Metrics for Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2

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 10 to 7 computations (30% 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)

sample753.0ms (10.1%)

Results

528.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-mult: 160.0ms (62.6% of total)

ival-sub: 80.0ms (31.3% of total)

const: 12.0ms (4.7% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess139.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

2106×	`fnmadd-define`
1826×	`sum3-define`
1564×	`sum3-define`
1560×	`sum5-define`
1252×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	60	44
2	225	42
3	802	37
4	2435	36
5	6343	36
6	7201	36
7	7203	36
8	7203	36
0	6	7
1	14	7
2	37	7
3	84	6
4	210	6
5	344	6
6	556	6
7	917	6
8	2932	6
9	3357	6
10	3557	6
11	3557	6
12	3581	6
0	3581	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(* (* x y) (- 1 y))
(* x (- y (square y)))
(* (* (neg x) y) (- 1 y))
(* x (- (square y) y))
(* (* x (neg y)) (- 1 (neg y)))
(* x (fnmsub y y y))
(neg (* (* (neg x) y) (- 1 y)))
(* x (- y (square y)))
(neg (* (* x (neg y)) (- 1 (neg y))))
(* x (+ y (square y)))
(* (* y x) (- 1 x))
(* x (fnmadd x y y))

Symmetry

(negabs x)

explain70.0ms (0.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`#s(literal 1 binary64)`
-	-	`y`
-	-	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
-	-	`(-.f64 #s(literal 1 binary64) y)`

Results

52.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (54.6% of total)

ival-sub: 4.0ms (31.2% of total)

const: 1.0ms (7.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	95.5%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

1826×	`sum3-define`
1202×	`fma-define`
836×	`fnmadd-define`
552×	`fma-lowering-fma.f32`
552×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	16	34
2	38	34
3	83	31
4	207	31
5	340	31
6	552	31
7	913	31
8	2928	31
9	3353	31
10	3553	31
11	3553	31
12	3577	31
0	3577	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize69.0ms (0.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓	accuracy	95.5%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))

Results

55.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

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

ival-mult: 6.0ms (69.2% of total)

ival-sub: 2.0ms (23.1% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

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

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

24 calls:

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

rewrite348.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3664×	`-lowering-.f32`
3664×	`-lowering-.f64`
3532×	`/-lowering-/.f32`
3532×	`/-lowering-/.f64`
1816×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	29	25
2	170	25
3	1463	22
0	10011	22

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 857

Calls

Call 1

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

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

simplify144.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1706×	`-lowering-.f32`
1706×	`-lowering-.f64`
1640×	`unsub-neg`
1512×	`fmsub-define`
1420×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	482
1	85	434
2	202	425
3	491	425
4	1272	425
5	4956	425
0	8266	425

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -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 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
y
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) 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)
(* x y)
(*.f64 x y)

eval162.0ms (2.2%)

Compiler: Compiled 34736 to 2467 computations (92.9% saved)

prune147.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1193	5	1198
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	1193	7	1200

Accuracy

100.0%

Counts

1200 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(-.f64 (.f64 x y) (.f64 (*.f64 x y) y))
▶	54.4%	(.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	95.5%	(.f64 x (-.f64 y (.f64 y y)))
▶	76.5%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))))
✓	95.5%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
▶	60.9%	(*.f64 x y)

Compiler

Compiled 148 to 84 computations (43.2% saved)

simplify163.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 y y)))
✓	cost-diff	0	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))))
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
✓	cost-diff	384	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (.f64 x y) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(-.f64 (.f64 x y) (.f64 (*.f64 x y) y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 y (*.f64 y y))
✓	cost-diff	0	(.f64 x (-.f64 y (.f64 y y)))

Rules

2752×	`-lowering-.f32`
2752×	`-lowering-.f64`
2098×	`sum4-define`
1960×	`sum5-define`
1764×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	149
1	71	144
2	210	143
3	757	130
4	2680	127
5	6379	127
0	8268	127

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize134.0ms (1.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
✓	accuracy	99.8%	(/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
✓	accuracy	95.5%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))))
✓	accuracy	79.6%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 y y)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	100.0%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	accuracy	84.6%	(.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 (.f64 x y) y)
✓	accuracy	94.5%	(-.f64 (.f64 x y) (.f64 (*.f64 x y) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 y (*.f64 y y))
✓	accuracy	95.5%	(.f64 x (-.f64 y (.f64 y y)))

