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)

sample683.0ms (8.2%)

Results

481.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 132.0ms (66.9% of total)

ival-sub: 52.0ms (26.3% of total)

const: 10.0ms (5.1% of total)

backward-pass: 2.0ms (1% of total)

Bogosity

preprocess169.0ms (2%)

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)

explain74.0ms (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

56.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (71.8% of total)

ival-sub: 3.0ms (26.9% of total)

const: 1.0ms (9% 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))
▶	93.4%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify76.0ms (0.9%)

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)

localize64.0ms (0.8%)

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	93.4%	(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))

Results

47.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sub: 23.0ms (76.3% of total)

ival-mult: 6.0ms (19.9% 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)))
1.0ms	y	@	inf	(* x (* y (- 1 y)))
0.0ms	x	@	inf	(* x (* y (- 1 y)))

rewrite427.0ms (5.1%)

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)

simplify164.0ms (2%)

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)

eval341.0ms (4.1%)

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

prune130.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1192	6	1198
Fresh	0	0	0
Picked	1	1	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
▶	66.0%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))))
▶	93.3%	(.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 y y)))))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
	37.4%	(.f64 (.f64 x y) (+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64))))) (neg.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64))))) (pow.f64 y #s(literal 3/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))))) (pow.f64 y #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64))))) (pow.f64 y #s(literal 3/2 binary64))))))
▶	93.4%	(.f64 x (-.f64 y (.f64 y y)))
▶	70.7%	(.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))))))
▶	56.0%	(*.f64 x y)

Compiler

Compiled 293 to 134 computations (54.3% saved)

simplify220.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y (.f64 y y))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 y y)))
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
✓	cost-diff	512	(.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	512	(.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	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))))
✓	cost-diff	512	(.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 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

3440×	`-lowering-.f32`
3440×	`-lowering-.f64`
2016×	`sum5-define`
1654×	`/-lowering-/.f32`
1654×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	200
1	74	190
2	200	190
3	864	175
4	3534	167
5	7368	167
0	8211	167

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

localize135.0ms (1.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 y (.f64 y y))
✓	accuracy	82.1%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64))))))
✓	accuracy	79.2%	(/.f64 (.f64 x y) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 y #s(literal 1 binary64)))))
✓	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	99.9%	(/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
✓	accuracy	93.4%	(.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	74.3%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 y y)))
✓	accuracy	100.0%	(.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 y y)))))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y)))
✓	accuracy	93.6%	(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 y (*.f64 y y))
✓	accuracy	93.4%	(.f64 x (-.f64 y (.f64 y y)))

Results

90.0ms

256×

valid

Compiler

Compiled 237 to 28 computations (88.2% saved)

Precisions

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

ival-mult: 16.0ms (40.7% of total)

ival-div: 15.0ms (38.1% of total)

ival-add: 6.0ms (15.2% of total)

ival-sub: 1.0ms (2.5% of total)

const: 1.0ms (2.5% of total)

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

series31.0ms (0.4%)

Counts

19 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* x (* (/ (+ 1 (* y y)) (+ -1 (* y y))) (/ y (/ -1 (+ y 1)))))
3.0ms	y	@	-inf	(* x (- y (* y y)))
2.0ms	x	@	0	(* (/ (+ -1 (* y (* y y))) -1) (/ (* x y) (+ 1 (* y (+ y 1)))))
2.0ms	y	@	0	(* (/ y (+ y 1)) (/ x (/ -1 (+ -1 (* y y)))))
2.0ms	x	@	0	(* x (* (/ (+ 1 (* y y)) (+ -1 (* y y))) (/ y (/ -1 (+ y 1)))))

rewrite331.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

5560×	`/-lowering-/.f32`
5560×	`/-lowering-/.f64`
3500×	`-lowering-.f32`
3500×	`-lowering-.f64`
1642×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	153
1	188	126
2	1891	113
0	8527	113

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1104

Calls

Call 1

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

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

simplify229.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3116×	`+-lowering-+.f64`
3116×	`+-lowering-+.f32`
2896×	`-lowering-.f32`
2896×	`-lowering-.f64`
1812×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	2622
1	1041	2136
2	3810	2056
0	9022	2056

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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

eval199.0ms (2.4%)

Compiler: Compiled 38375 to 3989 computations (89.6% saved)

prune174.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1627	5	1632
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	1631	8	1639

Accuracy

100.0%

Counts

1639 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
▶	87.2%	(.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
▶	90.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 y y))))
▶	99.2%	(.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	93.3%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 y y)))))
✓	93.4%	(.f64 x (-.f64 y (.f64 y y)))
✓	56.0%	(*.f64 x y)

