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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 18 to 14 computations (22.2% 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-add: 0.0ms (0% of total)

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

const: 0.0ms (0% of total)

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

sample1.2s (15.9%)

Results

869.0ms	8252×	0	valid
1.0ms	3×	1	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-div: 179.0ms (38.6% of total)

ival-mult: 140.0ms (30.2% of total)

ival-sub: 77.0ms (16.6% of total)

ival-add: 45.0ms (9.7% of total)

const: 20.0ms (4.3% of total)

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

Bogosity

preprocess474.0ms (6.4%)

Algorithm

2×	egg-herbie

Rules

3440×	`sum5-define`
2200×	`sum5-define`
1628×	`sum4-define`
1558×	`fnmadd-define`
1172×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	160
1	184	141
2	535	136
3	1603	135
4	5830	135
5	6582	135
6	6777	135
7	6802	135
8	6811	135
9	6811	135
0	14	10
1	27	9
2	62	9
3	133	9
4	288	9
5	621	9
6	1517	9
7	3116	9
8	4996	9
9	5263	9
10	5271	9
0	5271	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
(fnmsub x -1/8 (fnmsub z (* y -1/2) t))
(+ (- (* (/ 1 8) (neg x)) (/ (* y z) 2)) t)
(fnmsub 1/8 x (fnmsub z (* y -1/2) t))
(+ (- (* (/ 1 8) x) (/ (* (neg y) z) 2)) t)
(fnmsub x -1/8 (fnmsub y (* z 1/2) t))
(+ (- (* (/ 1 8) x) (/ (* y (neg z)) 2)) t)
(fnmsub x -1/8 (fnmsub y (* z 1/2) t))
(+ (- (* (/ 1 8) x) (/ (* y z) 2)) (neg t))
(fnmsub x -1/8 (fma y (* z 1/2) t))
(neg (+ (- (* (/ 1 8) (neg x)) (/ (* y z) 2)) t))
(fnmsub x -1/8 (fma z (* y -1/2) t))
(neg (+ (- (* (/ 1 8) x) (/ (* (neg y) z) 2)) t))
(fnmsub 1/8 x (fma y (* z 1/2) t))
(neg (+ (- (* (/ 1 8) x) (/ (* y (neg z)) 2)) t))
(fnmsub 1/8 x (fma y (* z 1/2) t))
(neg (+ (- (* (/ 1 8) x) (/ (* y z) 2)) (neg t)))
(fnmsub 1/8 x (fnmsub y (* z 1/2) t))
(+ (- (* (/ 1 8) y) (/ (* x z) 2)) t)
(fmsub 1/8 y (fmsub x (* z 1/2) t))
(+ (- (* (/ 1 8) z) (/ (* y x) 2)) t)
(fmsub 1/8 z (fmsub x (* y 1/2) t))
(+ (- (* (/ 1 8) t) (/ (* y z) 2)) x)
(fmsub 1/8 t (fnmsub y (* z -1/2) x))
(+ (- (* (/ 1 8) x) (/ (* z y) 2)) t)
(fnmsub x -1/8 (fnmsub z (* y -1/2) t))
(+ (- (* (/ 1 8) x) (/ (* t z) 2)) y)
(fnmsub x -1/8 (fnmsub z (* t -1/2) y))
(+ (- (* (/ 1 8) x) (/ (* y t) 2)) z)
(fma y (* t -1/2) (fma 1/8 x z))

Symmetry

(sort y z)

explain151.0ms (2%)

FPErrors

Click to see full error table

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

Results

86.0ms

512×

valid

Compiler

Compiled 121 to 41 computations (66.1% saved)

Precisions

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

ival-div: 14.0ms (45.8% of total)

ival-mult: 8.0ms (26.2% of total)

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

ival-sub: 3.0ms (9.8% of total)

const: 1.0ms (3.3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (+.f64 t (/.f64 (.f64 y z) #s(literal -2 binary64))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

36×	`fma-lowering-fma.f32`
36×	`fma-define`
36×	`fma-lowering-fma.f64`
24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	20	32
2	37	32
3	52	32
4	56	32
0	56	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize86.0ms (1.2%)

Localize:

Found 4 expressions of interest:

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

Results

72.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 27.0ms (55.6% of total)

ival-div: 19.0ms (39.1% of total)

ival-add: 3.0ms (6.2% of total)

const: 1.0ms (2.1% of total)

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

series8.0ms (0.1%)

Counts

5 → 144

Calls

Call 1

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

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

36 calls:

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

rewrite384.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4456×	`-lowering-.f32`
4456×	`-lowering-.f64`
2758×	`/-lowering-/.f32`
2758×	`/-lowering-/.f64`
1424×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	55	26
2	536	26
3	7590	26
0	8350	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 211

Calls

Call 1

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

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

simplify170.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2522×	`-lowering-.f32`
2522×	`-lowering-.f64`
1584×	`fnmadd-define`
1012×	`times-frac`
998×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	883
1	278	853
2	872	823
3	2425	823
4	7256	811
0	8132	811

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

eval38.0ms (0.5%)

Compiler: Compiled 9406 to 765 computations (91.9% saved)

prune42.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	348	7	355
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	348	8	356

Accuracy

100.0%

Counts

356 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(/.f64 (-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))) (-.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t)))
▶	64.1%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
✓	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (+.f64 t (/.f64 (.f64 y z) #s(literal -2 binary64))))
	65.9%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
▶	70.0%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
▶	31.1%	(*.f64 #s(literal 1/8 binary64) x)
▶	36.5%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
▶	35.0%	t

Compiler

Compiled 197 to 133 computations (32.5% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

