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)

sample1.1s (20.5%)

Results

734.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-div: 174.0ms (40.2% of total)

ival-mult: 154.0ms (35.6% of total)

ival-sub: 44.0ms (10.2% of total)

ival-add: 41.0ms (9.5% of total)

const: 18.0ms (4.2% of total)

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

Bogosity

preprocess214.0ms (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)

explain134.0ms (2.5%)

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

83.0ms

512×

valid

Compiler

Compiled 121 to 41 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 30.0ms (67.4% of total)

ival-div: 8.0ms (18% of total)

ival-sub: 3.0ms (6.7% of total)

ival-add: 3.0ms (6.7% of total)

const: 1.0ms (2.2% 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)

simplify6.0ms (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)

localize39.0ms (0.7%)

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

Results

28.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (42.4% of total)

ival-add: 3.0ms (31.8% of total)

ival-div: 2.0ms (21.2% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

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
5.0ms	x	@	inf	(+ (* 1/8 x) (+ t (/ (* y z) -2)))
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	z	@	inf	(+ (* 1/8 x) (+ t (/ (* y z) -2)))

rewrite373.0ms (7%)

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	532	26
3	7554	26
0	8186	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 (.f64 y z) #s(literal 2 binary64))))
(+.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 (.f64 y z) #s(literal 2 binary64))) (.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 (.f64 y z) #s(literal 2 binary64))) (-.f64 t (/.f64 (.f64 y z) #s(literal 2 binary64)))) (+.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 (.f64 y z) #s(literal 2 binary64))) (-.f64 t (/.f64 (.f64 y z) #s(literal 2 binary64)))) (+.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 (.f64 y z) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 (.f64 y z) (/.f64 #s(literal 4 binary64) (.f64 y z))) (+.f64 t (/.f64 (.f64 y z) #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) x)))
(-.f64 (/.f64 (.f64 (-.f64 t (/.f64 (.f64 y z) #s(literal 2 binary64))) (-.f64 t (/.f64 (.f64 y z) #s(literal 2 binary64)))) (+.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 (.f64 y z) #s(literal 2 binary64))))) (/.f64 (/.f64 (.f64 y z) (/.f64 #s(literal 4 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 #s(literal 1/8 binary64) x) (/.f64 (.f64 t t) (+.f64 t (/.f64 (.f64 y z) #s(literal 2 binary64))))) (/.f64 (/.f64 (.f64 y z) (/.f64 #s(literal 4 binary64) (.f64 y z))) (+.f64 t (/.f64 (.f64 y z) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 t (/.f64 (*.f64 y z) #s(literal 2 binary64))))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 t (/.f64 (*.f64 y z) #s(literal 2 binary64))))
(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 t (.f64 t (.f64 t t))) (.f64 (/.f64 (.f64 y z) (/.f64 #s(literal 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 (.f64 y z) (/.f64 #s(literal -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 (.f64 y z) #s(literal 2 binary64))) (/.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 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(.f64 z (.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 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)

simplify202.0ms (3.8%)

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)

eval45.0ms (0.9%)

Compiler: Compiled 9409 to 761 computations (91.9% saved)

prune42.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	348	7	355
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	349	7	356

Accuracy

100.0%

Counts

356 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
▶	99.9%	(+.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
	67.5%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
	72.6%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
▶	29.1%	(*.f64 #s(literal 1/8 binary64) x)
▶	40.4%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
▶	34.6%	t

Compiler

Compiled 138 to 106 computations (23.2% saved)

simplify118.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 9 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 (*.f64 #s(literal 1/8 binary64) x) t)
✓	cost-diff	(/.f64 #s(literal -2 binary64) z)
✓	cost-diff	(/.f64 y (/.f64 #s(literal -2 binary64) z))
✓	cost-diff	(+.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))

Rules

1708×	`sum5-define`
1482×	`fnmadd-define`
1180×	`sum4-define`
982×	`fmsub-define`
948×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	58
1	35	57
2	65	57
3	119	57
4	194	57
5	425	57
6	894	57
7	1877	57
8	3227	57
9	4623	57
10	5358	57
11	5468	57
0	5468	57

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize141.0ms (2.6%)

Localize:

Found 9 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 (*.f64 #s(literal 1/8 binary64) x) t)
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
✓	accuracy	99.6%	(/.f64 y (/.f64 #s(literal -2 binary64) z))

Results

60.0ms

256×

valid

Compiler

Compiled 66 to 18 computations (72.7% saved)

Precisions

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

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

ival-div: 4.0ms (24.9% of total)

ival-add: 2.0ms (12.5% of total)

ival-sub: 1.0ms (6.2% of total)

const: 1.0ms (6.2% of total)

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

series5.0ms (0.1%)

Counts

9 → 204

Calls

Call 1

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

Outputs
#<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 (+ 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 (* -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 (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<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 (+ 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 (* 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 (* 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

