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)

sample1.0s (14.5%)

Results

724.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-mult: 177.0ms (41.5% of total)

ival-div: 115.0ms (27% of total)

ival-sub: 62.0ms (14.5% of total)

ival-add: 50.0ms (11.7% of total)

const: 19.0ms (4.5% of total)

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

Bogosity

preprocess270.0ms (3.8%)

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)

explain163.0ms (2.3%)

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

63.0ms

512×

valid

Compiler

Compiled 121 to 41 computations (66.1% saved)

Precisions

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

ival-sub: 11.0ms (34.7% of total)

ival-div: 9.0ms (28.4% of total)

ival-mult: 7.0ms (22.1% of total)

ival-add: 3.0ms (9.5% of total)

const: 1.0ms (3.2% 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)

simplify7.0ms (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)

localize45.0ms (0.6%)

Localize:

Found 4 expressions of interest:

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

Results

26.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-mult: 4.0ms (41.7% of total)

ival-add: 3.0ms (31.3% of total)

ival-div: 2.0ms (20.8% of total)

const: 1.0ms (10.4% of total)

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

series8.0ms (0.1%)

Counts

5 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite341.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 211

Calls

Call 1

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

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

simplify173.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval38.0ms (0.5%)

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

prune81.0ms (1.2%)

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
▶	100.0%	(fma.f64 (/.f64 z #s(literal -2 binary64)) y (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
▶	66.6%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
	67.5%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
	66.7%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
▶	34.3%	(*.f64 #s(literal 1/8 binary64) x)
▶	35.1%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
▶	34.0%	t

Compiler

Compiled 136 to 104 computations (23.5% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

1984×	`sum5-define`
1376×	`sum4-define`
1300×	`fnmadd-define`
852×	`sum3-define`
824×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	37	52
2	68	52
3	122	52
4	201	52
5	427	52
6	880	52
7	1825	52
8	3206	52
9	4538	52
10	5040	52
11	5058	52
0	5058	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize64.0ms (0.9%)

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

Results

46.0ms

256×

valid

Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions

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

ival-mult: 11.0ms (40.2% of total)

compiled-spec: 8.0ms (29.2% of total)

ival-add: 4.0ms (14.6% of total)

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

ival-sub: 1.0ms (3.7% of total)

const: 1.0ms (3.7% of total)

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

series4.0ms (0.1%)

Counts

8 → 180

Calls

Call 1

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

45 calls:

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

rewrite296.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3178×	`-lowering-.f32`
3178×	`-lowering-.f64`
2468×	`/-lowering-/.f32`
2468×	`/-lowering-/.f64`
2226×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	81	34
2	711	34
0	8686	34

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 288

Calls

Call 1

Inputs
(+ (* (/ z -2) y) (+ (* 1/8 x) t))
(/ z -2)
(+ (* 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)
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/8 binary64) x) t)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) t)) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) t))) (+.f64 (.f64 (/.f64 (.f64 t t) (-.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 #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 (/.f64 (.f64 t (.f64 t t)) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 t (+.f64 t (.f64 x #s(literal -1/8 binary64)))))) (/.f64 (.f64 t (.f64 t t)) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 t (+.f64 t (.f64 x #s(literal -1/8 binary64))))))) (.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 t (+.f64 t (.f64 x #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 t (+.f64 t (.f64 x #s(literal -1/8 binary64)))))))) (+.f64 (/.f64 (.f64 t (.f64 t t)) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 t (+.f64 t (.f64 x #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 t (+.f64 t (*.f64 x #s(literal -1/8 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 t t) (+.f64 t (.f64 x #s(literal -1/8 binary64)))) (/.f64 (.f64 t t) (+.f64 t (.f64 x #s(literal -1/8 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (+.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 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 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) t)) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) t))) (.f64 (/.f64 (.f64 t t) (-.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 #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))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) x) 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 #s(literal 1/64 binary64) (.f64 x x)) (.f64 t (+.f64 t (.f64 x #s(literal -1/8 binary64)))))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))
(.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 (.f64 x x) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 t (*.f64 x #s(literal -1/8 binary64)))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 t t)) (.f64 #s(literal 1/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) t)))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) t))))
(.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 (.f64 x x) #s(literal -1/64 binary64)) (neg.f64 (.f64 t (+.f64 t (.f64 x #s(literal -1/8 binary64))))))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/8 binary64) x))
(neg.f64 (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 x #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/8 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/8 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/8 binary64))

simplify187.0ms (2.7%)

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	80	917
1	254	878
2	738	842
3	2186	842
4	6842	842
0	8123	842

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

eval56.0ms (0.8%)

Compiler: Compiled 10196 to 794 computations (92.2% saved)

prune258.0ms (3.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	488	2	490
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	489	8	497

Accuracy

100.0%

Counts

497 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(/.f64 (+.f64 (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))))
▶	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) z) y))
✓	66.6%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
▶	67.5%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
▶	66.7%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
✓	34.3%	(*.f64 #s(literal 1/8 binary64) x)
✓	35.1%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	34.0%	t