640×	`fnmadd-define`
484×	`fnmsub-define`
484×	`fmsub-define`
456×	`fma-lowering-fma.f32`
456×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	25	46
2	45	45
3	68	45
4	85	45
5	137	45
6	238	45
7	361	45
8	494	45
9	837	45
10	1172	45
11	1524	45
12	1911	45
13	2080	45
14	2144	45
0	2144	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize82.0ms (1.1%)

Localize:

Found 8 expressions of interest:

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

Results

64.0ms

256×

valid

Compiler

Compiled 52 to 14 computations (73.1% saved)

Precisions

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

ival-mult: 9.0ms (72.4% of total)

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

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

const: 1.0ms (8% of total)

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

series2.0ms (0%)

Counts

6 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(- t (* x -1/8))
0.0ms	x	@	0	(- t (* x -1/8))
0.0ms	x	@	0	(* x -1/8)
0.0ms	t	@	inf	(- t (* x -1/8))
0.0ms	t	@	-inf	(- t (* x -1/8))

rewrite286.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4560×	`-lowering-.f32`
4560×	`-lowering-.f64`
1652×	`pow-lowering-pow.f64`
1652×	`pow-lowering-pow.f32`
1640×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	48	25
2	376	24
3	4320	24
0	8898	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 165

Calls

Call 1

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

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

simplify178.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2144×	`-lowering-.f32`
2144×	`-lowering-.f64`
2120×	`fnmadd-define`
1862×	`fmsub-define`
1472×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	584
1	184	539
2	505	539
3	1458	539
4	4217	539
0	8320	539

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval38.0ms (0.5%)

Compiler: Compiled 6349 to 486 computations (92.3% saved)

prune32.0ms (0.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	362	0	362
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	362	8	370

Accuracy

100.0%

Counts

370 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(/.f64 (-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))) (-.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t)))
✓	64.1%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
✓	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (+.f64 t (/.f64 (.f64 y z) #s(literal -2 binary64))))
▶	65.9%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	70.0%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
✓	31.1%	(*.f64 #s(literal 1/8 binary64) x)
✓	36.5%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	35.0%	t

Compiler

Compiled 106 to 72 computations (32.1% saved)

simplify232.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 y (.f64 #s(literal 1/4 binary64) (*.f64 y z)))
✓	cost-diff	(.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z))))
✓	cost-diff	(-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t)))
✓	cost-diff	(/.f64 (-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))) (-.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t)))
✓	cost-diff	(*.f64 y z)
✓	cost-diff	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	cost-diff	(*.f64 #s(literal 1/8 binary64) x)
✓	cost-diff	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))

Rules

1818×	`--lowering--.f32`
1818×	`--lowering--.f64`
1550×	`-lowering-.f32`
1550×	`-lowering-.f64`
1276×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	124
1	62	122
2	197	113
3	653	112
4	2292	112
5	7351	112
0	8406	112

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* 1/8 x) (* -1/2 (* y z)))
(* 1/8 x)
1/8
x
(* -1/2 (* y z))
-1/2
(* y z)
y
z
(/ (- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t))) (- (/ y (/ -2 z)) (+ (* 1/8 x) t)))
(- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t)))
(* z (* y (* 1/4 (* y z))))
z
(* y (* 1/4 (* y z)))
y
(* 1/4 (* y z))
1/4
(* y z)
(* (+ (* 1/8 x) t) (+ (* 1/8 x) t))
(+ (* 1/8 x) t)
(* 1/8 x)
1/8
x
t
(- (/ y (/ -2 z)) (+ (* 1/8 x) t))
(/ y (/ -2 z))
(/ -2 z)
-2

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

localize105.0ms (1.4%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal -2 binary64) z))
✓	accuracy	94.3%	(.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z))))
✓	accuracy	88.1%	(-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t)))
✓	accuracy	46.8%	(/.f64 (-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))) (-.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 y z))

Results

76.0ms

256×

valid

Compiler

Compiled 153 to 23 computations (85% saved)

Precisions

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

ival-mult: 13.0ms (52.8% of total)

ival-div: 5.0ms (20.3% of total)

ival-add: 3.0ms (12.2% of total)

ival-sub: 2.0ms (8.1% of total)

const: 1.0ms (4.1% of total)

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

series27.0ms (0.4%)

Counts

9 → 264

Calls

Call 1

Inputs
#<alt (+ (* 1/8 x) (* -1/2 (* y z)))>
#<alt (* 1/8 x)>
#<alt (* -1/2 (* y z))>
#<alt (* y z)>
#<alt (/ (- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t))) (- (/ y (/ -2 z)) (+ (* 1/8 x) t)))>
#<alt (- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t)))>
#<alt (* z (* y (* 1/4 (* y z))))>
#<alt (* y (* 1/4 (* y z)))>
#<alt (/ y (/ -2 z))>