51 calls:

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

rewrite415.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4274×	`-lowering-.f32`
4274×	`-lowering-.f64`
3574×	`/-lowering-/.f32`
3574×	`/-lowering-/.f64`
1880×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	86	39
2	863	39
0	8203	39

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 502

Calls

Call 1

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

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

simplify260.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

2256×	`-lowering-.f32`
2256×	`-lowering-.f64`
1344×	`fnmadd-define`
1000×	`--lowering--.f32`
1000×	`--lowering--.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1037
1	256	998
2	738	962
3	2182	962
4	6836	962
0	8116	962

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

eval83.0ms (1.5%)

Compiler: Compiled 19526 to 1528 computations (92.2% saved)

prune143.0ms (2.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	723	2	725
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	724	8	732

Accuracy

100.0%

Counts

732 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.3%	(/.f64 y (/.f64 #s(literal -2 binary64) z))
✓	61.3%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
✓	99.9%	(+.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
▶	72.5%	(+.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) t)
▶	67.5%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	29.1%	(*.f64 #s(literal 1/8 binary64) x)
✓	40.4%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	34.6%	t

Compiler

Compiled 78 to 60 computations (23.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	24	53
2	38	53
3	47	53
4	49	53
5	50	53
0	50	53

Stop Event

1×	iter limit
1×	saturated

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
(+ (/ y (/ -2 z)) t)
(/ y (/ -2 z))
y
(/ -2 z)
-2
z
t
(/ y (/ -2 z))
y
(/ -2 z)
-2
z

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

localize59.0ms (1.1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) z)
✓	accuracy	99.6%	(/.f64 y (/.f64 #s(literal -2 binary64) z))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) z)
✓	accuracy	100.0%	(+.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) t)
✓	accuracy	99.6%	(/.f64 y (/.f64 #s(literal -2 binary64) z))
✓	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

40.0ms

256×

valid

Compiler

Compiled 60 to 15 computations (75% saved)

Precisions

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

ival-mult: 6.0ms (37% of total)

ival-add: 5.0ms (30.8% of total)

ival-div: 4.0ms (24.7% of total)

const: 1.0ms (6.2% of total)

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

series3.0ms (0%)

Counts

7 → 168

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 (+ (/ y (/ -2 z)) t)>
#<alt (/ y (/ -2 z))>
#<alt (/ -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>
#<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 (+ 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 (* -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 (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>
#<alt (/ -2 z)>

Calls

42 calls:

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

rewrite278.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4516×	`-lowering-.f32`
4516×	`-lowering-.f64`
2544×	`/-lowering-/.f32`
2544×	`/-lowering-/.f64`
1058×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	65	33
2	620	33
3	7824	33
0	8114	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 262

Calls

Call 1

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

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

simplify169.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2640×	`-lowering-.f32`
2640×	`-lowering-.f64`
2172×	`fnmadd-define`
1242×	`fnmsub-define`
910×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	855
1	220	828
2	678	828
3	1812	828
4	4817	828
0	8259	828

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

eval60.0ms (1.1%)

Compiler: Compiled 8209 to 646 computations (92.1% saved)

prune58.0ms (1.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	545	0	545
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	545	8	553

Accuracy

100.0%

Counts

553 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.3%	(/.f64 y (/.f64 #s(literal -2 binary64) z))
✓	61.3%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
✓	99.9%	(+.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
✓	72.5%	(+.f64 (/.f64 y (/.f64 #s(literal -2 binary64) z)) t)
✓	67.5%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	29.1%	(*.f64 #s(literal 1/8 binary64) x)
✓	40.4%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	34.6%	t

Compiler

Compiled 159 to 91 computations (42.8% saved)

regimes44.0ms (0.8%)

Counts

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

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

Calls

9 calls:

10.0ms	z
5.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))

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)

regimes36.0ms (0.7%)

Counts

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

5 calls:

22.0ms	z
3.0ms	y
3.0ms	t
3.0ms	x
3.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
88.8%	3	`x`
86.2%	3	`y`
84.6%	3	`z`
93.5%	4	`t`
92.1%	3	`(*.f64 y z)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes9.0ms (0.2%)

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

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

3 calls:

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

Results

Accuracy	Segments	Branch
65.7%	3	`x`
71.0%	5	`t`
87.5%	3	`(*.f64 y z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes11.0ms (0.2%)

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
58.1%	5	`x`
59.3%	3	`t`
56.3%	3	`z`
59.2%	4	`y`
65.0%	4	`(*.f64 y z)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes7.0ms (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

4 calls:

2.0ms	t
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
50.4%	3	`x`
34.6%	1	`z`
38.4%	2	`y`
52.3%	3	`t`

Compiler

Compiled 20 to 16 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

3 calls:

2.0ms	t
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
34.6%	1	`y`
34.6%	1	`x`
34.6%	1	`t`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.166518046473502e-57	6.838927143355412e-50
0.0ms	-9.520357926416411e+95	-1.714832226344558e+92