Compiler

Compiled 92 to 66 computations (28.3% saved)

simplify212.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) x) t)))
✓	cost-diff	128	(.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t)))
✓	cost-diff	128	(+.f64 (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))) #s(literal -2 binary64))
✓	cost-diff	768	(/.f64 (+.f64 (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) z)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -2 binary64) z) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) z) y))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	cost-diff	0	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))

Rules

2792×	`-lowering-.f32`
2792×	`-lowering-.f64`
2082×	`fma-define`
1828×	`fma-lowering-fma.f32`
1828×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	23	124
1	53	122
2	98	120
3	150	120
4	232	120
5	310	120
6	606	115
7	1479	113
8	3062	113
9	7358	113
10	7815	113
0	8023	113

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize98.0ms (1.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) x) t)))
✓	accuracy	96.4%	(/.f64 (+.f64 (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))))
✓	accuracy	92.0%	(.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t)))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) z)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal -2 binary64) z) y)
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) z) y))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	accuracy	100.0%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))

Results

63.0ms

256×

valid

Compiler

Compiled 149 to 24 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 11.0ms (42.5% of total)

ival-div: 9.0ms (34.8% of total)

ival-add: 5.0ms (19.3% of total)

const: 1.0ms (3.9% of total)

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

series58.0ms (0.8%)

Counts

13 → 384

Calls

Call 1

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

Outputs
#<alt (* -1/2 (* y z))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt t>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt (* t (+ 1 (* -1/2 (/ (* y z) t))))>
#<alt t>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt (* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (+ t (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* y (+ (* -1/2 z) (/ t y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))>
#<alt t>
#<alt (+ t (* -1/2 (* y z)))>
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#<alt (/ 8 x)>
#<alt (/ (+ 8 (* -64 (/ t x))) x)>
#<alt (/ (- (+ 8 (* 512 (/ (pow t 2) (pow x 2)))) (* 64 (/ t x))) x)>
#<alt (/ (- (+ 8 (* -4096 (/ (pow t 3) (pow x 3)))) (+ (* -512 (/ (pow t 2) (pow x 2))) (* 64 (/ t x)))) x)>
#<alt (/ 8 x)>
#<alt (* -1 (/ (- (* 64 (/ t x)) 8) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 512 (/ (pow t 2) x)) (* 64 t)) x)) 8) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ (pow t 3) x)) (* 512 (pow t 2))) x)) (* 64 t)) x)) 8) x))>
#<alt (/ 8 x)>
#<alt (+ (* -64 (/ t (pow x 2))) (* 8 (/ 1 x)))>
#<alt (+ (* t (- (* 512 (/ t (pow x 3))) (* 64 (/ 1 (pow x 2))))) (* 8 (/ 1 x)))>
#<alt (+ (* t (- (* t (+ (* -4096 (/ t (pow x 4))) (* 512 (/ 1 (pow x 3))))) (* 64 (/ 1 (pow x 2))))) (* 8 (/ 1 x)))>
#<alt (/ 1 t)>
#<alt (/ (+ 1 (* -1/8 (/ x t))) t)>
#<alt (/ (- (+ 1 (* 1/64 (/ (pow x 2) (pow t 2)))) (* 1/8 (/ x t))) t)>
#<alt (/ (- (+ 1 (* -1/512 (/ (pow x 3) (pow t 3)))) (+ (* -1/64 (/ (pow x 2) (pow t 2))) (* 1/8 (/ x t)))) t)>
#<alt (/ 1 t)>
#<alt (* -1 (/ (- (* 1/8 (/ x t)) 1) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ (pow x 2) t)) (* 1/8 x)) t)) 1) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/512 (/ (pow x 3) t)) (* 1/64 (pow x 2))) t)) (* 1/8 x)) t)) 1) t))>

Calls

96 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-inf	(/ (+ (* (* z y) (/ 1 (+ (* 1/8 x) t))) -2) (* -2 (/ 1 (+ (* 1/8 x) t))))
1.0ms	z	@	0	(/ (/ -2 z) y)
1.0ms	t	@	inf	(* -2 (/ 1 (+ (* 1/8 x) t)))
1.0ms	x	@	0	(/ (+ (* (* z y) (/ 1 (+ (* 1/8 x) t))) -2) (* -2 (/ 1 (+ (* 1/8 x) t))))
1.0ms	t	@	0	(/ (+ (* (* z y) (/ 1 (+ (* 1/8 x) t))) -2) (* -2 (/ 1 (+ (* 1/8 x) t))))

rewrite349.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4048×	`/-lowering-/.f32`
4048×	`/-lowering-/.f64`
3990×	`-lowering-.f32`
3990×	`-lowering-.f64`
1794×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	85
1	135	82
2	1066	82
0	8361	82