Outputs
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* 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)>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))>
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))>
#<alt (* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))>
#<alt (+ t (* 1/8 x))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))>
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))>
#<alt (* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))>
#<alt (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (- (* -1/2 (* y z)) t))>
#<alt (- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) t))) (* x (- (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))))) (/ (pow t 2) (- (* -1/2 (* y z)) t)))>
#<alt (- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) t))) (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (- (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))) (- (* -1/2 (* y z)) t))) (* 1/64 (/ 1 (- (* -1/2 (* y z)) t)))))) (* -1/4 (/ t (- (* -1/2 (* y z)) t)))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))))) (/ (pow t 2) (- (* -1/2 (* y z)) t)))>
#<alt (- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) t))) (* x (- (+ (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* x (- (* -1/8 (/ (* x (+ (* -1/8 (/ (- (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))) (- (* -1/2 (* y z)) t))) (* 1/64 (/ 1 (- (* -1/2 (* y z)) t))))) (- (* -1/2 (* y z)) t))) (+ (* -1/8 (/ (- (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))) (- (* -1/2 (* y z)) t))) (* 1/64 (/ 1 (- (* -1/2 (* y z)) t))))))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))))) (/ (pow t 2) (- (* -1/2 (* y z)) t)))>
#<alt (* 1/8 x)>
#<alt (* x (- (+ 1/8 (* 2 (/ t x))) (* -1 (/ (- (* -1/2 (* y z)) t) x))))>
#<alt (* x (- (+ 1/8 (+ (* -8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow x 2))) (* 2 (/ t x)))) (+ (* -8 (/ (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* y z)) t) x)))))>
#<alt (* x (- (+ 1/8 (+ (* -8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow x 2))) (+ (* 2 (/ t x)) (* 8 (/ (* (- (* -8 (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))) (* -8 (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))))) (- (* -1/2 (* y z)) t)) (pow x 3)))))) (+ (* -8 (/ (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* y z)) t) x)))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 8 (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))) (* 8 (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))))) x)) (* 2 t)) (* -1 (- (* -1/2 (* y z)) t))) x)) 1/8)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 8 (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))) (* 8 (/ (* (- (* -1/2 (* y z)) t) (- (* 8 (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))) (* 8 (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t))))))) x))) (* 8 (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))))) x)) (* 2 t)) (* -1 (- (* -1/2 (* y z)) t))) x)) 1/8)))>
#<alt (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (- (* -1/2 (* y z)) (* 1/8 x)))>
#<alt (- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) (* 1/8 x)))) (* t (- (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))))) (* 1/64 (/ (pow x 2) (- (* -1/2 (* y z)) (* 1/8 x)))))>
#<alt (- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) (* 1/8 x)))) (* t (- (+ (* -1 (* t (+ (* -1 (/ (- (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))) (- (* -1/2 (* y z)) (* 1/8 x)))) (/ 1 (- (* -1/2 (* y z)) (* 1/8 x)))))) (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x))))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))))) (* 1/64 (/ (pow x 2) (- (* -1/2 (* y z)) (* 1/8 x)))))>
#<alt (- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) (* 1/8 x)))) (* t (- (+ (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* t (- (* -1 (* t (+ (* -1 (/ (- (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2))) (/ 1 (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2))))) (+ (* -1 (/ (- (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))) (- (* -1/2 (* y z)) (* 1/8 x)))) (/ 1 (- (* -1/2 (* y z)) (* 1/8 x))))))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))))) (* 1/64 (/ (pow x 2) (- (* -1/2 (* y z)) (* 1/8 x)))))>
#<alt t>
#<alt (* t (- (+ 1 (* 1/4 (/ x t))) (* -1 (/ (- (* -1/2 (* y z)) (* 1/8 x)) t))))>
#<alt (* t (- (+ 1 (+ (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow t 2))) (* 1/4 (/ x t)))) (+ (* -1 (/ (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))) (pow t 2))) (* -1 (/ (- (* -1/2 (* y z)) (* 1/8 x)) t)))))>
#<alt (* t (- (+ 1 (+ (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow t 2))) (+ (* 1/4 (/ x t)) (/ (* (- (* -1 (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))) (* -1 (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))))) (- (* -1/2 (* y z)) (* 1/8 x))) (pow t 3))))) (+ (* -1 (/ (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))) (pow t 2))) (* -1 (/ (- (* -1/2 (* y z)) (* 1/8 x)) t)))))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x)))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (+ (* 1/64 (pow x 2)) (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))))) t)) (* 1/4 x)) (* -1 (- (* -1/2 (* y z)) (* 1/8 x)))) t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow y 2) (pow z 2))) (/ (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 (* (pow y 2) (pow z 2))) (+ (* 1/64 (pow x 2)) (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x)))))))) t)) (+ (* 1/64 (pow x 2)) (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))))) t)) (* 1/4 x)) (* -1 (- (* -1/2 (* y z)) (* 1/8 x)))) t)) 1)))>
#<alt (* -1 (pow (+ t (* 1/8 x)) 2))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* -1 (pow (+ t (* 1/8 x)) 2))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))>
#<alt (- (+ (* -1/4 (* t x)) (* 1/4 (* (pow y 2) (pow z 2)))) (pow t 2))>
#<alt (- (+ (* 1/4 (* (pow y 2) (pow z 2))) (* x (- (* -1/64 x) (* 1/4 t)))) (pow t 2))>
#<alt (- (+ (* 1/4 (* (pow y 2) (pow z 2))) (* x (- (* -1/64 x) (* 1/4 t)))) (pow t 2))>
#<alt (* -1/64 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/4 (/ t x)) 1/64))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ 1/64 (+ (* 1/4 (/ t x)) (/ (pow t 2) (pow x 2))))))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ 1/64 (+ (* 1/4 (/ t x)) (/ (pow t 2) (pow x 2))))))>
#<alt (* -1/64 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/4 (/ t x)) 1/64))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) x)) (* -1/4 t)) x)) 1/64))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) x)) (* -1/4 t)) x)) 1/64))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))>
#<alt (- (+ (* -1/4 (* t x)) (* 1/4 (* (pow y 2) (pow z 2)))) (* 1/64 (pow x 2)))>
#<alt (- (+ (* 1/4 (* (pow y 2) (pow z 2))) (* t (- (* -1 t) (* 1/4 x)))) (* 1/64 (pow x 2)))>
#<alt (- (+ (* 1/4 (* (pow y 2) (pow z 2))) (* t (- (* -1 t) (* 1/4 x)))) (* 1/64 (pow x 2)))>
#<alt (* -1 (pow t 2))>
#<alt (* (pow t 2) (- (* -1/4 (/ x t)) 1))>
#<alt (* (pow t 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (+ 1 (+ (* 1/64 (/ (pow x 2) (pow t 2))) (* 1/4 (/ x t))))))>
#<alt (* (pow t 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (+ 1 (+ (* 1/64 (/ (pow x 2) (pow t 2))) (* 1/4 (/ x t))))))>
#<alt (* -1 (pow t 2))>
#<alt (* (pow t 2) (- (* -1/4 (/ x t)) 1))>
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) t)) (* -1/4 x)) t)) 1))>
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) t)) (* -1/4 x)) t)) 1))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* 1/4 (* (pow y 2) z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(* y (* 1/4 (* y z)))
2.0ms	y	@	inf	(/ (- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t))) (- (/ y (/ -2 z)) (+ (* 1/8 x) t)))
2.0ms	z	@	inf	(/ (- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t))) (- (/ y (/ -2 z)) (+ (* 1/8 x) t)))
2.0ms	t	@	0	(/ (- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t))) (- (/ y (/ -2 z)) (+ (* 1/8 x) t)))
1.0ms	x	@	0	(/ (- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t))) (- (/ y (/ -2 z)) (+ (* 1/8 x) t)))