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.564702518190233e+91	3.5207502252600997e+93
0.0ms	-9.520357926416411e+95	-1.714832226344558e+92

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch54.0ms (1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	1.296579864845499e-67	3.744562735875432e-67
12.0ms	2.367851868375525e-123	2.569295083458252e-121
30.0ms	-6.038513728498447e+59	-2.44264187521842e+54

Results

39.0ms

336×

valid

Compiler

Compiled 328 to 281 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 20.0ms (73.1% of total)

ival-sub: 2.0ms (7.3% of total)

ival-add: 2.0ms (7.3% of total)

ival-mult: 2.0ms (7.3% of total)

const: 1.0ms (3.7% of total)

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

bsearch43.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.334591947565891e-20	3.5248970527797186e-6
18.0ms	-1.4686926482034017e+90	-2.2678797608335728e+81

Results

26.0ms

304×

valid

Compiler

Compiled 290 to 247 computations (14.8% saved)

Precisions

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

ival-div: 5.0ms (34.7% of total)

ival-mult: 5.0ms (34.7% of total)

ival-sub: 3.0ms (20.8% of total)

ival-add: 2.0ms (13.9% of total)

const: 1.0ms (6.9% of total)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-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	42	105
1	63	105
2	75	105
3	81	105
4	85	105
5	86	105

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 (.f64 y z) #s(literal -500000000000000024930826985954446508505134242719231075787446465305994199549652907692229507678208 binary64)) (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 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 -500000000000000024930826985954446508505134242719231075787446465305994199549652907692229507678208 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776 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 -14499999999999999263674317801483986664867383473623531520 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal 7889398248994235/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) t (if (<=.f64 (.f64 y z) #s(literal 834740539628243/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (.f64 y z)))))
(if (<=.f64 t #s(literal -2799999999999999948088930377555690394088253391238406495300147668423157622501277696 binary64)) t (if (<=.f64 t #s(literal 6189700196426901/19342813113834066795298816 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 (.f64 y z) #s(literal -500000000000000024930826985954446508505134242719231075787446465305994199549652907692229507678208 binary64)) (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 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 -500000000000000024930826985954446508505134242719231075787446465305994199549652907692229507678208 binary64)) (+.f64 t (.f64 (.f64 y z) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 y z) #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 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 -500000000000000024930826985954446508505134242719231075787446465305994199549652907692229507678208 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776 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 -500000000000000024930826985954446508505134242719231075787446465305994199549652907692229507678208 binary64)) (.f64 (.f64 y z) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 y z) #s(literal 50000000000000002168864848730959303664514666247596965589588689466805840644484055547066187776 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(if (<=.f64 (.f64 y z) #s(literal -14499999999999999263674317801483986664867383473623531520 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal 7889398248994235/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) t (if (<=.f64 (.f64 y z) #s(literal 834740539628243/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (.f64 y z)))))
(if (<=.f64 (.f64 y z) #s(literal -14499999999999999263674317801483986664867383473623531520 binary64)) (.f64 (.f64 y z) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 y z) #s(literal 7889398248994235/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) t (if (<=.f64 (.f64 y z) #s(literal 834740539628243/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 y z) #s(literal -1/2 binary64)))))
(if (<=.f64 t #s(literal -2799999999999999948088930377555690394088253391238406495300147668423157622501277696 binary64)) t (if (<=.f64 t #s(literal 6189700196426901/19342813113834066795298816 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
t

soundness1.1s (20.7%)

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 360 to 223 computations (38.1% saved)

preprocess57.0ms (1.1%)

Remove: (sort y z)
Compiler: Compiled 362 to 176 computations (51.4% saved)

analyze0.0ms (0%)

sample1.1s (20.5%)

preprocess214.0ms (4%)

explain134.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize39.0ms (0.7%)

series13.0ms (0.2%)

rewrite373.0ms (7%)

simplify202.0ms (3.8%)

eval45.0ms (0.9%)

prune42.0ms (0.8%)

simplify118.0ms (2.2%)

localize141.0ms (2.6%)

series5.0ms (0.1%)

rewrite415.0ms (7.8%)

simplify260.0ms (4.9%)

eval83.0ms (1.5%)

prune143.0ms (2.7%)

simplify6.0ms (0.1%)

localize59.0ms (1.1%)

series3.0ms (0%)

rewrite278.0ms (5.2%)

simplify169.0ms (3.2%)

eval60.0ms (1.1%)

prune58.0ms (1.1%)

regimes44.0ms (0.8%)

regimes36.0ms (0.7%)

regimes9.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch54.0ms (1%)

bsearch43.0ms (0.8%)

simplify11.0ms (0.2%)

soundness1.1s (20.7%)

preprocess57.0ms (1.1%)

end0.0ms (0%)

Profiling