Metrics for Statistics.Sample:$skurtosis from math-functions-0.1.5.2

analyze40.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (57% of total)

ival-div: 1.0ms (19% of total)

ival-sub: 1.0ms (19% of total)

const: 0.0ms (0% of total)

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

sample971.0ms (25.4%)

Results

703.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 310.0ms

ival-sub: 122.0ms (39.4% of total)

ival-div: 94.0ms (30.3% of total)

ival-mult: 80.0ms (25.8% of total)

const: 11.0ms (3.6% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess68.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

1232×	`fnmadd-define`
856×	`fmsub-define`
848×	`sum3-define`
808×	`fnmsub-define`
730×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	50	38
2	121	36
3	327	36
4	894	36
5	2045	36
6	3257	36
7	3941	36
8	4051	36
9	4150	36
10	4210	36
11	4238	36
0	6	6
1	12	6
2	13	6
0	13	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (/ x (* y y)) 3)

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

Call 2

Inputs
(- (/ x (* y y)) 3)
(- (/ (neg x) (* y y)) 3)
(- (/ x (* (neg y) (neg y))) 3)
(neg (- (/ (neg x) (* y y)) 3))
(neg (- (/ x (* (neg y) (neg y))) 3))
(- (/ y (* x x)) 3)

Outputs
(- (/ x (* y y)) 3)
(fmsub x (square (recip y)) 3)
(- (/ (neg x) (* y y)) 3)
(fnmsub x (square (recip y)) 3)
(- (/ x (* (neg y) (neg y))) 3)
(fmsub x (square (recip y)) 3)
(neg (- (/ (neg x) (* y y)) 3))
(fmsub x (square (recip y)) -3)
(neg (- (/ x (* (neg y) (neg y))) 3))
(fnmsub x (square (recip y)) -3)
(- (/ y (* x x)) 3)
(+ (/ y (square x)) -3)

Symmetry

(abs y)

explain75.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
30	-	3	(-3.215042871976309e-236 7.221722698723201e-159)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`x`
0	-	0	-	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`y`

Results

49.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 23.0ms (74.5% of total)

ival-mult: 5.0ms (16.2% of total)

ival-sub: 3.0ms (9.7% of total)

const: 1.0ms (3.2% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	99.9%	(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(/.f64 x (*.f64 y y))
✓	cost-diff	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(/.f64 (/.f64 x y) y)
✓	cost-diff	(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))

Rules

6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`
4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	14	31
0	14	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (/ (/ x y) y) -3)
(/ (/ x y) y)
(/ x y)
x
y
-3
(- (/ x (* y y)) 3)
(/ x (* y y))
x
(* y y)
y
3

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

localize39.0ms (1%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	89.5%	(/.f64 x (*.f64 y y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)

Results

24.0ms

256×

valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

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

ival-div: 6.0ms (55.9% of total)

ival-mult: 2.0ms (18.6% of total)

ival-sub: 1.0ms (9.3% of total)

ival-add: 1.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Counts

6 → 132

Calls

Call 1

Inputs
#<alt (+ (/ (/ x y) y) -3)>
#<alt (/ (/ x y) y)>
#<alt (/ x y)>
#<alt (- (/ x (* y y)) 3)>
#<alt (/ x (* y y))>
#<alt (* y y)>

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

33 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/ x y)
1.0ms	x	@	inf	(+ (/ (/ x y) y) -3)
0.0ms	x	@	0	(/ (/ x y) y)
0.0ms	x	@	0	(+ (/ (/ x y) y) -3)
0.0ms	x	@	inf	(/ x y)

rewrite234.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3202×	`-lowering-.f32`
3202×	`-lowering-.f64`
2228×	`/-lowering-/.f32`
2228×	`/-lowering-/.f64`
788×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	67	25
2	518	25
3	7193	25
0	8030	25

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 244

Calls

Call 1

Inputs
(+ (/ (/ x y) y) -3)
(/ (/ x y) y)
(/ x y)
(- (/ x (* y y)) 3)
(/ x (* y y))
(* y y)

Outputs
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))))
(+.f64 (/.f64 (/.f64 x y) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 (.f64 y (.f64 y y)) x))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))
(-.f64 (/.f64 (/.f64 x y) (.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 (.f64 y (.f64 y y)) x))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))) (/.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) (-.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x #s(literal -3 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64)) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(neg.f64 (/.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y))) (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (.f64 y (*.f64 y y)) x)))))
(/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))))
(/.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))))) #s(literal -19683 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 729 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))))))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 x (.f64 x x))))) #s(literal -19683 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) (+.f64 #s(literal 729 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))))))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) #s(literal -729 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) #s(literal 27 binary64))))
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(/.f64 (.f64 (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 y (/.f64 x y))) (+.f64 #s(literal 81 binary64) (/.f64 (.f64 (/.f64 x y) #s(literal 9 binary64)) (/.f64 (.f64 y (.f64 y y)) x)))))
(/.f64 (.f64 (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 y (/.f64 x y))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (.f64 y (*.f64 y y)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y))))
(.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))))
(.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y)))))
(.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64)) (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64))) (+.f64 #s(literal -3 binary64) (/.f64 x (.f64 y y))))
(.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (+.f64 #s(literal 9 binary64) (.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))))))) (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 y (/.f64 x y))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (-.f64 (+.f64 #s(literal 9 binary64) (.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (/.f64 (/.f64 x y) (/.f64 (.f64 y (*.f64 y y)) x))))))
(.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (-.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) (+.f64 #s(literal 9 binary64) (.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y)))))) (-.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) (+.f64 #s(literal 9 binary64) (.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y)))))
(.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) #s(literal -9 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal 27 binary64))) (+.f64 (/.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y y)) x)) (-.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(pow.f64 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 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) y)

