) -2) (/ -16 z))
(- (* (* x y) (/ -8 z)) -2)
(* (* x y) (/ -8 z))
(* x y)
(* (/ 2 y) z)

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

simplify258.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3124×	`-lowering-.f32`
3124×	`-lowering-.f64`
1720×	`fmsub-define`
1430×	`fma-lowering-fma.f32`
1430×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	1786
1	298	1762
2	894	1762
3	2418	1762
4	5806	1762
0	8037	1762

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(/ 16 y)
(/ 16 y)
(/ 16 y)
(/ 16 y)
(/ 16 y)
(/ 16 y)
(/ 16 y)
(/ 16 y)
(/ 16 y)
(/ 16 y)
(/ 16 y)
(/ 16 y)
(* -2 (/ z y))
(- (* 8 x) (* 2 (/ z y)))
(- (* 8 x) (* 2 (/ z y)))
(- (* 8 x) (* 2 (/ z y)))
(* 8 x)
(* x (+ 8 (* -2 (/ z (* x y)))))
(* x (+ 8 (* -2 (/ z (* x y)))))
(* x (+ 8 (* -2 (/ z (* x y)))))
(* 8 x)
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(* -2 (/ z y))
(/ (- (* 8 (* x y)) (* 2 z)) y)
(/ (- (* 8 (* x y)) (* 2 z)) y)
(/ (- (* 8 (* x y)) (* 2 z)) y)
(* 8 x)
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(* 8 x)
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(* 8 x)
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(* -2 (/ z y))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(* -2 (/ z y))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(* -8 (/ (* x y) z))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(* x (+ (* -8 (/ y z)) (* 2 (/ 1 x))))
(* -8 (/ (* x y) z))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 8 (/ y z)) (* 2 (/ 1 x)))))
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(* -8 (/ (* x y) z))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(* y (+ (* -8 (/ x z)) (* 2 (/ 1 y))))
(* -8 (/ (* x y) z))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* y (- (* 8 (/ x z)) (* 2 (/ 1 y)))))
(* -8 (/ (* x y) z))
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
(/ (+ (* -8 (* x y)) (* 2 z)) z)
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
2
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+ 2 (* -8 (/ (* x y) z)))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* -8 (/ (* x y) z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))

Outputs
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
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(+ 2 (* -8 (/ (* x y) z)))
(+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z)))
(+ 2 (* -8 (/ (* x y) z)))
(+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z)))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* -8 (/ (* x y) z))
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)

eval123.0ms (1.6%)

Compiler: Compiled 23052 to 2038 computations (91.2% saved)

prune164.0ms (2.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1049	2	1051
Fresh	0	0	0
Picked	2	2	4
Done	1	2	3
Total	1052	6	1058

Accuracy

100.0%

Counts

1058 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.0%	(/.f64 (/.f64 y #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 z (/.f64 y #s(literal -2 binary64))))))
▶	87.0%	(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (/.f64 #s(literal 16 binary64) y))
✓	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
✓	48.3%	(*.f64 (/.f64 y #s(literal 2 binary64)) x)
✓	53.5%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 68 to 53 computations (22.1% saved)

simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 z (/.f64 y #s(literal -2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 z (/.f64 y #s(literal -2 binary64)))))
✓	cost-diff	0	(/.f64 y #s(literal 16 binary64))
✓	cost-diff	384	(/.f64 (/.f64 y #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 z (/.f64 y #s(literal -2 binary64))))))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) y) z)
✓	cost-diff	0	(*.f64 x #s(literal 8 binary64))
✓	cost-diff	0	(-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (/.f64 #s(literal 16 binary64) y))

Rules

1814×	`-lowering-.f32`
1814×	`-lowering-.f64`
1802×	`fmsub-define`
1708×	`fmm-def`
1610×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	47	90
2	113	90
3	288	86
4	813	82
5	2308	82
6	4307	82
7	6573	82
0	8422	82

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* x 8) (* (/ 2 y) z)) (/ 16 y))
(- (* x 8) (* (/ 2 y) z))
(* x 8)
x
8
(* (/ 2 y) z)
(/ 2 y)
2
y
z
(/ 16 y)
16
(/ (/ y 16) (/ 1 (+ (* x 8) (/ z (/ y -2)))))
(/ y 16)
y
16
(/ 1 (+ (* x 8) (/ z (/ y -2))))
1
(+ (* x 8) (/ z (/ y -2)))
(* x 8)
x
8
(/ z (/ y -2))
z
(/ y -2)
-2

Outputs
(/ (- (* x 8) (* (/ 2 y) z)) (/ 16 y))
(+.f64 (/.f64 z #s(literal -8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(- (* x 8) (* (/ 2 y) z))
(+.f64 (.f64 x #s(literal 8 binary64)) (/.f64 (.f64 z #s(literal -2 binary64)) y))
(* x 8)
(*.f64 x #s(literal 8 binary64))
x
8
#s(literal 8 binary64)
(* (/ 2 y) z)
(/.f64 (*.f64 #s(literal 2 binary64) z) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
z
(/ 16 y)
(/.f64 #s(literal 16 binary64) y)
16
#s(literal 16 binary64)
(/ (/ y 16) (/ 1 (+ (* x 8) (/ z (/ y -2)))))
(+.f64 (/.f64 z #s(literal -8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(/ y 16)
(/.f64 y #s(literal 16 binary64))
y
16
#s(literal 16 binary64)
(/ 1 (+ (* x 8) (/ z (/ y -2))))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 8 binary64)) (/.f64 (.f64 z #s(literal -2 binary64)) y)))
1
#s(literal 1 binary64)
(+ (* x 8) (/ z (/ y -2)))
(+.f64 (.f64 x #s(literal 8 binary64)) (/.f64 (.f64 z #s(literal -2 binary64)) y))
(* x 8)
(*.f64 x #s(literal 8 binary64))
x
8
#s(literal 8 binary64)
(/ z (/ y -2))
(/.f64 (*.f64 z #s(literal -2 binary64)) y)
z
(/ y -2)
(/.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize163.0ms (2.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 8 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 z (/.f64 y #s(literal -2 binary64))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 z (/.f64 y #s(literal -2 binary64)))))
✓	accuracy	87.1%	(/.f64 (/.f64 y #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 z (/.f64 y #s(literal -2 binary64))))))
✓	accuracy	100.0%	(*.f64 x #s(literal 8 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 2 binary64) y) z)
✓	accuracy	86.9%	(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (/.f64 #s(literal 16 binary64) y))

Results

123.0ms

256×

valid

Compiler

Compiled 102 to 21 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 17.0ms (67.4% of total)

ival-mult: 5.0ms (19.8% of total)

ival-sub: 1.0ms (4% of total)

ival-add: 1.0ms (4% of total)

const: 1.0ms (4% of total)

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

series10.0ms (0.1%)

Counts

8 → 228

Calls

Call 1

Inputs
#<alt (/ (- (* x 8) (* (/ 2 y) z)) (/ 16 y))>
#<alt (- (* x 8) (* (/ 2 y) z))>
#<alt (* x 8)>
#<alt (* (/ 2 y) z)>
#<alt (/ (/ y 16) (/ 1 (+ (* x 8) (/ z (/ y -2)))))>
#<alt (/ y 16)>
#<alt (/ 1 (+ (* x 8) (/ z (/ y -2))))>
#<alt (+ (* x 8) (/ z (/ y -2)))>

Outputs
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -2 (/ z y))>
#<alt (- (* 8 x) (* 2 (/ z y)))>
#<alt (- (* 8 x) (* 2 (/ z y)))>
#<alt (- (* 8 x) (* 2 (/ z y)))>
#<alt (* 8 x)>
#<alt (* x (+ 8 (* -2 (/ z (* x y)))))>
#<alt (* x (+ 8 (* -2 (/ z (* x y)))))>
#<alt (* x (+ 8 (* -2 (/ z (* x y)))))>
#<alt (* 8 x)>
#<alt (* -1 (* x (- (* 2 (/ z (* x y))) 8)))>
#<alt (* -1 (* x (- (* 2 (/ z (* x y))) 8)))>
#<alt (* -1 (* x (- (* 2 (/ z (* x y))) 8)))>
#<alt (* -2 (/ z y))>
#<alt (/ (- (* 8 (* x y)) (* 2 z)) y)>
#<alt (/ (- (* 8 (* x y)) (* 2 z)) y)>
#<alt (/ (- (* 8 (* x y)) (* 2 z)) y)>
#<alt (* 8 x)>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (* 8 x)>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (* 8 x)>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (* -2 (/ z y))>
#<alt (* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* -2 (/ z y))>
#<alt (* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 8 x)>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* 2 (/ z y))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* 1/16 y)>
#<alt (* -1/2 (/ y z))>
#<alt (+ (* -2 (/ (* x (pow y 2)) (pow z 2))) (* -1/2 (/ y z)))>
#<alt (+ (* -1/2 (/ y z)) (* x (- (* -8 (/ (* x (pow y 3)) (pow z 3))) (* 2 (/ (pow y 2) (pow z 2))))))>
#<alt (+ (* -1/2 (/ y z)) (* x (- (* x (- (* -32 (/ (* x (pow y 4)) (pow z 4))) (* 8 (/ (pow y 3) (pow z 3))))) (* 2 (/ (pow y 2) (pow z 2))))))>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/32 (/ z (* x y)))) x)>
#<alt (/ (- (+ 1/8 (* 1/128 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* -1/32 (/ z (* x y)))) x)>
#<alt (/ (- (+ 1/8 (* 1/512 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/32 (/ z (* x y))) (* -1/128 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)>
#<alt (/ 1/8 x)>
#<alt (* -1 (/ (- (* -1/32 (/ z (* x y))) 1/8) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ (pow z 2) (* x (pow y 2)))) (* -1/32 (/ z y))) x)) 1/8) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/512 (/ (pow z 3) (* x (pow y 3)))) (* 1/128 (/ (pow z 2) (pow y 2)))) x)) (* -1/32 (/ z y))) x)) 1/8) x))>
#<alt (/ 1/8 x)>
#<alt (+ (* 1/32 (/ z (* (pow x 2) y))) (* 1/8 (/ 1 x)))>
#<alt (+ (* z (+ (* 1/128 (/ z (* (pow x 3) (pow y 2)))) (* 1/32 (/ 1 (* (pow x 2) y))))) (* 1/8 (/ 1 x)))>
#<alt (+ (* z (+ (* z (+ (* 1/512 (/ z (* (pow x 4) (pow y 3)))) (* 1/128 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/32 (/ 1 (* (pow x 2) y))))) (* 1/8 (/ 1 x)))>
#<alt (* -1/2 (/ y z))>
#<alt (/ (+ (* -2 (/ (* x (pow y 2)) z)) (* -1/2 y)) z)>
#<alt (/ (- (+ (* -8 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* -1/2 y)) (* 2 (/ (* x (pow y 2)) z))) z)>
#<alt (/ (- (+ (* -32 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (* -1/2 y)) (+ (* 2 (/ (* x (pow y 2)) z)) (* 8 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)>
#<alt (* -1/2 (/ y z))>
#<alt (* -1 (/ (+ (* 1/2 y) (* 2 (/ (* x (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (* (pow x 2) (pow y 3)) z)) (* 2 (* x (pow y 2)))) z)) (* 1/2 y)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 32 (/ (* (pow x 3) (pow y 4)) z)) (* -8 (* (pow x 2) (pow y 3)))) z)) (* 2 (* x (pow y 2)))) z)) (* 1/2 y)) z))>
#<alt (* -1/2 (/ y z))>
#<alt (* y (- (* -2 (/ (* x y) (pow z 2))) (* 1/2 (/ 1 z))))>
#<alt (* y (- (* y (- (* -8 (/ (* (pow x 2) y) (pow z 3))) (* 2 (/ x (pow z 2))))) (* 1/2 (/ 1 z))))>
#<alt (* y (- (* y (- (* y (- (* -32 (/ (* (pow x 3) y) (pow z 4))) (* 8 (/ (pow x 2) (pow z 3))))) (* 2 (/ x (pow z 2))))) (* 1/2 (/ 1 z))))>
#<alt (/ 1/8 x)>
#<alt (+ (* 1/32 (/ z (* (pow x 2) y))) (* 1/8 (/ 1 x)))>
#<alt (- (+ (* 1/128 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/8 (/ 1 x))) (* -1/32 (/ z (* (pow x 2) y))))>
#<alt (- (+ (* 1/512 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/8 (/ 1 x))) (+ (* -1/32 (/ z (* (pow x 2) y))) (* -1/128 (/ (pow z 2) (* (pow x 3) (pow y 2))))))>
#<alt (/ 1/8 x)>
#<alt (+ (* 1/32 (/ z (* (pow x 2) y))) (* 1/8 (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1/128 (/ (pow z 2) (* (pow x 3) y))) (* 1/32 (/ z (pow x 2)))) y)) (* 1/8 (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/512 (/ (pow z 3) (* (pow x 4) y))) (* -1/128 (/ (pow z 2) (pow x 3)))) y)) (* 1/32 (/ z (pow x 2)))) y)) (* 1/8 (/ 1 x)))>
#<alt (* -2 (/ z y))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (* 8 x)>
#<alt (* x (+ 8 (* -2 (/ z (* x y)))))>
#<alt (* x (+ 8 (* -2 (/ z (* x y)))))>
#<alt (* x (+ 8 (* -2 (/ z (* x y)))))>
#<alt (* 8 x)>
#<alt (* -1 (* x (- (* 2 (/ z (* x y))) 8)))>
#<alt (* -1 (* x (- (* 2 (/ z (* x y))) 8)))>
#<alt (* -1 (* x (- (* 2 (/ z (* x y))) 8)))>
#<alt (* 8 x)>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (* -2 (/ z y))>
#<alt (* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))>
#<alt (* -2 (/ z y))>
#<alt (* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ z y))>
#<alt (/ (+ (* -2 z) (* 8 (* x y))) y)>
#<alt (/ (+ (* -2 z) (* 8 (* x y))) y)>
#<alt (/ (+ (* -2 z) (* 8 (* x y))) y)>
#<alt (* 8 x)>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (* 8 x)>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>
#<alt (+ (* -2 (/ z y)) (* 8 x))>

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ (/ y 16) (/ 1 (+ (* x 8) (/ z (/ y -2)))))
0.0ms	x	@	-inf	(/ 1 (+ (* x 8) (/ z (/ y -2))))
0.0ms	x	@	inf	(/ 1 (+ (* x 8) (/ z (/ y -2))))
0.0ms	z	@	0	(/ 1 (+ (* x 8) (/ z (/ y -2))))
0.0ms	z	@	inf	(/ 1 (+ (* x 8) (/ z (/ y -2))))

rewrite340.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3338×	`-lowering-.f32`
3338×	`-lowering-.f64`
3044×	`/-lowering-/.f32`
3044×	`/-lowering-/.f64`
1358×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	60
1	128	60
2	1077	60
0	8711	60

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 831

Calls

Call 1

Inputs
(/ (- (* x 8) (* (/ 2 y) z)) (/ 16 y))
(- (* x 8) (* (/ 2 y) z))
(* x 8)
(* (/ 2 y) z)
(/ (/ y 16) (/ 1 (+ (* x 8) (/ z (/ y -2)))))
(/ y 16)
(/ 1 (+ (* x 8) (/ z (/ y -2))))
(+ (* x 8) (/ z (/ y -2)))

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

simplify342.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

5528×	`-lowering-.f32`
5528×	`-lowering-.f64`
2882×	`/-lowering-/.f32`
2882×	`/-lowering-/.f64`
1688×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	2079
1	948	2002
2	3036	1972
0	8357	1972

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -2 (/ z y))
(- (* 8 x) (* 2 (/ z y)))
(- (* 8 x) (* 2 (/ z y)))
(- (* 8 x) (* 2 (/ z y)))
(* 8 x)
(* x (+ 8 (* -2 (/ z (* x y)))))
(* x (+ 8 (* -2 (/ z (* x y)))))
(* x (+ 8 (* -2 (/ z (* x y)))))
(* 8 x)
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(* -2 (/ z y))
(/ (- (* 8 (* x y)) (* 2 z)) y)
(/ (- (* 8 (* x y)) (* 2 z)) y)
(/ (- (* 8 (* x y)) (* 2 z)) y)
(* 8 x)
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(* 8 x)
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(* 8 x)
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(* -2 (/ z y))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(* -2 (/ z y))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 8 x)
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* 2 (/ z y))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* 1/16 y)
(* -1/2 (/ y z))
(+ (* -2 (/ (* x (pow y 2)) (pow z 2))) (* -1/2 (/ y z)))
(+ (* -1/2 (/ y z)) (* x (- (* -8 (/ (* x (pow y 3)) (pow z 3))) (* 2 (/ (pow y 2) (pow z 2))))))
(+ (* -1/2 (/ y z)) (* x (- (* x (- (* -32 (/ (* x (pow y 4)) (pow z 4))) (* 8 (/ (pow y 3) (pow z 3))))) (* 2 (/ (pow y 2) (pow z 2))))))
(/ 1/8 x)
(/ (+ 1/8 (* 1/32 (/ z (* x y)))) x)
(/ (- (+ 1/8 (* 1/128 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* -1/32 (/ z (* x y)))) x)
(/ (- (+ 1/8 (* 1/512 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/32 (/ z (* x y))) (* -1/128 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ 1/8 x)
(* -1 (/ (- (* -1/32 (/ z (* x y))) 1/8) x))
(* -1 (/ (- (* -1 (/ (- (* 1/128 (/ (pow z 2) (* x (pow y 2)))) (* -1/32 (/ z y))) x)) 1/8) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/512 (/ (pow z 3) (* x (pow y 3)))) (* 1/128 (/ (pow z 2) (pow y 2)))) x)) (* -1/32 (/ z y))) x)) 1/8) x))
(/ 1/8 x)
(+ (* 1/32 (/ z (* (pow x 2) y))) (* 1/8 (/ 1 x)))
(+ (* z (+ (* 1/128 (/ z (* (pow x 3) (pow y 2)))) (* 1/32 (/ 1 (* (pow x 2) y))))) (* 1/8 (/ 1 x)))
(+ (* z (+ (* z (+ (* 1/512 (/ z (* (pow x 4) (pow y 3)))) (* 1/128 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/32 (/ 1 (* (pow x 2) y))))) (* 1/8 (/ 1 x)))
(* -1/2 (/ y z))
(/ (+ (* -2 (/ (* x (pow y 2)) z)) (* -1/2 y)) z)
(/ (- (+ (* -8 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* -1/2 y)) (* 2 (/ (* x (pow y 2)) z))) z)
(/ (- (+ (* -32 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (* -1/2 y)) (+ (* 2 (/ (* x (pow y 2)) z)) (* 8 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(* -1/2 (/ y z))
(* -1 (/ (+ (* 1/2 y) (* 2 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (* (pow x 2) (pow y 3)) z)) (* 2 (* x (pow y 2)))) z)) (* 1/2 y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 32 (/ (* (pow x 3) (pow y 4)) z)) (* -8 (* (pow x 2) (pow y 3)))) z)) (* 2 (* x (pow y 2)))) z)) (* 1/2 y)) z))
(* -1/2 (/ y z))
(* y (- (* -2 (/ (* x y) (pow z 2))) (* 1/2 (/ 1 z))))
(* y (- (* y (- (* -8 (/ (* (pow x 2) y) (pow z 3))) (* 2 (/ x (pow z 2))))) (* 1/2 (/ 1 z))))
(* y (- (* y (- (* y (- (* -32 (/ (* (pow x 3) y) (pow z 4))) (* 8 (/ (pow x 2) (pow z 3))))) (* 2 (/ x (pow z 2))))) (* 1/2 (/ 1 z))))
(/ 1/8 x)
(+ (* 1/32 (/ z (* (pow x 2) y))) (* 1/8 (/ 1 x)))
(- (+ (* 1/128 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/8 (/ 1 x))) (* -1/32 (/ z (* (pow x 2) y))))
(- (+ (* 1/512 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/8 (/ 1 x))) (+ (* -1/32 (/ z (* (pow x 2) y))) (* -1/128 (/ (pow z 2) (* (pow x 3) (pow y 2))))))
(/ 1/8 x)
(+ (* 1/32 (/ z (* (pow x 2) y))) (* 1/8 (/ 1 x)))
(+ (* -1 (/ (- (* -1/128 (/ (pow z 2) (* (pow x 3) y))) (* 1/32 (/ z (pow x 2)))) y)) (* 1/8 (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/512 (/ (pow z 3) (* (pow x 4) y))) (* -1/128 (/ (pow z 2) (pow x 3)))) y)) (* 1/32 (/ z (pow x 2)))) y)) (* 1/8 (/ 1 x)))
(* -2 (/ z y))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(* 8 x)
(* x (+ 8 (* -2 (/ z (* x y)))))
(* x (+ 8 (* -2 (/ z (* x y)))))
(* x (+ 8 (* -2 (/ z (* x y)))))
(* 8 x)
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(* 8 x)
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(* -2 (/ z y))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(* -2 (/ z y))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(* -2 (/ z y))
(/ (+ (* -2 z) (* 8 (* x y))) y)
(/ (+ (* -2 z) (* 8 (* x y))) y)
(/ (+ (* -2 z) (* 8 (* x y))) y)
(* 8 x)
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(* 8 x)
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))
(+ (* -2 (/ z y)) (* 8 x))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(.f64 z (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) z)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(.f64 z (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) z)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(.f64 z (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) z)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(* -2 (/ z y))
(*.f64 z (/.f64 #s(literal -2 binary64) y))
(- (* 8 x) (* 2 (/ z y)))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(- (* 8 x) (* 2 (/ z y)))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(- (* 8 x) (* 2 (/ z y)))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* x (+ 8 (* -2 (/ z (* x y)))))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* x (+ 8 (* -2 (/ z (* x y)))))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* x (+ 8 (* -2 (/ z (* x y)))))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* -2 (/ z y))
(*.f64 z (/.f64 #s(literal -2 binary64) y))
(/ (- (* 8 (* x y)) (* 2 z)) y)
(+.f64 (.f64 (.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 z (/.f64 #s(literal -2 binary64) y)))
(/ (- (* 8 (* x y)) (* 2 z)) y)
(+.f64 (.f64 (.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 z (/.f64 #s(literal -2 binary64) y)))
(/ (- (* 8 (* x y)) (* 2 z)) y)
(+.f64 (.f64 (.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 z (/.f64 #s(literal -2 binary64) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(* -2 (/ z y))
(*.f64 z (/.f64 #s(literal -2 binary64) y))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(.f64 z (+.f64 (/.f64 (.f64 x #s(literal 8 binary64)) z) (/.f64 #s(literal -2 binary64) y)))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(.f64 z (+.f64 (/.f64 (.f64 x #s(literal 8 binary64)) z) (/.f64 #s(literal -2 binary64) y)))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(.f64 z (+.f64 (/.f64 (.f64 x #s(literal 8 binary64)) z) (/.f64 #s(literal -2 binary64) y)))
(* -2 (/ z y))
(*.f64 z (/.f64 #s(literal -2 binary64) y))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 x #s(literal -8 binary64)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 x #s(literal -8 binary64)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 x #s(literal -8 binary64)) z)) (-.f64 #s(literal 0 binary64) z))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* 2 (/ z y))
(/.f64 (*.f64 z #s(literal 2 binary64)) y)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(.f64 z (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) z)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(.f64 z (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) z)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(.f64 z (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x y)) z)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* 1/16 y)
(*.f64 y #s(literal 1/16 binary64))
(* -1/2 (/ y z))
(*.f64 y (/.f64 #s(literal -1/2 binary64) z))
(+ (* -2 (/ (* x (pow y 2)) (pow z 2))) (* -1/2 (/ y z)))
(+.f64 (.f64 y (/.f64 #s(literal -1/2 binary64) z)) (/.f64 (.f64 x (/.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) z)) z))
(+ (* -1/2 (/ y z)) (* x (- (* -8 (/ (* x (pow y 3)) (pow z 3))) (* 2 (/ (pow y 2) (pow z 2))))))
(+.f64 (.f64 y (/.f64 #s(literal -1/2 binary64) z)) (.f64 x (+.f64 (/.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 y (.f64 y y)))) (.f64 z (.f64 z z))) (/.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) z) z))))
(+ (* -1/2 (/ y z)) (* x (- (* x (- (* -32 (/ (* x (pow y 4)) (pow z 4))) (* 8 (/ (pow y 3) (pow z 3))))) (* 2 (/ (pow y 2) (pow z 2))))))
(+.f64 (.f64 y (/.f64 #s(literal -1/2 binary64) z)) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 (.f64 #s(literal -32 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -8 binary64) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))))) (/.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) z) z))))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/32 (/ z (* x y)))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 z y) #s(literal 1/32 binary64)) x)) x)
