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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (11.2%)

Results

753.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 437.0ms

ival-div: 158.0ms (36.2% of total)

ival-mult: 150.0ms (34.3% of total)

ival-add: 59.0ms (13.5% of total)

ival-sub: 48.0ms (11% of total)

const: 19.0ms (4.3% of total)

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

Bogosity

preprocess139.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

704×	`accelerator-lowering-fma.f32`
704×	`accelerator-lowering-fma.f64`
644×	`sub-neg`
348×	`unsub-neg`
342×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	175
1	164	166
2	405	165
3	1036	165
4	2181	165
5	2917	165
6	3116	165
7	3141	165
8	3150	165
9	3150	165
10	3152	165
11	3158	165
0	14	11
1	25	11
2	51	11
3	102	11
4	183	11
5	311	11
6	486	11
7	669	11
8	799	11
9	801	11
0	801	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort y z)

explain153.0ms (1.6%)

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

97.0ms

512×

valid

Compiler

Compiled 121 to 79 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 26.0ms (49.3% of total)

ival-mult: 15.0ms (28.4% of total)

ival-sub: 6.0ms (11.4% of total)

ival-add: 3.0ms (5.7% of total)

const: 3.0ms (5.7% of total)

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

eval3.0ms (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 t (+.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 x #s(literal -1/8 binary64))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize104.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 (*.f64 y z) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 x #s(literal -1/8 binary64)))
✓	cost-diff	0	(-.f64 t (+.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(-.f64 t (+.f64 (/.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	100.0%	(/.f64 (*.f64 y z) #s(literal 2 binary64))

Rules

704×	`accelerator-lowering-fma.f32`
704×	`accelerator-lowering-fma.f64`
320×	`-lowering-.f32`
320×	`-lowering-.f64`
174×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	20	37
2	46	37
3	100	37
4	210	37
5	355	37
6	567	37
7	766	37
8	795	37
0	795	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

35.0ms

256×

valid

Compiler

Compiled 42 to 23 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (39.4% of total)

ival-div: 5.0ms (28.2% of total)

ival-add: 3.0ms (16.9% of total)

ival-sub: 1.0ms (5.6% of total)

const: 1.0ms (5.6% of total)

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

series13.0ms (0.1%)

Counts

5 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite735.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

7758×	`accelerator-lowering-fma.f32`
7758×	`accelerator-lowering-fma.f64`
4634×	`-lowering-.f32`
4634×	`-lowering-.f64`
2800×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	55	31
2	507	31
3	6710	31
0	8119	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 274

Calls

Call 1

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

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

simplify667.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

15364×	`accelerator-lowering-fma.f32`
15364×	`accelerator-lowering-fma.f64`
3254×	`-lowering-.f32`
3254×	`-lowering-.f64`
1274×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	959
1	283	958
2	798	958
3	2382	958
4	6530	958
0	8148	855

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval103.0ms (1.1%)

Compiler: Compiled 12771 to 7212 computations (43.5% saved)

prune53.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	411	7	418
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	412	7	419

Accuracy

100.0%

Counts

419 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 t (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y z))) (.f64 x #s(literal -1/8 binary64))))
	69.3%	(-.f64 t (.f64 y (.f64 #s(literal 1/2 binary64) z)))
▶	64.3%	(-.f64 t (*.f64 #s(literal -1/8 binary64) x))
	67.2%	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/8 binary64)))
▶	37.2%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
▶	31.7%	(*.f64 x #s(literal 1/8 binary64))
▶	34.5%	t

Compiler

Compiled 142 to 110 computations (22.5% saved)

localize267.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) x)
✓	cost-diff	0	(-.f64 t (*.f64 #s(literal -1/8 binary64) x))
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 y z))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y z))) (.f64 x #s(literal -1/8 binary64)))
✓	cost-diff	128	(-.f64 t (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y z))) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	100.0%	(-.f64 t (*.f64 #s(literal -1/8 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) x)
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(-.f64 t (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y z))) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (*.f64 y z))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))

Rules

896×	`accelerator-lowering-fma.f32`
896×	`accelerator-lowering-fma.f64`
624×	`times-frac`
512×	`-lowering-.f32`
512×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	64
1	43	64
2	79	64
3	153	64
4	351	64
5	629	64
6	915	64
7	1350	64
8	1705	64
9	2113	64
10	2352	64
11	2378	64
12	2380	64
13	2380	64
0	2380	60