rewrite487.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4488×	`-lowering-.f32`
4488×	`-lowering-.f64`
4166×	`/-lowering-/.f32`
4166×	`/-lowering-/.f64`
1940×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	79
1	135	58
2	1494	57
0	8840	57

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 577

Calls

Call 1

Inputs
(+ (* 1/8 x) (* -1/2 (* y z)))
(* 1/8 x)
(* -1/2 (* y z))
(* y z)
(/ (- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t))) (- (/ y (/ -2 z)) (+ (* 1/8 x) t)))
(- (* z (* y (* 1/4 (* y z)))) (* (+ (* 1/8 x) t) (+ (* 1/8 x) t)))
(* z (* y (* 1/4 (* y z))))
(* y (* 1/4 (* y z)))
(/ y (/ -2 z))

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

simplify287.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4386×	`-lowering-.f32`
4386×	`-lowering-.f64`
1720×	`times-frac`
1708×	`+-lowering-+.f64`
1708×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	3709
1	1207	3220
2	4308	3056
0	8090	3056

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* 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)
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (- (* -1/2 (* y z)) t))
(- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) t))) (* x (- (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))))) (/ (pow t 2) (- (* -1/2 (* y z)) t)))
(- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) t))) (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (- (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))) (- (* -1/2 (* y z)) t))) (* 1/64 (/ 1 (- (* -1/2 (* y z)) t)))))) (* -1/4 (/ t (- (* -1/2 (* y z)) t)))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))))) (/ (pow t 2) (- (* -1/2 (* y z)) t)))
(- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) t))) (* x (- (+ (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* x (- (* -1/8 (/ (* x (+ (* -1/8 (/ (- (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))) (- (* -1/2 (* y z)) t))) (* 1/64 (/ 1 (- (* -1/2 (* y z)) t))))) (- (* -1/2 (* y z)) t))) (+ (* -1/8 (/ (- (* -1/4 (/ t (- (* -1/2 (* y z)) t))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))) (- (* -1/2 (* y z)) t))) (* 1/64 (/ 1 (- (* -1/2 (* y z)) t))))))) (* -1/8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow (- (* -1/2 (* y z)) t) 2)))))) (/ (pow t 2) (- (* -1/2 (* y z)) t)))
(* 1/8 x)
(* x (- (+ 1/8 (* 2 (/ t x))) (* -1 (/ (- (* -1/2 (* y z)) t) x))))
(* x (- (+ 1/8 (+ (* -8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow x 2))) (* 2 (/ t x)))) (+ (* -8 (/ (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* y z)) t) x)))))
(* x (- (+ 1/8 (+ (* -8 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) (pow x 2))) (+ (* 2 (/ t x)) (* 8 (/ (* (- (* -8 (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))) (* -8 (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))))) (- (* -1/2 (* y z)) t)) (pow x 3)))))) (+ (* -8 (/ (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))) (pow x 2))) (* -1 (/ (- (* -1/2 (* y z)) t) x)))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 8 (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))) (* 8 (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))))) x)) (* 2 t)) (* -1 (- (* -1/2 (* y z)) t))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 8 (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))) (* 8 (/ (* (- (* -1/2 (* y z)) t) (- (* 8 (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))) (* 8 (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t))))))) x))) (* 8 (* (- (* -1/2 (* y z)) t) (- (* 2 t) (* -1 (- (* -1/2 (* y z)) t)))))) x)) (* 2 t)) (* -1 (- (* -1/2 (* y z)) t))) x)) 1/8)))
(/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (- (* -1/2 (* y z)) (* 1/8 x)))
(- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) (* 1/8 x)))) (* t (- (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))))) (* 1/64 (/ (pow x 2) (- (* -1/2 (* y z)) (* 1/8 x)))))
(- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) (* 1/8 x)))) (* t (- (+ (* -1 (* t (+ (* -1 (/ (- (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))) (- (* -1/2 (* y z)) (* 1/8 x)))) (/ 1 (- (* -1/2 (* y z)) (* 1/8 x)))))) (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x))))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))))) (* 1/64 (/ (pow x 2) (- (* -1/2 (* y z)) (* 1/8 x)))))
(- (+ (* 1/4 (/ (* (pow y 2) (pow z 2)) (- (* -1/2 (* y z)) (* 1/8 x)))) (* t (- (+ (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* t (- (* -1 (* t (+ (* -1 (/ (- (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2))) (/ 1 (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2))))) (+ (* -1 (/ (- (* -1/4 (/ x (- (* -1/2 (* y z)) (* 1/8 x)))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))) (- (* -1/2 (* y z)) (* 1/8 x)))) (/ 1 (- (* -1/2 (* y z)) (* 1/8 x))))))) (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow (- (* -1/2 (* y z)) (* 1/8 x)) 2)))))) (* 1/64 (/ (pow x 2) (- (* -1/2 (* y z)) (* 1/8 x)))))
t
(* t (- (+ 1 (* 1/4 (/ x t))) (* -1 (/ (- (* -1/2 (* y z)) (* 1/8 x)) t))))
(* t (- (+ 1 (+ (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow t 2))) (* 1/4 (/ x t)))) (+ (* -1 (/ (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))) (pow t 2))) (* -1 (/ (- (* -1/2 (* y z)) (* 1/8 x)) t)))))