Compiler

Compiled 173 to 106 computations (38.7% saved)

simplify179.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
✓	cost-diff	128	(/.f64 y #s(literal 1 binary64))
✓	cost-diff	256	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))))
✓	cost-diff	384	(.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
✓	cost-diff	0	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 y y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	cost-diff	256	(.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))))
✓	cost-diff	0	(-.f64 y (*.f64 y y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y y)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y y))))
✓	cost-diff	256	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 y y)))))
✓	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 x y)
✓	cost-diff	128	(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))

Rules

2482×	`--lowering--.f32`
2482×	`--lowering--.f64`
1864×	`-lowering-.f32`
1864×	`-lowering-.f64`
1600×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	167
1	84	158
2	246	155
3	773	151
4	2247	151
5	5031	151
0	8072	151

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize134.0ms (1.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
✓	accuracy	82.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
✓	accuracy	90.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 y y))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))))
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(-.f64 y (*.f64 y y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y y))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y y)))
✓	accuracy	93.4%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 y y)))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.8%	(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))

Results

78.0ms

256×

valid

Compiler

Compiled 213 to 28 computations (86.9% saved)

Precisions

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

ival-div: 18.0ms (48% of total)

ival-mult: 13.0ms (34.7% of total)

ival-sub: 4.0ms (10.7% of total)

ival-add: 3.0ms (8% of total)

const: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Counts

21 → 384

Calls

Call 1

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

Calls

96 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/ (* (/ 1 (+ y 1)) x) (/ 1 (- 1 (* y y))))
1.0ms	x	@	0	(* (/ 1 (+ y 1)) (* (* x y) (- 1 (* y y))))
1.0ms	x	@	0	(* (+ y -1) (/ -1 (/ 1 (* x y))))
1.0ms	x	@	inf	(* (+ y -1) (/ -1 (/ 1 (* x y))))
0.0ms	y	@	0	(* (+ y -1) (/ -1 (/ 1 (* x y))))

rewrite412.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4052×	`/-lowering-/.f32`
4052×	`/-lowering-/.f64`
3418×	`-lowering-.f32`
3418×	`-lowering-.f64`
2114×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	114
1	194	96
2	1461	95
0	8163	95

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 2056

Calls

Call 1

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

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

simplify220.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3140×	`-lowering-.f32`
3140×	`-lowering-.f64`
1364×	`+-lowering-+.f64`
1364×	`+-lowering-+.f32`
1188×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	2458
1	526	2135
2	1493	2103
3	5557	2078
0	8222	2078

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

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

eval331.0ms (4%)

Compiler: Compiled 48370 to 3679 computations (92.4% saved)

prune172.0ms (2.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	2633	7	2640
Fresh	0	0	0
Picked	5	0	5
Done	0	3	3
Total	2638	10	2648

Accuracy

100.0%

Counts

2648 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
	72.9%	(/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	63.9%	(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y))
▶	93.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y))))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)))
	53.3%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 y y))))
▶	99.1%	(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	93.4%	(.f64 x (-.f64 y (.f64 y y)))
✓	56.0%	(*.f64 x y)

Compiler

Compiled 193 to 126 computations (34.7% saved)

simplify152.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	cost-diff	256	(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

Rules

874×	`fma-lowering-fma.f32`
874×	`fma-lowering-fma.f64`
848×	`fnmadd-define`
774×	`fmsub-define`
770×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	118
1	55	112
2	154	112
3	463	103
4	1155	103
5	2613	103
6	3435	103
7	4157	103
8	4501	103
9	4786	103
10	4866	103
11	4886	103
12	4888	103
13	4888	103
0	4888	103

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize102.0ms (1.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	99.9%	(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	93.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.2%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x y))

Results

64.0ms

256×

valid

Compiler

Compiled 136 to 21 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 21.0ms (70.2% of total)

ival-mult: 5.0ms (16.7% of total)

ival-sub: 2.0ms (6.7% of total)

ival-add: 1.0ms (3.3% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

15 → 300

Calls

Call 1

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

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

Calls

75 calls:

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

rewrite348.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3682×	`-lowering-.f32`
3682×	`-lowering-.f64`
3204×	`/-lowering-/.f32`
3204×	`/-lowering-/.f64`
982×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	142	77
2	1004	69
0	8399	69

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1974

Calls

Call 1

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

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

simplify471.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1802×	`-lowering-.f32`
1802×	`-lowering-.f64`
1590×	`sum4-define`
1432×	`sum3-define`
1330×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1763
1	262	1524
2	766	1494
3	2243	1484
4	6333	1484
0	8089	1484

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

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

eval363.0ms (4.3%)

Compiler: Compiled 48274 to 3374 computations (93% saved)

prune207.0ms (2.5%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	2639	7	2646
Fresh	2	0	2
Picked	3	2	5
Done	0	3	3
Total	2644	12	2656

Accuracy

100.0%

Counts

2656 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	63.9%	(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y))
	63.9%	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y x)))
	93.5%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) y))
	55.8%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
	57.3%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y)))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)))
	56.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (*.f64 y x))))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	93.4%	(.f64 x (-.f64 y (.f64 y y)))
✓	56.0%	(*.f64 x y)
	64.0%	(neg.f64 (.f64 y (.f64 y x)))