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

68.0ms

256×

valid

Compiler

Compiled 82 to 47 computations (42.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 17.0ms (46.2% of total)

ival-div: 12.0ms (32.6% of total)

ival-sub: 3.0ms (8.1% of total)

ival-add: 3.0ms (8.1% of total)

const: 2.0ms (5.4% of total)

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

series18.0ms (0.2%)

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite937.0ms (9.6%)

Algorithm

1×	batch-egg-rewrite

Rules

11586×	`accelerator-lowering-fma.f32`
11586×	`accelerator-lowering-fma.f64`
5574×	`-lowering-.f32`
5574×	`-lowering-.f64`
3604×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	99	52
2	703	52
0	8319	48

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 555

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (*.f64 y (/.f64 z #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))
(/.f64 z (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (*.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(/.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 0 binary64) (*.f64 y z)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(/.f64 (neg.f64 z) (/.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 y z) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 y z)) (.f64 y (/.f64 z #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (/.f64 z #s(literal 2 binary64))))
(*.f64 y (/.f64 z #s(literal 2 binary64)))
(*.f64 y (/.f64 (/.f64 z #s(literal 2 binary64)) #s(literal 1 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 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y z) #s(literal 1/2 binary64))
(.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 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) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) #s(literal 1 binary64)))
(.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y z) #s(literal -2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y z)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) z)
(*.f64 (/.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) #s(literal -1 binary64))
(.f64 (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal -1/2 binary64)) (neg.f64 z))
(*.f64 (/.f64 z #s(literal 2 binary64)) y)
(*.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 z #s(literal 2 binary64)) (.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) y)
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)) (neg.f64 z))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 z #s(literal 2 binary64))) y)
(.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 z)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)) (neg.f64 z))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y z)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal 2 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 y z)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) y) z)
(/.f64 (/.f64 #s(literal 2 binary64) y) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 #s(literal -1 binary64) (neg.f64 z)))
(/.f64 (/.f64 #s(literal -2 binary64) y) (neg.f64 z))
(/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) z) y)
(/.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) z)) y)
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y)
(/.f64 (/.f64 #s(literal -2 binary64) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y z)))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 y z)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (.f64 y z)))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (.f64 y z)))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 y z)) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (.f64 y z)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 2 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y z)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (/.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+.f64 t (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))
(+.f64 (+.f64 t (.f64 x #s(literal 1/8 binary64))) (/.f64 (.f64 y z) #s(literal -2 binary64)))
(+.f64 (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))) t)
(+.f64 (.f64 x #s(literal 1/8 binary64)) (-.f64 t (.f64 y (/.f64 z #s(literal 2 binary64)))))
(+.f64 (-.f64 t (.f64 y (/.f64 z #s(literal 2 binary64)))) (.f64 x #s(literal 1/8 binary64)))
(+.f64 (/.f64 (.f64 t (.f64 t t)) (+.f64 (.f64 t t) (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (+.f64 (.f64 x #s(literal -1/8 binary64)) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) t))))) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))))) (+.f64 (.f64 t t) (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (+.f64 (.f64 x #s(literal -1/8 binary64)) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) t)))))))
(+.f64 (/.f64 (.f64 t t) (+.f64 (.f64 x #s(literal -1/8 binary64)) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) t))) (neg.f64 (/.f64 (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64)))) (+.f64 (.f64 x #s(literal -1/8 binary64)) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) t)))))
(+.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (+.f64 t (.f64 x #s(literal 1/8 binary64))))
(+.f64 (-.f64 t (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64)))))
(-.f64 t (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))))
(-.f64 t (-.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64))))
(-.f64 (+.f64 t (.f64 x #s(literal 1/8 binary64))) (.f64 y (/.f64 z #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) t))
(-.f64 (-.f64 t (.f64 y (/.f64 z #s(literal 2 binary64)))) (.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (.f64 t (.f64 t t)) (+.f64 (.f64 t t) (.f64 x (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 t #s(literal -1/8 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (+.f64 (.f64 t t) (.f64 x (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 t #s(literal -1/8 binary64)))))) (.f64 y (/.f64 z #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 t t) (+.f64 t (.f64 x #s(literal -1/8 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 t (.f64 x #s(literal -1/8 binary64)))) (.f64 y (/.f64 z #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 t (.f64 t t)) (+.f64 (.f64 t t) (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (+.f64 (.f64 x #s(literal -1/8 binary64)) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) t))))) (/.f64 (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))))) (+.f64 (.f64 t t) (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (+.f64 (.f64 x #s(literal -1/8 binary64)) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) t))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal 1/8 binary64))))))))
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(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (/.f64 (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -2 binary64) (.f64 y z)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 x x) #s(literal -1/64 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal 1/8 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z)))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (/.f64 (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -2 binary64) (.f64 y z)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (/.f64 (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -2 binary64) (.f64 y z)))))) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (.f64 y y) (.f64 z z)))) (.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (.f64 y y) (.f64 z z)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 x (*.f64 x #s(literal 1/64 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64))))))
(.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (/.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal 1/8 binary64)))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (/.f64 (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -2 binary64) (.f64 y z))))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (/.f64 (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -2 binary64) (.f64 y z)))) (.f64 (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (/.f64 (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -2 binary64) (.f64 y z)))))))
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(.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 x x) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal 1/8 binary64)))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) (neg.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (/.f64 (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -2 binary64) (.f64 y z)))))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (/.f64 (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal -2 binary64) (.f64 y z))))) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/8 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 (*.f64 x x) #s(literal -1/64 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 y y) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (*.f64 y z) #s(literal -2 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 x x) #s(literal -1/64 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (+.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal -1/8 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (.f64 y y) (.f64 z z)))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))) (-.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z)))))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (.f64 y y) (.f64 z z)))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64))))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 (.f64 x x) #s(literal -1/64 binary64))) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y y) (.f64 z z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 z z))) (.f64 x (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (*.f64 y z) #s(literal -1/16 binary64))))))