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 642

Calls

Call 1

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

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

simplify343.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

5458×	`-lowering-.f32`
5458×	`-lowering-.f64`
2416×	`+-lowering-+.f64`
2416×	`+-lowering-+.f32`
1504×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	667	4078
1	2363	3654
0	8228	3654

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* -1/2 (* y z))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
t
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
t
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (/ t y)))
(* -1/2 (* y z))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
t
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (/ t z)))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
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Outputs
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(.f64 (-.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 t y)) (neg.f64 y))
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(+.f64 (/.f64 (.f64 y z) t) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 y z) x)) (pow.f64 t #s(literal 4 binary64))) (/.f64 (.f64 (.f64 y z) #s(literal 1/64 binary64)) (.f64 t (.f64 t t))))) (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (.f64 y z) t) t)))))
(* 8 (/ (* y z) x))
(.f64 y (.f64 (/.f64 z x) #s(literal 8 binary64)))
(/ (+ (* -64 (/ (* t (* y z)) x)) (* 8 (* y z))) x)
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 y z) t) #s(literal -64 binary64)) x) (.f64 y (*.f64 z #s(literal 8 binary64)))) x)
(/ (- (+ (* 8 (* y z)) (* 512 (/ (* (pow t 2) (* y z)) (pow x 2)))) (* 64 (/ (* t (* y z)) x))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 z (.f64 t t))) (/.f64 #s(literal 512 binary64) x)) (.f64 (.f64 (.f64 y z) t) #s(literal -64 binary64))) x) (.f64 y (*.f64 z #s(literal 8 binary64)))) x)
(/ (- (+ (* -4096 (/ (* (pow t 3) (* y z)) (pow x 3))) (* 8 (* y z))) (+ (* -512 (/ (* (pow t 2) (* y z)) (pow x 2))) (* 64 (/ (* t (* y z)) x)))) x)
(/.f64 (+.f64 (+.f64 (.f64 y (.f64 z #s(literal 8 binary64))) (-.f64 (/.f64 (.f64 #s(literal -4096 binary64) (.f64 z (.f64 y (.f64 t (.f64 t t))))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 t t) #s(literal -512 binary64)) (/.f64 (.f64 y z) (.f64 x x))))) (/.f64 (.f64 (.f64 (*.f64 y z) t) #s(literal -64 binary64)) x)) x)
(* 8 (/ (* y z) x))
(.f64 y (.f64 (/.f64 z x) #s(literal 8 binary64)))
(* -1 (/ (+ (* -8 (* y z)) (* 64 (/ (* t (* y z)) x))) x))
(/.f64 (+.f64 (.f64 (.f64 y z) #s(literal -8 binary64)) (/.f64 (.f64 t (.f64 (*.f64 y z) #s(literal 64 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ (* -8 (* y z)) (* -1 (/ (- (* 512 (/ (* (pow t 2) (* y z)) x)) (* 64 (* t (* y z)))) x))) x))
(/.f64 (-.f64 (.f64 (.f64 y z) #s(literal -8 binary64)) (/.f64 (+.f64 (.f64 (.f64 y (.f64 z (.f64 t t))) (/.f64 #s(literal 512 binary64) x)) (.f64 (.f64 (*.f64 y z) t) #s(literal -64 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ (* -8 (* y z)) (* -1 (/ (- (* -1 (/ (- (* 4096 (/ (* (pow t 3) (* y z)) x)) (* 512 (* (pow t 2) (* y z)))) x)) (* 64 (* t (* y z)))) x))) x))
(/.f64 (-.f64 (.f64 (.f64 y z) #s(literal -8 binary64)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 #s(literal 4096 binary64) (/.f64 (.f64 z (.f64 y (.f64 t (.f64 t t)))) x)) (.f64 (.f64 (.f64 t t) #s(literal -512 binary64)) (.f64 y z))) x)) (.f64 (.f64 (.f64 y z) t) #s(literal -64 binary64))) x)) (neg.f64 x))
(* 8 (/ (* y z) x))
(.f64 y (.f64 (/.f64 z x) #s(literal 8 binary64)))
(+ (* -64 (/ (* t (* y z)) (pow x 2))) (* 8 (/ (* y z) x)))
(+.f64 (.f64 y (.f64 (/.f64 z x) #s(literal 8 binary64))) (/.f64 (.f64 (.f64 (.f64 y z) t) #s(literal -64 binary64)) (.f64 x x)))
