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

analyze1.0ms (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)

sample787.0ms (14.3%)

Results

558.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-div: 121.0ms (40.6% of total)

ival-mult: 99.0ms (33.2% of total)

ival-sub: 60.0ms (20.2% of total)

const: 15.0ms (5% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess162.0ms (2.9%)

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)

explain192.0ms (3.5%)

FPErrors

Click to see full error table

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

Results

46.0ms

512×

valid

Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions

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

ival-div: 6.0ms (40.5% of total)

ival-mult: 5.0ms (33.8% of total)

ival-sub: 3.0ms (20.3% of total)

const: 1.0ms (6.8% of total)

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

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 9 computations (25% saved)

simplify50.0ms (0.9%)

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)

localize42.0ms (0.8%)

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

Results

33.0ms

256×

valid

Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions

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

ival-div: 3.0ms (41.3% of total)

ival-mult: 2.0ms (27.5% of total)

ival-sub: 1.0ms (13.8% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

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
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))
0.0ms	x	@	inf	(- (/ (* x y) 2) (/ z 8))
0.0ms	z	@	inf	(- (/ (* x y) 2) (/ z 8))

rewrite529.0ms (9.6%)

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)))
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(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
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(*.f64 (/.f64 y #s(literal 2 binary64)) x)
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(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
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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)))

simplify136.0ms (2.5%)

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))

eval37.0ms (0.7%)

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

prune62.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	312	3	315
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	312	4	316

Accuracy

100.0%

Counts

316 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(/.f64 (+.f64 (/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 z #s(literal 8 binary64))))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶	51.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
▶	50.3%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify248.0ms (4.5%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64))) #s(literal -2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	384	(/.f64 (+.f64 (/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (/.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)

Rules

6286×	`-lowering-.f32`
6286×	`-lowering-.f64`
3876×	`/-lowering-/.f32`
3876×	`/-lowering-/.f64`
1858×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	30	58
2	61	58
3	100	58
4	147	58
5	246	58
6	582	55
7	1317	54
8	2647	54
9	3472	54
10	3922	54
11	4189	54
12	4763	54
0	8333	54

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize53.0ms (1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64))) #s(literal -2 binary64))
✓	accuracy	90.4%	(/.f64 (+.f64 (/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 z #s(literal 8 binary64))))
✓	accuracy	90.3%	(/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) z)

Results

36.0ms

256×

valid

Compiler

Compiled 68 to 17 computations (75% saved)

Precisions

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

ival-div: 7.0ms (47.2% of total)

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

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

const: 1.0ms (6.7% of total)

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

series27.0ms (0.5%)

Counts

7 → 180

Calls

Call 1

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

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

45 calls:

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

rewrite282.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4942×	`-lowering-.f32`
4942×	`-lowering-.f64`
3502×	`/-lowering-/.f32`
3502×	`/-lowering-/.f64`
1394×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	73	41
2	554	41
3	6713	41
0	8042	41