simplify583.0ms (6%)

Algorithm

1×	egg-herbie

Rules

14834×	`accelerator-lowering-fma.f32`
14834×	`accelerator-lowering-fma.f64`
3374×	`-lowering-.f32`
3374×	`-lowering-.f64`
1468×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1337
1	325	1336
2	899	1336
3	2639	1336
4	6761	1336
0	8167	1215

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval228.0ms (2.3%)

Compiler: Compiled 19619 to 11116 computations (43.3% saved)

prune127.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	782	1	783
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	783	7	790

Accuracy

100.0%

Counts

790 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 t (+.f64 (/.f64 z (/.f64 #s(literal 2 binary64) y)) (*.f64 x #s(literal -1/8 binary64))))
▶	69.3%	(-.f64 t (.f64 y (.f64 #s(literal 1/2 binary64) z)))
✓	64.3%	(-.f64 t (*.f64 #s(literal -1/8 binary64) x))
▶	67.2%	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/8 binary64)))
✓	37.2%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	31.7%	(*.f64 x #s(literal 1/8 binary64))
✓	34.5%	t

Compiler

Compiled 69 to 53 computations (23.2% saved)

localize328.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(/.f64 z (/.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(+.f64 (/.f64 z (/.f64 #s(literal 2 binary64) y)) (*.f64 x #s(literal -1/8 binary64)))
✓	cost-diff	0	(-.f64 t (+.f64 (/.f64 z (/.f64 #s(literal 2 binary64) y)) (*.f64 x #s(literal -1/8 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) z)
✓	cost-diff	0	(.f64 y (.f64 #s(literal 1/2 binary64) z))
✓	cost-diff	0	(-.f64 t (.f64 y (.f64 #s(literal 1/2 binary64) z)))
✓	cost-diff	0	(*.f64 x #s(literal 1/8 binary64))
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 z (/.f64 #s(literal 2 binary64) y)) (*.f64 x #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(-.f64 t (+.f64 (/.f64 z (/.f64 #s(literal 2 binary64) y)) (*.f64 x #s(literal -1/8 binary64))))
✓	accuracy	99.7%	(/.f64 z (/.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(.f64 y (.f64 #s(literal 1/2 binary64) z))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) z)
✓	accuracy	100.0%	(-.f64 t (.f64 y (.f64 #s(literal 1/2 binary64) z)))
✓	accuracy	100.0%	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/8 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/8 binary64))

Rules

720×	`accelerator-lowering-fma.f32`
720×	`accelerator-lowering-fma.f64`
336×	`-lowering-.f32`
336×	`-lowering-.f64`
224×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	75
1	44	75
2	100	75
3	188	75
4	340	75
5	559	75
6	862	75
7	1114	75
8	1330	75
9	1334	75
0	1334	70