(* t (- (+ 1 (+ (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) (pow t 2))) (+ (* 1/4 (/ x t)) (/ (* (- (* -1 (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))) (* -1 (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))))) (- (* -1/2 (* y z)) (* 1/8 x))) (pow t 3))))) (+ (* -1 (/ (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))) (pow t 2))) (* -1 (/ (- (* -1/2 (* y z)) (* 1/8 x)) t)))))
t
(* -1 (* t (- (* -1 (/ (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x)))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (+ (* 1/64 (pow x 2)) (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))))) t)) (* 1/4 x)) (* -1 (- (* -1/2 (* y z)) (* 1/8 x)))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow y 2) (pow z 2))) (/ (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 (* (pow y 2) (pow z 2))) (+ (* 1/64 (pow x 2)) (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x)))))))) t)) (+ (* 1/64 (pow x 2)) (* (- (* -1/2 (* y z)) (* 1/8 x)) (- (* 1/4 x) (* -1 (- (* -1/2 (* y z)) (* 1/8 x))))))) t)) (* 1/4 x)) (* -1 (- (* -1/2 (* y z)) (* 1/8 x)))) t)) 1)))
(* -1 (pow (+ t (* 1/8 x)) 2))
(- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))
(- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))
(- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))
(* 1/4 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))
(* 1/4 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow z 2))) (* 1/4 (pow y 2))))
(* -1 (pow (+ t (* 1/8 x)) 2))
(- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))
(- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))
(- (* 1/4 (* (pow y 2) (pow z 2))) (pow (+ t (* 1/8 x)) 2))
(* 1/4 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))
(* 1/4 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (pow (+ t (* 1/8 x)) 2) (pow y 2))) (* 1/4 (pow z 2))))
(- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2))
(- (+ (* -1/4 (* t x)) (* 1/4 (* (pow y 2) (pow z 2)))) (pow t 2))
(- (+ (* 1/4 (* (pow y 2) (pow z 2))) (* x (- (* -1/64 x) (* 1/4 t)))) (pow t 2))
(- (+ (* 1/4 (* (pow y 2) (pow z 2))) (* x (- (* -1/64 x) (* 1/4 t)))) (pow t 2))
(* -1/64 (pow x 2))
(* (pow x 2) (- (* -1/4 (/ t x)) 1/64))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ 1/64 (+ (* 1/4 (/ t x)) (/ (pow t 2) (pow x 2))))))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ 1/64 (+ (* 1/4 (/ t x)) (/ (pow t 2) (pow x 2))))))
(* -1/64 (pow x 2))
(* (pow x 2) (- (* -1/4 (/ t x)) 1/64))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) x)) (* -1/4 t)) x)) 1/64))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (pow t 2)) x)) (* -1/4 t)) x)) 1/64))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(- (+ (* -1/4 (* t x)) (* 1/4 (* (pow y 2) (pow z 2)))) (* 1/64 (pow x 2)))
(- (+ (* 1/4 (* (pow y 2) (pow z 2))) (* t (- (* -1 t) (* 1/4 x)))) (* 1/64 (pow x 2)))
(- (+ (* 1/4 (* (pow y 2) (pow z 2))) (* t (- (* -1 t) (* 1/4 x)))) (* 1/64 (pow x 2)))
(* -1 (pow t 2))
(* (pow t 2) (- (* -1/4 (/ x t)) 1))
(* (pow t 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (+ 1 (+ (* 1/64 (/ (pow x 2) (pow t 2))) (* 1/4 (/ x t))))))
(* (pow t 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (+ 1 (+ (* 1/64 (/ (pow x 2) (pow t 2))) (* 1/4 (/ x t))))))
(* -1 (pow t 2))
(* (pow t 2) (- (* -1/4 (/ x t)) 1))
(* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) t)) (* -1/4 x)) t)) 1))
(* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2))) t)) (* -1/4 x)) t)) 1))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* 1/4 (* (pow y 2) z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))

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

eval154.0ms (2.1%)

Compiler: Compiled 44952 to 2354 computations (94.8% saved)

prune117.0ms (1.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	908	1	909
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	909	8	917

Accuracy

100.0%

Counts

917 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.5%	(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64))) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (+.f64 (.f64 z (/.f64 y #s(literal -2 binary64))) (.f64 #s(literal -1/8 binary64) x)))
✓	64.1%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
✓	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (+.f64 t (/.f64 (.f64 y z) #s(literal -2 binary64))))
✓	65.9%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	70.0%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
✓	31.1%	(*.f64 #s(literal 1/8 binary64) x)
✓	36.5%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	35.0%	t

Compiler

Compiled 98 to 72 computations (26.5% saved)

simplify277.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y z)
✓	cost-diff	(.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64)))
✓	cost-diff	(-.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64))) (.f64 #s(literal 1/64 binary64) (.f64 x x)))
✓	cost-diff	(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64))) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (+.f64 (.f64 z (/.f64 y #s(literal -2 binary64))) (.f64 #s(literal -1/8 binary64) x)))

Rules

2734×	`-lowering-.f32`
2734×	`-lowering-.f64`
2262×	`fnmadd-define`
1718×	`fma-lowering-fma.f32`
1718×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	48	75
2	131	75
3	332	75
4	741	75
5	1439	75
6	2631	75
7	5133	75
0	8154	75

