Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

analyze14.0ms (0.5%)

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: 4.0ms

ival-mult: 2.0ms (45.8% of total)

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

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

const: 0.0ms (0% of total)

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

sample712.0ms (25.3%)

Results

516.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 125.0ms (48.3% of total)

ival-div: 72.0ms (27.8% of total)

ival-add: 49.0ms (18.9% of total)

const: 11.0ms (4.2% of total)

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

Bogosity

preprocess88.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

2756×	`fnmadd-define`
2732×	`fma-define`
2492×	`sum3-define`
600×	`fnmsub-define`
596×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	52	44
2	146	42
3	447	42
4	1346	42
5	2856	42
6	5483	42
7	6541	42
8	6641	42
9	6697	42
10	6713	42
0	6	7
1	12	7
2	15	7
3	16	7
0	16	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (* x y) (+ y 1))
(* x (/ y (+ y 1)))
(/ (* (neg x) y) (+ y 1))
(* x (/ y (- -1 y)))
(/ (* x (neg y)) (+ (neg y) 1))
(* y (/ x (+ y -1)))
(neg (/ (* (neg x) y) (+ y 1)))
(* x (/ y (+ y 1)))
(neg (/ (* x (neg y)) (+ (neg y) 1)))
(* y (/ x (- 1 y)))
(/ (* y x) (+ x 1))
(/ (* x y) (+ x 1))

Symmetry

(negabs x)

explain55.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
35	-	-	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 y #s(literal 1 binary64))`

Results

36.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-mult: 11.0ms (59.8% of total)

ival-div: 3.0ms (16.3% of total)

ival-add: 3.0ms (16.3% of total)

const: 1.0ms (5.4% 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
▶	100.0%	(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	18
2	14	18
3	16	18
4	17	18
0	17	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize67.0ms (2.4%)

Localize:

Found 3 expressions of interest:

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

Results

59.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (34.1% of total)

ival-add: 2.0ms (34.1% of total)

ival-mult: 2.0ms (34.1% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite404.0ms (14.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3890×	`/-lowering-/.f32`
3890×	`/-lowering-/.f64`
3220×	`-lowering-.f32`
3220×	`-lowering-.f64`
1686×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	32	15
2	203	15
3	1872	15
0	8610	15

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 388

Calls

Call 1

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

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

simplify190.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1694×	`-lowering-.f32`
1694×	`-lowering-.f64`
1512×	`fnmadd-define`
1464×	`+-lowering-+.f64`
1464×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	309
1	221	293
2	531	280
3	1941	259
4	7882	259
0	8279	259

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval94.0ms (3.4%)

Compiler: Compiled 10589 to 1432 computations (86.5% saved)

prune53.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	433	3	436
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	433	4	437

Accuracy

100.0%

Counts

437 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(-.f64 x (/.f64 x y))
✓	100.0%	(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
▶	47.9%	(*.f64 x y)
▶	55.9%	x

Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify40.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-128	(-.f64 x (/.f64 x y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 x y)

Rules

848×	`fnmadd-define`
678×	`fma-define`
556×	`sum3-define`
388×	`fnmsub-define`
388×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	8	16
2	17	16
3	28	16
4	46	16
5	93	16
6	182	16
7	370	16
8	999	16
9	2030	16
10	2346	16
11	2403	16
12	2456	16
13	2472	16
0	2472	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (0.9%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)

Results

19.0ms

256×

valid

Compiler

Compiled 19 to 6 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (28.3% of total)

ival-sub: 2.0ms (28.3% of total)

ival-mult: 2.0ms (28.3% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.6%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(* x y)
1.0ms	y	@	0	(* x y)
0.0ms	x	@	-inf	(/ x y)
0.0ms	x	@	0	(/ x y)
0.0ms	x	@	inf	(* x y)

rewrite235.0ms (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3152×	`-lowering-.f32`
3152×	`-lowering-.f64`
1538×	`/-lowering-/.f32`
1538×	`/-lowering-/.f64`
1394×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	29	11
2	251	11
3	4445	11
0	8986	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 117

Calls

Call 1

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

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

simplify129.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1924×	`-lowering-.f32`
1924×	`-lowering-.f64`
1664×	`sum3-define`
1374×	`fmsub-define`
1294×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	276
1	40	276
2	91	255
3	186	255
4	516	255
5	2500	255
6	7060	255
0	8047	255

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval48.0ms (1.7%)

Compiler: Compiled 3952 to 328 computations (91.7% saved)

prune75.0ms (2.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	189	4	193

Accuracy

100.0%

Counts

193 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.7%	(-.f64 x (/.f64 x y))
✓	100.0%	(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓	47.9%	(*.f64 x y)
✓	55.9%	x

Compiler

Compiled 49 to 25 computations (49% saved)

regimes9.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	y
2.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
65.3%	5	`x`
99.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)

Outputs
x
(*.f64 x y)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
55.9%	1	`x`
55.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.7021421630411956e-7	6579601.658324258
18.0ms	-1.5067224448384158e+23	-1.0885092810616518e-24

Results

20.0ms

352×

valid

Compiler

Compiled 274 to 184 computations (32.8% saved)

Precisions

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

ival-div: 3.0ms (36.4% of total)

ival-mult: 3.0ms (36.4% of total)

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

const: 0.0ms (0% of total)

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

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7021421630411956e-7	6579601.658324258
15.0ms	-1.5067224448384158e+23	-1.0885092810616518e-24

Results

19.0ms

352×

valid

Compiler

Compiled 234 to 164 computations (29.9% saved)

Precisions

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

ival-div: 3.0ms (37.8% of total)

ival-mult: 3.0ms (37.8% of total)

ival-add: 2.0ms (25.2% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	29	38
2	36	38
3	42	38
4	47	38
5	49	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

Outputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

soundness405.0ms (14.4%)

Rules

1694×	`-lowering-.f32`
1694×	`-lowering-.f64`
1512×	`fnmadd-define`
1464×	`+-lowering-+.f64`
1464×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	15	7
3	16	7
0	16	7
0	70	309
1	221	293
2	531	280
3	1941	259
4	7882	259
0	8279	259

Stop Event

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

Compiler

Compiled 129 to 76 computations (41.1% saved)

preprocess53.0ms (1.9%)

Remove: (negabs x)
Compiler: Compiled 212 to 106 computations (50% saved)

Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

analyze14.0ms (0.5%)

sample712.0ms (25.3%)

preprocess88.0ms (3.1%)

explain55.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize67.0ms (2.4%)

series6.0ms (0.2%)

rewrite404.0ms (14.4%)

simplify190.0ms (6.8%)

eval94.0ms (3.4%)

prune53.0ms (1.9%)

simplify40.0ms (1.4%)

localize26.0ms (0.9%)

series17.0ms (0.6%)

rewrite235.0ms (8.4%)

simplify129.0ms (4.6%)

eval48.0ms (1.7%)

prune75.0ms (2.7%)

regimes9.0ms (0.3%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch34.0ms (1.2%)

bsearch32.0ms (1.1%)

simplify11.0ms (0.4%)

soundness405.0ms (14.4%)

preprocess53.0ms (1.9%)

end0.0ms (0%)

Profiling