Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% 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)

sample679.0ms (11.1%)

Results

497.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-sub: 107.0ms (54.6% of total)

ival-mult: 75.0ms (38.3% of total)

const: 11.0ms (5.6% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess55.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

516×	`fnmadd-define`
424×	`fma-define`
420×	`sum3-define`
420×	`fnmsub-define`
418×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	41	31
2	107	30
3	360	26
4	975	24
5	1852	24
6	2016	24
0	5	5
1	10	5
2	20	5
3	40	4
4	94	4
5	149	4
6	248	4
7	367	4
8	994	4
9	1117	4
10	1266	4
11	1294	4
0	1294	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* x (- 1 y))

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

Call 2

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

Outputs
(* x (- 1 y))
(fnmadd x y x)
(* (neg x) (- 1 y))
(fmsub x y x)
(* x (- 1 (neg y)))
(fma x y x)
(neg (* (neg x) (- 1 y)))
(fnmadd x y x)
(neg (* x (- 1 (neg y))))
(fnmsub x y x)
(* y (- 1 x))
(fnmadd x y y)

Symmetry

(negabs x)

explain85.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

53.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-mult: 4.0ms (48% of total)

ival-sub: 3.0ms (36% of total)

const: 1.0ms (12% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

420×	`sum3-define`
328×	`sum5-define`
292×	`fma-define`
270×	`fnmadd-define`
204×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	10	11
2	20	11
3	40	10
4	94	10
5	149	10
6	248	10
7	367	10
8	994	10
9	1117	10
10	1266	10
11	1294	10
0	1294	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize47.0ms (0.8%)

Localize:

Found 2 expressions of interest:

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

Results

41.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-sub: 2.0ms (47.2% of total)

ival-mult: 2.0ms (47.2% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite456.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3454×	`/-lowering-/.f32`
3454×	`/-lowering-/.f64`
2726×	`-lowering-.f32`
2726×	`-lowering-.f64`
1528×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	23	8
2	146	8
3	1221	7
0	9343	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 325

Calls

Call 1

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

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

simplify278.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

2188×	`sum4-define`
1544×	`fnmsub-define`
1528×	`fmsub-define`
1344×	`fmm-def`
1318×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	71	146
2	183	125
3	409	125
4	1291	125
5	4564	125
6	7987	125
0	8001	125

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval45.0ms (0.7%)

Compiler: Compiled 11226 to 1089 computations (90.3% saved)

prune48.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	358	3	361
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	358	4	362

Accuracy

100.0%

Counts

362 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.0%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))
▶	83.3%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) x)) (+.f64 #s(literal 1 binary64) y))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	50.9%	x

Compiler

Compiled 45 to 31 computations (31.1% saved)

simplify195.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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))) x)
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
✓	cost-diff	128	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (*.f64 y y))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) x)
✓	cost-diff	64	(neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) x))
✓	cost-diff	448	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) x)) (+.f64 #s(literal 1 binary64) y))

Rules

1960×	`fmsub-define`
1774×	`-lowering-.f32`
1774×	`-lowering-.f64`
1708×	`fmm-def`
1460×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	97
1	49	92
2	129	90
3	408	85
4	1267	80
5	4624	80
0	8274	80

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize123.0ms (2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (+.f64 #s(literal 1 binary64) y))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	95.5%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y))) x)
✓	accuracy	72.0%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) x))
✓	accuracy	95.2%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) x)
✓	accuracy	88.2%	(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) x)) (+.f64 #s(literal 1 binary64) y))

Results

98.0ms

256×

valid

Compiler

Compiled 118 to 19 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 37.0ms (75.9% of total)

ival-add: 5.0ms (10.3% of total)

ival-div: 3.0ms (6.2% of total)

ival-sub: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

series18.0ms (0.3%)

Counts

11 → 192

Calls

Call 1

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

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

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (neg (* (+ -1 (* y y)) x)) (+ 1 y))
2.0ms	x	@	0	(/ (* (+ -1 (* y (* y y))) x) (- 0 (+ 1 (* y (+ 1 y)))))
2.0ms	y	@	0	(/ (* (+ -1 (* y (* y y))) x) (- 0 (+ 1 (* y (+ 1 y)))))
1.0ms	x	@	inf	(/ (neg (* (+ -1 (* y y)) x)) (+ 1 y))
1.0ms	y	@	-inf	(/ (neg (* (+ -1 (* y y)) x)) (+ 1 y))

rewrite356.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3684×	`-lowering-.f32`
3684×	`-lowering-.f64`
3208×	`/-lowering-/.f32`
3208×	`/-lowering-/.f64`
2228×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	118	63
2	1081	53
0	8985	53

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 721

Calls

Call 1

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

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

simplify236.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2522×	`-lowering-.f32`
2522×	`-lowering-.f64`
1734×	`--lowering--.f32`
1734×	`--lowering--.f64`
1562×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1325
1	427	1019
2	1620	961
3	6560	961
0	8290	961

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval367.0ms (6%)

Compiler: Compiled 24218 to 1950 computations (91.9% saved)

prune152.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	937	2	939
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	939	4	943

Accuracy

100.0%

Counts

943 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (+.f64 #s(literal 1 binary64) y))
▶	83.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	50.9%	x

Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify162.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	cost-diff	384	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(.f64 x (-.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	512	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))

