Metrics for Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample683.0ms (26.5%)

Results

509.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 80.0ms (55.2% of total)

ival-sub: 54.0ms (37.3% of total)

const: 8.0ms (5.5% of total)

backward-pass: 3.0ms (2.1% of total)

Bogosity

preprocess62.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

632×	`fnmadd-define`
500×	`fmsub-define`
494×	`fnmsub-define`
488×	`sum5-define`
462×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	44	25
2	136	24
3	368	24
4	1051	24
5	1953	24
6	2318	24
7	2351	24
0	4	4
1	9	4
2	16	4
3	27	4
4	45	4
5	84	4
6	194	4
7	532	4
8	1217	4
9	1339	4
10	1369	4
0	1369	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* x y) x)

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

Call 2

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

Outputs
(- (* x y) x)
(fmsub x y x)
(- (* (neg x) y) (neg x))
(fnmadd x y x)
(- (* x (neg y)) x)
(fnmsub x y x)
(neg (- (* (neg x) y) (neg x)))
(fmsub x y x)
(neg (- (* x (neg y)) x))
(fma x y x)
(- (* y x) y)
(fmsub x y y)

Symmetry

(negabs x)

explain69.0ms (2.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`(-.f64 (*.f64 x y) x)`
-	-	`y`

Results

50.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

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

ival-sub: 20.0ms (78% of total)

ival-mult: 4.0ms (15.6% of total)

const: 1.0ms (3.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x y) x)
▶	100.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify26.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

488×	`sum5-define`
390×	`sum3-define`
372×	`fnmadd-define`
254×	`fma-define`
210×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	19	19
2	29	19
3	36	19
4	52	19
5	91	19
6	201	19
7	539	19
8	1224	19
9	1346	19
10	1376	19
0	1376	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (+ y -1))
x
(+ y -1)
y
-1
(- (* x y) x)
(* x y)
x
y

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

localize37.0ms (1.5%)

Localize:

Found 4 expressions of interest:

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

Results

29.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (48.6% of total)

ival-sub: 2.0ms (24.3% of total)

ival-add: 2.0ms (24.3% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (* x (+ y -1))>
#<alt (+ y -1)>
#<alt (- (* x y) x)>
#<alt (* x y)>

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

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* x y)
1.0ms	y	@	-inf	(- (* x y) x)
1.0ms	y	@	-inf	(* x (+ y -1))
1.0ms	x	@	0	(* x (+ y -1))
0.0ms	x	@	inf	(- (* x y) x)

rewrite349.0ms (13.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3168×	`-lowering-.f32`
3168×	`-lowering-.f64`
1652×	`/-lowering-/.f32`
1652×	`/-lowering-/.f64`
1630×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	45	14
2	316	14
3	3095	14
0	8511	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 339

Calls

Call 1

Inputs
(* x (+ y -1))
(+ y -1)
(- (* x y) x)
(* x y)

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

simplify192.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

1538×	`fmsub-define`
1534×	`fnmsub-define`
1504×	`-lowering-.f32`
1504×	`-lowering-.f64`
1298×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	328
1	85	286
2	222	286
3	437	286
4	1150	286
5	4255	286
6	6897	286
7	7442	286
8	7602	286
9	7632	286
10	7664	286
0	8138	286

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

Outputs
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x (- y 1))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* x y) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(- (* x y) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(- (* x y) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* y (+ x (* -1 (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval56.0ms (2.2%)

Compiler: Compiled 10836 to 602 computations (94.4% saved)

prune27.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	421	2	423
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	421	4	425

Accuracy

100.0%

Counts

425 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
▶	55.1%	(-.f64 #s(literal 0 binary64) x)
✓	100.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
▶	47.1%	(*.f64 x y)

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

18×	`sum3-define`
12×	`fma-define`
12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
8×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	8	9
2	12	9
3	18	9
4	23	9
5	33	9
6	49	9
7	50	9
0	50	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x y)
x
y
(- 0 x)
0
x

Outputs
(* x y)
(*.f64 x y)
x
y
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x

localize26.0ms (1%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(*.f64 x y)

Results

20.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-mult: 2.0ms (50.5% of total)

ival-sub: 1.0ms (25.2% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (* x y)>
#<alt (- 0 x)>

Outputs
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

9 calls:

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

rewrite95.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`/-lowering-/.f32`
514×	`/-lowering-/.f64`
442×	`-lowering-.f32`
442×	`-lowering-.f64`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	21	5
2	154	5
0	1678	5

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

2 → 64

Calls

Call 1

Inputs
(* x y)
(- 0 x)