Results

95.0ms

256×

valid

Compiler

Compiled 177 to 23 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 14.0ms (35.8% of total)

ival-mult: 13.0ms (33.3% of total)

ival-div: 9.0ms (23% of total)

ival-sub: 3.0ms (7.7% of total)

const: 1.0ms (2.6% of total)

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

series23.0ms (0.3%)

Counts

16 → 276

Calls

Call 1

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

Outputs
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<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 (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt y>
#<alt (* y (+ 1 (pow y 2)))>
#<alt (* y (+ 1 (pow y 2)))>
#<alt (* y (+ 1 (pow y 2)))>
#<alt (pow y 3)>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (pow y 3)>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* y (- x (* -1 x))) x))))>
#<alt (* y (+ x (* y (- (* y (- (+ x (* y (- (* -1 x) x))) (* -1 x))) x))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ x y))))>
#<alt (* (pow y 2) (- (+ x (/ x (pow y 2))) (+ (* -1 (/ x (pow y 2))) (/ x y))))>
#<alt (* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 2)))) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 3))))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (- (+ x (* -1 (/ x y))) (/ x y)) y))))>
#<alt (* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- (* -1 x) x)) (* -1 (/ x y))) (/ x y)) y))) y))))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* y (- (* x y) x)))>
#<alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ x y))) y)>
#<alt (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)>
#<alt (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ x y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 (* y (+ 1 (* 2 y)))))>
#<alt (* y (+ 1 (* y (+ 1 (* y (+ 2 (* 2 y)))))))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 y))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 2 (* 2 (/ 1 y))) (pow y 2))) (+ 1 (/ 1 y))))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 y))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 y)) (/ 2 (pow y 2)))) y)) 1))>
#<alt (* -1 y)>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* -1 y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))>
#<alt (* x y)>
#<alt (* y (+ x (* x y)))>
#<alt (* y (+ x (* y (+ x (* -1 (* y (- (* -1 x) x)))))))>
#<alt (* y (+ x (* y (+ x (* y (+ (* -1 (* y (- (* -1 x) x))) (* -1 (- (* -1 x) x))))))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (* -1 (/ (- x (* -1 x)) (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (+ (* -1 (/ (- x (* -1 x)) (pow y 2))) (* -1 (/ (- x (* -1 x)) (pow y 3)))))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (* -1 x) x) y))) y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- x (* -1 x)) y))) x) y))) y))))>
#<alt -1>
#<alt (- (* -2 (pow y 2)) 1)>
#<alt (- (* (pow y 2) (- (* -2 (pow y 2)) 2)) 1)>
#<alt (- (* (pow y 2) (- (* (pow y 2) (- (* -2 (pow y 2)) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow y 2))) (/ 2 (pow y 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow y 2))) (+ (* 2 (/ 1 (pow y 6))) (/ 2 (pow y 4)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow y 2))) (/ 2 (pow y 4))))>
#<alt (+ 1 (+ (* 2 (/ 1 (pow y 2))) (+ (* 2 (/ 1 (pow y 6))) (/ 2 (pow y 4)))))>
#<alt y>
#<alt (* y (+ 1 (pow y 2)))>
#<alt (* y (+ 1 (pow y 2)))>
#<alt (* y (+ 1 (pow y 2)))>
#<alt (pow y 3)>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (pow y 3)>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 2))))>
#<alt 1>
#<alt (+ 1 (pow y 2))>
#<alt (+ 1 (pow y 2))>
#<alt (+ 1 (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ 1 (pow y 2))))>

Calls

69 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* x (* (/ (+ 1 (* y y)) (+ -1 (* y y))) (/ y (/ -1 (+ y 1)))))
2.0ms	x	@	0	(* x (- y (* y y)))
2.0ms	y	@	inf	(* x (* (/ (+ 1 (* y y)) (+ -1 (* y y))) (/ y (/ -1 (+ y 1)))))
2.0ms	x	@	inf	(- (* x y) (* (* x y) y))
1.0ms	x	@	0	(* (/ x (+ y 1)) (/ (* y (+ 1 (* y y))) 1))

rewrite371.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4260×	`/-lowering-/.f32`
4260×	`/-lowering-/.f64`
3374×	`-lowering-.f32`
3374×	`-lowering-.f64`
1452×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	113
1	163	105
2	1477	92
0	8709	92