simplify170.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1876×	`fnmadd-define`
1640×	`fma-define`
1398×	`fmsub-define`
1276×	`fma-lowering-fma.f32`
1276×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	636
1	48	534
2	112	534
3	281	534
4	634	534
5	1123	534
6	2003	534
7	3275	534
8	5549	534
9	7349	534
0	8100	534

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

eval131.0ms (3.4%)

Compiler: Compiled 8010 to 470 computations (94.1% saved)

prune41.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	373	3	376
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	373	5	378

Accuracy

100.0%

Counts

378 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.8%	(/.f64 x (*.f64 y y))
▶	99.9%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
✓	95.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	99.9%	(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
▶	52.2%	#s(literal -3 binary64)

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 x (*.f64 y y))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	cost-diff	128	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))

Rules

40×	`-lowering-.f32`
40×	`-lowering-.f64`
30×	`/-lowering-/.f32`
30×	`/-lowering-/.f64`
26×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	23	31
2	35	30
3	47	28
4	54	28
5	86	28
6	109	28
0	109	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
-3
(- (/ (/ 1 y) (/ y x)) 3)
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
3
(/ x (* y y))
x
(* y y)
y

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

localize48.0ms (1.2%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	89.5%	(/.f64 x (*.f64 y y))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))

Results

36.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-div: 7.0ms (63.8% of total)

ival-mult: 2.0ms (18.2% of total)

ival-sub: 1.0ms (9.1% of total)

const: 1.0ms (9.1% of total)

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

series3.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (- (/ (/ 1 y) (/ y x)) 3)>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (/ 1 y)>
#<alt (/ y x)>
#<alt (/ x (* y y))>
#<alt (* y y)>

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

30 calls:

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

rewrite252.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2616×	`-lowering-.f32`
2616×	`-lowering-.f64`
1908×	`fmsub-define`
1888×	`fmm-def`
1852×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	65	21
2	456	21
3	4110	21
0	8198	21

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 292

Calls

Call 1

Inputs
(- (/ (/ 1 y) (/ y x)) 3)
(/ (/ 1 y) (/ y x))
(/ 1 y)
(/ y x)
(/ x (* y y))
(* y y)

Outputs
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (/.f64 y (/.f64 x y))) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(+.f64 (/.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (/.f64 y (/.f64 x y))) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))))
(-.f64 (/.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (/.f64 y (/.f64 x y))) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) (/.f64 y (/.f64 x y)))))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y (/.f64 x y)) y)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) (/.f64 y (/.f64 x y)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 x (.f64 y y)) (/.f64 y x)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64))
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64) #s(literal -3 binary64))
(fma.f64 (/.f64 x (.f64 y y)) (/.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))))
(fma.f64 (/.f64 x (.f64 y y)) (/.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (/.f64 y (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (/.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (.f64 (/.f64 x y) (/.f64 x (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -3/2 binary64)) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (.f64 (/.f64 y (/.f64 x y)) y)) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x)) #s(literal -3 binary64))
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(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.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 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 y x)
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(.f64 (.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(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 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) 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 y (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(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) y) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))

simplify144.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1832×	`sum3-define`
1494×	`fnmadd-define`
1376×	`fmsub-define`
1112×	`fma-define`
1090×	`fmm-def`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	23	588
1	50	471
2	114	471
3	282	471
4	634	471
5	1131	471
6	2067	471
7	3433	435
8	5484	435
9	6873	435
10	7517	435
0	8237	435

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

eval46.0ms (1.2%)

Compiler: Compiled 7420 to 651 computations (91.2% saved)

prune50.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	410	2	412
Fresh	0	0	0
Picked	1	2	3
Done	1	1	2
Total	412	5	417

Accuracy

100.0%

Counts

417 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(/.f64 (/.f64 x y) y)
▶	50.3%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	45.8%	(/.f64 x (*.f64 y y))
✓	95.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	52.2%	#s(literal -3 binary64)

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

40×	`-lowering-.f32`
40×	`-lowering-.f64`
30×	`/-lowering-/.f32`
30×	`/-lowering-/.f64`
22×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	17	23
2	27	23
3	37	21
4	43	21
5	71	21
6	78	21
0	78	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
(/ (/ x y) y)
(/ x y)
x
y

