Metrics for Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, C

analyze55.0ms (0.7%)

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%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 11.0ms (47.7% of total)

ival-add: 6.0ms (26% of total)

ival-sub: 3.0ms (13% of total)

ival-div: 2.0ms (8.7% of total)

const: 1.0ms (4.3% of total)

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

sample1.1s (14.7%)

Results

835.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 515.0ms

ival-mult: 231.0ms (44.9% of total)

ival-sub: 90.0ms (17.5% of total)

ival-add: 88.0ms (17.1% of total)

ival-div: 87.0ms (16.9% of total)

const: 15.0ms (2.9% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess285.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

2590×	`/-lowering-/.f32`
2590×	`/-lowering-/.f64`
2196×	`sum4-define`
2070×	`sum3-define`
1944×	`sum5-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	50	143
1	134	115
2	460	110
3	1469	110
4	5278	110
0	12	13
1	24	11
2	61	11
3	123	11
4	274	10
5	777	8
6	3623	8
0	8491	8

Stop Event

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

Calls

Call 1

Inputs
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))

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

Call 2

Inputs
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 1/4)) z)) y))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 1/4)) z)) (neg y)))
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) (neg z))) y))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 1/4)) z)) y)))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 1/4)) z)) (neg y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 1/4)) (neg z))) y)))
(+ 1 (/ (* 4 (- (+ y (* x 1/4)) z)) x))
(+ 1 (/ (* 4 (- (+ z (* y 1/4)) x)) y))
(+ 1 (/ (* 4 (- (+ x (* z 1/4)) y)) z))

Outputs
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
(fma (+ x (fmsub y 1/4 z)) (/ 4 y) 1)
(+ 1 (/ (* 4 (- (+ (neg x) (* y 1/4)) z)) y))
(+ 1 (/ (+ y (* -4 (+ x z))) y))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 1/4)) z)) (neg y)))
(+ 1 (/ (fma 4 z (fma x -4 y)) y))
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) (neg z))) y))
(fmsub (+ x (fma y 1/4 z)) (/ 4 y) -1)
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 1/4)) z)) y)))
(- -1 (/ (+ y (* -4 (+ x z))) y))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 1/4)) z)) (neg y))))
(- -1 (/ (fma 4 z (fma x -4 y)) y))
(neg (+ 1 (/ (* 4 (- (+ x (* y 1/4)) (neg z))) y)))
(fnmsub (+ x (fma y 1/4 z)) (/ 4 y) 1)
(+ 1 (/ (* 4 (- (+ y (* x 1/4)) z)) x))
(fma 4 (/ (+ y (fmsub x 1/4 z)) x) 1)
(+ 1 (/ (* 4 (- (+ z (* y 1/4)) x)) y))
(+ 1 (/ (fma 4 z (fma x -4 y)) y))
(+ 1 (/ (* 4 (- (+ x (* z 1/4)) y)) z))
(fma 4 (/ (+ x (fmsub 1/4 z y)) z) 1)

explain112.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
0	-	-	`x`
0	-	-	`(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)`
0	-	-	`y`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
0	-	-	`(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`#s(literal 1/4 binary64)`
0	-	-	`(*.f64 y #s(literal 1/4 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 x (*.f64 y #s(literal 1/4 binary64)))`

Results

59.0ms

512×

valid

Compiler

Compiled 132 to 38 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (37.5% of total)

ival-add: 5.0ms (23.4% of total)

ival-div: 4.0ms (18.8% of total)

ival-sub: 3.0ms (14.1% of total)

const: 1.0ms (4.7% of total)

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

eval0.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify131.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 z x)
✓	cost-diff	(/.f64 (-.f64 z x) y)
✓	cost-diff	(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
✓	cost-diff	(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))

Rules

2052×	`fnmadd-define`
1904×	`sum5-define`
1728×	`fmsub-define`
1668×	`fnmsub-define`
1484×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	19	28
2	35	28
3	69	28
4	144	28
5	276	28
6	575	28
7	1166	28
8	2480	28
9	4555	28
10	7032	28
11	7742	28
0	8126	28

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* -4 (/ (- z x) y)) 2)
(* -4 (/ (- z x) y))
-4
(/ (- z x) y)
(- z x)
z
x
y
2

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

localize72.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
✓	accuracy	100.0%	(/.f64 (-.f64 z x) y)

Results

63.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 18.0ms (73.7% of total)

ival-div: 2.0ms (8.2% of total)

ival-mult: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

4 → 132

Calls

Call 1

Inputs
#<alt (+ (* -4 (/ (- z x) y)) 2)>
#<alt (* -4 (/ (- z x) y))>
#<alt (/ (- z x) y)>
#<alt (- z x)>

Outputs
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ (- z x) y))>
#<alt (/ (+ (* -4 (- z x)) (* 2 y)) y)>
#<alt (/ (+ (* -4 (- z x)) (* 2 y)) y)>
#<alt (/ (+ (* -4 (- z x)) (* 2 y)) y)>
#<alt 2>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt 2>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -1 (/ x y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (/ z y)>
#<alt (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))>
#<alt (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))>
#<alt (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))>
#<alt (/ z y)>
#<alt (* -1 (* z (- (/ x (* y z)) (/ 1 y))))>
#<alt (* -1 (* z (- (/ x (* y z)) (/ 1 y))))>
#<alt (* -1 (* z (- (/ x (* y z)) (/ 1 y))))>
#<alt (/ z y)>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ z (* x y)) (/ 1 y)))>
#<alt (* x (- (/ z (* x y)) (/ 1 y)))>
#<alt (* x (- (/ z (* x y)) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+ (* -4 (/ (- z x) y)) 2)
1.0ms	x	@	0	(+ (* -4 (/ (- z x) y)) 2)
1.0ms	z	@	inf	(+ (* -4 (/ (- z x) y)) 2)
1.0ms	z	@	0	(+ (* -4 (/ (- z x) y)) 2)
1.0ms	x	@	inf	(+ (* -4 (/ (- z x) y)) 2)

rewrite433.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3740×	`-lowering-.f32`
3740×	`-lowering-.f64`
3042×	`/-lowering-/.f32`
3042×	`/-lowering-/.f64`
1794×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	54	23
2	427	23
3	6590	23
0	8008	23