(+ (* 8 (/ (* y z) x)) (* t (- (* 512 (/ (* t (* y z)) (pow x 3))) (* 64 (/ (* y z) (pow x 2))))))
(+.f64 (.f64 y (.f64 (/.f64 z x) #s(literal 8 binary64))) (.f64 t (+.f64 (/.f64 (.f64 (.f64 y z) #s(literal -64 binary64)) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 y z) t) #s(literal 512 binary64)) (.f64 x (*.f64 x x))))))
(+ (* 8 (/ (* y z) x)) (* t (- (* t (- (* -4096 (/ (* t (* y z)) (pow x 4))) (* -512 (/ (* y z) (pow x 3))))) (* 64 (/ (* y z) (pow x 2))))))
(+.f64 (.f64 y (.f64 (/.f64 z x) #s(literal 8 binary64))) (.f64 t (+.f64 (/.f64 (.f64 (.f64 y z) #s(literal -64 binary64)) (.f64 x x)) (.f64 t (+.f64 (/.f64 (.f64 (.f64 y z) #s(literal 512 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 y z) t) #s(literal -4096 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/ (* y z) t)
(/.f64 (*.f64 y z) t)
(/ (+ (* -1/8 (/ (* x (* y z)) t)) (* y z)) t)
(/.f64 (+.f64 (.f64 y z) (.f64 (/.f64 (.f64 y z) t) (.f64 x #s(literal -1/8 binary64)))) t)
(/ (- (+ (* 1/64 (/ (* (pow x 2) (* y z)) (pow t 2))) (* y z)) (* 1/8 (/ (* x (* y z)) t))) t)
(/.f64 (+.f64 (.f64 y z) (/.f64 (+.f64 (.f64 (.f64 y z) (.f64 x #s(literal -1/8 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (.f64 y z) t) #s(literal 1/64 binary64)))) t)) t)
(/ (- (+ (* -1/512 (/ (* (pow x 3) (* y z)) (pow t 3))) (* y z)) (+ (* -1/64 (/ (* (pow x 2) (* y z)) (pow t 2))) (* 1/8 (/ (* x (* y z)) t)))) t)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (.f64 z (.f64 y (.f64 x (.f64 x x))))) (.f64 t (.f64 t t))) (-.f64 (+.f64 (.f64 y z) (.f64 (/.f64 (.f64 y z) t) (.f64 x #s(literal -1/8 binary64)))) (/.f64 (.f64 (.f64 y z) (.f64 #s(literal -1/64 binary64) (.f64 x x))) (.f64 t t)))) t)
(/ (* y z) t)
(/.f64 (*.f64 y z) t)
(* -1 (/ (+ (* -1 (* y z)) (* 1/8 (/ (* x (* y z)) t))) t))
(/.f64 (-.f64 (/.f64 (.f64 x (.f64 (.f64 y z) #s(literal 1/8 binary64))) t) (.f64 y z)) (neg.f64 t))
(* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (- (* 1/64 (/ (* (pow x 2) (* y z)) t)) (* 1/8 (* x (* y z)))) t))) t))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 y z) (/.f64 (+.f64 (.f64 (.f64 y z) (.f64 x #s(literal -1/8 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (*.f64 y z) t) #s(literal 1/64 binary64)))) t))) t)
(* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (- (* -1 (/ (- (* 1/512 (/ (* (pow x 3) (* y z)) t)) (* 1/64 (* (pow x 2) (* y z)))) t)) (* 1/8 (* x (* y z)))) t))) t))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 y z) (/.f64 (+.f64 (.f64 (.f64 y z) (.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 (.f64 y z) (.f64 #s(literal -1/64 binary64) (.f64 x x))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 z (.f64 y (.f64 x (.f64 x x))))) t)) t))) t))) t)
(/ -2 t)
(/.f64 #s(literal -2 binary64) t)
(- (* 1/4 (/ x (pow t 2))) (* 2 (/ 1 t)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x t))) t)
(- (* x (+ (* -1/32 (/ x (pow t 3))) (* 1/4 (/ 1 (pow t 2))))) (* 2 (/ 1 t)))
(+.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (/.f64 (.f64 x x) t) t)) t) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x t))) t))
(- (* x (+ (* x (- (* 1/256 (/ x (pow t 4))) (* 1/32 (/ 1 (pow t 3))))) (* 1/4 (/ 1 (pow t 2))))) (* 2 (/ 1 t)))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/256 binary64) (/.f64 x (pow.f64 t #s(literal 4 binary64)))) (/.f64 #s(literal -1/32 binary64) (.f64 t (.f64 t t))))) (/.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 x t))) t))
(/ -16 x)
(/.f64 #s(literal -16 binary64) x)
(/ (- (* 128 (/ t x)) 16) x)
(/.f64 (+.f64 #s(literal -16 binary64) (/.f64 (*.f64 t #s(literal 128 binary64)) x)) x)
(/ (- (* -1024 (/ (pow t 2) (pow x 2))) (+ 16 (* -128 (/ t x)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 t t) #s(literal -1024 binary64)) x) (*.f64 t #s(literal 128 binary64))) x) #s(literal 16 binary64)) x)