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1057

Calls

Call 1

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

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

simplify290.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

3366×	`+-lowering-+.f64`
3366×	`+-lowering-+.f32`
3160×	`-lowering-.f32`
3160×	`-lowering-.f64`
1930×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2101
1	799	1710
2	2511	1678
0	8408	1678

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 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 (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
y
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* y (- x (* -1 x))) x))))
(* y (+ x (* y (- (* y (- (+ x (* y (- (* -1 x) x))) (* -1 x))) x))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x y))))
(* (pow y 2) (- (+ x (/ x (pow y 2))) (+ (* -1 (/ x (pow y 2))) (/ x y))))
(* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 2)))) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 3))))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x y))))
(* (pow y 2) (+ x (* -1 (/ (- (+ x (* -1 (/ x y))) (/ x y)) y))))
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- (* -1 x) x)) (* -1 (/ x y))) (/ x y)) y))) y))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 y))
(* y (+ 1 (* y (+ 1 (* 2 y)))))
(* y (+ 1 (* y (+ 1 (* y (+ 2 (* 2 y)))))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* (pow y 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 y))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ 2 (* 2 (/ 1 y))) (pow y 2))) (+ 1 (/ 1 y))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* (pow y 2) (- (* -1 (/ (+ 1 (* 2 (/ 1 y))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 y)) (/ 2 (pow y 2)))) y)) 1))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* -1 (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (- (pow y 2) 1)))
(* x y)
(* y (+ x (* x y)))
(* y (+ x (* y (+ x (* -1 (* y (- (* -1 x) x)))))))
(* y (+ x (* y (+ x (* y (+ (* -1 (* y (- (* -1 x) x))) (* -1 (- (* -1 x) x))))))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (* -1 (/ (- x (* -1 x)) (pow y 2))))))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (+ (* -1 (/ (- x (* -1 x)) (pow y 2))) (* -1 (/ (- x (* -1 x)) (pow y 3)))))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (* -1 x) x) y))) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- x (* -1 x)) y))) x) y))) y))))
-1
(- (* -2 (pow y 2)) 1)
(- (* (pow y 2) (- (* -2 (pow y 2)) 2)) 1)
(- (* (pow y 2) (- (* (pow y 2) (- (* -2 (pow y 2)) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 (pow y 2))) (/ 2 (pow y 4))))
(+ 1 (+ (* 2 (/ 1 (pow y 2))) (+ (* 2 (/ 1 (pow y 6))) (/ 2 (pow y 4)))))
1
(+ 1 (* 2 (/ 1 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 (pow y 2))) (/ 2 (pow y 4))))
(+ 1 (+ (* 2 (/ 1 (pow y 2))) (+ (* 2 (/ 1 (pow y 6))) (/ 2 (pow y 4)))))
y
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))

Outputs
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- y (pow y 2)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
y
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* -1 y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y 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)
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(+ 1 (* 2 (/ 1 (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y)))
(+ 1 (+ (* 2 (/ 1 (pow y 2))) (/ 2 (pow y 4))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))))
(+ 1 (+ (* 2 (/ 1 (pow y 2))) (+ (* 2 (/ 1 (pow y 6))) (/ 2 (pow y 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64)))))
y
(* y (+ 1 (pow y 2)))
(.f64 y (+.f64 (.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (pow y 2)))
(.f64 y (+.f64 (.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (pow y 2)))
(.f64 y (+.f64 (.f64 y y) #s(literal 1 binary64)))
(pow y 3)
(.f64 y (.f64 y y))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(.f64 y (+.f64 (.f64 y y) #s(literal 1 binary64)))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(.f64 y (+.f64 (.f64 y y) #s(literal 1 binary64)))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(.f64 y (+.f64 (.f64 y y) #s(literal 1 binary64)))
(pow y 3)
(.f64 y (.f64 y y))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(.f64 y (+.f64 (.f64 y y) #s(literal 1 binary64)))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(.f64 y (+.f64 (.f64 y y) #s(literal 1 binary64)))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(.f64 y (+.f64 (.f64 y y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(+ 1 (pow y 2))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(+ 1 (pow y 2))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(+.f64 (*.f64 y y) #s(literal 1 binary64))

eval220.0ms (2.9%)