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 358

Calls

Call 1

Inputs
(+ (* -4 (/ (- z x) y)) 2)
(* -4 (/ (- z x) y))
(/ (- z x) y)
(- z x)

Outputs
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)))
(+.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 z x) y) #s(literal 16 binary64)) (/.f64 y (-.f64 z x))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal -2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 z x) y) #s(literal 16 binary64)) (/.f64 y (-.f64 z x))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)))) (/.f64 (/.f64 (.f64 (/.f64 (-.f64 z x) y) #s(literal 16 binary64)) (/.f64 y (-.f64 z x))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (/.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 y #s(literal -4 binary64)) (-.f64 z x))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 z x) y) (/.f64 (.f64 (/.f64 (-.f64 z x) y) #s(literal 16 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) (/.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(fma.f64 (-.f64 x z) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 x z) (/.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 (/.f64 (-.f64 z x) y) #s(literal 16 binary64)) (/.f64 y (-.f64 z x))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(fma.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))) (/.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4 binary64) (-.f64 z x)) #s(literal 2 binary64))
(fma.f64 (-.f64 (.f64 z z) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (.f64 (/.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 2 binary64)))))
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(fma.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (+.f64 z x)) (.f64 (.f64 x x) (.f64 (+.f64 z x) (+.f64 z x)))))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x (+.f64 z x)) (-.f64 (.f64 x (+.f64 z x)) (.f64 z z)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x))))))
(fma.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (.f64 (+.f64 z x) (+.f64 z x))))) (-.f64 (.f64 z z) (.f64 x (+.f64 z x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(neg.f64 (-.f64 x z))
(/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))
(/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 z z) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) z))))
(/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (-.f64 (.f64 z z) (*.f64 z (-.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) z))) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (+.f64 z x))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 z z) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) z)))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z))))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 z x) (+.f64 (.f64 z z) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (+.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 z x) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (+.f64 (.f64 z z) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 z x)) (.f64 (+.f64 z x) (.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (+.f64 (.f64 z z) (*.f64 x x)))) (+.f64 z x)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 z z) (.f64 x x)) (+.f64 z x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (+.f64 z x))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (/.f64 z (+.f64 z x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 z (/.f64 z (+.f64 z x))) (.f64 z (/.f64 z (+.f64 z x)))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x))) (.f64 (.f64 z (/.f64 z (+.f64 z x))) (/.f64 (*.f64 x x) (+.f64 z x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (-.f64 #s(literal 0 binary64) x) z))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))))) (+.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(/.f64 (-.f64 (.f64 (.f64 z (/.f64 z (+.f64 z x))) (.f64 z (/.f64 z (+.f64 z x)))) (.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x)))) (+.f64 (.f64 z (/.f64 z (+.f64 z x))) (/.f64 (.f64 x x) (+.f64 z x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (+.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (+.f64 (.f64 z z) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (+.f64 (.f64 z z) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(*.f64 (-.f64 z x) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) z)))))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (/.f64 (-.f64 z x) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(.f64 (-.f64 (.f64 z z) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) (+.f64 z x)))
(.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(*.f64 #s(literal -1 binary64) (-.f64 x z))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x))))))
(.f64 (.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (-.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 (.f64 z z) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x))
(.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (+.f64 z x)) (.f64 (.f64 x x) (.f64 (+.f64 z x) (+.f64 z x)))))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x (+.f64 z x)) (-.f64 (.f64 x (+.f64 z x)) (.f64 z z)))))
(.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (.f64 (+.f64 z x) (+.f64 z x))))) (-.f64 (.f64 z z) (*.f64 x (+.f64 z x))))
(.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (+.f64 (.f64 z z) (*.f64 x (-.f64 x z))))

simplify291.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2380×	`-lowering-.f32`
2380×	`-lowering-.f64`
1992×	`sum5-define`
1380×	`sum3-define`
1218×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	952
1	302	857
2	968	779
3	3069	770
4	6380	770
0	8060	770

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -4 (/ (- z x) y))
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
2
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
2
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -1 (/ x y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(/ z y)
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(/ z y)
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(/ z y)
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(* -1 (/ x y))
(* x (- (/ z (* x y)) (/ 1 y)))
(* x (- (/ z (* x y)) (/ 1 y)))
(* x (- (/ z (* x y)) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(* -1 x)
(- z x)
(- z x)
(- z x)
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))

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

eval58.0ms (0.8%)

Compiler: Compiled 11681 to 1459 computations (87.5% saved)

prune55.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	483	7	490
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	484	7	491

Accuracy

100.0%

Counts

491 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.0%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
▶	30.9%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
	71.2%	(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))
▶	99.8%	(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) #s(literal 2 binary64))
	61.7%	(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64))
▶	68.5%	(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
▶	31.8%	#s(literal 2 binary64)

Compiler

Compiled 124 to 96 computations (22.6% saved)

simplify129.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 z x)
✓	cost-diff	(/.f64 (-.f64 z x) y)
✓	cost-diff	(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
✓	cost-diff	(*.f64 #s(literal 4 binary64) x)
✓	cost-diff	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	cost-diff	(*.f64 #s(literal -4 binary64) z)
✓	cost-diff	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	cost-diff	(-.f64 z x)
✓	cost-diff	(/.f64 #s(literal -4 binary64) y)
✓	cost-diff	(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
✓	cost-diff	(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) #s(literal 2 binary64))