Compiler

Compiled 469 to 167 computations (64.4% saved)

regimes25.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
8.0ms	x
7.0ms	(.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)

regimes10.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
96.4%	2	`x`
99.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
74.3%	2	`x`
97.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x y)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
56.0%	1	`x`
56.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch18.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
6.0ms	9.46945504085231e+59	3.263221985800453e+60
11.0ms	-8.41291987166498e+82	-3.7376606509536425e+71

Results

10.0ms

208×

valid

Compiler

Compiled 261 to 179 computations (31.4% saved)

Precisions

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

ival-mult: 3.0ms (68.6% of total)

ival-sub: 1.0ms (22.9% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.5400964081597145e-7	7.281643359594103
13.0ms	-25677002472.64942	-0.11645606908823906

Results

15.0ms

304×

valid

Compiler

Compiled 299 to 200 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (78.2% of total)

ival-sub: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	50
1	45	50
2	60	50
3	67	50
4	71	50
5	72	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -2499999999999999957584241987403314495077270060171164080459613549891682304 binary64)) (neg.f64 (.f64 y (.f64 y x))) (if (<=.f64 y #s(literal 1150000000000000084519974862231109802836788707614935222321152 binary64)) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))) (neg.f64 (.f64 y (.f64 y x)))))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 (.f64 y (.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (neg.f64 (.f64 y (*.f64 y x)))))
(*.f64 x y)

Outputs
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x y))
(if (<=.f64 y #s(literal -2499999999999999957584241987403314495077270060171164080459613549891682304 binary64)) (neg.f64 (.f64 y (.f64 y x))) (if (<=.f64 y #s(literal 1150000000000000084519974862231109802836788707614935222321152 binary64)) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))) (neg.f64 (.f64 y (.f64 y x)))))
(if (<=.f64 y #s(literal -2499999999999999957584241987403314495077270060171164080459613549891682304 binary64)) (.f64 y (.f64 x (-.f64 #s(literal 0 binary64) y))) (if (<=.f64 y #s(literal 1150000000000000084519974862231109802836788707614935222321152 binary64)) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 y (.f64 x (-.f64 #s(literal 0 binary64) y)))))
(if (<=.f64 y #s(literal -1 binary64)) (neg.f64 (.f64 y (.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (neg.f64 (.f64 y (*.f64 y x)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (.f64 x (-.f64 #s(literal 0 binary64) y))) (if (<=.f64 y #s(literal 1 binary64)) (.f64 x y) (.f64 y (*.f64 x (-.f64 #s(literal 0 binary64) y)))))
(*.f64 x y)

soundness1.7s (19.8%)

Rules

5560×	`/-lowering-/.f32`
5560×	`/-lowering-/.f64`
3682×	`-lowering-.f32`
3682×	`-lowering-.f64`
3664×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	142	77
2	1004	69
0	8399	69
0	27	153
1	188	126
2	1891	113
0	8527	113
0	163	2458
1	526	2135
2	1493	2103
3	5557	2078
0	8222	2078
0	8	25
1	29	25
2	170	25
3	1463	22
0	10011	22
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	30	482
1	85	434
2	202	425
3	491	425
4	1272	425
5	4956	425
0	8266	425

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 159 to 85 computations (46.5% saved)

preprocess38.0ms (0.5%)

Remove: (negabs x)
Compiler: Compiled 274 to 122 computations (55.5% saved)

analyze0.0ms (0%)

sample683.0ms (8.2%)

preprocess169.0ms (2%)

explain74.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify76.0ms (0.9%)

localize64.0ms (0.8%)

series7.0ms (0.1%)

rewrite427.0ms (5.1%)

simplify164.0ms (2%)

eval341.0ms (4.1%)

prune130.0ms (1.6%)

simplify220.0ms (2.6%)

localize135.0ms (1.6%)

series31.0ms (0.4%)

rewrite331.0ms (4%)

simplify229.0ms (2.7%)

eval199.0ms (2.4%)

prune174.0ms (2.1%)

simplify179.0ms (2.1%)

localize134.0ms (1.6%)

series23.0ms (0.3%)

rewrite412.0ms (4.9%)

simplify220.0ms (2.6%)

eval331.0ms (4%)

prune172.0ms (2.1%)

simplify152.0ms (1.8%)

localize102.0ms (1.2%)

series8.0ms (0.1%)

rewrite348.0ms (4.2%)

simplify471.0ms (5.6%)

eval363.0ms (4.3%)

prune207.0ms (2.5%)

regimes25.0ms (0.3%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch18.0ms (0.2%)

bsearch27.0ms (0.3%)

simplify9.0ms (0.1%)

soundness1.7s (19.8%)

preprocess38.0ms (0.5%)

end0.0ms (0%)

Profiling