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x))) (+ (* z (/ y -2)) (* -1/8 x)))
(- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x)))
(* (* y z) (* (* y z) 1/4))
(* y z)
y
z
(* (* y z) 1/4)
1/4
(* 1/64 (* x x))
1/64
(* x x)
x
(+ (* z (/ y -2)) (* -1/8 x))
(* z (/ y -2))
(/ y -2)
-2
(* -1/8 x)
-1/8

Outputs
(/ (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x))) (+ (* z (/ y -2)) (* -1/8 x)))
(/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 y (.f64 z (.f64 (.f64 y z) #s(literal -1/4 binary64))))) (+.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 x #s(literal 1/8 binary64))))
(- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x)))
(+.f64 (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))) (.f64 (.f64 x x) #s(literal -1/64 binary64)))
(* (* y z) (* (* y z) 1/4))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* y z)
(*.f64 y z)
y
z
(* (* y z) 1/4)
(.f64 z (.f64 y #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* 1/64 (* x x))
(.f64 #s(literal 1/64 binary64) (.f64 x x))
1/64
#s(literal 1/64 binary64)
(* x x)
(*.f64 x x)
x
(+ (* z (/ y -2)) (* -1/8 x))
(+.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal -1/8 binary64)))
(* z (/ y -2))
(/.f64 (*.f64 y z) #s(literal -2 binary64))
(/ y -2)
(/.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)

localize82.0ms (1.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) x)
✓	accuracy	99.7%	(.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64)))
✓	accuracy	93.6%	(-.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64))) (.f64 #s(literal 1/64 binary64) (.f64 x x)))
✓	accuracy	57.2%	(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64))) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (+.f64 (.f64 z (/.f64 y #s(literal -2 binary64))) (.f64 #s(literal -1/8 binary64) x)))

Results

59.0ms

256×

valid

Compiler

Compiled 97 to 20 computations (79.4% saved)

Precisions

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

ival-mult: 12.0ms (63.2% of total)

ival-div: 4.0ms (21.1% of total)

ival-sub: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

const: 1.0ms (5.3% of total)

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

series7.0ms (0.1%)

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (/ (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x))) (+ (* z (/ y -2)) (* -1/8 x)))>
#<alt (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x)))>
#<alt (* (* y z) (* (* y z) 1/4))>
#<alt (* y z)>
#<alt (* -1/8 x)>

Outputs
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* y (+ (* -1/2 z) (* 1/8 (/ x y))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))>
#<alt (* 1/8 x)>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* z (+ (* -1/2 y) (* 1/8 (/ x z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (+ (* -1/2 (* y z)) (* 1/8 x))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* x (+ 1/8 (* -1/2 (/ (* y z) x))))>
#<alt (* 1/8 x)>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))>
#<alt (* -1/64 (pow x 2))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))>
#<alt (* -1/64 (pow x 2))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))>
#<alt (- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (+ (* -1/64 (pow x 2)) (* 1/4 (* (pow y 2) (pow z 2))))>
#<alt (+ (* -1/64 (pow x 2)) (* 1/4 (* (pow y 2) (pow z 2))))>
#<alt (+ (* -1/64 (pow x 2)) (* 1/4 (* (pow y 2) (pow z 2))))>
#<alt (* -1/64 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))>
#<alt (* -1/64 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))>
#<alt (* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<alt (* 1/4 (* (pow y 2) (pow z 2)))>
#<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)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x))) (+ (* z (/ y -2)) (* -1/8 x)))
1.0ms	y	@	0	(/ (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x))) (+ (* z (/ y -2)) (* -1/8 x)))
1.0ms	x	@	inf	(/ (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x))) (+ (* z (/ y -2)) (* -1/8 x)))
1.0ms	z	@	0	(/ (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x))) (+ (* z (/ y -2)) (* -1/8 x)))
0.0ms	y	@	inf	(/ (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x))) (+ (* z (/ y -2)) (* -1/8 x)))

rewrite622.0ms (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3544×	`-lowering-.f32`
3544×	`-lowering-.f64`
3168×	`/-lowering-/.f32`
3168×	`/-lowering-/.f64`
1812×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	98	41
2	815	30
0	8574	30

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 488

Calls

Call 1

Inputs
(/ (- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x))) (+ (* z (/ y -2)) (* -1/8 x)))
(- (* (* y z) (* (* y z) 1/4)) (* 1/64 (* x x)))
(* (* y z) (* (* y z) 1/4))
(* y z)
(* -1/8 x)

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

simplify303.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

4180×	`-lowering-.f32`
4180×	`-lowering-.f64`
2044×	`fma-lowering-fma.f32`
2044×	`fma-lowering-fma.f64`
1556×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	1020
1	201	877
2	623	821
3	1961	821
4	4291	821
5	7402	821
0	8258	821

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1/64 (pow x 2))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(* 1/4 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(* -1/64 (pow x 2))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(* 1/4 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(* 1/4 (* (pow y 2) (pow z 2)))
(+ (* -1/64 (pow x 2)) (* 1/4 (* (pow y 2) (pow z 2))))
(+ (* -1/64 (pow x 2)) (* 1/4 (* (pow y 2) (pow z 2))))
(+ (* -1/64 (pow x 2)) (* 1/4 (* (pow y 2) (pow z 2))))
(* -1/64 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(* -1/64 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 1/4 (* (pow y 2) (pow z 2)))
(* 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)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)