Rules

2224×	`fnmadd-define`
1684×	`fma-define`
1624×	`fmsub-define`
1618×	`fnmsub-define`
1314×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	31	68
2	57	68
3	120	68
4	246	68
5	427	68
6	772	68
7	1318	68
8	3121	68
9	5459	68
10	7733	68
0	8047	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ -4 y) (- z x)) 2)
(* (/ -4 y) (- z x))
(/ -4 y)
-4
y
(- z x)
z
x
2
2
(/ (* -4 z) y)
(* -4 z)
-4
z
y
(/ (* 4 x) y)
(* 4 x)
4
x
y
(* -4 (/ (- z x) y))
-4
(/ (- z x) y)
(- z x)
z
x
y

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

localize84.0ms (1.1%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
✓	accuracy	100.0%	(/.f64 (-.f64 z x) y)
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) x)
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) z)
✓	accuracy	99.6%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) y)
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) #s(literal 2 binary64))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))

Results

64.0ms

256×

valid

Compiler

Compiled 73 to 17 computations (76.7% saved)

Precisions

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

ival-div: 8.0ms (45.5% of total)

ival-mult: 7.0ms (39.8% of total)

ival-sub: 1.0ms (5.7% of total)

ival-add: 1.0ms (5.7% of total)

const: 1.0ms (5.7% of total)

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

series13.0ms (0.2%)

Counts

10 → 252

Calls

Call 1

Inputs
#<alt (+ (* (/ -4 y) (- z x)) 2)>
#<alt (* (/ -4 y) (- z x))>
#<alt (/ -4 y)>
#<alt (- z x)>
#<alt (/ (* -4 z) y)>
#<alt (* -4 z)>
#<alt (/ (* 4 x) y)>
#<alt (* 4 x)>
#<alt (* -4 (/ (- z x) y))>
#<alt (/ (- z x) y)>

Outputs
#<alt (* -4 (/ (- z x) y))>
#<alt (/ (+ (* -4 (- z x)) (* 2 y)) y)>
#<alt (/ (+ (* -4 (- z x)) (* 2 y)) y)>
#<alt (/ (+ (* -4 (- z x)) (* 2 y)) y)>
#<alt 2>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt 2>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (+ 2 (* -4 (/ (- z x) y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -4 (/ (- z x) y))>
#<alt (* -1 (/ x y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (/ z y)>
#<alt (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))>
#<alt (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))>
#<alt (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))>
#<alt (/ z y)>
#<alt (* -1 (* z (- (/ x (* y z)) (/ 1 y))))>
#<alt (* -1 (* z (- (/ x (* y z)) (/ 1 y))))>
#<alt (* -1 (* z (- (/ x (* y z)) (/ 1 y))))>
#<alt (/ z y)>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (+ (* -1 (/ x y)) (/ z y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ z (* x y)) (/ 1 y)))>
#<alt (* x (- (/ z (* x y)) (/ 1 y)))>
#<alt (* x (- (/ z (* x y)) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>
#<alt (/ (- z x) y)>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(/ (* -4 z) y)
1.0ms	z	@	0	(/ (* -4 z) y)
1.0ms	y	@	0	(/ (* 4 x) y)
1.0ms	y	@	0	(/ (* -4 z) y)
0.0ms	z	@	inf	(/ (* -4 z) y)

rewrite293.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4478×	`-lowering-.f32`
4478×	`-lowering-.f64`
3372×	`/-lowering-/.f32`
3372×	`/-lowering-/.f64`
1078×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	80	49
2	610	49
3	7541	49
0	8345	49

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 616

Calls

Call 1

Inputs
(+ (* (/ -4 y) (- z x)) 2)
(* (/ -4 y) (- z x))
(/ -4 y)
(- z x)
(/ (* -4 z) y)
(* -4 z)
(/ (* 4 x) y)
(* 4 x)
(* -4 (/ (- z x) y))
(/ (- z x) y)