(/ (- (* 8192 (/ (pow t 3) (pow x 3))) (+ 16 (+ (* -128 (/ t x)) (* 1024 (/ (pow t 2) (pow x 2)))))) x)
(/.f64 (-.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 8192 binary64)) (.f64 x (.f64 x x))) (+.f64 #s(literal 16 binary64) (+.f64 (/.f64 (.f64 t #s(literal -128 binary64)) x) (/.f64 (.f64 (.f64 t t) #s(literal 1024 binary64)) (*.f64 x x))))) x)
(/ -16 x)
(/.f64 #s(literal -16 binary64) x)
(* -1 (/ (+ 16 (* -128 (/ t x))) x))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (*.f64 t #s(literal -128 binary64)) x)) (neg.f64 x))
(* -1 (/ (+ 16 (* -1 (/ (- (* -1024 (/ (pow t 2) x)) (* -128 t)) x))) x))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 t t) #s(literal -1024 binary64)) x) (*.f64 t #s(literal 128 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ 16 (* -1 (/ (- (* -1 (/ (- (* -8192 (/ (pow t 3) x)) (* -1024 (pow t 2))) x)) (* -128 t)) x))) x))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal -8192 binary64) (/.f64 (.f64 t (.f64 t t)) x)) (.f64 (.f64 t t) #s(literal 1024 binary64))) (neg.f64 x)) (.f64 t #s(literal 128 binary64))) x)) (neg.f64 x))
(/ -16 x)
(/.f64 #s(literal -16 binary64) x)
(- (* 128 (/ t (pow x 2))) (* 16 (/ 1 x)))
(/.f64 (+.f64 #s(literal -16 binary64) (/.f64 (*.f64 t #s(literal 128 binary64)) x)) x)
(- (* t (+ (* -1024 (/ t (pow x 3))) (* 128 (/ 1 (pow x 2))))) (* 16 (/ 1 x)))
(+.f64 (/.f64 (.f64 (.f64 t t) #s(literal -1024 binary64)) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 (*.f64 t #s(literal 128 binary64)) x)) x))
(- (* t (+ (* t (- (* 8192 (/ t (pow x 4))) (* 1024 (/ 1 (pow x 3))))) (* 128 (/ 1 (pow x 2))))) (* 16 (/ 1 x)))
(+.f64 (.f64 (.f64 t t) (+.f64 (/.f64 (.f64 t #s(literal 8192 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1024 binary64) (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 (.f64 t #s(literal 128 binary64)) x)) x))
(/ -2 t)
(/.f64 #s(literal -2 binary64) t)
(/ (- (* 1/4 (/ x t)) 2) t)
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x t))) t)
(/ (- (* -1/32 (/ (pow x 2) (pow t 2))) (+ 2 (* -1/4 (/ x t)))) t)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/32 binary64))) t) (*.f64 x #s(literal 1/4 binary64))) t) #s(literal 2 binary64)) t)
(/ (- (* 1/256 (/ (pow x 3) (pow t 3))) (+ 2 (+ (* -1/4 (/ x t)) (* 1/32 (/ (pow x 2) (pow t 2)))))) t)
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/256 binary64)) (.f64 t (.f64 t t))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 x t)))) (.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (.f64 x x) t) t))) t)
(/ -2 t)
(/.f64 #s(literal -2 binary64) t)
(* -1 (/ (+ 2 (* -1/4 (/ x t))) t))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x t)))) t)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1/32 (/ (pow x 2) t)) (* -1/4 x)) t))) t))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/32 binary64))) t) (*.f64 x #s(literal 1/4 binary64))) t)) (neg.f64 t))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -1/256 (/ (pow x 3) t)) (* -1/32 (pow x 2))) t)) (* -1/4 x)) t))) t))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 x (.f64 x x)) t)) (.f64 (.f64 x x) #s(literal 1/32 binary64))) (neg.f64 t)) (.f64 x #s(literal 1/4 binary64))) t)) (neg.f64 t))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(+ (* -1/8 (/ x (pow t 2))) (/ 1 t))
(+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) t) t))
(+ (* x (- (* 1/64 (/ x (pow t 3))) (* 1/8 (/ 1 (pow t 2))))) (/ 1 t))
(+.f64 (/.f64 #s(literal 1 binary64) t) (.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 t t)) (/.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 t (*.f64 t t))))))
(+ (* x (- (* x (+ (* -1/512 (/ x (pow t 4))) (* 1/64 (/ 1 (pow t 3))))) (* 1/8 (/ 1 (pow t 2))))) (/ 1 t))