Rules

2048×	`--lowering--.f32`
2048×	`--lowering--.f64`
1524×	`-lowering-.f32`
1524×	`-lowering-.f64`
1416×	`times-frac`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	30	60
2	66	60
3	197	56
4	557	56
5	991	56
6	1479	48
7	3089	48
8	5853	48
0	8086	48

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize77.0ms (1.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	95.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	accuracy	88.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (+.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	95.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))
✓	accuracy	88.2%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))

Results

54.0ms

256×

valid

Compiler

Compiled 74 to 13 computations (82.4% saved)

Precisions

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

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

ival-add: 6.0ms (33.8% of total)

ival-div: 4.0ms (22.5% of total)

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

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

9 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite336.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3296×	`-lowering-.f32`
3296×	`-lowering-.f64`
2868×	`/-lowering-/.f32`
2868×	`/-lowering-/.f64`
1996×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	81	38
2	552	38
3	6194	38
0	8217	38

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 948

Calls

Call 1

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

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

simplify208.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1876×	`fnmsub-define`
1646×	`div-sub`
1592×	`sum5-define`
1558×	`-lowering-.f32`
1558×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	953
1	192	816
2	460	748
3	1339	745
4	4850	743
0	8276	743

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval260.0ms (4.3%)

Compiler: Compiled 31926 to 2162 computations (93.2% saved)

prune572.0ms (9.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1210	1	1211
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	1211	4	1215

Accuracy

100.0%

Counts

1215 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (+.f64 #s(literal 1 binary64) y))
▶	34.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	50.9%	x

Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify153.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1580×	`fmsub-define`
1570×	`-lowering-.f32`
1570×	`-lowering-.f64`
1470×	`fmm-def`
1434×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	23	25
2	57	25
3	177	23
4	540	22
5	973	22
6	2306	22
7	6215	22
0	8041	22

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize47.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	95.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))
✓	accuracy	88.0%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))

Results

38.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 5.0ms (42% of total)

ival-mult: 5.0ms (42% of total)

ival-sub: 1.0ms (8.4% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

5 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/ 1 y)
3.0ms	y	@	inf	(* (/ 1 y) (* x (- 1 (* y y))))
0.0ms	x	@	inf	(* (/ 1 y) (* x (- 1 (* y y))))
0.0ms	x	@	0	(* (/ 1 y) (* x (- 1 (* y y))))
0.0ms	x	@	-inf	(* (/ 1 y) (* x (- 1 (* y y))))

rewrite447.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3832×	`-lowering-.f32`
3832×	`-lowering-.f64`
2926×	`/-lowering-/.f32`
2926×	`/-lowering-/.f64`
1486×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	45	22
2	269	22
3	2475	20
0	10212	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 402

Calls

Call 1

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

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

simplify138.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1662×	`-lowering-.f32`
1662×	`-lowering-.f64`
1364×	`fnmsub-define`
1304×	`fmsub-define`
1158×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	495
1	86	386
2	221	365
3	518	344
4	1717	344
5	4567	344
6	7622	344
0	8029	344

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval79.0ms (1.3%)

Compiler: Compiled 11933 to 1279 computations (89.3% saved)

prune56.0ms (0.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	485	1	486
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	485	5	490

Accuracy

100.0%

Counts

490 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (+.f64 #s(literal 1 binary64) y))
	3.0%	(/.f64 x y)
✓	34.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	50.9%	x

Compiler

Compiled 118 to 56 computations (52.5% saved)

regimes53.0ms (0.9%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	x
3.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
3.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
100.0%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total -30.7b remaining (-97.6%)

Threshold costs -30.7b (-97.6%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(/.f64 x y)

Outputs
x

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
50.9%	1	`x`
50.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	11	6
2	15	6
3	17	6
4	18	6

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness296.0ms (4.8%)

Rules

2188×	`sum4-define`
1544×	`fnmsub-define`
1528×	`fmsub-define`
1344×	`fmm-def`
1318×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	71	146
2	183	125
3	409	125
4	1291	125
5	4564	125
6	7987	125
0	8001	125

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 11 to 7 computations (36.4% saved)

preprocess24.0ms (0.4%)

Remove: (negabs x)
Compiler: Compiled 58 to 40 computations (31% saved)

analyze0.0ms (0%)

sample679.0ms (11.1%)

preprocess55.0ms (0.9%)

explain85.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.4%)

localize47.0ms (0.8%)

series3.0ms (0%)

rewrite456.0ms (7.5%)

simplify278.0ms (4.6%)

eval45.0ms (0.7%)

prune48.0ms (0.8%)

simplify195.0ms (3.2%)

localize123.0ms (2%)

series18.0ms (0.3%)

rewrite356.0ms (5.8%)

simplify236.0ms (3.9%)

eval367.0ms (6%)

prune152.0ms (2.5%)

simplify162.0ms (2.6%)

localize77.0ms (1.3%)

series8.0ms (0.1%)

rewrite336.0ms (5.5%)

simplify208.0ms (3.4%)

eval260.0ms (4.3%)

prune572.0ms (9.4%)

simplify153.0ms (2.5%)

localize47.0ms (0.8%)

series10.0ms (0.2%)

rewrite447.0ms (7.3%)

simplify138.0ms (2.3%)

eval79.0ms (1.3%)

prune56.0ms (0.9%)

regimes53.0ms (0.9%)

regimes3.0ms (0.1%)

simplify8.0ms (0.1%)

soundness296.0ms (4.8%)

preprocess24.0ms (0.4%)

end0.0ms (0%)

Profiling