Outputs
(+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))))
(+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x))) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z))) (/.f64 x (/.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x))) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y)))) (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -64 binary64) (.f64 (-.f64 z x) (.f64 (-.f64 z x) (-.f64 z x)))) (.f64 y (.f64 y y))) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 z x) y) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) #s(literal -8 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 #s(literal -64 binary64) (.f64 (-.f64 z x) (.f64 (-.f64 z x) (-.f64 z x)))) (.f64 y (.f64 y y))) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 z x) y) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) #s(literal -8 binary64))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x)))) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -64 binary64) (.f64 (-.f64 z x) (.f64 (-.f64 z x) (-.f64 z x)))) (.f64 y (.f64 y y))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 z x) y) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y))) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 x z) y) (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x)))))))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x)))) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 #s(literal -64 binary64) (.f64 (-.f64 z x) (.f64 (-.f64 z x) (-.f64 z x)))) (.f64 y (.f64 y y))) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 z x) y) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) #s(literal -8 binary64))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x)))) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal -64 binary64) (.f64 (-.f64 z x) (.f64 (-.f64 z x) (-.f64 z x)))) (.f64 y (.f64 y y))) (.f64 #s(literal 4096 binary64) (.f64 (.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x)))) (.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x))))))) #s(literal 512 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 z x) y) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) #s(literal -8 binary64)))) (+.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x)))) (.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x)))))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x)))) #s(literal -512 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x)))) (.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x)))))) #s(literal -64 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 z x) y) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) #s(literal -8 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -64 binary64) (.f64 (-.f64 z x) (.f64 (-.f64 z x) (-.f64 z x)))) (.f64 y (*.f64 y y))) #s(literal -8 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x)))) (.f64 (/.f64 (-.f64 z x) y) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x)))))) #s(literal -64 binary64)) (.f64 (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64)) (+.f64 (.f64 #s(literal 256 binary64) (.f64 (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x))) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x))))) (+.f64 #s(literal 16 binary64) (.f64 (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x))) #s(literal 64 binary64))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 x z) y) (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y))))
(/.f64 (+.f64 (.f64 #s(literal 256 binary64) (.f64 (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x))) (/.f64 (/.f64 (-.f64 z x) y) (/.f64 y (-.f64 z x))))) #s(literal -16 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x))) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64))) (.f64 (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y (-.f64 z x))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 #s(literal -64 binary64) (.f64 (-.f64 z x) (.f64 (-.f64 z x) (-.f64 z x)))) (.f64 y (.f64 y y))) #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 z x) y) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) #s(literal -8 binary64)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x))) (/.f64 y (-.f64 z x)))) #s(literal 4 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (-.f64 x z) y) (/.f64 #s(literal 16 binary64) (/.f64 y (-.f64 z x)))))) (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 z x) y)))))
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(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) z) y) (.f64 (-.f64 #s(literal 0 binary64) y) x)) (*.f64 (-.f64 #s(literal 0 binary64) y) y))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x)) (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 (.f64 y z) (.f64 y x))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (/.f64 (/.f64 z y) (/.f64 y z)) (.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) (/.f64 (-.f64 z x) y))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) y)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (/.f64 (-.f64 x z) #s(literal -1 binary64)) y)
(/.f64 (+.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 z y) (/.f64 y z)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) y))) (.f64 (/.f64 z y) (/.f64 x (-.f64 #s(literal 0 binary64) y))))))
(/.f64 (-.f64 (/.f64 (/.f64 z y) (/.f64 y z)) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))) (-.f64 (/.f64 z y) (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) (.f64 y x))) (.f64 y y))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (/.f64 (/.f64 z y) (/.f64 y z)) (.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) (/.f64 (-.f64 z x) y))) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) y)) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z z) (*.f64 x x)) y)) (+.f64 z x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (+.f64 z x) (-.f64 x z))) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x))))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal -1 binary64) y)) (+.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (.f64 z z) (.f64 x x)))) (+.f64 z x))
(/.f64 (/.f64 (-.f64 (.f64 y z) (.f64 y x)) y) y)
(pow.f64 (/.f64 y (-.f64 z x)) #s(literal -1 binary64))
(*.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64))
(*.f64 (-.f64 x z) (/.f64 #s(literal -1 binary64) y))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))) y))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (/.f64 (-.f64 z x) (.f64 y (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 z x))
(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) y))
(.f64 (-.f64 (.f64 z z) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 z x))))
(.f64 (-.f64 (.f64 z z) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)))
(.f64 (+.f64 z x) (/.f64 (-.f64 z x) (.f64 y (+.f64 z x))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y))
(.f64 (-.f64 (.f64 y z) (.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (-.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 z y) (/.f64 y z)) (.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x z))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x)) (/.f64 (-.f64 z x) y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x))))
(.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(.f64 (/.f64 (-.f64 (.f64 z z) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(.f64 (pow.f64 (/.f64 y (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(.f64 (pow.f64 (/.f64 y (-.f64 (.f64 z z) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(.f64 (/.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) y) (/.f64 (-.f64 z x) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 z x) (+.f64 z x)))
(*.f64 (pow.f64 (/.f64 y (-.f64 z x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (-.f64 z x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) y) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (+.f64 z x)) (.f64 (.f64 x (+.f64 z x)) (.f64 x (+.f64 z x)))))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x (+.f64 z x)) (-.f64 (.f64 x (+.f64 z x)) (.f64 z z)))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) y) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (-.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (-.f64 (.f64 z z) (.f64 x (+.f64 z x))))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (+.f64 (.f64 z z) (*.f64 x (-.f64 x z))))

simplify216.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2352×	`-lowering-.f32`
2352×	`-lowering-.f64`
2082×	`--lowering--.f32`
2082×	`--lowering--.f64`
1412×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	1441
1	305	1325
2	966	1325
3	3120	1325
4	6471	1325
0	8180	1325

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* -4 (/ (- z x) y))
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
2
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
2
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* -4 (/ (- z x) y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(* -1 x)
(- z x)
(- z x)
(- z x)
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -4 (/ (- z x) y))
(* -1 (/ x y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(/ z y)
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(* z (+ (* -1 (/ x (* y z))) (/ 1 y)))
(/ z y)
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(* -1 (* z (- (/ x (* y z)) (/ 1 y))))
(/ z y)
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(+ (* -1 (/ x y)) (/ z y))
(* -1 (/ x y))
(* x (- (/ z (* x y)) (/ 1 y)))
(* x (- (/ z (* x y)) (/ 1 y)))
(* x (- (/ z (* x y)) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z (* x y))) (/ 1 y))))
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)
(/ (- z x) y)

Outputs
(* -4 (/ (- z x) y))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/.f64 (+.f64 (.f64 #s(literal -4 binary64) (-.f64 z x)) (.f64 y #s(literal 2 binary64))) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/.f64 (+.f64 (.f64 #s(literal -4 binary64) (-.f64 z x)) (.f64 y #s(literal 2 binary64))) y)
(/ (+ (* -4 (- z x)) (* 2 y)) y)
(/.f64 (+.f64 (.f64 #s(literal -4 binary64) (-.f64 z x)) (.f64 y #s(literal 2 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ (- z x) y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y))
(+ 2 (* -4 (/ (- z x) y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y))
(+ 2 (* -4 (/ (- z x) y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ (- z x) y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y))
(+ 2 (* -4 (/ (- z x) y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y))
(+ 2 (* -4 (/ (- z x) y)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y))
(+ 2 (* 4 (/ x y)))
(-.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal -4 binary64) y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 z x)) y))
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eval176.0ms (2.4%)

Compiler: Compiled 16836 to 1649 computations (90.2% saved)

prune106.0ms (1.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	960	5	965
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	962	10	972