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

162.0ms

256×

valid

Compiler

Compiled 86 to 52 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 89.0ms (67.8% of total)

ival-div: 33.0ms (25.1% of total)

ival-add: 4.0ms (3% of total)

ival-sub: 3.0ms (2.3% of total)

const: 2.0ms (1.5% of total)

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

series18.0ms (0.2%)

Counts

12 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

rewrite945.0ms (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

16160×	`accelerator-lowering-fma.f32`
16160×	`accelerator-lowering-fma.f64`
6080×	`-lowering-.f32`
6080×	`-lowering-.f64`
2222×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	66
1	106	66
2	987	66
0	9847	61

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 869

Calls

Call 1

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

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/8 binary64)))
(neg.f64 (*.f64 x #s(literal -1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) (-.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 0 binary64) (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y)) (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(neg.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(/.f64 z (/.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) z))
(/.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) (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z))))) (+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y (/.f64 z #s(literal -2 binary64)))
(.f64 z (.f64 y #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 z #s(literal -2 binary64)) y)
(.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 y z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y z) #s(literal -2 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) z))
(.f64 (.f64 y z) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 y #s(literal -1/2 binary64)) z)
(.f64 (neg.f64 (.f64 y z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) y)
(.f64 (.f64 (/.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)) z)
(.f64 (.f64 #s(literal -1 binary64) (/.f64 z #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) z) y) #s(literal 1/2 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 z #s(literal 2 binary64)))
(neg.f64 (/.f64 z #s(literal 2 binary64)))
(/.f64 z #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))
(+.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) (*.f64 x #s(literal -1/8 binary64)))
(+.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(+.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(+.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal -1/8 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))
(+.f64 (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))))
(+.f64 (.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) #s(literal -1 binary64)) (.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))))
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(-.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) (*.f64 x #s(literal -1/8 binary64)))
(-.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) (.f64 x #s(literal -1/8 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) (*.f64 x #s(literal 1/8 binary64))))
(-.f64 (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z)))) (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) #s(literal 8 binary64)) (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64)))))))
(-.f64 (+.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(fma.f64 x #s(literal -1/8 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(fma.f64 y (/.f64 z #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (/.f64 z #s(literal -2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (.f64 (/.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (.f64 (/.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 z (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y z) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 y z)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 y z)) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z)) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 (/.f64 z #s(literal -2 binary64)) y (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (/.f64 z #s(literal -2 binary64)) y (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (/.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (/.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (/.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (/.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (/.f64 z #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 (/.f64 z #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y z) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y z) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 y z)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 y z)) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (/.f64 z #s(literal 2 binary64)) y (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (/.f64 z #s(literal 2 binary64)) y (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (/.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (/.f64 z #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) #s(literal -1 binary64) (.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/8 binary64) x (/.f64 y (/.f64 #s(literal 2 binary64) z)))
(fma.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(fma.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal -1 binary64) (.f64 (/.f64 y (/.f64 #s(literal 2 binary64) z)) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -1/8 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64))))) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z))))) (+.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z))))) (neg.f64 (+.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (.f64 (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))))) (+.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))))) (neg.f64 (+.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 y z) #s(literal -2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))))) (+.f64 (/.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))) (.f64 (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (*.f64 y z) #s(literal -1/16 binary64)))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (*.f64 y z) #s(literal -1/16 binary64))))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (+.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (*.f64 y z) #s(literal -1/16 binary64)))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (*.f64 y z) #s(literal -1/16 binary64))))))))
(.f64 (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64))))) (.f64 (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y z) #s(literal -1/16 binary64))))))))
(.f64 (-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 y z) #s(literal -2 binary64)))))
(.f64 (-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 y z) #s(literal -2 binary64))))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 y z) #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 y z) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64)))) (-.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (*.f64 x #s(literal 1/64 binary64)))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 #s(literal 2 binary64) z)))))
(.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))) (/.f64 (+.f64 (.f64 x #s(literal 1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 x (-.f64 (.f64 x #s(literal 1/64 binary64)) (.f64 (*.f64 y z) #s(literal -1/16 binary64))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) y)
(/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y))
(*.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))

simplify687.0ms (7%)

Algorithm

1×	egg-herbie

Rules

12330×	`accelerator-lowering-fma.f32`
12330×	`accelerator-lowering-fma.f64`
3768×	`-lowering-.f32`
3768×	`-lowering-.f64`
2012×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1768
1	353	1768
2	1043	1768
3	3225	1768
4	6992	1768
0	8082	1611