Compiler: Compiled 38228 to 3246 computations (91.5% saved)

prune151.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1561	2	1563
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	1564	6	1570

Accuracy

100.0%

Counts

1570 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.4%	(-.f64 (.f64 x y) (.f64 (*.f64 x y) y))
▶	99.9%	(.f64 (-.f64 x (.f64 x y)) y)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	95.5%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
▶	53.9%	(.f64 x (.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))))
✓	60.9%	(*.f64 x y)

Compiler

Compiled 56 to 34 computations (39.3% saved)

simplify159.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

2256×	`sum5-define`
1528×	`fnmadd-define`
1452×	`fma-define`
1274×	`sum3-define`
926×	`fmsub-define`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	32	52
2	72	47
3	249	44
4	506	41
5	1060	41
6	3297	41
7	4689	41
8	5951	41
9	6229	40
10	6232	40
11	6234	40
12	6258	40
13	6274	40
0	6274	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize73.0ms (1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (*.f64 x y))
✓	accuracy	99.9%	(.f64 (-.f64 x (.f64 x y)) y)
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	99.8%	(/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
✓	accuracy	95.5%	(.f64 x (.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))))

Results

54.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 7.0ms (35.1% of total)

ival-mult: 7.0ms (35.1% of total)

ival-div: 4.0ms (20.1% of total)

ival-sub: 1.0ms (5% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

7 → 132

Calls

Call 1

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

Outputs
#<alt (* -1 y)>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* -1 y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 y)>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* -1 y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* -1 (* x y))))>
#<alt (* y (+ (* -1 x) (* -1 (* x y))))>
#<alt (* y (+ (* -1 x) (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- (* y (+ 1 (* -1 y))) 1)>
#<alt (- (* y (+ 1 (* y (- y 1)))) 1)>
#<alt (/ -1 y)>
#<alt (/ (- (/ 1 y) 1) y)>
#<alt (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (- 1 (/ 1 y)) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) y))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ x y) x))>
#<alt (* y (- (/ x y) x))>
#<alt (* y (- (/ x y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<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

33 calls:

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

rewrite287.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2694×	`-lowering-.f32`
2694×	`-lowering-.f64`
2110×	`/-lowering-/.f32`
2110×	`/-lowering-/.f64`
1536×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	71	40
2	479	34
3	4687	34
0	8288	34

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 506

Calls

Call 1

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

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

simplify211.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2272×	`fnmsub-define`
1900×	`sum5-define`
1510×	`sum3-define`
1376×	`fnmadd-define`
1260×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	752
1	242	676
2	642	635
3	1828	616
4	6110	616
0	8382	616

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (* x y))))
(* y (+ (* -1 x) (* -1 (* x y))))
(* y (+ (* -1 x) (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
(/ -1 y)
(/ (- (/ 1 y) 1) y)
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)
(/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y)
(/ -1 y)
(* -1 (/ (- 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x 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)

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

eval73.0ms (1%)

Compiler: Compiled 12341 to 1438 computations (88.3% saved)

prune88.0ms (1.2%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	634	4	638
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	635	9	644

Accuracy

100.0%

Counts

644 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
▶	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
✓	94.4%	(-.f64 (.f64 x y) (.f64 (*.f64 x y) y))
▶	20.6%	(-.f64 #s(literal 0 binary64) (*.f64 y x))
✓	99.9%	(.f64 (-.f64 x (.f64 x y)) y)
▶	60.6%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) y)))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	95.5%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	60.9%	(*.f64 x y)

Compiler

Compiled 93 to 56 computations (39.8% saved)

simplify159.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

3088×	`-lowering-.f32`
3088×	`-lowering-.f64`
2340×	`+-lowering-+.f64`
2340×	`+-lowering-+.f32`
1988×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	133
1	51	129
2	170	123
3	877	97
4	4445	97
0	8358	97

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (+ 1 y) (* x (* x (- 1 y)))) (/ y (* (+ 1 y) x)))
(* (+ 1 y) (* x (* x (- 1 y))))
(+ 1 y)
1
y
(* x (* x (- 1 y)))
x
(* x (- 1 y))
(- 1 y)
(/ y (* (+ 1 y) x))
(* (+ 1 y) x)
(- 0 (* y x))
0
(* y x)
y
x
(/ y (/ 1 (* x (- 1 y))))
y
(/ 1 (* x (- 1 y)))
1
(* x (- 1 y))
x
(- 1 y)
(/ (* y x) (/ -1 (+ 1 y)))
(* y x)
y
x
(/ -1 (+ 1 y))
-1
(+ 1 y)
1

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

localize115.0ms (1.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))
✓	accuracy	99.9%	(/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 y x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.9%	(.f64 x (.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	97.7%	(.f64 (+.f64 #s(literal 1 binary64) y) (.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) y))))
✓	accuracy	89.0%	(/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x))
✓	accuracy	74.8%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) y)))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)))

Results

81.0ms

256×

valid

Compiler

Compiled 128 to 20 computations (84.4% saved)

Precisions

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

ival-div: 9.0ms (36.4% of total)

ival-mult: 9.0ms (36.4% of total)

ival-sub: 3.0ms (12.1% of total)

ival-add: 3.0ms (12.1% of total)

const: 1.0ms (4% of total)

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

series12.0ms (0.2%)

Counts

13 → 276

Calls

Call 1

Inputs
#<alt (* (* (+ 1 y) (* x (* x (- 1 y)))) (/ y (* (+ 1 y) x)))>
#<alt (* (+ 1 y) (* x (* x (- 1 y))))>
#<alt (+ 1 y)>
#<alt (* x (* x (- 1 y)))>
#<alt (- 0 (* y x))>
#<alt (* y x)>
#<alt (/ y (/ 1 (* x (- 1 y))))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (* x (- 1 y))>
#<alt (- 1 y)>
#<alt (/ (* y x) (/ -1 (+ 1 y)))>
#<alt (/ -1 (+ 1 y))>
#<alt (/ y (* (+ 1 y) x))>

Outputs
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt (* (pow x 2) (* (+ 1 y) (- 1 y)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (* (pow x 2) (- 1 y))>
#<alt (pow x 2)>
#<alt (+ (* -1 (* (pow x 2) y)) (pow x 2))>
#<alt (+ (* -1 (* (pow x 2) y)) (pow x 2))>
#<alt (+ (* -1 (* (pow x 2) y)) (pow x 2))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (pow x 2))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* 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)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 (* x (- 1 y)))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ y x))>
#<alt (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x))>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y))>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) y)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y))>
#<alt (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* -1 (* x y))))>
#<alt (* y (+ (* -1 x) (* -1 (* x y))))>
#<alt (* y (+ (* -1 x) (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- (* y (+ 1 (* -1 y))) 1)>
#<alt (- (* y (+ 1 (* y (- y 1)))) 1)>
#<alt (/ -1 y)>
#<alt (/ (- (/ 1 y) 1) y)>
#<alt (/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (- 1 (/ 1 y)) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) y))>
#<alt (/ y x)>
#<alt (* y (+ (* -1 (/ y x)) (/ 1 x)))>
#<alt (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x)))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))>
#<alt (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))))>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ 1 (* x y)))>
#<alt (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>
#<alt (/ y (* x (+ 1 y)))>

Calls

69 calls:

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

rewrite330.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5222×	`-lowering-.f32`
5222×	`-lowering-.f64`
4698×	`/-lowering-/.f32`
4698×	`/-lowering-/.f64`
1010×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	90
1	112	85
2	882	80
0	8824	80

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1195

Calls

Call 1

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

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

simplify223.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2414×	`-lowering-.f32`
2414×	`-lowering-.f64`
1582×	`fmsub-define`
1472×	`fma-lowering-fma.f32`
1472×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1862
1	488	1547
2	1357	1503
3	3898	1497
0	8368	1497

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
(* (pow x 2) (* (+ 1 y) (- 1 y)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(* (pow x 2) (- 1 y))
(pow x 2)
(+ (* -1 (* (pow x 2) y)) (pow x 2))
(+ (* -1 (* (pow x 2) y)) (pow x 2))
(+ (* -1 (* (pow x 2) y)) (pow x 2))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* y (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* y (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (pow x 2))))
(* -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 (* 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 (* 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)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 x)
(+ (/ 1 x) (/ y x))
(+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))
(+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) y)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (* x y))))
(* y (+ (* -1 x) (* -1 (* x y))))
(* y (+ (* -1 x) (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
(/ -1 y)
(/ (- (/ 1 y) 1) y)
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y)
(/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y)
(/ -1 y)
(* -1 (/ (- 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) y))
(/ y x)
(* y (+ (* -1 (/ y x)) (/ 1 x)))
(* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x)))
(* y (+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))
(/ 1 x)
(- (/ 1 x) (/ 1 (* x y)))
(- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y)))
(- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))))
(/ 1 x)
(- (/ 1 x) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))
(/ y (* x (+ 1 y)))

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

eval257.0ms (3.4%)

Compiler: Compiled 41792 to 4342 computations (89.6% saved)

prune249.0ms (3.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1970	5	1975
Fresh	0	0	0
Picked	4	0	4
Done	1	4	5
Total	1975	9	1984

Accuracy

100.0%

Counts

1984 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.5%	(/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) y))
	99.7%	(/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) x))
	60.8%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
	59.5%	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	99.9%	(.f64 (-.f64 x (.f64 x y)) y)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	95.5%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	60.9%	(*.f64 x y)
	20.6%	(neg.f64 (*.f64 y x))

Compiler

Compiled 237 to 102 computations (57% saved)

regimes18.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
5.0ms	x
5.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
95.5%	1	`x`
95.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
67.2%	2	`y`
60.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
60.9%	1	`x`
60.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.2758263382744484e-10	1.5121602639823997

Results

13.0ms

160×

valid

Compiler

Compiled 144 to 100 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (60.6% of total)

ival-sub: 1.0ms (30.3% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	29	28
2	39	28
3	44	28
4	46	28

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.9s (25.3%)

Rules

5222×	`-lowering-.f32`
5222×	`-lowering-.f64`
4698×	`/-lowering-/.f32`
4698×	`/-lowering-/.f64`
3664×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	752
1	242	676
2	642	635
3	1828	616
4	6110	616
0	8382	616
0	19	90
1	112	85
2	882	80
0	8824	80
0	225	2101
1	799	1710
2	2511	1678
0	8408	1678
0	30	482
1	85	434
2	202	425
3	491	425
4	1272	425
5	4956	425
0	8266	425
0	6	7
1	14	7
2	37	7
3	84	6
4	210	6
5	344	6
6	556	6
7	917	6
8	2932	6
9	3357	6
10	3557	6
11	3557	6
12	3581	6
0	3581	6
0	8	25
1	29	25
2	170	25
3	1463	22
0	10011	22

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 103 to 60 computations (41.7% saved)

preprocess37.0ms (0.5%)

Remove: (negabs x)
Compiler: Compiled 134 to 72 computations (46.3% saved)

analyze0.0ms (0%)

sample753.0ms (10.1%)

preprocess139.0ms (1.9%)

explain70.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify63.0ms (0.8%)

localize69.0ms (0.9%)

series7.0ms (0.1%)

rewrite348.0ms (4.7%)

simplify144.0ms (1.9%)

eval162.0ms (2.2%)

prune147.0ms (2%)

simplify163.0ms (2.2%)

localize134.0ms (1.8%)

series23.0ms (0.3%)

rewrite371.0ms (5%)

simplify290.0ms (3.9%)

eval220.0ms (2.9%)

prune151.0ms (2%)

simplify159.0ms (2.1%)

localize73.0ms (1%)

series6.0ms (0.1%)

rewrite287.0ms (3.8%)

simplify211.0ms (2.8%)

eval73.0ms (1%)

prune88.0ms (1.2%)

simplify159.0ms (2.1%)

localize115.0ms (1.5%)

series12.0ms (0.2%)

rewrite330.0ms (4.4%)

simplify223.0ms (3%)

eval257.0ms (3.4%)

prune249.0ms (3.3%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch19.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.9s (25.3%)

preprocess37.0ms (0.5%)

end0.0ms (0%)

Profiling