Accuracy

100.0%

Counts

972 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.0%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	30.9%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
▶	41.2%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
▶	71.2%	(+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) y) #s(literal 2 binary64))
	61.7%	(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64))
▶	68.3%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
▶	41.2%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
▶	31.2%	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
✓	68.5%	(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
✓	31.8%	#s(literal 2 binary64)

Compiler

Compiled 138 to 105 computations (23.9% saved)

simplify163.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 x z)
✓	cost-diff	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	cost-diff	(/.f64 y x)
✓	cost-diff	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	cost-diff	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	cost-diff	(/.f64 #s(literal -4 binary64) y)
✓	cost-diff	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
✓	cost-diff	(*.f64 x #s(literal 4 binary64))
✓	cost-diff	(/.f64 (*.f64 x #s(literal 4 binary64)) y)
✓	cost-diff	(+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) y) #s(literal 2 binary64))

Rules

2142×	`fnmadd-define`
1618×	`fma-define`
1540×	`fnmsub-define`
1534×	`fmsub-define`
1472×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	29	68
2	54	68
3	95	68
4	166	68
5	262	68
6	491	68
7	900	68
8	2039	68
9	3864	68
10	5156	68
11	7090	68
0	8040	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (/ (* x 4) y) 2)
(/ (* x 4) y)
(* x 4)
x
4
y
2
(* (/ -4 y) z)
(/ -4 y)
-4
y
z
(* (/ 4 y) x)
(/ 4 y)
4
y
x
(/ 4 (/ y x))
4
(/ y x)
y
x
(* (/ 4 y) (- x z))
(/ 4 y)
4
y
(- x z)
x
z

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

localize69.0ms (0.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.7%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) y)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
✓	accuracy	100.0%	(*.f64 x #s(literal 4 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) y) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 x #s(literal 4 binary64)) y)

Results

48.0ms

256×

valid

Compiler

Compiled 73 to 18 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 9.0ms (41.2% of total)

ival-mult: 8.0ms (36.7% of total)

ival-add: 3.0ms (13.7% of total)

ival-sub: 1.0ms (4.6% of total)

const: 1.0ms (4.6% of total)

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

series25.0ms (0.3%)

Counts

11 → 240

Calls

Call 1

Inputs
#<alt (+ (/ (* x 4) y) 2)>
#<alt (/ (* x 4) y)>
#<alt (* x 4)>
#<alt (* (/ -4 y) z)>
#<alt (/ -4 y)>
#<alt (* (/ 4 y) x)>
#<alt (/ 4 y)>
#<alt (/ 4 (/ y x))>
#<alt (/ y x)>
#<alt (* (/ 4 y) (- x z))>
#<alt (- x z)>

Outputs
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>

Calls

60 calls:

Time	Variable		Point	Expression
14.0ms	y	@	inf	(+ (/ (* x 4) y) 2)
3.0ms	z	@	0	(* (/ 4 y) (- x z))
1.0ms	y	@	inf	(* (/ 4 y) (- x z))
1.0ms	y	@	0	(* (/ 4 y) (- x z))
0.0ms	x	@	inf	(+ (/ (* x 4) y) 2)

rewrite296.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

5128×	`-lowering-.f32`
5128×	`-lowering-.f64`
3470×	`/-lowering-/.f32`
3470×	`/-lowering-/.f64`
972×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	85	48
2	743	48
0	8578	48

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 530

Calls

Call 1

Inputs
(+ (/ (* x 4) y) 2)
(/ (* x 4) y)
(* x 4)
(* (/ -4 y) z)
(/ -4 y)
(* (/ 4 y) x)
(/ 4 y)
(/ 4 (/ y x))
(/ y x)
(* (/ 4 y) (- x z))
(- x z)

Outputs
(+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 (*.f64 y (/.f64 y x)) x)) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -2 binary64)))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 (*.f64 y (/.f64 y x)) x)) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y x)))) (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 (*.f64 y (/.f64 y x)) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y x)))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (/.f64 y x) (/.f64 (.f64 y (/.f64 y x)) x))) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (/.f64 (.f64 y (/.f64 y x)) x)) (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x #s(literal 8 binary64)) y))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (/.f64 (*.f64 y (/.f64 y x)) x)) #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y x)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (/.f64 y x) (/.f64 (.f64 y (/.f64 y x)) x))) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 16 binary64) (/.f64 (.f64 y (/.f64 y x)) x)) (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x #s(literal 8 binary64)) y)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (/.f64 (*.f64 y (/.f64 y x)) x))) #s(literal 4 binary64)) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (/.f64 y x) (/.f64 (.f64 y (/.f64 y x)) x))) #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 16 binary64) (/.f64 (.f64 y (/.f64 y x)) x)) (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x #s(literal 8 binary64)) y))))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (/.f64 y x) (/.f64 (.f64 y (/.f64 y x)) x))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) y) #s(literal 8 binary64)) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal 16 binary64)) y) #s(literal 8 binary64)) (/.f64 y x))) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (/.f64 y x) (/.f64 (*.f64 y (/.f64 y x)) x))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y x))) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x (/.f64 x y)) y)))))
(/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (/.f64 (*.f64 y (/.f64 y x)) x)) #s(literal -4 binary64)) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (/.f64 y x) (/.f64 (.f64 y (/.f64 y x)) x))) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (/.f64 (.f64 y (/.f64 y x)) x)) (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x #s(literal 8 binary64)) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (/.f64 y x) (/.f64 (.f64 y (/.f64 y x)) x))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) y) #s(literal 8 binary64)) (/.f64 y x)))))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (/.f64 (*.f64 y (/.f64 y x)) x))) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y x)) #s(literal 2 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (neg.f64 (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z)) (-.f64 x z)) (-.f64 #s(literal 0 binary64) (+.f64 x z)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (+.f64 x z) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 z z) (+.f64 (.f64 z z) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 z (.f64 z (.f64 z z)))) (.f64 (+.f64 x z) (+.f64 (.f64 x x) (*.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (.f64 z (.f64 z z)))) (.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x z)) (.f64 (+.f64 x z) (.f64 z z))) (*.f64 (+.f64 x z) (+.f64 x z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z)) (-.f64 x z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) z) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 x x) (+.f64 x z))) (+.f64 (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z))) (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))))))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 x x) (+.f64 x z))) (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z)))) (+.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z)) (-.f64 x z))) (-.f64 #s(literal 0 binary64) (+.f64 x z)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z)))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z)) (-.f64 x z)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x z)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 z z) (+.f64 (.f64 z z) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (+.f64 (.f64 x x) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64))
(*.f64 (-.f64 x z) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x x) (.f64 z (+.f64 x z))) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z))))))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(.f64 (-.f64 (.f64 x x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(.f64 (-.f64 (.f64 x x) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal 1 binary64)))
(.f64 (+.f64 x z) (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 z (+.f64 x z))))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 z (+.f64 x z)))) (-.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (-.f64 (.f64 x x) (*.f64 z z)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (.f64 x x) (*.f64 z z))) (-.f64 x z))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 z (+.f64 x z)) (.f64 z (.f64 (+.f64 x z) (.f64 z (+.f64 x z))))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 z (+.f64 x z)) (-.f64 (.f64 z (+.f64 x z)) (.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 z (.f64 (+.f64 x z) (.f64 z (+.f64 x z)))))) (-.f64 (.f64 x x) (*.f64 z (+.f64 x z))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 z z)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (+.f64 (.f64 x x) (*.f64 z (-.f64 z x))))