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval239.0ms (2.5%)

Compiler: Compiled 19782 to 11328 computations (42.7% saved)

prune188.0ms (1.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1156	1	1157
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	1158	6	1164

Accuracy

100.0%

Counts

1164 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.2%	(-.f64 t (/.f64 z (/.f64 #s(literal 2 binary64) y)))
✓	64.3%	(-.f64 t (*.f64 #s(literal -1/8 binary64) x))
✓	67.2%	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/8 binary64)))
✓	37.2%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	31.7%	(*.f64 x #s(literal 1/8 binary64))
✓	34.5%	t

Compiler

Compiled 54 to 42 computations (22.2% saved)

localize91.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(/.f64 z (/.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(-.f64 t (/.f64 z (/.f64 #s(literal 2 binary64) y)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(-.f64 t (/.f64 z (/.f64 #s(literal 2 binary64) y)))
✓	accuracy	99.7%	(/.f64 z (/.f64 #s(literal 2 binary64) y))

Rules

320×	`accelerator-lowering-fma.f32`
320×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
116×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	11	19
2	28	19
3	63	19
4	110	19
5	163	19
6	232	19
7	293	19
8	415	19
9	563	19
10	781	19
11	796	19
0	796	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

40.0ms

256×

valid

Compiler

Compiled 24 to 15 computations (37.5% saved)

Precisions

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

ival-div: 14.0ms (85.7% of total)

ival-sub: 1.0ms (6.1% of total)

const: 1.0ms (6.1% of total)

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

series3.0ms (0%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite580.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4338×	`accelerator-lowering-fma.f32`
4338×	`accelerator-lowering-fma.f64`
4230×	`-lowering-.f32`
4230×	`-lowering-.f64`
2736×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	40	15
2	332	15
3	4009	15
0	8273	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 186

Calls

Call 1

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

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

simplify700.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

18320×	`accelerator-lowering-fma.f32`
18320×	`accelerator-lowering-fma.f64`
3520×	`/-lowering-/.f32`
3520×	`/-lowering-/.f64`
2476×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	374
1	107	374
2	264	374
3	895	374
4	2564	374
5	4488	374
6	5514	374
7	5911	374
8	6123	374
9	6238	374
10	6281	374
0	8355	347

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval96.0ms (1%)

Compiler: Compiled 5037 to 2450 computations (51.4% saved)

prune38.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	258	6	264

Accuracy

100.0%

Counts

264 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(-.f64 t (/.f64 z (/.f64 #s(literal 2 binary64) y)))
✓	64.3%	(-.f64 t (*.f64 #s(literal -1/8 binary64) x))
✓	67.2%	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/8 binary64)))
✓	37.2%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	31.7%	(*.f64 x #s(literal 1/8 binary64))
✓	34.5%	t

Compiler

Compiled 143 to 98 computations (31.5% saved)

regimes36.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

regimes13.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	z
3.0ms	t
3.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes37.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	z
10.0ms	x
9.0ms	y
7.0ms	t

Results

Accuracy	Segments	Branch
86.8%	6	`x`
88.7%	4	`y`
87.2%	7	`z`
91.6%	3	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes15.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	t
6.0ms	y

Results

Accuracy	Segments	Branch
86.6%	3	`y`
77.8%	7	`t`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
5.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
78.9%	3	`z`
71.8%	5	`x`
80.5%	3	`y`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes27.0ms (0.3%)

Counts

3 → 9

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
7.0ms	z
7.0ms	t
5.0ms	x

Results

Accuracy	Segments	Branch
55.1%	6	`x`
66.1%	9	`t`
61.2%	9	`z`
62.7%	8	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
56.1%	3	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

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	y
0.0ms	t
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
34.5%	1	`x`
34.5%	1	`z`
34.5%	1	`y`
34.5%	1	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.142275266309303e+39	8.515071556608996e+43
10.0ms	-2.2776830581308737e+104	-6.906884449781174e+103

Results

17.0ms

208×

valid

Compiler

Compiled 362 to 279 computations (22.9% saved)

Precisions

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

ival-div: 3.0ms (33.9% of total)

ival-mult: 3.0ms (33.9% of total)

ival-sub: 2.0ms (22.6% of total)

ival-add: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.556073225122168e-74	1.1518347500454869e-64
11.0ms	-1.9754610115013736e+103	-3.7948833122422294e+102

