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

analyze76.0ms (2.1%)

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: 63.0ms

ival-mult: 60.0ms (95.3% of total)

ival-div: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% of total)

const: 0.0ms (0% of total)

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

sample846.0ms (23.8%)

Results

637.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-mult: 109.0ms (39.6% of total)

ival-div: 93.0ms (33.8% of total)

ival-add: 57.0ms (20.7% of total)

const: 13.0ms (4.7% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess81.0ms (2.3%)

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)

explain89.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
33	-	-	`(/.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

66.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-mult: 5.0ms (38.9% of total)

ival-div: 4.0ms (31.1% of total)

ival-add: 3.0ms (23.3% of total)

const: 1.0ms (7.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	100.0%	(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	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	8	34
1	13	34
2	15	34
3	16	34
0	16	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize46.0ms (1.3%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	87.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))

Results

35.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

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

ival-div: 4.0ms (42.4% of total)

ival-mult: 3.0ms (31.8% of total)

ival-add: 2.0ms (21.2% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite380.0ms (10.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4268×	`/-lowering-/.f32`
4268×	`/-lowering-/.f64`
3426×	`-lowering-.f32`
3426×	`-lowering-.f64`
1812×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	38	25
2	238	25
3	2203	25
0	8961	25

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 551

Calls

Call 1

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

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

simplify215.0ms (6%)

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	575
1	221	535
2	532	524
3	1941	488
4	7885	488
0	8265	488

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval118.0ms (3.3%)

Compiler: Compiled 17680 to 1582 computations (91.1% saved)

prune78.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	831	4	835
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	832	5	837

Accuracy

100.0%

Counts

837 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
▶	46.3%	(-.f64 x (/.f64 x y))
▶	55.4%	(*.f64 x y)
▶	47.6%	x

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

1028×	`fnmadd-define`
812×	`fma-define`
692×	`sum3-define`
540×	`fnmsub-define`
540×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	16	31
2	24	31
3	35	31
4	53	31
5	100	31
6	188	31
7	384	31
8	1047	31
9	2247	31
10	2953	31
11	3043	31
12	3133	31
13	3181	31
14	3197	31
0	3197	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize53.0ms (1.5%)

Localize:

Found 6 expressions of interest:

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

Results

41.0ms

256×

valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

ival-div: 6.0ms (51.1% of total)

ival-mult: 2.0ms (17% of total)

ival-sub: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Counts

6 → 120

Calls

Call 1

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

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ x (+ 1 (/ 1 y)))
3.0ms	x	@	inf	(/ x (+ 1 (/ 1 y)))
1.0ms	x	@	0	(/ x (+ 1 (/ 1 y)))
0.0ms	x	@	inf	(- x (/ x y))
0.0ms	x	@	0	(- x (/ x y))

rewrite214.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

2800×	`-lowering-.f32`
2800×	`-lowering-.f64`
2698×	`/-lowering-/.f32`
2698×	`/-lowering-/.f64`
1656×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	60	23
2	476	23
3	6790	23
0	8071	23

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 242

Calls

Call 1

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

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

simplify329.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

1646×	`fma-lowering-fma.f32`
1646×	`fma-lowering-fma.f64`
1538×	`fnmadd-define`
1520×	`-lowering-.f32`
1520×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	525
1	173	488
2	434	480
3	1667	477
4	7551	477
0	8212	477

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

eval43.0ms (1.2%)

Compiler: Compiled 6362 to 687 computations (89.2% saved)

prune47.0ms (1.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	361	1	362
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	361	6	367

Accuracy

100.0%

Counts

367 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	55.3%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	46.3%	(-.f64 x (/.f64 x y))
✓	55.4%	(*.f64 x y)
✓	47.6%	x

Compiler

Compiled 40 to 26 computations (35% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	10	8
2	13	8
3	20	8
4	20	8
0	20	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (0.7%)

Localize:

Found 2 expressions of interest:

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

Results

19.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 5.0ms (90.7% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

2 → 36

Calls

Call 1

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

Calls

9 calls:

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

rewrite139.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`-lowering-.f32`
994×	`-lowering-.f64`
752×	`/-lowering-/.f32`
752×	`/-lowering-/.f64`
494×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	25	5
2	104	5
3	444	5
0	2992	5

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

2 → 185

Calls

Call 1

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

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	96
1	9	96
0	9	96

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

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)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 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)
(/ 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)

eval47.0ms (1.3%)

Compiler: Compiled 2160 to 410 computations (81% saved)

prune77.0ms (2.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	221	6	227

Accuracy

100.0%

Counts

227 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.9%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	55.3%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	46.3%	(-.f64 x (/.f64 x y))
✓	55.4%	(*.f64 x y)
✓	47.6%	x

Compiler

Compiled 77 to 40 computations (48.1% saved)

regimes9.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(/.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)

regimes27.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
60.3%	3	`x`
99.1%	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
98.9%	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
47.6%	1	`x`
47.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.163253323164153e-6	36684.67990495839
16.0ms	-531704248592.04614	-1.1840617826632218e-5

Results

19.0ms

320×

valid

Compiler

Compiled 294 to 190 computations (35.4% saved)

Precisions

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

ival-div: 3.0ms (38.9% of total)

ival-mult: 3.0ms (38.9% of total)

ival-add: 2.0ms (26% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.163253323164153e-6	36684.67990495839
17.0ms	-531704248592.04614	-1.1840617826632218e-5

Results

19.0ms

320×

valid

Compiler

Compiled 214 to 150 computations (29.9% saved)

Precisions

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

ival-div: 4.0ms (45.2% of total)

ival-mult: 3.0ms (33.9% of total)

ival-add: 2.0ms (22.6% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.3%)

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	32	38
2	39	38
3	45	38
4	50	38
5	52	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)) (-.f64 x (/.f64 x y)) (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)) (-.f64 x (/.f64 x y)) (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

soundness391.0ms (11%)

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	575
1	221	535
2	532	524
3	1941	488
4	7885	488
0	8265	488

Stop Event

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

Compiler

Compiled 121 to 68 computations (43.8% saved)

preprocess51.0ms (1.4%)

Remove: (negabs x)
Compiler: Compiled 220 to 106 computations (51.8% saved)

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

analyze76.0ms (2.1%)

sample846.0ms (23.8%)

preprocess81.0ms (2.3%)

explain89.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.2%)

localize46.0ms (1.3%)

series7.0ms (0.2%)

rewrite380.0ms (10.7%)

simplify215.0ms (6%)

eval118.0ms (3.3%)

prune78.0ms (2.2%)

simplify56.0ms (1.6%)

localize53.0ms (1.5%)

series9.0ms (0.3%)

rewrite214.0ms (6%)

simplify329.0ms (9.3%)

eval43.0ms (1.2%)

prune47.0ms (1.3%)

simplify5.0ms (0.1%)

localize26.0ms (0.7%)

series1.0ms (0%)

rewrite139.0ms (3.9%)

simplify6.0ms (0.2%)

eval47.0ms (1.3%)

prune77.0ms (2.2%)

regimes9.0ms (0.3%)

regimes27.0ms (0.8%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch33.0ms (0.9%)

bsearch35.0ms (1%)

simplify9.0ms (0.3%)

soundness391.0ms (11%)

preprocess51.0ms (1.4%)

end0.0ms (0%)

Profiling