simplify181.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2266×	`fnmadd-define`
2182×	`-lowering-.f32`
2182×	`-lowering-.f64`
1232×	`fmsub-define`
1184×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	1110
1	193	1095
2	561	1095
3	1849	1095
4	5221	1095
0	8032	1095

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* 4 (/ x y))
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x 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)
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))

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

eval153.0ms (2%)

Compiler: Compiled 10341 to 1110 computations (89.3% saved)

prune106.0ms (1.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	799	0	799
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	799	10	809

Accuracy

100.0%

Counts

809 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.0%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	30.9%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	41.2%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	71.2%	(+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) y) #s(literal 2 binary64))
▶	61.7%	(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64))
✓	68.3%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	41.2%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	31.2%	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
✓	68.5%	(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
✓	31.8%	#s(literal 2 binary64)

Compiler

Compiled 84 to 64 computations (23.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 z y)
✓	cost-diff	(*.f64 #s(literal -4 binary64) (/.f64 z y))
✓	cost-diff	(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64))

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`fma-lowering-fma.f32`
8×	`fma-define`
8×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	12	18
2	15	18
3	17	18
4	19	18
5	20	18
0	20	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* -4 (/ z y)) 2)
(* -4 (/ z y))
-4
(/ z y)
z
y
2

Outputs
(+ (* -4 (/ z y)) 2)
(+.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
-4
#s(literal -4 binary64)
(/ z y)
(/.f64 z y)
z
y
2
#s(literal 2 binary64)

localize41.0ms (0.5%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) (/.f64 z y))

Results

32.0ms

256×

valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 17.0ms (79.8% of total)

ival-mult: 2.0ms (9.4% of total)

ival-add: 1.0ms (4.7% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (+ (* -4 (/ z y)) 2)>
#<alt (* -4 (/ z y))>
#<alt (/ z y)>

Outputs
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -4 (/ z y))>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(/ z y)
0.0ms	z	@	inf	(+ (* -4 (/ z y)) 2)
0.0ms	y	@	-inf	(/ z y)
0.0ms	z	@	inf	(/ z y)
0.0ms	z	@	0	(+ (* -4 (/ z y)) 2)

rewrite546.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3002×	`-lowering-.f32`
3002×	`-lowering-.f64`
2706×	`/-lowering-/.f32`
2706×	`/-lowering-/.f64`
2220×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	35	14
2	229	14
3	2688	14
0	8648	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 204

Calls

Call 1

Inputs
(+ (* -4 (/ z y)) 2)
(* -4 (/ z y))
(/ z y)

Outputs
(+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z)))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y z)) (/.f64 y z)) (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 y z)) #s(literal 2 binary64)))))
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(.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y z)) (/.f64 y z))) (+.f64 (/.f64 #s(literal -64 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z)))) #s(literal -8 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y z)) (/.f64 y z)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) (/.f64 y z)))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal -8 binary64)) (/.f64 y z))) (+.f64 (.f64 #s(literal -262144 binary64) (.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (/.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))))) #s(literal 512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) #s(literal 512 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal -8 binary64)) (/.f64 y z))) (+.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z)))) #s(literal -8 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 256 binary64) (.f64 (/.f64 z (.f64 (/.f64 y z) y)) (/.f64 z (.f64 (/.f64 y z) y)))) (+.f64 #s(literal 16 binary64) (.f64 #s(literal 64 binary64) (/.f64 z (*.f64 (/.f64 y z) y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64)) (+.f64 (.f64 #s(literal 256 binary64) (.f64 (/.f64 z (.f64 (/.f64 y z) y)) (/.f64 z (*.f64 (/.f64 y z) y)))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (/.f64 y z)) (/.f64 y z)) #s(literal 4 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 4 binary64) (/.f64 y z)))
(/.f64 #s(literal -4 binary64) (/.f64 y z))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -4 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)))))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64))))
(/.f64 (*.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)) y)
(/.f64 (.f64 (.f64 #s(literal -4 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) y)
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (*.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) y)
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))) y)
(/.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (/.f64 y z))
(/.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -4 binary64) z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -4 binary64) z) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (/.f64 (*.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 (/.f64 z y) (exp.f64 (log.f64 #s(literal -4 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (neg.f64 (/.f64 z y)))
(*.f64 #s(literal 4 binary64) (pow.f64 (neg.f64 (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -4 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) z)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 #s(literal 0 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) z))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (/.f64 z y))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (/.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 z y)))
(neg.f64 (neg.f64 (/.f64 z y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z y))))
(/.f64 z y)
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 z #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (/.f64 z #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) y)
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) y)
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y z) (/.f64 y z)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))

simplify131.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1464×	`fnmadd-define`
1314×	`fma-define`
750×	`fmsub-define`
736×	`fma-lowering-fma.f32`
736×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	336
1	61	318
2	130	318
3	319	318
4	957	318
5	1355	318
6	2160	318
7	2859	318
8	3434	318
9	3783	318
10	3926	318
11	4156	318
12	4530	318
13	4573	318
14	4589	318
0	4589	318