(/ (- (+ 1/8 (* 1/128 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* -1/32 (/ z (* x y)))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/128 binary64)) (.f64 x (.f64 y y))) (*.f64 (/.f64 z y) #s(literal 1/32 binary64))) x)) x)
(/ (- (+ 1/8 (* 1/512 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/32 (/ z (* x y))) (* -1/128 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (.f64 (.f64 y y) (.f64 x (.f64 y (.f64 x x)))))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/128 binary64)) (.f64 x (.f64 y y))) (*.f64 (/.f64 z y) #s(literal 1/32 binary64))) x)) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(* -1 (/ (- (* -1/32 (/ z (* x y))) 1/8) x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 z y) #s(literal 1/32 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/128 (/ (pow z 2) (* x (pow y 2)))) (* -1/32 (/ z y))) x)) 1/8) x))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (.f64 (/.f64 z y) #s(literal -1/32 binary64)) (/.f64 (.f64 #s(literal -1/128 binary64) (.f64 z (/.f64 z (.f64 y y)))) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/512 (/ (pow z 3) (* x (pow y 3)))) (* 1/128 (/ (pow z 2) (pow y 2)))) x)) (* -1/32 (/ z y))) x)) 1/8) x))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 (/.f64 z y) #s(literal 1/32 binary64)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) y) (/.f64 #s(literal -1/512 binary64) (.f64 x (.f64 y y)))) (.f64 #s(literal -1/128 binary64) (.f64 z (/.f64 z (*.f64 y y))))) x)) x)) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(+ (* 1/32 (/ z (* (pow x 2) y))) (* 1/8 (/ 1 x)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 z y) #s(literal 1/32 binary64)) x)) x)
(+ (* z (+ (* 1/128 (/ z (* (pow x 3) (pow y 2)))) (* 1/32 (/ 1 (* (pow x 2) y))))) (* 1/8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/128 binary64)) (.f64 x (.f64 y y))) (*.f64 (/.f64 z y) #s(literal 1/32 binary64))) x) x))
(+ (* z (+ (* z (+ (* 1/512 (/ z (* (pow x 4) (pow y 3)))) (* 1/128 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/32 (/ 1 (* (pow x 2) y))))) (* 1/8 (/ 1 x)))
(+.f64 (.f64 (.f64 z z) (+.f64 (/.f64 (.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 4 binary64))) z) (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1/128 binary64) (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 z y) #s(literal 1/32 binary64)) x)) x))
(* -1/2 (/ y z))
(*.f64 y (/.f64 #s(literal -1/2 binary64) z))
(/ (+ (* -2 (/ (* x (pow y 2)) z)) (* -1/2 y)) z)
(/.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x (/.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) z))) z)
(/ (- (+ (* -8 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* -1/2 y)) (* 2 (/ (* x (pow y 2)) z))) z)
(/.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 y (/.f64 y z))) #s(literal -8 binary64))) (.f64 x (.f64 #s(literal -2 binary64) (*.f64 y y)))) z)) z)
(/ (- (+ (* -32 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (* -1/2 y)) (+ (* 2 (/ (* x (pow y 2)) z)) (* 8 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -32 binary64) (.f64 x (.f64 x x))) (pow.f64 y #s(literal 4 binary64))) (.f64 z (.f64 z z))) (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 y (/.f64 y z))) #s(literal -8 binary64))) (.f64 x (.f64 #s(literal -2 binary64) (*.f64 y y)))) z))) z)
(* -1/2 (/ y z))
(*.f64 y (/.f64 #s(literal -1/2 binary64) z))
(* -1 (/ (+ (* 1/2 y) (* 2 (/ (* x (pow y 2)) z))) z))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 (.f64 y (/.f64 y z)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (* (pow x 2) (pow y 3)) z)) (* 2 (* x (pow y 2)))) z)) (* 1/2 y)) z))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 y (.f64 y (/.f64 y z))) #s(literal -8 binary64))) (.f64 x (.f64 #s(literal -2 binary64) (*.f64 y y)))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 32 (/ (* (pow x 3) (pow y 4)) z)) (* -8 (* (pow x 2) (pow y 3)))) z)) (* 2 (* x (pow y 2)))) z)) (* 1/2 y)) z))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 #s(literal 32 binary64) (.f64 x (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 8 binary64) (.f64 x x)))) z) (.f64 x (.f64 #s(literal 2 binary64) (*.f64 y y)))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1/2 (/ y z))
(*.f64 y (/.f64 #s(literal -1/2 binary64) z))
(* y (- (* -2 (/ (* x y) (pow z 2))) (* 1/2 (/ 1 z))))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (/.f64 (*.f64 x y) z)) z) (/.f64 #s(literal -1/2 binary64) z)))