Results

21.0ms

240×

valid

Compiler

Compiled 354 to 274 computations (22.6% saved)

Precisions

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

ival-div: 4.0ms (38.7% of total)

ival-mult: 3.0ms (29% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

const: 1.0ms (9.7% of total)

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.1518347500454869e-64	4.4778374258013894e-61
12.0ms	-1.4948180695695794e+124	-1.1991376155371285e+123

Results

19.0ms

224×

valid

Compiler

Compiled 304 to 243 computations (20.1% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch234.0ms (2.4%)

Algorithm

8×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	8.515071556608996e+43	5.4828310727723497e+45
18.0ms	1.5192070125506177e-124	5.058526716226008e-118
19.0ms	1.778543389711128e-249	1.4144241437168715e-237
17.0ms	1.5944529297254292e-275	1.270136428274556e-270
15.0ms	-6.563453350110249e-255	-3.661963618881854e-259
15.0ms	-4.666980865586153e-165	-9.549897021481771e-169
17.0ms	-0.0031194259019051134	-6.767444192506622e-9
19.0ms	-4.477413192160969e+137	-8.938959599229977e+126

Results

94.0ms

1120×

valid

Compiler

Compiled 1250 to 1035 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 17.0ms (34% of total)

ival-mult: 16.0ms (32% of total)

ival-sub: 8.0ms (16% of total)

ival-add: 6.0ms (12% of total)

const: 2.0ms (4% of total)

backward-pass: 1.0ms (2% of total)

bsearch59.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.142275266309303e+39	8.515071556608996e+43
40.0ms	-2.2776830581308737e+104	-6.906884449781174e+103

Results

49.0ms

208×

valid

Compiler

Compiled 206 to 175 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 35.0ms (84.8% of total)

ival-div: 3.0ms (7.3% of total)

ival-add: 2.0ms (4.8% of total)

ival-sub: 1.0ms (2.4% of total)

const: 1.0ms (2.4% of total)

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

soundness2.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 184 to 120 computations (34.8% saved)

preprocess85.0ms (0.9%)

Remove: (sort y z)
Compiler: Compiled 552 to 376 computations (31.9% saved)

Iter	Nodes	Cost
0	7	19
1	11	19
2	28	19
3	63	19
4	110	19
5	163	19
6	232	19
7	293	19
8	415	19
9	563	19
10	781	19
11	796	19
0	796	18

Iter	Nodes	Cost
0	7	19
1	11	19
2	28	19
3	63	19
4	110	19
5	163	19
6	232	19
7	293	19
8	415	19
9	563	19
10	781	19
11	796	19
0	796	18

analyze0.0ms (0%)

sample1.1s (11.2%)

preprocess139.0ms (1.4%)

explain153.0ms (1.6%)

eval3.0ms (0%)

prune1.0ms (0%)

localize104.0ms (1.1%)

series13.0ms (0.1%)

rewrite735.0ms (7.5%)

simplify667.0ms (6.8%)

eval103.0ms (1.1%)

prune53.0ms (0.5%)

localize267.0ms (2.7%)

series18.0ms (0.2%)

rewrite937.0ms (9.6%)

simplify583.0ms (6%)

eval228.0ms (2.3%)

prune127.0ms (1.3%)

localize328.0ms (3.4%)

series18.0ms (0.2%)

rewrite945.0ms (9.7%)

simplify687.0ms (7%)

eval239.0ms (2.5%)

prune188.0ms (1.9%)

localize91.0ms (0.9%)

series3.0ms (0%)

rewrite580.0ms (5.9%)

simplify700.0ms (7.2%)

eval96.0ms (1%)

prune38.0ms (0.4%)

regimes36.0ms (0.4%)

regimes13.0ms (0.1%)

regimes37.0ms (0.4%)

regimes15.0ms (0.2%)

regimes15.0ms (0.2%)

regimes27.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch27.0ms (0.3%)

bsearch32.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch234.0ms (2.4%)

bsearch59.0ms (0.6%)

soundness2.0ms (0%)

preprocess85.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
1	11	19
2	28	19
3	63	19
4	110	19
5	163	19
6	232	19
7	293	19
8	415	19
9	563	19
10	781	19
11	796	19
0	796	18