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

Inputs
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(* -4 (/ z y))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -4 (/ z y))
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)

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

eval73.0ms (1%)

Compiler: Compiled 5648 to 612 computations (89.2% saved)

prune33.0ms (0.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	276	10	286

Accuracy

100.0%

Counts

286 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.0%	(/.f64 (*.f64 #s(literal 4 binary64) x) y)
✓	30.9%	(/.f64 (*.f64 #s(literal -4 binary64) z) y)
✓	41.2%	(/.f64 #s(literal 4 binary64) (/.f64 y x))
✓	71.2%	(+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) y) #s(literal 2 binary64))
✓	61.7%	(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64))
✓	68.3%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	41.2%	(*.f64 (/.f64 #s(literal 4 binary64) y) x)
✓	31.2%	(*.f64 (/.f64 #s(literal -4 binary64) y) z)
✓	68.5%	(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
✓	31.8%	#s(literal 2 binary64)

Compiler

Compiled 179 to 103 computations (42.5% saved)

regimes28.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))
(+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) y) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

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

Calls

5 calls:

7.0ms	y
5.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
5.0ms	z
5.0ms	x
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes14.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))
(+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) y) #s(literal 2 binary64))

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

Calls

3 calls:

5.0ms	x
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
91.8%	3	`x`
87.9%	3	`y`
89.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))

Outputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
#s(literal 2 binary64)

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
79.9%	3	`y`
68.5%	1	`z`
74.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts

6 → 4

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)

Outputs
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
59.1%	4	`z`
66.1%	4	`x`
57.4%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts

5 → 4

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)

Outputs
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.0%	4	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Counts

4 → 4

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) (/.f64 y x))

Outputs
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.0%	4	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)

Outputs
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) y) z)

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
48.3%	3	`y`
51.1%	3	`z`
37.9%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

3 calls:

1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
31.8%	1	`x`
31.8%	1	`y`
31.8%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch57.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.000939823311832e+36	2.974467817551296e+42
39.0ms	-2.334035251956541e+36	-4.110092724624156e+34

Results

45.0ms

256×

valid

Compiler

Compiled 374 to 289 computations (22.7% saved)

Precisions

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

ival-add: 30.0ms (81% of total)

ival-mult: 4.0ms (10.8% of total)

ival-div: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	7.314923658103605e+110	1.3362394288796994e+113
8.0ms	-2.1745748183449037e+138	-5.463853173327616e+137

Results

31.0ms

192×

valid

Compiler

Compiled 214 to 173 computations (19.2% saved)

Precisions

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

ival-mult: 3.0ms (40.3% of total)

ival-add: 2.0ms (26.9% of total)

ival-sub: 1.0ms (13.4% of total)

ival-div: 1.0ms (13.4% of total)

const: 0.0ms (0% of total)

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

bsearch68.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.000939823311832e+36	2.974467817551296e+42
18.0ms	-4.3932897131426455e-119	-8.710816005586763e-125
20.0ms	-971020.3923154259	-177.60312021358158

Results

39.0ms

416×

valid

Compiler

Compiled 418 to 345 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 6.0ms (31.8% of total)

ival-mult: 6.0ms (31.8% of total)

ival-add: 4.0ms (21.2% of total)

ival-sub: 2.0ms (10.6% of total)

const: 1.0ms (5.3% of total)

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

bsearch51.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.000939823311832e+36	2.974467817551296e+42
16.0ms	-4.3932897131426455e-119	-8.710816005586763e-125
14.0ms	-971020.3923154259	-177.60312021358158

Results

33.0ms

416×

valid

Compiler

Compiled 418 to 345 computations (17.5% saved)

Precisions

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

ival-add: 6.0ms (33.5% of total)

ival-mult: 6.0ms (33.5% of total)

ival-div: 3.0ms (16.8% of total)

ival-sub: 2.0ms (11.2% of total)

const: 1.0ms (5.6% of total)

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

bsearch73.0ms (1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.000939823311832e+36	2.974467817551296e+42
18.0ms	-4.3932897131426455e-119	-8.710816005586763e-125
15.0ms	-971020.3923154259	-177.60312021358158

Results

34.0ms

416×

valid

Compiler

Compiled 418 to 345 computations (17.5% saved)

Precisions

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

ival-add: 6.0ms (33% of total)

ival-mult: 6.0ms (33% of total)

ival-div: 3.0ms (16.5% of total)

ival-sub: 2.0ms (11% of total)

const: 1.0ms (5.5% of total)

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

bsearch51.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	982031673929328900.0	2.6413072008529966e+22
5.0ms	-1.1468006464117143e+82	-8.706600000392105e+81

Results

13.0ms

176×

valid

Compiler

Compiled 176 to 149 computations (15.3% saved)

Precisions

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

ival-mult: 3.0ms (42.4% of total)

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

ival-sub: 1.0ms (14.1% of total)

ival-div: 1.0ms (14.1% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`if-if-or-not_binary32`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	149
1	85	149
2	90	149
3	92	149
4	93	149