(* y (- (* y (- (* -8 (/ (* (pow x 2) y) (pow z 3))) (* 2 (/ x (pow z 2))))) (* 1/2 (/ 1 z))))
(.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 #s(literal -8 binary64) (.f64 y (.f64 x x))) (.f64 z (.f64 z z))) (.f64 #s(literal -2 binary64) (/.f64 x (*.f64 z z))))) (/.f64 #s(literal -1/2 binary64) z)))
(* y (- (* y (- (* y (- (* -32 (/ (* (pow x 3) y) (pow z 4))) (* 8 (/ (pow x 2) (pow z 3))))) (* 2 (/ x (pow z 2))))) (* 1/2 (/ 1 z))))
(.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (.f64 (.f64 #s(literal -32 binary64) (.f64 x (.f64 x x))) y) (pow.f64 z #s(literal 4 binary64))) (.f64 #s(literal -8 binary64) (.f64 x (/.f64 x (.f64 z (.f64 z z))))))) (.f64 #s(literal -2 binary64) (/.f64 x (*.f64 z z))))) (/.f64 #s(literal -1/2 binary64) z)))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(+ (* 1/32 (/ z (* (pow x 2) y))) (* 1/8 (/ 1 x)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 z y) #s(literal 1/32 binary64)) x)) x)
(- (+ (* 1/128 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/8 (/ 1 x))) (* -1/32 (/ z (* (pow x 2) y))))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/128 binary64)) (.f64 x (.f64 y y))) (*.f64 (/.f64 z y) #s(literal 1/32 binary64))) x) x))
(- (+ (* 1/512 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/8 (/ 1 x))) (+ (* -1/32 (/ z (* (pow x 2) y))) (* -1/128 (/ (pow z 2) (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/128 binary64)) (.f64 x (.f64 y y))) (.f64 (/.f64 z y) #s(literal 1/32 binary64))) x) x) (.f64 (/.f64 (.f64 z (.f64 z z)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/512 binary64) (.f64 y (.f64 y y))))))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(+ (* 1/32 (/ z (* (pow x 2) y))) (* 1/8 (/ 1 x)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 z y) #s(literal 1/32 binary64)) x)) x)
(+ (* -1 (/ (- (* -1/128 (/ (pow z 2) (* (pow x 3) y))) (* 1/32 (/ z (pow x 2)))) y)) (* 1/8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/128 binary64)) (.f64 x (.f64 y y))) (*.f64 (/.f64 z y) #s(literal 1/32 binary64))) x) x))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/512 (/ (pow z 3) (* (pow x 4) y))) (* -1/128 (/ (pow z 2) (pow x 3)))) y)) (* 1/32 (/ z (pow x 2)))) y)) (* 1/8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 1/512 binary64)) (.f64 y (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/128 binary64) (/.f64 (/.f64 (/.f64 (.f64 z z) x) x) x))) y) (.f64 #s(literal 1/32 binary64) (/.f64 z (.f64 x x)))) y))
(* -2 (/ z y))
(*.f64 z (/.f64 #s(literal -2 binary64) y))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* x (+ 8 (* -2 (/ z (* x y)))))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* x (+ 8 (* -2 (/ z (* x y)))))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* x (+ 8 (* -2 (/ z (* x y)))))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* -1 (* x (- (* 2 (/ z (* x y))) 8)))
(.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 (/.f64 z x) #s(literal -2 binary64)) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(* -2 (/ z y))
(*.f64 z (/.f64 #s(literal -2 binary64) y))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(.f64 z (+.f64 (/.f64 (.f64 x #s(literal 8 binary64)) z) (/.f64 #s(literal -2 binary64) y)))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(.f64 z (+.f64 (/.f64 (.f64 x #s(literal 8 binary64)) z) (/.f64 #s(literal -2 binary64) y)))
(* z (- (* 8 (/ x z)) (* 2 (/ 1 y))))
(.f64 z (+.f64 (/.f64 (.f64 x #s(literal 8 binary64)) z) (/.f64 #s(literal -2 binary64) y)))
(* -2 (/ z y))
(*.f64 z (/.f64 #s(literal -2 binary64) y))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 x #s(literal -8 binary64)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 x #s(literal -8 binary64)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -8 (/ x z)) (* 2 (/ 1 y)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (.f64 x #s(literal -8 binary64)) z)) (-.f64 #s(literal 0 binary64) z))
(* -2 (/ z y))
(*.f64 z (/.f64 #s(literal -2 binary64) y))
(/ (+ (* -2 z) (* 8 (* x y))) y)
(+.f64 (.f64 (.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 z (/.f64 #s(literal -2 binary64) y)))
(/ (+ (* -2 z) (* 8 (* x y))) y)
(+.f64 (.f64 (.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 z (/.f64 #s(literal -2 binary64) y)))
(/ (+ (* -2 z) (* 8 (* x y))) y)
(+.f64 (.f64 (.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 z (/.f64 #s(literal -2 binary64) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ z y)) (* 8 x))
(+.f64 (.f64 x #s(literal 8 binary64)) (.f64 z (/.f64 #s(literal -2 binary64) y)))