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 430

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 z #s(literal -8 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (/.f64 z #s(literal 8 binary64)))
(/.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 z #s(literal -8 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z #s(literal 8 binary64)) (.f64 (.f64 z z) #s(literal 1/64 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 #s(literal 0 binary64) (/.f64 z #s(literal 8 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) #s(literal 1/64 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 z #s(literal 8 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 8 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #s(literal -8 binary64))
(pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (/.f64 z #s(literal 8 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1/8 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z #s(literal -8 binary64)))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 z #s(literal 8 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/8 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 x y) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x y)
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 y x)
(*.f64 y (/.f64 x #s(literal 1 binary64)))
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 y (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(*.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))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) y)
(.f64 (.f64 #s(literal 1 binary64) x) y)
(.f64 (.f64 #s(literal 1 binary64) y) x)
(+.f64 (.f64 (/.f64 z #s(literal 16 binary64)) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))) (.f64 (/.f64 z #s(literal 16 binary64)) #s(literal -2 binary64)))
(+.f64 (.f64 (/.f64 z #s(literal 16 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 z #s(literal 16 binary64)) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))))
(+.f64 (.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) (/.f64 z #s(literal 16 binary64))) (.f64 #s(literal -2 binary64) (/.f64 z #s(literal 16 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) (/.f64 z #s(literal 16 binary64))) (.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) (/.f64 z #s(literal 16 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 16 binary64) (.f64 z (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64)) (/.f64 #s(literal -16 binary64) z)))
(-.f64 (/.f64 (/.f64 (.f64 x y) (.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (*.f64 x y)))) (/.f64 #s(literal 16 binary64) z)) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -16 binary64) z)) (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64)) (/.f64 #s(literal -16 binary64) z)))
(-.f64 (/.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y))) (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64)) (/.f64 z #s(literal 16 binary64)))) (/.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64)) (/.f64 z #s(literal 16 binary64)))))
(neg.f64 (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64)) (/.f64 #s(literal -16 binary64) z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64)) (/.f64 #s(literal -16 binary64) z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 z (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 z (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64)))))
(/.f64 (/.f64 z #s(literal 8 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)))))
(/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64)) (/.f64 #s(literal 16 binary64) z))
(/.f64 (/.f64 (*.f64 z (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64))) #s(literal 16 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))) (/.f64 #s(literal -16 binary64) z))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64))) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (.f64 x y) z)) #s(literal -16 binary64)))) (/.f64 z #s(literal 16 binary64))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64))) (.f64 (/.f64 #s(literal -16 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (*.f64 x y) z)) #s(literal -16 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 z (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))) z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (.f64 x y) z)) #s(literal -16 binary64)))) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64))) (/.f64 #s(literal 16 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y))) #s(literal -4 binary64)) (/.f64 #s(literal 16 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (/.f64 (*.f64 z (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (/.f64 z #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y))) #s(literal -4 binary64)) (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64)) (/.f64 z #s(literal 16 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y))) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal -16 binary64) z) (+.f64 (/.f64 (.f64 x y) (/.f64 z #s(literal -8 binary64))) #s(literal -2 binary64))))
(/.f64 (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 16 binary64) z) (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)))))
(/.f64 (*.f64 z (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64))) #s(literal 16 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))) z) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (.f64 x y) z)) #s(literal -16 binary64)))) (/.f64 z #s(literal 16 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64)))) (.f64 (/.f64 #s(literal -16 binary64) z) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (*.f64 x y) z)) #s(literal -16 binary64))))))
(/.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64)))) (.f64 (/.f64 #s(literal 16 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (*.f64 x y) z)) #s(literal -16 binary64)))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y)))) #s(literal 4 binary64)) (neg.f64 (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64)) (/.f64 z #s(literal 16 binary64)))))
(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y)))) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -16 binary64) z) (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y)))) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 16 binary64) z) (+.f64 (/.f64 (.f64 x y) (/.f64 z #s(literal -8 binary64))) #s(literal -2 binary64))))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64)) (.f64 (.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y))))) #s(literal 262144 binary64))) #s(literal -512 binary64)) (.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (.f64 x y) z)) #s(literal -16 binary64)))) (/.f64 z #s(literal 16 binary64))) (+.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y))))) #s(literal 262144 binary64)) (-.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (*.f64 x y)))) #s(literal -4096 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y))))) #s(literal 262144 binary64)) #s(literal -64 binary64)) (.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (.f64 x y) z)) #s(literal -16 binary64)))) (/.f64 z #s(literal 16 binary64))) (+.f64 (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (*.f64 x y)))) #s(literal 1/512 binary64)) #s(literal 8 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y))))) #s(literal 262144 binary64)) #s(literal -64 binary64)) (.f64 (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64)) (/.f64 z #s(literal 16 binary64))) (+.