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

localize31.0ms (0.8%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))

Results

21.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-div: 9.0ms (100% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

5 → 108

Calls

Call 1

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

Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ 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 (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>

Calls

27 calls:

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

rewrite231.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`-lowering-.f32`
1648×	`-lowering-.f64`
1382×	`+-lowering-+.f64`
1382×	`+-lowering-+.f32`
1360×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	44	16
2	264	16
3	1218	16
4	4891	16
0	8309	16

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 622

Calls

Call 1

Inputs
(/ (/ 1 y) (/ y x))
(/ 1 y)
(/ y x)
(/ (/ x y) y)
(/ x y)

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`
2×	`1-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	408
1	13	360
2	15	360
0	15	360

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

Calls

Call 1

Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)

Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval106.0ms (2.8%)

Compiler: Compiled 9000 to 1165 computations (87.1% saved)

prune105.0ms (2.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	730	0	730
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	730	5	735

Accuracy

100.0%

Counts

735 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.3%	(/.f64 (/.f64 x y) y)
✓	50.3%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	45.8%	(/.f64 x (*.f64 y y))
✓	95.4%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	52.2%	#s(literal -3 binary64)

Compiler

Compiled 78 to 38 computations (51.3% saved)

regimes14.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))

Calls

5 calls:

4.0ms	y
3.0ms	x
2.0ms	(*.f64 y y)
2.0ms	(/.f64 x (*.f64 y y))
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes7.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)

Outputs
(/.f64 (/.f64 x y) y)
#s(literal -3 binary64)
(/.f64 (/.f64 x y) y)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.4%	3	`x`
86.2%	2	`y`
99.5%	3	`(/.f64 x (*.f64 y y))`
86.2%	2	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))

Outputs
(/.f64 x (*.f64 y y))
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))

Calls

1 calls:

1.0ms

(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
95.0%	3	`(/.f64 x (*.f64 y y))`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -3 binary64)

Outputs
#s(literal -3 binary64)

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.599891228227933e-10	1474137108513297700.0
0.0ms	-186213782.39494696	-1.7456026742262562e-15

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch25.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.599891228227933e-10	1474137108513297700.0
10.0ms	-186213782.39494696	-1.7456026742262562e-15

Results

11.0ms

352×

valid

Compiler

Compiled 190 to 164 computations (13.7% saved)

Precisions

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

ival-sub: 2.0ms (78% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`if-if-or-not_binary32`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	54
1	26	54

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -100000000 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (/.f64 x (.f64 y y)) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal -3 binary64) (/.f64 x (.f64 y y))))
#s(literal -3 binary64)

Outputs
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -100000000 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 x (.f64 y y)) #s(literal -3 binary64)) (/.f64 x (.f64 y y)) (if (<=.f64 (/.f64 x (.f64 y y)) #s(literal 3 binary64)) #s(literal -3 binary64) (/.f64 x (.f64 y y))))
#s(literal -3 binary64)

soundness836.0ms (21.9%)

Rules

2616×	`-lowering-.f32`
2616×	`-lowering-.f64`
1908×	`fmsub-define`
1888×	`fmm-def`
1876×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	65	21
2	456	21
3	4110	21
0	8198	21
0	22	636
1	48	534
2	112	534
3	281	534
4	634	534
5	1123	534
6	2003	534
7	3275	534
8	5549	534
9	7349	534
0	8100	534
0	6	6
1	12	6
2	13	6
0	13	6

Stop Event

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

Compiler

Compiled 148 to 76 computations (48.6% saved)

preprocess99.0ms (2.6%)

Remove: (abs y)
Compiler: Compiled 200 to 86 computations (57% saved)

Statistics.Sample:$skurtosis from math-functions-0.1.5.2

analyze40.0ms (1.1%)

sample971.0ms (25.4%)

preprocess68.0ms (1.8%)

explain75.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.3%)

localize39.0ms (1%)

series7.0ms (0.2%)

rewrite234.0ms (6.1%)

simplify170.0ms (4.5%)

eval131.0ms (3.4%)

prune41.0ms (1.1%)

simplify8.0ms (0.2%)

localize48.0ms (1.2%)

series3.0ms (0.1%)

rewrite252.0ms (6.6%)

simplify144.0ms (3.8%)

eval46.0ms (1.2%)

prune50.0ms (1.3%)

simplify6.0ms (0.1%)

localize31.0ms (0.8%)

series1.0ms (0%)

rewrite231.0ms (6%)

simplify13.0ms (0.3%)

eval106.0ms (2.8%)

prune105.0ms (2.7%)

regimes14.0ms (0.4%)

regimes7.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch25.0ms (0.6%)

simplify7.0ms (0.2%)

soundness836.0ms (21.9%)

preprocess99.0ms (2.6%)

end0.0ms (0%)

Profiling