(+.f64 (/.f64 #s(literal 1 binary64) t) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/512 binary64) (/.f64 x (pow.f64 t #s(literal 4 binary64)))) (/.f64 #s(literal 1/64 binary64) (.f64 t (.f64 t t))))) (/.f64 #s(literal -1/8 binary64) (.f64 t t)))))
(/ 8 x)
(/.f64 #s(literal 8 binary64) x)
(/ (+ 8 (* -64 (/ t x))) x)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 t #s(literal -64 binary64)) x)) x)
(/ (- (+ 8 (* 512 (/ (pow t 2) (pow x 2)))) (* 64 (/ t x))) x)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 t t) #s(literal 512 binary64)) x) (*.f64 t #s(literal -64 binary64))) x)) x)
(/ (- (+ 8 (* -4096 (/ (pow t 3) (pow x 3)))) (+ (* -512 (/ (pow t 2) (pow x 2))) (* 64 (/ t x)))) x)
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal -4096 binary64) (.f64 x x)) (/.f64 (.f64 t (.f64 t t)) x))) (/.f64 (.f64 (.f64 t t) #s(literal 512 binary64)) (.f64 x x))) (/.f64 (.f64 t #s(literal 64 binary64)) x)) x)
(/ 8 x)
(/.f64 #s(literal 8 binary64) x)
(* -1 (/ (- (* 64 (/ t x)) 8) x))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 t #s(literal -64 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 512 (/ (pow t 2) x)) (* 64 t)) x)) 8) x))
(/.f64 (+.f64 #s(literal -8 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 t t) #s(literal 512 binary64)) x) (*.f64 t #s(literal -64 binary64))) x))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ (pow t 3) x)) (* 512 (pow t 2))) x)) (* 64 t)) x)) 8) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 t (.f64 t t)) #s(literal 4096 binary64)) x) (.f64 (.f64 t t) #s(literal -512 binary64))) x)) (.f64 t #s(literal -64 binary64))) (neg.f64 x))) (neg.f64 x))
(/ 8 x)
(/.f64 #s(literal 8 binary64) x)
(+ (* -64 (/ t (pow x 2))) (* 8 (/ 1 x)))
(+.f64 (/.f64 (.f64 t #s(literal -64 binary64)) (.f64 x x)) (/.f64 #s(literal 8 binary64) x))
(+ (* t (- (* 512 (/ t (pow x 3))) (* 64 (/ 1 (pow x 2))))) (* 8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 8 binary64) x) (.f64 t (+.f64 (/.f64 #s(literal -64 binary64) (.f64 x x)) (/.f64 (.f64 t #s(literal 512 binary64)) (.f64 x (*.f64 x x))))))
(+ (* t (- (* t (+ (* -4096 (/ t (pow x 4))) (* 512 (/ 1 (pow x 3))))) (* 64 (/ 1 (pow x 2))))) (* 8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 8 binary64) x) (.f64 t (+.f64 (.f64 t (+.f64 (/.f64 (.f64 t #s(literal -4096 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 512 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal -64 binary64) (.f64 x x)))))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(/ (+ 1 (* -1/8 (/ x t))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/8 binary64)) t)) t)
(/ (- (+ 1 (* 1/64 (/ (pow x 2) (pow t 2)))) (* 1/8 (/ x t))) t)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) t) (*.f64 x #s(literal -1/8 binary64))) t)) t)
(/ (- (+ 1 (* -1/512 (/ (pow x 3) (pow t 3)))) (+ (* -1/64 (/ (pow x 2) (pow t 2))) (* 1/8 (/ x t)))) t)
(/.f64 (+.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 (.f64 #s(literal 1/8 binary64) x) t) (/.f64 (.f64 #s(literal -1/64 binary64) (.f64 x x)) (*.f64 t t))))) t)
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
(* -1 (/ (- (* 1/8 (/ x t)) 1) t))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/8 binary64)) t)) t)
(* -1 (/ (- (* -1 (/ (- (* 1/64 (/ (pow x 2) t)) (* 1/8 x)) t)) 1) t))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 x x)) t) (*.f64 x #s(literal -1/8 binary64))) t))) (neg.f64 t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/512 (/ (pow x 3) t)) (* 1/64 (pow x 2))) t)) (* 1/8 x)) t)) 1) t))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (.f64 x (.f64 x x)) t)) (.f64 #s(literal -1/64 binary64) (.f64 x x))) t)) (.f64 x #s(literal -1/8 binary64))) t))) (neg.f64 t))

eval164.0ms (2.3%)

Compiler: Compiled 29167 to 2555 computations (91.2% saved)

prune154.0ms (2.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1212	1	1213
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	1213	8	1221

Accuracy

100.0%

Counts

1221 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) z) y))
✓	66.6%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
✓	67.5%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	66.7%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
▶	56.2%	(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 t z)))
✓	34.3%	(*.f64 #s(literal 1/8 binary64) x)
✓	35.1%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	34.0%	t

Compiler

Compiled 78 to 60 computations (23.1% saved)

simplify394.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

6260×	`-lowering-.f32`
6260×	`-lowering-.f64`
2152×	`cube-prod`
1910×	`/-lowering-/.f32`
1910×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	18	24
2	36	24
3	48	24
4	51	22
5	65	22
6	90	22
7	169	22
8	681	22
9	1782	22
10	2671	22
11	3152	22
12	3851	22
13	4852	22
14	5263	22
15	5360	22
16	5440	22
17	5526	22
18	5708	22
19	6817	22
20	7446	22
21	7565	22
22	7655	22
23	7740	22
24	7825	22
25	7912	22
0	8011	22

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize54.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 t z)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t z))
✓	accuracy	87.9%	(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 t z)))

Results

45.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

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

ival-mult: 4.0ms (52.1% of total)

ival-div: 2.0ms (26.1% of total)

ival-add: 1.0ms (13% of total)

const: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Counts

4 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite215.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2672×	`-lowering-.f32`
2672×	`-lowering-.f64`
1802×	`/-lowering-/.f32`
1802×	`/-lowering-/.f64`
1482×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	39	20
2	368	18
3	5888	18
0	8278	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 142

Calls

Call 1

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

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

simplify164.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2156×	`fnmadd-define`
1968×	`-lowering-.f32`
1968×	`-lowering-.f64`
1680×	`fmsub-define`
1536×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	524
1	176	494
2	527	494
3	1517	494
4	4444	494
0	8479	494

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval28.0ms (0.4%)

Compiler: Compiled 5172 to 464 computations (91% saved)

prune27.0ms (0.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	250	8	258

Accuracy

100.0%

Counts

258 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) z) y))
✓	66.6%	(-.f64 t (*.f64 x #s(literal -1/8 binary64)))
✓	67.5%	(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	66.7%	(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
✓	56.2%	(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 t z)))
✓	34.3%	(*.f64 #s(literal 1/8 binary64) x)
✓	35.1%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	34.0%	t

Compiler

Compiled 185 to 102 computations (44.9% saved)

regimes67.0ms (1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

9 calls:

31.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
6.0ms	(*.f64 y z)
4.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms	t
4.0ms	x

Results

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

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes48.0ms (0.7%)

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

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

Calls

9 calls:

10.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
7.0ms	x
6.0ms	(*.f64 y z)
4.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms	t

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)

regimes19.0ms (0.3%)

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

5.0ms	y
3.0ms	t
3.0ms	z
3.0ms	x
3.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
89.5%	3	`x`
85.8%	3	`y`
88.3%	4	`z`
89.0%	3	`t`
89.9%	3	`(*.f64 y z)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes7.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.6%	1	`t`
66.6%	1	`x`
87.0%	3	`(*.f64 y z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes11.0ms (0.2%)

Counts

3 → 5

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
58.0%	5	`x`
60.4%	4	`t`
57.8%	5	`y`
53.2%	3	`z`
63.1%	5	`(*.f64 y z)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.9%	3	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
t

Outputs
t

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
34.0%	1	`z`
34.0%	1	`y`
34.0%	1	`x`
34.0%	1	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.620145257106246e+89	1.0534243296331561e+92
0.0ms	-8.289066414835314e+159	-7.908805909341345e+140

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.620145257106246e+89	1.0534243296331561e+92
21.0ms	-8.289066414835314e+159	-7.908805909341345e+140

Results

25.0ms

288×

valid

Compiler

Compiled 348 to 289 computations (17% saved)

Precisions

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

ival-add: 6.0ms (39.9% of total)

ival-div: 5.0ms (33.3% of total)

ival-sub: 2.0ms (13.3% of total)

ival-mult: 2.0ms (13.3% of total)

const: 1.0ms (6.7% of total)

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

bsearch141.0ms (2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	2.620145257106246e+89	1.0534243296331561e+92
84.0ms	4.308014820015101e-65	3.720110484374401e-57
19.0ms	-2.4877172609497068e+20	-6975889258.698379
19.0ms	-8.289066414835314e+159	-7.908805909341345e+140

Results

47.0ms	591×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 542 to 463 computations (14.6% saved)

Precisions

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

ival-div: 11.0ms (49.7% of total)

ival-mult: 4.0ms (18.1% of total)

ival-add: 3.0ms (13.5% of total)

ival-sub: 3.0ms (13.5% of total)

const: 1.0ms (4.5% of total)

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

bsearch43.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	8.77855119481246e+45	3.3810403963640016e+47
9.0ms	-3.7129850168996164e-59	-9.584379636399604e-60

Results

34.0ms

192×

valid

Compiler

Compiled 192 to 163 computations (15.1% saved)

Precisions

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

ival-div: 3.0ms (37.9% of total)

ival-mult: 3.0ms (37.9% of total)

ival-sub: 1.0ms (12.6% of total)

ival-add: 1.0ms (12.6% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	122
1	72	122
2	84	122
3	90	122
4	94	122
5	95	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 z #s(literal -2 binary64)) y (+.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))))
(if (<=.f64 (.f64 y z) #s(literal -5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 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 -26000000000000001318822311222388965728210640084799624504473686782301753621021141108981975267516558266507880351329490043361046856276863336490571782946816 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal 23499999999999998703524694157226964250902192962612416761706990736587464313755825948858515456 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 -1199999999999999986525397483826023378631190437009850848342401474367998865506641972700338279848365229205602570563964134887081226759185125867520 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal -1700000000000000000 binary64)) t (if (<=.f64 (.f64 y z) #s(literal 4168515212543383/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 (.f64 y z) #s(literal 34000000000000000895867650950471349374015048004926397334570385509225151440961237732439359488 binary64)) t (.f64 #s(literal -1/2 binary64) (*.f64 y z))))))
(if (<=.f64 t #s(literal -2091946924697607/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) t (if (<=.f64 t #s(literal 21000000000000000109466319800533327489424949248 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
t