Outputs
(+.f64 (.f64 x y) (.f64 y #s(literal 0 binary64)))
(+.f64 (.f64 x y) (.f64 #s(literal 0 binary64) y))
(+.f64 (.f64 y #s(literal 0 binary64)) (.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) y) (.f64 x y))
(/.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 y (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 x (.f64 x x)) y) (.f64 x x))
(*.f64 x y)
(*.f64 y x)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 (.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))

simplify19.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

18×	`sum3-define`
12×	`fma-define`
12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
8×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	96
1	8	96
2	10	96
3	11	96
4	13	96
5	19	96
6	23	96
7	33	96
8	49	96
9	50	96
0	50	96

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval9.0ms (0.3%)

Compiler: Compiled 943 to 118 computations (87.5% saved)

prune10.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	100	4	104

Accuracy

100.0%

Counts

104 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	47.1%	(*.f64 x y)
▶	55.1%	(neg.f64 x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 x)

Rules

8×	`sum3-define`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`
6×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	3
1	6	3
2	8	3
3	10	3
4	16	3
5	20	3
6	26	3
7	29	3
0	29	3

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg x)
x

Outputs
(neg x)
(-.f64 #s(literal 0 binary64) x)
x

localize15.0ms (0.6%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)

Results

10.0ms

256×

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-neg: 1.0ms (50.8% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (neg x)>

Outputs
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(neg x)
0.0ms	x	@	-inf	(neg x)

rewrite90.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`/-lowering-/.f32`
510×	`/-lowering-/.f64`
434×	`-lowering-.f32`
434×	`-lowering-.f64`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
1	6	2
2	21	2
3	151	2
0	1670	2

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

1 → 56

Calls

Call 1

Inputs
(neg x)

Outputs
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (.f64 x x) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (/.f64 (.f64 x x) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`sum3-define`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`
6×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	24
1	5	24
2	7	24
3	8	24
4	10	24
5	16	24
6	20	24
7	26	24
8	29	24
0	29	24

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval6.0ms (0.2%)

Compiler: Compiled 800 to 104 computations (87% saved)

prune17.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	68	4	72

Accuracy

100.0%

Counts

72 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	47.1%	(*.f64 x y)
✓	55.1%	(neg.f64 x)

Compiler

Compiled 43 to 25 computations (41.9% saved)

regimes7.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x y)
(-.f64 #s(literal 0 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(-.f64 (*.f64 x y) x)

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

Calls

3 calls:

2.0ms	(-.f64 (*.f64 x y) x)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x y)
(-.f64 #s(literal 0 binary64) x)

Outputs
(*.f64 x y)
(neg.f64 x)
(*.f64 x y)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
61.2%	4	`x`
97.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
55.1%	1	`x`
55.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.2758263382744484e-10	1.5121602639823997
6.0ms	-1.3602102368912798	-0.472676521078622

Results

11.0ms

240×

valid

Compiler

Compiled 177 to 128 computations (27.7% saved)

Precisions

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

ival-mult: 2.0ms (56.5% of total)

ival-sub: 1.0ms (28.3% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	23	21
2	25	21
3	26	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (.f64 x y)))
(neg.f64 x)

Outputs
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (.f64 x y)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x) (.f64 x y)))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)

soundness680.0ms (26.4%)

Rules

1538×	`fmsub-define`
1534×	`fnmsub-define`
1504×	`-lowering-.f32`
1504×	`-lowering-.f64`
1298×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	21	5
2	154	5
0	1678	5
0	27	328
1	85	286
2	222	286
3	437	286
4	1150	286
5	4255	286
6	6897	286
7	7442	286
8	7602	286
9	7632	286
10	7664	286
0	8138	286
0	4	4
1	9	4
2	16	4
3	27	4
4	45	4
5	84	4
6	194	4
7	532	4
8	1217	4
9	1339	4
10	1369	4
0	1369	4

Stop Event

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

Compiler

Compiled 78 to 50 computations (35.9% saved)

preprocess38.0ms (1.5%)

Remove: (negabs x)
Compiler: Compiled 110 to 64 computations (41.8% saved)

Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1

analyze0.0ms (0%)

sample683.0ms (26.5%)

preprocess62.0ms (2.4%)

explain69.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (1%)

localize37.0ms (1.5%)

series8.0ms (0.3%)

rewrite349.0ms (13.5%)

simplify192.0ms (7.5%)

eval56.0ms (2.2%)

prune27.0ms (1.1%)

simplify6.0ms (0.2%)

localize26.0ms (1%)

series0.0ms (0%)

rewrite95.0ms (3.7%)

simplify19.0ms (0.7%)

eval9.0ms (0.3%)

prune10.0ms (0.4%)

simplify5.0ms (0.2%)

localize15.0ms (0.6%)

series0.0ms (0%)

rewrite90.0ms (3.5%)

simplify7.0ms (0.3%)

eval6.0ms (0.2%)

prune17.0ms (0.7%)

regimes7.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch19.0ms (0.8%)

simplify9.0ms (0.4%)

soundness680.0ms (26.4%)

preprocess38.0ms (1.5%)

end0.0ms (0%)

Profiling