eval164.0ms (2.1%)

Compiler: Compiled 32451 to 1826 computations (94.4% saved)

prune98.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1074	3	1077
Fresh	0	0	0
Picked	2	0	2
Done	0	4	4
Total	1076	7	1083

Accuracy

100.0%

Counts

1083 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 (/.f64 y #s(literal 16 binary64)) (/.f64 #s(literal 1/8 binary64) x))
	87.0%	(/.f64 y (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) (*.f64 #s(literal -8 binary64) x))))
✓	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
✓	48.3%	(*.f64 (/.f64 y #s(literal 2 binary64)) x)
	87.2%	(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
✓	53.5%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 223 to 115 computations (48.4% saved)

regimes38.0ms (0.5%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 (/.f64 y #s(literal 16 binary64)) (/.f64 #s(literal 1/8 binary64) x))
(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 y (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) (*.f64 #s(literal -8 binary64) x))))
(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (/.f64 #s(literal 16 binary64) y))
(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal -16 binary64) z))
(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) z)))
(/.f64 (/.f64 y #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 z (/.f64 y #s(literal -2 binary64))))))
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))

Outputs
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))

Calls

7 calls:

6.0ms	(*.f64 x y)
6.0ms	z
5.0ms	(/.f64 z #s(literal 8 binary64))
5.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
5.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes58.0ms (0.8%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 (/.f64 y #s(literal 16 binary64)) (/.f64 #s(literal 1/8 binary64) x))
(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 y (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) z) y) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 y (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 y z)) (*.f64 #s(literal -8 binary64) x))))
(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (/.f64 #s(literal 16 binary64) y))
(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (/.f64 #s(literal -16 binary64) z))
(/.f64 (-.f64 (.f64 x #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 2 binary64) y) z)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 #s(literal -8 binary64) z)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) z)))
(/.f64 (/.f64 y #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 8 binary64)) (/.f64 z (/.f64 y #s(literal -2 binary64))))))

Outputs
(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))

Calls

7 calls:

19.0ms	x
15.0ms	(*.f64 x y)
5.0ms	(/.f64 z #s(literal 8 binary64))
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes10.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 (/.f64 y #s(literal 16 binary64)) (/.f64 #s(literal 1/8 binary64) x))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 (/.f64 y #s(literal 2 binary64)) x)

Calls

4 calls:

2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
73.7%	3	`x`
76.7%	3	`y`
74.6%	3	`z`
79.0%	3	`(*.f64 x y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))

Calls

1 calls:

1.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
78.8%	3	`(*.f64 x y)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(*.f64 #s(literal -1/8 binary64) z)

Calls

3 calls:

4.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`z`
53.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.7837288376528174e-8	5.087286056300072e-8
0.0ms	-2.6769734404739123e+115	-4.985357302893856e+112

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch17.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	4.7837288376528174e-8	5.087286056300072e-8
12.0ms	-2.6769734404739123e+115	-4.985357302893856e+112

Results

9.0ms

144×

valid

Compiler

Compiled 144 to 122 computations (15.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (61% of total)

ival-sub: 1.0ms (30.5% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	66
1	36	66
2	45	66
3	51	66
4	56	66
5	58	66

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 944473296573929/18889465931478580854784 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 (/.f64 y #s(literal 2 binary64)) x)))
(if (<=.f64 (.f64 x y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 944473296573929/18889465931478580854784 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
(-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) x) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 944473296573929/18889465931478580854784 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 (/.f64 y #s(literal 2 binary64)) x)))
(if (<=.f64 (.f64 y x) #s(literal -20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (.f64 (.f64 y x) #s(literal 1/2 binary64)) (if (<=.f64 (.f64 y x) #s(literal 944473296573929/18889465931478580854784 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) x)))
(if (<=.f64 (.f64 x y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 944473296573929/18889465931478580854784 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(if (<=.f64 (.f64 y x) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 y x) #s(literal 1/2 binary64)) (if (<=.f64 (.f64 y x) #s(literal 944473296573929/18889465931478580854784 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 (*.f64 y x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))

soundness1.1s (14.9%)

Rules

4654×	`-lowering-.f32`
4654×	`-lowering-.f64`
4032×	`-lowering-.f32`
4032×	`-lowering-.f64`
3870×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	52	19
2	515	19
0	9051	19
0	23	67
1	122	67
2	1025	67
0	8441	67
0	42	481
1	132	481
2	400	481
3	1073	481
4	2981	481
5	5790	481
0	8068	481

Stop Event

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

Compiler

Compiled 146 to 83 computations (43.2% saved)

preprocess57.0ms (0.7%)

Remove: (sort x y)
Compiler: Compiled 214 to 104 computations (51.4% saved)

analyze0.0ms (0%)

sample1.2s (15.7%)

preprocess132.0ms (1.7%)

explain107.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify47.0ms (0.6%)

localize43.0ms (0.6%)

series15.0ms (0.2%)

rewrite281.0ms (3.6%)

simplify128.0ms (1.7%)

eval33.0ms (0.4%)

prune48.0ms (0.6%)

simplify189.0ms (2.4%)

localize117.0ms (1.5%)

series30.0ms (0.4%)

rewrite434.0ms (5.6%)

simplify256.0ms (3.3%)

eval319.0ms (4.1%)

prune383.0ms (5%)

simplify254.0ms (3.3%)

localize165.0ms (2.1%)

series16.0ms (0.2%)

rewrite351.0ms (4.5%)

simplify258.0ms (3.3%)

eval123.0ms (1.6%)

prune164.0ms (2.1%)

simplify151.0ms (2%)

localize163.0ms (2.1%)

series10.0ms (0.1%)

rewrite340.0ms (4.4%)

simplify342.0ms (4.4%)

eval164.0ms (2.1%)

prune98.0ms (1.3%)

regimes38.0ms (0.5%)

regimes58.0ms (0.8%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.1s (14.9%)

preprocess57.0ms (0.7%)

end0.0ms (0%)

Profiling