Outputs
(fma.f64 (/.f64 z #s(literal -2 binary64)) y (+.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 #s(literal 1/8 binary64) x) (+.f64 t (/.f64 (.f64 z y) #s(literal -2 binary64))))
(if (<=.f64 (.f64 y z) #s(literal -5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (+.f64 t (.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
(if (<=.f64 (.f64 z y) #s(literal -5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (+.f64 t (.f64 (.f64 z y) #s(literal -1/2 binary64))) (if (<=.f64 (.f64 z y) #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (+.f64 t (.f64 (*.f64 z y) #s(literal -1/2 binary64)))))
(if (<=.f64 (.f64 y z) #s(literal -26000000000000001318822311222388965728210640084799624504473686782301753621021141108981975267516558266507880351329490043361046856276863336490571782946816 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal 23499999999999998703524694157226964250902192962612416761706990736587464313755825948858515456 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(if (<=.f64 (.f64 z y) #s(literal -26000000000000001318822311222388965728210640084799624504473686782301753621021141108981975267516558266507880351329490043361046856276863336490571782946816 binary64)) (.f64 (.f64 z y) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 z y) #s(literal 23499999999999998703524694157226964250902192962612416761706990736587464313755825948858515456 binary64)) (-.f64 t (.f64 x #s(literal -1/8 binary64))) (.f64 (*.f64 z y) #s(literal -1/2 binary64))))
(if (<=.f64 (.f64 y z) #s(literal -1199999999999999986525397483826023378631190437009850848342401474367998865506641972700338279848365229205602570563964134887081226759185125867520 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y z)) (if (<=.f64 (.f64 y z) #s(literal -1700000000000000000 binary64)) t (if (<=.f64 (.f64 y z) #s(literal 4168515212543383/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 (.f64 y z) #s(literal 34000000000000000895867650950471349374015048004926397334570385509225151440961237732439359488 binary64)) t (.f64 #s(literal -1/2 binary64) (*.f64 y z))))))
(if (<=.f64 (.f64 z y) #s(literal -1199999999999999986525397483826023378631190437009850848342401474367998865506641972700338279848365229205602570563964134887081226759185125867520 binary64)) (.f64 (.f64 z y) #s(literal -1/2 binary64)) (if (<=.f64 (.f64 z y) #s(literal -1700000000000000000 binary64)) t (if (<=.f64 (.f64 z y) #s(literal 4168515212543383/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 (.f64 z y) #s(literal 34000000000000000895867650950471349374015048004926397334570385509225151440961237732439359488 binary64)) t (.f64 (*.f64 z y) #s(literal -1/2 binary64))))))
(if (<=.f64 t #s(literal -2091946924697607/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) t (if (<=.f64 t #s(literal 21000000000000000109466319800533327489424949248 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
t

soundness1.2s (16.7%)

Rules

4456×	`-lowering-.f32`
4456×	`-lowering-.f64`
2758×	`/-lowering-/.f32`
2758×	`/-lowering-/.f64`
2522×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	55	26
2	536	26
3	7590	26
0	8350	26
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
1×	iter limit
1×	node limit

Compiler

Compiled 406 to 252 computations (37.9% saved)

preprocess88.0ms (1.3%)

Remove: (sort y z)
Compiler: Compiled 392 to 188 computations (52% saved)

analyze0.0ms (0%)

sample1.0s (14.5%)

preprocess270.0ms (3.8%)

explain163.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize45.0ms (0.6%)

series8.0ms (0.1%)

rewrite341.0ms (4.8%)

simplify173.0ms (2.5%)

eval38.0ms (0.5%)

prune81.0ms (1.2%)

simplify93.0ms (1.3%)

localize64.0ms (0.9%)

series4.0ms (0.1%)

rewrite296.0ms (4.2%)

simplify187.0ms (2.7%)

eval56.0ms (0.8%)

prune258.0ms (3.7%)

simplify212.0ms (3%)

localize98.0ms (1.4%)

series58.0ms (0.8%)

rewrite349.0ms (5%)

simplify343.0ms (4.9%)

eval164.0ms (2.3%)

prune154.0ms (2.2%)

simplify394.0ms (5.6%)

localize54.0ms (0.8%)

series18.0ms (0.3%)

rewrite215.0ms (3.1%)

simplify164.0ms (2.3%)

eval28.0ms (0.4%)

prune27.0ms (0.4%)

regimes67.0ms (1%)

regimes48.0ms (0.7%)

regimes19.0ms (0.3%)

regimes7.0ms (0.1%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch37.0ms (0.5%)

bsearch141.0ms (2%)

bsearch43.0ms (0.6%)

simplify14.0ms (0.2%)

soundness1.2s (16.7%)

preprocess88.0ms (1.3%)

end0.0ms (0%)

Profiling