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y))) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 4096 binary64)) (+.f64 #s(literal 16 binary64) (.f64 (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y))) #s(literal 256 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y)))) (*.f64 (/.f64 #s(literal 16 binary64) z) (-.f64 #s(literal -2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (.f64 x y) z)) #s(literal -16 binary64))))) (+.f64 #s(literal -8 binary64) (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (*.f64 x y)))) #s(literal 1/512 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (*.f64 x y))) #s(literal -4 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y))) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (*.f64 x y))) #s(literal -4 binary64))) (+.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal -2 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64))) (+.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y))))) #s(literal 262144 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 16 binary64) z))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 16 binary64) z))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 16 binary64) z))))))) (+.f64 (.f64 (.f64 (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y))) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 4096 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 16 binary64) z))) (-.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 16 binary64) z))) (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y)))))))
(.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 x y) z) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (.f64 x y) z)) #s(literal -16 binary64)))) (-.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 16 binary64) z)))))) (-.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x y) (/.f64 #s(literal 16 binary64) z)))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y))) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 (/.f64 (.f64 x y) z) (/.f64 (/.f64 (.f64 x y) z) (/.f64 z (.f64 x y)))) #s(literal 1/512 binary64)) #s(literal 8 binary64))) (+.f64 (/.f64 (.f64 x y) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 x y))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (/.f64 z (.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 z #s(literal 8 binary64)) y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) (/.f64 z #s(literal -8 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z #s(literal -8 binary64))) (/.f64 (*.f64 x y) (/.f64 z #s(literal -8 binary64))))
(neg.f64 (/.f64 (*.f64 x y) (/.f64 z #s(literal -8 binary64))))
(neg.f64 (.f64 (/.f64 (.f64 x y) (/.f64 z #s(literal -8 binary64))) #s(literal 1 binary64)))
(/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))
(/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64)))
(/.f64 #s(literal 8 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 z #s(literal -8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z #s(literal 8 binary64)) y) x))
(/.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (.f64 x y) #s(literal -8 binary64))))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1/8 binary64) y))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1/8 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/8 binary64) (*.f64 x y)))
(/.f64 (*.f64 x (/.f64 y #s(literal 1/8 binary64))) z)
(/.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z)) #s(literal -1/8 binary64))
(/.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (*.f64 x (/.f64 y #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1/8 binary64)) z)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1/8 binary64)) z)
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 z #s(literal 8 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (.f64 #s(literal 8 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 z #s(literal 8 binary64)) y))
(/.f64 (.f64 (/.f64 (.f64 x y) z) #s(literal 1 binary64)) #s(literal 1/8 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (/.f64 y #s(literal 1/8 binary64)))) z)
(/.f64 (.f64 (.f64 x (/.f64 y #s(literal 1/8 binary64))) #s(literal 1 binary64)) z)
(pow.f64 (/.f64 (/.f64 (/.f64 z #s(literal 8 binary64)) y) x) #s(literal -1 binary64))
(*.f64 x (/.f64 y (/.f64 z #s(literal 8 binary64))))
(.f64 x (.f64 (/.f64 y (/.f64 z #s(literal 8 binary64))) #s(literal 1 binary64)))
(*.f64 y (/.f64 x (/.f64 z #s(literal 8 binary64))))
(.f64 y (.f64 (/.f64 x (/.f64 z #s(literal 8 binary64))) #s(literal 1 binary64)))
(.f64 y (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -8 binary64) z)))
(.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z))
(.f64 #s(literal 8 binary64) (/.f64 (.f64 x y) z))
(.f64 #s(literal 8 binary64) (.f64 (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(*.f64 (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal -8 binary64) z))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (*.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1 binary64)))
(.f64 #s(literal -8 binary64) (/.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) z)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)))
(.f64 (/.f64 #s(literal 8 binary64) z) (.f64 x y))
(.f64 (/.f64 #s(literal 8 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x y) z) #s(literal 8 binary64))
(*.f64 (/.f64 y (/.f64 z #s(literal 8 binary64))) x)
(.f64 (/.f64 y (/.f64 z #s(literal 8 binary64))) (.f64 x #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (/.f64 z #s(literal -8 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (/.f64 z #s(literal -8 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x (/.f64 #s(literal -8 binary64) z)))
(*.f64 (/.f64 x z) (/.f64 y #s(literal 1/8 binary64)))
(.f64 (/.f64 x z) (.f64 (/.f64 y #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y #s(literal 1/8 binary64)) (/.f64 x z))
(*.f64 (/.f64 y z) (/.f64 x #s(literal 1/8 binary64)))
(.f64 (/.f64 y z) (.f64 #s(literal 8 binary64) x))
(.f64 (/.f64 y z) (.f64 (/.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 1/8 binary64)) (/.f64 y z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 y #s(literal 1/8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) #s(literal 1/8 binary64)))
(.f64 (/.f64 #s(literal -8 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (/.f64 z #s(literal -8 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 y (/.f64 #s(literal -8 binary64) z)))
(.f64 (.f64 x (/.f64 y #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (*.f64 x y) #s(literal -8 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 x y) #s(literal -1/8 binary64)))
(.f64 (/.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) z)) #s(literal -8 binary64))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (/.f64 x #s(literal -1/8 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/8 binary64)))
(.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 #s(literal -8 binary64) x))
(*.f64 (/.f64 x (/.f64 z #s(literal 8 binary64))) y)
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z #s(literal 8 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) z) (/.f64 y #s(literal -1/8 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) 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 y #s(literal -1/8 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) z))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 y #s(literal -1/8 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/8 binary64)))
(.f64 (/.f64 (.f64 x y) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (/.f64 z #s(literal 8 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 z #s(literal 8 binary64)) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 z #s(literal 8 binary64)) y) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 8 binary64) x) (/.f64 y z))
(.f64 (.f64 #s(literal 8 binary64) y) (/.f64 x z))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 z #s(literal 8 binary64))))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 z #s(literal 8 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z))) #s(literal -8 binary64))
(.f64 (/.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -8 binary64) z))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal -8 binary64) z))