Outputs
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1/2 (* y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1/64 (pow x 2))
(.f64 x (.f64 x #s(literal -1/64 binary64)))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow y 2) (+ (* -1/64 (/ (pow x 2) (pow y 2))) (* 1/4 (pow z 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* -1/64 (pow x 2))
(.f64 x (.f64 x #s(literal -1/64 binary64)))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(- (* 1/4 (* (pow y 2) (pow z 2))) (* 1/64 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow z 2) (+ (* -1/64 (/ (pow x 2) (pow z 2))) (* 1/4 (pow y 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(+ (* -1/64 (pow x 2)) (* 1/4 (* (pow y 2) (pow z 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(+ (* -1/64 (pow x 2)) (* 1/4 (* (pow y 2) (pow z 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(+ (* -1/64 (pow x 2)) (* 1/4 (* (pow y 2) (pow z 2))))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* -1/64 (pow x 2))
(.f64 x (.f64 x #s(literal -1/64 binary64)))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* -1/64 (pow x 2))
(.f64 x (.f64 x #s(literal -1/64 binary64)))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* (pow x 2) (- (* 1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))) 1/64))
(+.f64 (.f64 x (.f64 x #s(literal -1/64 binary64))) (.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64))))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 1/4 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 y (.f64 z (.f64 z #s(literal 1/4 binary64)))))
(* 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)
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))

eval85.0ms (1.1%)

Compiler: Compiled 34170 to 1605 computations (95.3% saved)

prune96.0ms (1.3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	646	0	646
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	646	8	654

Accuracy

100.0%

Counts

654 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.5%	(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64))) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (+.f64 (.f64 z (/.f64 y #s(literal -2 binary64))) (.f64 #s(literal -1/8 binary64) x)))
✓	64.1%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
✓	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (+.f64 t (/.f64 (.f64 y z) #s(literal -2 binary64))))
✓	65.9%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	70.0%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
✓	31.1%	(*.f64 #s(literal 1/8 binary64) x)
✓	36.5%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	35.0%	t

Compiler

Compiled 214 to 120 computations (43.9% saved)

regimes36.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

Inputs
t
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (+.f64 t (/.f64 (.f64 y z) #s(literal -2 binary64))))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) #s(literal 1/4 binary64))) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (+.f64 (.f64 z (/.f64 y #s(literal -2 binary64))) (.f64 #s(literal -1/8 binary64) x)))
(/.f64 (-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))) (-.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t)))

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

Calls

9 calls:

5.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms	y
4.0ms	t
4.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
4.0ms	x

Results

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

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes16.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	y
3.0ms	t
3.0ms	x
3.0ms	z
3.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
86.7%	3	`x`
87.5%	4	`y`
84.9%	3	`z`
89.5%	3	`t`
89.1%	3	`(*.f64 y z)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.1%	3	`(*.f64 y z)`
72.5%	2	`t`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
74.5%	3	`z`
78.2%	3	`y`
71.9%	5	`x`
81.8%	3	`(*.f64 y z)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes10.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
58.6%	6	`x`
60.6%	4	`t`
56.9%	4	`z`
59.4%	5	`y`
59.3%	5	`(*.f64 y z)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
t
(*.f64 #s(literal 1/8 binary64) x)

Outputs
t
(*.f64 #s(literal 1/8 binary64) x)
t

Calls

3 calls:

2.0ms	t
2.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
38.9%	2	`z`
39.7%	3	`y`
54.1%	3	`t`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
t

Outputs
t

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	t

Results

Accuracy	Segments	Branch
35.0%	1	`y`
35.0%	1	`z`
35.0%	1	`x`
35.0%	1	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.5167373149088157e+38	3.0224577272605564e+41
16.0ms	-7.917078546910198e+72	-4.65976196650852e+70

Results

23.0ms

240×

valid

Compiler

Compiled 400 to 312 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (41.6% of total)

ival-mult: 3.0ms (31.2% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

const: 1.0ms (10.4% of total)

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

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	8.925695782374301e-81	1.1924975860219617e-80
21.0ms	-233894546133159100.0	-6009335553.789988

Results

20.0ms

192×

valid

Compiler

Compiled 264 to 211 computations (20.1% saved)

Precisions

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

ival-mult: 7.0ms (59.2% of total)

ival-div: 3.0ms (25.4% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.2940830585208113e+114	8.784003443975923e+114
24.0ms	-1.1158520684744965e+283	-1.4594045486571796e+233

Results

25.0ms

288×

valid

Compiler

Compiled 348 to 289 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (41.9% of total)

ival-sub: 2.0ms (21% of total)

ival-mult: 2.0ms (21% of total)

ival-add: 1.0ms (10.5% of total)

const: 1.0ms (10.5% of total)

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

bsearch64.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
23.0ms	2.2798827302144562e+77	1.9654114789207544e+87
24.0ms	-5.913980728843025e-24	-1.4980930170542892e-36
13.0ms	-7.917078546910198e+72	-4.65976196650852e+70

Results

40.0ms

432×

valid

Compiler

Compiled 462 to 383 computations (17.1% saved)

Precisions

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

ival-mult: 10.0ms (45.2% of total)

ival-div: 6.0ms (27.1% of total)

ival-sub: 2.0ms (9% of total)

ival-add: 2.0ms (9% of total)

const: 1.0ms (4.5% of total)

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

bsearch60.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	2.2798827302144562e+77	1.9654114789207544e+87
19.0ms	-7.917078546910198e+72	-4.65976196650852e+70

Results

22.0ms

272×

valid

Compiler

Compiled 262 to 223 computations (14.9% saved)

