Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

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

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)

sample880.0ms (34.2%)

Results

540.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

ival-mult: 191.0ms (65.2% of total)

ival-sub: 87.0ms (29.7% of total)

const: 11.0ms (3.8% of total)

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

Bogosity

preprocess93.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

996×	`fnmadd-define`
842×	`fnmsub-define`
830×	`fmsub-define`
720×	`fma-define`
564×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	76
1	95	73
2	239	63
3	694	60
4	1561	60
5	2893	60
6	3333	60
7	3369	60
8	3369	60
9	3369	60
0	7	7
1	16	7
2	46	6
3	110	6
4	170	6
5	268	6
6	489	6
7	646	6
8	858	6
9	1550	6
10	1855	6
11	1901	6
0	1901	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(- x (* (* y 4) z))
(fma y (* z -4) x)
(- (neg x) (* (* y 4) z))
(fnmsub y (* 4 z) x)
(- x (* (* (neg y) 4) z))
(fma y (* 4 z) x)
(- x (* (* y 4) (neg z)))
(fma y (* 4 z) x)
(neg (- (neg x) (* (* y 4) z)))
(fma y (* 4 z) x)
(neg (- x (* (* (neg y) 4) z)))
(fnmsub y (* 4 z) x)
(neg (- x (* (* y 4) (neg z))))
(fnmsub y (* 4 z) x)
(- y (* (* x 4) z))
(fma x (* z -4) y)
(- z (* (* y 4) x))
(fma x (* y -4) z)
(- x (* (* z 4) y))
(fma y (* z -4) x)

Symmetry

(sort y z)

explain94.0ms (3.7%)

FPErrors

Click to see full error table

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

Results

40.0ms

512×

valid

Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 15.0ms (80.8% of total)

ival-sub: 3.0ms (16.2% of total)

const: 1.0ms (5.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify37.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

564×	`fma-define`
564×	`fnmadd-define`
480×	`sum3-define`
324×	`fma-lowering-fma.f32`
324×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	16	19
2	46	18
3	110	18
4	170	18
5	268	18
6	489	18
7	646	18
8	858	18
9	1550	18
10	1855	18
11	1901	18
0	1901	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize29.0ms (1.1%)

Localize:

Found 3 expressions of interest:

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

Results

17.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (69.9% of total)

ival-sub: 1.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite307.0ms (11.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3588×	`-lowering-.f32`
3588×	`-lowering-.f64`
1700×	`unpow-prod-down`
1542×	`pow-lowering-pow.f64`
1542×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	29	15
2	223	14
3	2513	14
0	8135	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 98

Calls

Call 1

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

Outputs
(+.f64 x (.f64 y (.f64 z #s(literal -4 binary64))))
(+.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (*.f64 z #s(literal -4 binary64)))))) #s(literal -1 binary64)))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) x))
(-.f64 (+.f64 x #s(literal 0 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 x (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))))))
(fma.f64 x (/.f64 x (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))))
(fma.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (-.f64 (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))) (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))))) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) x))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))))
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (+.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) (neg.f64 x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))
(/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))))
(/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (neg.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (+.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) #s(literal 262144 binary64)))) (.f64 (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (*.f64 z z)) #s(literal 64 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 4096 binary64))))) (.f64 (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 4096 binary64))))) (.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (*.f64 z z) #s(literal 16 binary64)))))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))) (.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (+.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (+.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (-.f64 (.f64 x x) (.f64 x (.f64 y (.f64 z #s(literal -4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (.f64 (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))))) (.f64 (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))) (.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) #s(literal 1 binary64)) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) #s(literal 262144 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 4096 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 4096 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))) (neg.f64 (+.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (/.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))))))
(/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 x x)) (-.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (/.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))) (+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) #s(literal 262144 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (*.f64 z z)) #s(literal 64 binary64)))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 4096 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 4096 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (*.f64 z z) #s(literal 16 binary64))))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (+.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))) (.f64 (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))))
(.f64 (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))) (/.f64 (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64)))) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))))))
(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))
(.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (.f64 (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))
(.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (/.f64 (+.f64 x (.f64 y (.f64 z #s(literal -4 binary64)))) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))
(.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z)))))))))
(.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (neg.f64 x))))
(.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (*.f64 z #s(literal -4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (*.f64 z z)) #s(literal 64 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (*.f64 z z)) #s(literal 64 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (*.f64 #s(literal 4 binary64) z))))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (-.f64 (.f64 y (*.f64 z #s(literal -4 binary64))) x)))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))))) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (-.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))) (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))) (+.f64 x (.f64 y (*.f64 z #s(literal -4 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (-.f64 (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))) (+.f64 (.f64 x x) (.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) #s(literal 262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (*.f64 z z)) #s(literal 64 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (.f64 (.f64 #s(literal 4 binary64) z) (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 4096 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 64 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 4096 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (+.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (*.f64 z z) #s(literal 16 binary64)))))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (.f64 z z) #s(literal 16 binary64)))))))
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 z (.f64 y #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 4 binary64) z) y)
(.f64 (.f64 y z) #s(literal 4 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)

simplify352.0ms (13.7%)

Algorithm

1×	egg-herbie

Rules

2304×	`sum4-define`
1968×	`fnmsub-define`
1950×	`-lowering-.f32`
1950×	`-lowering-.f64`
960×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	374
1	111	347
2	286	347
3	1011	347
4	3761	347
5	7285	347
0	8115	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval18.0ms (0.7%)

Compiler: Compiled 4823 to 299 computations (93.8% saved)

prune37.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	168	2	170
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	168	3	171

Accuracy

100.0%

Counts

171 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
▶	46.6%	(.f64 #s(literal -4 binary64) (.f64 y z))
▶	55.5%	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 y z))

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	10	12
2	17	12
3	19	12
0	19	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.9%)

Localize:

Found 2 expressions of interest:

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

Results

16.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-mult: 4.0ms (90.4% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (* -4 (* y z))>
#<alt (* y z)>

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* -4 (* y z))
0.0ms	z	@	0	(* -4 (* y z))
0.0ms	z	@	-inf	(* y z)
0.0ms	y	@	-inf	(* y z)
0.0ms	y	@	-inf	(* -4 (* y z))

rewrite13.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	9	8
2	16	8
3	18	8
0	18	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 8

Calls

Call 1

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

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

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	192
1	9	192
2	16	192
3	18	192
0	18	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval6.0ms (0.2%)

Compiler: Compiled 283 to 15 computations (94.7% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	56	3	59

Accuracy

100.0%

Counts

59 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	46.6%	(.f64 #s(literal -4 binary64) (.f64 y z))
✓	55.5%	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes12.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	x
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	z
2.0ms	y

Results

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

Compiler

Compiled 36 to 27 computations (25% saved)

regimes5.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
75.0%	3	`x`
77.5%	3	`y`
77.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
55.5%	1	`x`
55.5%	1	`z`
55.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch26.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.709627625474252e-93	4.1639640338148676e-83
9.0ms	-8.630067294935898e+107	-1.076188445848922e+107

Results

15.0ms

256×

valid

Compiler

Compiled 240 to 188 computations (21.7% saved)

Precisions

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

ival-sub: 4.0ms (52.2% of total)

ival-mult: 4.0ms (52.2% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	23
1	28	23
2	46	23
3	56	23
4	64	23
5	67	23

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -194999999999999992289070110640768748684217423941992865501781497985194473507595399037240264860352610423537664 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)) (if (<=.f64 y #s(literal 1401207495564117/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) x (*.f64 #s(literal -4 binary64) (*.f64 y z))))

Outputs

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

(if (<=.f64 y #s(literal -194999999999999992289070110640768748684217423941992865501781497985194473507595399037240264860352610423537664 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)) (if (<=.f64 y #s(literal 1401207495564117/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) x (*.f64 #s(literal -4 binary64) (*.f64 y z))))

soundness548.0ms (21.3%)

Rules

2304×	`sum4-define`
1968×	`fnmsub-define`
1950×	`-lowering-.f32`
1950×	`-lowering-.f64`
960×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	374
1	111	347
2	286	347
3	1011	347
4	3761	347
5	7285	347
0	8115	347

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 46 to 28 computations (39.1% saved)

preprocess54.0ms (2.1%)

Remove: (sort y z)
Compiler: Compiled 120 to 74 computations (38.3% saved)

Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

sample880.0ms (34.2%)

preprocess93.0ms (3.6%)

explain94.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (1.4%)

localize29.0ms (1.1%)

series6.0ms (0.2%)

rewrite307.0ms (11.9%)

simplify352.0ms (13.7%)

eval18.0ms (0.7%)

prune37.0ms (1.4%)

simplify6.0ms (0.2%)

localize22.0ms (0.9%)

series2.0ms (0.1%)

rewrite13.0ms (0.5%)

simplify7.0ms (0.3%)

eval6.0ms (0.2%)

prune3.0ms (0.1%)

regimes12.0ms (0.5%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch26.0ms (1%)

simplify11.0ms (0.4%)

soundness548.0ms (21.3%)

preprocess54.0ms (2.1%)

end0.0ms (0%)

Profiling