simplify217.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2646×	`-lowering-.f32`
2646×	`-lowering-.f64`
2238×	`fma-lowering-fma.f32`
2238×	`fma-lowering-fma.f64`
2208×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1030
1	228	1030
2	702	1030
3	1746	1030
4	3630	1030
5	7250	1030
0	8571	1030

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval76.0ms (1.4%)

Compiler: Compiled 12976 to 1228 computations (90.5% saved)

prune65.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	652	2	654
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	653	5	658

Accuracy

100.0%

Counts

658 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.7%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))) (/.f64 #s(literal -16 binary64) z))
▶	50.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	51.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	50.3%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 50 to 39 computations (22% saved)

simplify195.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

2466×	`-lowering-.f32`
2466×	`-lowering-.f64`
2088×	`fnmadd-define`
1890×	`fma-lowering-fma.f32`
1890×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	33	55
2	69	53
3	205	52
4	742	51
5	2668	49
6	5990	49
0	8297	49

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize50.0ms (0.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -16 binary64) z)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y)))
✓	accuracy	91.9%	(/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))
✓	accuracy	90.4%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))) (/.f64 #s(literal -16 binary64) z))
✓	accuracy	100.0%	(/.f64 #s(literal -8 binary64) z)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))

Results

35.0ms

256×

valid

Compiler

Compiled 61 to 17 computations (72.1% saved)

Precisions

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

ival-div: 12.0ms (84.3% of total)

ival-sub: 1.0ms (7% of total)

const: 1.0ms (7% of total)

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

series16.0ms (0.3%)

Counts

7 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(/ (/ z 8) y)
3.0ms	x	@	-inf	(/ (- 2 (/ x (/ (/ z 8) y))) (/ -16 z))
0.0ms	y	@	0	(/ (/ z 8) y)
0.0ms	z	@	0	(/ (- 2 (/ x (/ (/ z 8) y))) (/ -16 z))
0.0ms	x	@	0	(/ (- 2 (/ x (/ (/ z 8) y))) (/ -16 z))

rewrite510.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5524×	`-lowering-.f32`
5524×	`-lowering-.f64`
4456×	`/-lowering-/.f32`
4456×	`/-lowering-/.f64`
794×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	96	43
2	696	40
0	8396	40

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 619

Calls

Call 1

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

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

simplify218.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2534×	`-lowering-.f32`
2534×	`-lowering-.f64`
2134×	`fma-lowering-fma.f32`
2134×	`fma-lowering-fma.f64`
1998×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	1015
1	221	988
2	614	988
3	1438	988
4	3148	988
5	6659	988
0	8051	988

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval122.0ms (2.2%)

Compiler: Compiled 17485 to 1936 computations (88.9% saved)

prune118.0ms (2.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	786	1	787
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	786	6	792

Accuracy

100.0%

Counts

792 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.7%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))) (/.f64 #s(literal -16 binary64) z))
✓	50.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶	88.0%	(.f64 (-.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 (/.f64 x z) #s(literal -2 binary64)))) z)
✓	51.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	50.3%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 64 to 49 computations (23.4% saved)

simplify174.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2296×	`-lowering-.f32`
2296×	`-lowering-.f64`
2104×	`/-lowering-/.f32`
2104×	`/-lowering-/.f64`
1736×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	21	40
2	58	38
3	175	38
4	600	36
5	1461	36
6	3186	36
7	5473	36
0	8415	36

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize45.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal -1/8 binary64) (*.f64 y (/.f64 (/.f64 x z) #s(literal -2 binary64))))
✓	accuracy	93.8%	(*.f64 y (/.f64 (/.f64 x z) #s(literal -2 binary64)))
✓	accuracy	90.6%	(.f64 (-.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 (/.f64 x z) #s(literal -2 binary64)))) z)

Results

29.0ms

256×

valid

Compiler

Compiled 44 to 11 computations (75% saved)

Precisions

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

ival-div: 9.0ms (62.2% of total)

ival-mult: 3.0ms (20.7% of total)

ival-sub: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Counts

5 → 156

Calls

Call 1

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(* (- -1/8 (* y (/ (/ x z) -2))) z)
1.0ms	y	@	0	(* (- -1/8 (* y (/ (/ x z) -2))) z)
1.0ms	x	@	0	(/ (/ x z) -2)
0.0ms	z	@	0	(* (- -1/8 (* y (/ (/ x z) -2))) z)
0.0ms	x	@	-inf	(* (- -1/8 (* y (/ (/ x z) -2))) z)

rewrite267.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3004×	`-lowering-.f32`
3004×	`-lowering-.f64`
2176×	`/-lowering-/.f32`
2176×	`/-lowering-/.f64`
1680×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	53	35
2	361	33
3	5004	33
0	8072	33

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 234

Calls

Call 1

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

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

simplify167.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2996×	`-lowering-.f32`
2996×	`-lowering-.f64`
1346×	`fmsub-define`
1100×	`fmm-def`
1014×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	952
1	216	952
2	659	952
3	1868	952
4	4496	952
0	8107	952

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval56.0ms (1%)

Compiler: Compiled 8320 to 936 computations (88.8% saved)

prune62.0ms (1.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	390	0	390
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	390	6	396

Accuracy

100.0%

Counts

396 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.7%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 x (/.f64 (/.f64 z #s(literal 8 binary64)) y))) (/.f64 #s(literal -16 binary64) z))
✓	50.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	88.0%	(.f64 (-.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 (/.f64 x z) #s(literal -2 binary64)))) z)
✓	51.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	50.3%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 128 to 82 computations (35.9% saved)

regimes22.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
3.0ms	(/.f64 z #s(literal 8 binary64))
3.0ms	z
3.0ms	x
3.0ms	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)

regimes9.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

4 calls:

3.0ms	z
2.0ms	x
2.0ms	(*.f64 x y)
2.0ms	y

Results

Accuracy	Segments	Branch
74.7%	3	`x`
77.1%	3	`y`
71.0%	3	`z`
82.9%	3	`(*.f64 x y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (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:

1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.3%	1	`z`
50.3%	1	`x`
50.3%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch19.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.41665113533262e-42	1.8422140422944672e-41
11.0ms	-8.62351548746511e-67	-1.6279344837573679e-68

Results

11.0ms

192×

valid

Compiler

Compiled 186 to 158 computations (15.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (52.5% of total)

ival-sub: 1.0ms (26.2% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-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	19	33
1	27	33
2	36	33
3	42	33
4	47	33
5	49	33

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x y) #s(literal -7740321367461889/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 6080942306155847/392318858461667547739736838950479151006397215279002157056 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
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -7740321367461889/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 6080942306155847/392318858461667547739736838950479151006397215279002157056 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -7740321367461889/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (.f64 (.f64 x y) #s(literal 1/2 binary64)) (if (<=.f64 (.f64 x y) #s(literal 6080942306155847/392318858461667547739736838950479151006397215279002157056 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 (*.f64 x y) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))

soundness361.0ms (6.6%)

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 60 to 35 computations (41.7% saved)

preprocess74.0ms (1.3%)

Remove: (sort x y)
Compiler: Compiled 176 to 110 computations (37.5% saved)

analyze1.0ms (0%)

sample787.0ms (14.3%)

preprocess162.0ms (2.9%)

explain192.0ms (3.5%)

eval0.0ms (0%)

prune5.0ms (0.1%)

simplify50.0ms (0.9%)

localize42.0ms (0.8%)

series7.0ms (0.1%)

rewrite529.0ms (9.6%)

simplify136.0ms (2.5%)

eval37.0ms (0.7%)

prune62.0ms (1.1%)

simplify248.0ms (4.5%)

localize53.0ms (1%)

series27.0ms (0.5%)

rewrite282.0ms (5.1%)

simplify217.0ms (4%)

eval76.0ms (1.4%)

prune65.0ms (1.2%)

simplify195.0ms (3.6%)

localize50.0ms (0.9%)

series16.0ms (0.3%)

rewrite510.0ms (9.3%)

simplify218.0ms (4%)

eval122.0ms (2.2%)

prune118.0ms (2.2%)

simplify174.0ms (3.2%)

localize45.0ms (0.8%)

series11.0ms (0.2%)

rewrite267.0ms (4.9%)

simplify167.0ms (3%)

eval56.0ms (1%)

prune62.0ms (1.1%)

regimes22.0ms (0.4%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch19.0ms (0.3%)

simplify10.0ms (0.2%)

soundness361.0ms (6.6%)

preprocess74.0ms (1.3%)

end0.0ms (0%)

Profiling