Precisions

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

ival-div: 4.0ms (37% of total)

ival-mult: 4.0ms (37% of total)

ival-sub: 1.0ms (9.3% of total)

ival-add: 1.0ms (9.3% of total)

const: 1.0ms (9.3% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`*-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	51	124
1	73	124
2	85	124
3	91	124
4	95	124
5	96	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 #s(literal 1/8 binary64) x) (+.f64 t (/.f64 (.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 t #s(literal -2100000000000000136991060992552505181349115988754604270400850104669962240 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (if (<=.f64 t #s(literal 1319999999999999962728503297028216848384 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (.f64 y z))) (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))))
(if (<=.f64 (.f64 y z) #s(literal -2800000000000000 binary64)) (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 6194362404170639/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (+.f64 t (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
(if (<=.f64 (.f64 y z) #s(literal -145999999999999993077366285465577775062728881334513584783971463982637687871775577195079144775467652161231147379266692323190175907938801140307126855544064968941731827668959909856226684272813538198350994277467217617745789896387685515264 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(if (<=.f64 t #s(literal -2299999999999999851128222259144135968344773549223308672231624187779743744 binary64)) t (if (<=.f64 t #s(literal -8929009308005425/10889035741470030830827987437816582766592 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 t #s(literal 9599999999999999423336942834938731709041478253207899919497645132514904957255680 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 y z)) t)))
(if (<=.f64 t #s(literal -1450000000000000085248140721960835774271131541033437448457796137057779712 binary64)) t (if (<=.f64 t #s(literal 320000000000000015059243038689750268529907245051732184456918705116743985004544 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
t

Outputs
(+.f64 (.f64 #s(literal 1/8 binary64) x) (+.f64 t (/.f64 (.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 t #s(literal -2100000000000000136991060992552505181349115988754604270400850104669962240 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (if (<=.f64 t #s(literal 1319999999999999962728503297028216848384 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (.f64 y z))) (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))))
(if (<=.f64 t #s(literal -2100000000000000136991060992552505181349115988754604270400850104669962240 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (if (<=.f64 t #s(literal 1319999999999999962728503297028216848384 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) (+.f64 t (.f64 (.f64 y z) #s(literal -1/2 binary64)))))
(if (<=.f64 (.f64 y z) #s(literal -2800000000000000 binary64)) (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 6194362404170639/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (+.f64 t (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
(if (<=.f64 (.f64 y z) #s(literal -2800000000000000 binary64)) (+.f64 t (.f64 (.f64 y z) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 y z) #s(literal 6194362404170639/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (+.f64 t (.f64 (*.f64 y z) #s(literal -1/2 binary64)))))
(if (<=.f64 (.f64 y z) #s(literal -145999999999999993077366285465577775062728881334513584783971463982637687871775577195079144775467652161231147379266692323190175907938801140307126855544064968941731827668959909856226684272813538198350994277467217617745789896387685515264 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(if (<=.f64 (.f64 y z) #s(literal -145999999999999993077366285465577775062728881334513584783971463982637687871775577195079144775467652161231147379266692323190175907938801140307126855544064968941731827668959909856226684272813538198350994277467217617745789896387685515264 binary64)) (.f64 (.f64 y z) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 y z) #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(if (<=.f64 t #s(literal -2299999999999999851128222259144135968344773549223308672231624187779743744 binary64)) t (if (<=.f64 t #s(literal -8929009308005425/10889035741470030830827987437816582766592 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 t #s(literal 9599999999999999423336942834938731709041478253207899919497645132514904957255680 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 y z)) t)))
(if (<=.f64 t #s(literal -2299999999999999851128222259144135968344773549223308672231624187779743744 binary64)) t (if (<=.f64 t #s(literal -8929009308005425/10889035741470030830827987437816582766592 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 t #s(literal 9599999999999999423336942834938731709041478253207899919497645132514904957255680 binary64)) (.f64 (*.f64 y z) #s(literal -1/2 binary64)) t)))
(if (<=.f64 t #s(literal -1450000000000000085248140721960835774271131541033437448457796137057779712 binary64)) t (if (<=.f64 t #s(literal 320000000000000015059243038689750268529907245051732184456918705116743985004544 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
t

soundness887.0ms (12%)

Rules

2522×	`-lowering-.f32`
2522×	`-lowering-.f64`
2200×	`sum5-define`
1628×	`sum4-define`
1584×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	883
1	278	853
2	872	823
3	2425	823
4	7256	811
0	8132	811
0	14	10
1	27	9
2	62	9
3	133	9
4	288	9
5	621	9
6	1517	9
7	3116	9
8	4996	9
9	5263	9
10	5271	9
0	5271	9

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 457 to 290 computations (36.5% saved)

preprocess78.0ms (1.1%)

Remove: (sort y z)
Compiler: Compiled 400 to 194 computations (51.5% saved)

analyze0.0ms (0%)

sample1.2s (15.9%)

preprocess474.0ms (6.4%)

explain151.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize86.0ms (1.2%)

series8.0ms (0.1%)

rewrite384.0ms (5.2%)

simplify170.0ms (2.3%)

eval38.0ms (0.5%)

prune42.0ms (0.6%)

simplify76.0ms (1%)

localize82.0ms (1.1%)

series2.0ms (0%)

rewrite286.0ms (3.9%)

simplify178.0ms (2.4%)

eval38.0ms (0.5%)

prune32.0ms (0.4%)

simplify232.0ms (3.1%)

localize105.0ms (1.4%)

series27.0ms (0.4%)

rewrite487.0ms (6.6%)

simplify287.0ms (3.9%)

eval154.0ms (2.1%)

prune117.0ms (1.6%)

simplify277.0ms (3.7%)

localize82.0ms (1.1%)

series7.0ms (0.1%)

rewrite622.0ms (8.4%)

simplify303.0ms (4.1%)

eval85.0ms (1.1%)

prune96.0ms (1.3%)

regimes36.0ms (0.5%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

regimes11.0ms (0.2%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch34.0ms (0.5%)

bsearch28.0ms (0.4%)

bsearch42.0ms (0.6%)

bsearch64.0ms (0.9%)

bsearch60.0ms (0.8%)

simplify12.0ms (0.2%)

soundness887.0ms (12%)

preprocess78.0ms (1.1%)

end0.0ms (0%)

Profiling