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))
(if (<=.f64 x #s(literal -284999999999999996594616629679095808 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) (if (<=.f64 x #s(literal 30499999999999999898960440029926385516544 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))))
(if (<=.f64 y #s(literal -579999999999999969468908584470212204418819186030746796266790564908981817652637391835086420340730962467499929796260649066275222691090792448 binary64)) #s(literal 2 binary64) (if (<=.f64 y #s(literal 4500000000000000005937761504973491137356255101058213012082831941239168916830152430025842481198497013854065655808 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -11500 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal -1680814549933591/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 799999999999999981990478587648272236544 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))))
(if (<=.f64 x #s(literal -6200 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal -3572557697657767/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 999999999999999939709166371603178586112 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(if (<=.f64 x #s(literal -19000 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal -2679418273243325/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (.f64 (/.f64 #s(literal -4 binary64) y) z) (if (<=.f64 x #s(literal 42000000000000002001256811162192905764864 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(if (<=.f64 z #s(literal -9000000000000000344659835746563911656599806078236977855240938022598689878978854912 binary64)) (.f64 (/.f64 #s(literal -4 binary64) y) z) (if (<=.f64 z #s(literal 6200000000000000000000 binary64)) #s(literal 2 binary64) (.f64 (/.f64 #s(literal -4 binary64) y) z)))
#s(literal 2 binary64)

Outputs
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64))
(if (<=.f64 x #s(literal -284999999999999996594616629679095808 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) (if (<=.f64 x #s(literal 30499999999999999898960440029926385516544 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 z y)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))))
(if (<=.f64 x #s(literal -284999999999999996594616629679095808 binary64)) (.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) (if (<=.f64 x #s(literal 30499999999999999898960440029926385516544 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z y))) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))))
(if (<=.f64 y #s(literal -579999999999999969468908584470212204418819186030746796266790564908981817652637391835086420340730962467499929796260649066275222691090792448 binary64)) #s(literal 2 binary64) (if (<=.f64 y #s(literal 4500000000000000005937761504973491137356255101058213012082831941239168916830152430025842481198497013854065655808 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y)) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -11500 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal -1680814549933591/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 799999999999999981990478587648272236544 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))))
(if (<=.f64 x #s(literal -11500 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal -1680814549933591/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 799999999999999981990478587648272236544 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) y))))
(if (<=.f64 x #s(literal -6200 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal -3572557697657767/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 999999999999999939709166371603178586112 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(if (<=.f64 x #s(literal -6200 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal -3572557697657767/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (/.f64 (.f64 #s(literal -4 binary64) z) y) (if (<=.f64 x #s(literal 999999999999999939709166371603178586112 binary64)) #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 x #s(literal -19000 binary64)) (.f64 (/.f64 #s(literal 4 binary64) y) x) (if (<=.f64 x #s(literal -2679418273243325/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (.f64 (/.f64 #s(literal -4 binary64) y) z) (if (<=.f64 x #s(literal 42000000000000002001256811162192905764864 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(if (<=.f64 x #s(literal -19000 binary64)) (.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 x #s(literal -2679418273243325/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) (.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 x #s(literal 42000000000000002001256811162192905764864 binary64)) #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 z #s(literal -9000000000000000344659835746563911656599806078236977855240938022598689878978854912 binary64)) (.f64 (/.f64 #s(literal -4 binary64) y) z) (if (<=.f64 z #s(literal 6200000000000000000000 binary64)) #s(literal 2 binary64) (.f64 (/.f64 #s(literal -4 binary64) y) z)))
(if (<=.f64 z #s(literal -9000000000000000344659835746563911656599806078236977855240938022598689878978854912 binary64)) (.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 z #s(literal 6200000000000000000000 binary64)) #s(literal 2 binary64) (.f64 z (/.f64 #s(literal -4 binary64) y))))
#s(literal 2 binary64)

soundness1.5s (20.6%)

Rules

4478×	`-lowering-.f32`
4478×	`-lowering-.f64`
3372×	`/-lowering-/.f32`
3372×	`/-lowering-/.f64`
2590×	`/-lowering-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	80	49
2	610	49
3	7541	49
0	8345	49
0	94	952
1	302	857
2	968	779
3	3069	770
4	6380	770
0	8060	770
0	12	13
1	24	11
2	61	11
3	123	11
4	274	10
5	777	8
6	3623	8
0	8491	8

Stop Event

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

Compiler

Compiled 354 to 230 computations (35% saved)

preprocess54.0ms (0.7%)

Compiler: Compiled 356 to 156 computations (56.2% saved)

analyze55.0ms (0.7%)

sample1.1s (14.7%)

preprocess285.0ms (3.8%)

explain112.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify131.0ms (1.8%)

localize72.0ms (1%)

series8.0ms (0.1%)

rewrite433.0ms (5.8%)

simplify291.0ms (3.9%)

eval58.0ms (0.8%)

prune55.0ms (0.7%)

simplify129.0ms (1.7%)

localize84.0ms (1.1%)

series13.0ms (0.2%)

rewrite293.0ms (3.9%)

simplify216.0ms (2.9%)

eval176.0ms (2.4%)

prune106.0ms (1.4%)

simplify163.0ms (2.2%)

localize69.0ms (0.9%)

series25.0ms (0.3%)

rewrite296.0ms (4%)

simplify181.0ms (2.4%)

eval153.0ms (2%)

prune106.0ms (1.4%)

simplify5.0ms (0.1%)

localize41.0ms (0.5%)

series2.0ms (0%)

rewrite546.0ms (7.3%)

simplify131.0ms (1.8%)

eval73.0ms (1%)

prune33.0ms (0.4%)

regimes28.0ms (0.4%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch57.0ms (0.8%)

bsearch40.0ms (0.5%)

bsearch68.0ms (0.9%)

bsearch51.0ms (0.7%)

bsearch73.0ms (1%)

bsearch51.0ms (0.7%)

simplify13.0ms (0.2%)

soundness1.5s (20.6%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling