Metrics for Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3

analyze36.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	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 11 to 7 computations (36.4% saved)

Precisions

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

ival-mult: 6.0ms (47.2% of total)

ival-sub: 3.0ms (23.6% of total)

ival-div: 2.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

sample1.1s (15.8%)

Results

826.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

ival-sub: 205.0ms (51.5% of total)

ival-mult: 115.0ms (28.9% of total)

ival-div: 68.0ms (17.1% of total)

const: 8.0ms (2% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess200.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

2546×	`sum3-define`
2046×	`sum3-define`
1728×	`fnmadd-define`
1360×	`fnmsub-define`
1314×	`fmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	81
1	83	77
2	279	72
3	1288	70
4	4004	70
5	7857	70
0	6	7
1	11	7
2	28	7
3	51	7
4	110	7
5	237	6
6	672	6
7	1633	6
8	6206	6
0	8291	6

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(negabs x)

explain56.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
44	-	1	(4.71835627792293e-76 -1.6256416026125399e-273 -2.2233371231636194e-239)	`(/.f64 (*.f64 x (-.f64 y z)) y)`
0	-	0	-	`(*.f64 x (-.f64 y z))`
0	-	0	-	`x`
0	-	0	-	`z`
0	-	0	-	`(-.f64 y z)`
0	-	0	-	`y`

Results

33.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

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

ival-div: 4.0ms (34.1% of total)

ival-mult: 4.0ms (34.1% of total)

ival-sub: 3.0ms (25.6% of total)

const: 1.0ms (8.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.0%	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	95.1%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify158.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

1604×	`fmsub-define`
1578×	`fnmsub-define`
1484×	`sum3-define`
1372×	`-lowering-.f32`
1372×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	20	37
2	47	37
3	95	35
4	240	35
5	543	35
6	1461	35
7	2697	35
8	5920	35
0	8047	35

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize41.0ms (0.6%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	84.0%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 z y))
✓	accuracy	95.1%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))

Results

30.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-sub: 5.0ms (39% of total)

ival-div: 4.0ms (31.2% of total)

ival-mult: 4.0ms (31.2% of total)

const: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Counts

6 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite267.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2964×	`-lowering-.f32`
2964×	`-lowering-.f64`
2676×	`/-lowering-/.f32`
2676×	`/-lowering-/.f64`
1470×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	56	30
2	443	30
3	7504	30
0	8080	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 430

Calls

Call 1

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

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

simplify169.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1944×	`fnmadd-define`
1904×	`sum4-define`
1784×	`fma-lowering-fma.f32`
1784×	`fma-lowering-fma.f64`
1616×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	873
1	205	873
2	622	813
3	1852	813
4	4297	813
0	8186	813

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval101.0ms (1.4%)

Compiler: Compiled 11179 to 1094 computations (90.2% saved)

prune54.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	604	6	610
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	604	8	612

Accuracy

100.0%

Counts

612 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.0%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) x))
✓	84.0%	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	38.3%	(/.f64 (*.f64 x y) y)
▶	83.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (-.f64 y z))))
▶	84.2%	(*.f64 (/.f64 x y) (-.f64 y z))
▶	83.9%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 y z)))
✓	95.1%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
▶	50.2%	x

Compiler

Compiled 140 to 91 computations (35% saved)

simplify218.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(*.f64 x (-.f64 y z))
✓	cost-diff	0	(/.f64 y (*.f64 x (-.f64 y z)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (-.f64 y z))))
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(*.f64 x (-.f64 y z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 y z)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	256	(/.f64 (*.f64 x y) y)
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 (/.f64 x y) (-.f64 y z))

Rules

2696×	`-lowering-.f32`
2696×	`-lowering-.f64`
1932×	`fma-lowering-fma.f32`
1932×	`fma-lowering-fma.f64`
1882×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	33	70
2	76	70
3	249	67
4	675	67
5	3056	67
6	6738	67
0	8202	67

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize69.0ms (1%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (-.f64 y z))))
✓	accuracy	83.7%	(/.f64 y (*.f64 x (-.f64 y z)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	83.9%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 y z)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	76.2%	(/.f64 (*.f64 x y) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	84.2%	(*.f64 (/.f64 x y) (-.f64 y z))

Results

47.0ms

256×

valid

Compiler

Compiled 83 to 15 computations (81.9% saved)

Precisions

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

ival-div: 9.0ms (46.6% of total)

ival-mult: 7.0ms (36.3% of total)

ival-sub: 3.0ms (15.5% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

10 → 288

Calls

Call 1

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

Outputs
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (* y (- (* -1 (/ y (* x (pow z 2)))) (/ 1 (* x z))))>
#<alt (* y (- (* y (- (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z))))>
#<alt (* y (- (* y (- (* y (- (* -1 (/ y (* x (pow z 4)))) (/ 1 (* x (pow z 3))))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z))))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ z (* x y)))>
#<alt (- (+ (/ 1 x) (/ (pow z 2) (* x (pow y 2)))) (* -1 (/ z (* x y))))>
#<alt (- (+ (/ 1 x) (/ (pow z 3) (* x (pow y 3)))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* x (pow y 2))))))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ z (* x y)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x y))) (/ z x)) y)) (/ 1 x))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x y)) (* -1 (/ (pow z 2) x))) y)) (/ z x)) y)) (/ 1 x))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ y (* x (- y z)))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ z (* x y)))>
#<alt (+ (* z (+ (/ 1 (* x y)) (/ z (* x (pow y 2))))) (/ 1 x))>
#<alt (+ (* z (+ (* z (+ (/ 1 (* x (pow y 2))) (/ z (* x (pow y 3))))) (/ 1 (* x y)))) (/ 1 x))>
#<alt (* -1 (/ y (* x z)))>
#<alt (/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z)>
#<alt (/ (- (+ (* -1 (/ y x)) (* -1 (/ (pow y 3) (* x (pow z 2))))) (/ (pow y 2) (* x z))) z)>
#<alt (/ (- (+ (* -1 (/ y x)) (* -1 (/ (pow y 4) (* x (pow z 3))))) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z)>
#<alt (* -1 (/ y (* x z)))>
#<alt (* -1 (/ (+ (/ y x) (/ (pow y 2) (* x z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (/ (pow y 2) x)) z)) (/ y x)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x z)) (* -1 (/ (pow y 3) x))) z)) (/ (pow y 2) x)) z)) (/ y x)) z))>

Calls

72 calls:

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

rewrite308.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2668×	`-lowering-.f32`
2668×	`-lowering-.f64`
2238×	`/-lowering-/.f32`
2238×	`/-lowering-/.f64`
2146×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	74	47
2	472	45
3	5251	42
0	8232	42

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1235

Calls

Call 1

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

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

simplify276.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4052×	`-lowering-.f32`
4052×	`-lowering-.f64`
2668×	`/-lowering-/.f32`
2668×	`/-lowering-/.f64`
2388×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	1725
1	573	1675
2	1715	1567
3	6508	1547
0	8307	1547

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 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 z))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (/ y (* x z)))
(* y (- (* -1 (/ y (* x (pow z 2)))) (/ 1 (* x z))))
(* y (- (* y (- (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z))))
(* y (- (* y (- (* y (- (* -1 (/ y (* x (pow z 4)))) (/ 1 (* x (pow z 3))))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z))))
(/ 1 x)
(+ (/ 1 x) (/ z (* x y)))
(- (+ (/ 1 x) (/ (pow z 2) (* x (pow y 2)))) (* -1 (/ z (* x y))))
(- (+ (/ 1 x) (/ (pow z 3) (* x (pow y 3)))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* x (pow y 2))))))
(/ 1 x)
(+ (/ 1 x) (/ z (* x y)))
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x y))) (/ z x)) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x y)) (* -1 (/ (pow z 2) x))) y)) (/ z x)) y)) (/ 1 x))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ y (* x (- y z)))
(/ 1 x)
(+ (/ 1 x) (/ z (* x y)))
(+ (* z (+ (/ 1 (* x y)) (/ z (* x (pow y 2))))) (/ 1 x))
(+ (* z (+ (* z (+ (/ 1 (* x (pow y 2))) (/ z (* x (pow y 3))))) (/ 1 (* x y)))) (/ 1 x))
(* -1 (/ y (* x z)))
(/ (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (* x z)))) z)
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (pow y 3) (* x (pow z 2))))) (/ (pow y 2) (* x z))) z)
(/ (- (+ (* -1 (/ y x)) (* -1 (/ (pow y 4) (* x (pow z 3))))) (+ (/ (pow y 2) (* x z)) (/ (pow y 3) (* x (pow z 2))))) z)
(* -1 (/ y (* x z)))
(* -1 (/ (+ (/ y x) (/ (pow y 2) (* x z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (/ (pow y 2) x)) z)) (/ y x)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x z)) (* -1 (/ (pow y 3) x))) z)) (/ (pow y 2) x)) z)) (/ y x)) z))

Outputs
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (* x (- y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/ (+ (* -1 (* x z)) (* x y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+ x (* -1 (/ (* x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(* -1 (/ (* x z) y))
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eval270.0ms (3.8%)

Compiler: Compiled 34194 to 2296 computations (93.3% saved)

prune214.0ms (3%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1905	5	1910
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	1907	11	1918

Accuracy

100.0%

Counts

1918 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.0%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	38.3%	(/.f64 (*.f64 x y) y)
▶	42.1%	(/.f64 y (/.f64 y x))
▶	95.1%	(/.f64 x (/.f64 y (-.f64 y z)))
✓	83.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (-.f64 y z))))
▶	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	93.5%	(-.f64 x (/.f64 z (/.f64 y x)))
▶	43.1%	(*.f64 (/.f64 x y) y)
✓	83.9%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 y z)))
✓	95.1%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	50.2%	x

Compiler

Compiled 144 to 93 computations (35.4% saved)

simplify183.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2848×	`-lowering-.f32`
2848×	`-lowering-.f64`
1382×	`/-lowering-/.f32`
1382×	`/-lowering-/.f64`
1034×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	33	53
2	84	51
3	358	51
4	1652	51
5	3683	51
6	6400	51
0	8022	51

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize66.0ms (0.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(-.f64 x (/.f64 z (/.f64 y x)))
✓	accuracy	91.7%	(/.f64 z (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	75.5%	(/.f64 y (/.f64 y x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	75.9%	(*.f64 (/.f64 x y) y)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(/.f64 y (-.f64 y z))
✓	accuracy	95.1%	(/.f64 x (/.f64 y (-.f64 y z)))

Results

47.0ms

256×

valid

Compiler

Compiled 70 to 16 computations (77.1% saved)

Precisions

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

ival-div: 13.0ms (70.7% of total)

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

ival-mult: 2.0ms (10.9% of total)

const: 0.0ms (0% of total)

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

series25.0ms (0.4%)

Counts

11 → 276

Calls

Call 1

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

Outputs
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (/ (* x (- y z)) y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt (/ (+ (* -1 (* x z)) (* x y)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (/ x y)) (/ x z)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y))))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (* -1 (/ y (pow z 2))) (/ 1 z)))>
#<alt (* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (/ z y))>
#<alt (- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y)))>
#<alt (- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (/ z y))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y)))>
#<alt 1>
#<alt (+ 1 (/ z y))>
#<alt (+ 1 (* z (+ (/ 1 y) (/ z (pow y 2)))))>
#<alt (+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ (+ y (/ (pow y 2) z)) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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 (/ y x)>
#<alt (* x (- 1 (/ z y)))>
#<alt (* x (- 1 (/ z y)))>
#<alt (* x (- 1 (/ z y)))>
#<alt (* x (- 1 (/ z y)))>
#<alt (* x (- 1 (/ z y)))>
#<alt (* x (- 1 (/ z y)))>
#<alt (* x (- 1 (/ z y)))>
#<alt (* x (- 1 (/ z y)))>
#<alt (* x (+ 1 (* -1 (/ z y))))>
#<alt (* x (+ 1 (* -1 (/ z y))))>
#<alt (* x (+ 1 (* -1 (/ z y))))>
#<alt (* x (+ 1 (* -1 (/ z y))))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (- (/ x z) (/ x y)))>
#<alt (* z (- (/ x z) (/ x y)))>
#<alt (* z (- (/ x z) (/ x y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (- (* x y) (* x z)) y)>
#<alt (/ (- (* x y) (* x z)) y)>
#<alt (/ (- (* x y) (* x z)) y)>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (+ x (* -1 (/ (* x z) y)))>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>
#<alt (/ (* x z) y)>

Calls

69 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/ y x)
7.0ms	x	@	0	(- x (/ z (/ y x)))
3.0ms	y	@	inf	(/ y (- y z))
0.0ms	y	@	0	(/ y (- y z))
0.0ms	y	@	0	(- x (/ z (/ y x)))

rewrite461.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5060×	`/-lowering-/.f32`
5060×	`/-lowering-/.f64`
4704×	`-lowering-.f32`
4704×	`-lowering-.f64`
2312×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	100	38
2	928	36
0	8855	36

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1693

Calls

Call 1

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

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

simplify214.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3516×	`-lowering-.f32`
3516×	`-lowering-.f64`
1294×	`div-sub`
1180×	`--lowering--.f32`
1180×	`--lowering--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	1239
1	490	1213
2	1345	1118
3	5010	1112
0	8290	1112

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(/ (* x (- y z)) y)
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* z (+ (* -1 (/ x y)) (/ x z)))
(* -1 (/ (* x z) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(* -1 (/ y z))
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
1
(+ 1 (/ z y))
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y)))
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2)))))
1
(+ 1 (/ z y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y)))
1
(+ 1 (/ z y))
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2)))))
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (/ (pow y 2) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (- 1 (/ z y)))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
(* x (+ 1 (* -1 (/ z y))))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* z (- (/ x z) (/ x y)))
(* z (- (/ x z) (/ x y)))
(* z (- (/ x z) (/ x y)))
(* -1 (/ (* x z) y))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (/ x y)))))
(* -1 (/ (* x z) y))
(/ (- (* x y) (* x z)) y)
(/ (- (* x y) (* x z)) y)
(/ (- (* x y) (* x z)) y)
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
x
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(+ x (* -1 (/ (* x z) y)))
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)
(/ (* x z) y)

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

eval615.0ms (8.6%)

Compiler: Compiled 34674 to 2504 computations (92.8% saved)

prune182.0ms (2.5%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	2040	0	2040
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	2040	11	2051

Accuracy

100.0%

Counts

2051 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.0%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	38.3%	(/.f64 (*.f64 x y) y)
✓	42.1%	(/.f64 y (/.f64 y x))
✓	95.1%	(/.f64 x (/.f64 y (-.f64 y z)))
✓	83.9%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (-.f64 y z))))
✓	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	93.5%	(-.f64 x (/.f64 z (/.f64 y x)))
✓	43.1%	(*.f64 (/.f64 x y) y)
✓	83.9%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 y z)))
✓	95.1%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	50.2%	x

Compiler

Compiled 188 to 95 computations (49.5% saved)

regimes32.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	x
4.0ms	z
4.0ms	y
4.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
97.0%	2	`x`
95.1%	1	`y`
96.9%	2	`z`
96.9%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes4.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.0%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
96.7%	2	`z`
95.1%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes38.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
95.1%	1	`x`
95.1%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
50.2%	1	`y`
52.5%	2	`x`
50.2%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
50.2%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2707902815004134e-64	2.1024415617040575e-62

Results

8.0ms

112×

valid

Compiler

Compiled 170 to 109 computations (35.9% saved)

Precisions

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

ival-sub: 1.0ms (39.8% of total)

ival-div: 1.0ms (39.8% of total)

ival-mult: 1.0ms (39.8% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2707902815004134e-64	2.1024415617040575e-62

Results

10.0ms

112×

valid

Compiler

Compiled 170 to 116 computations (31.8% saved)

Precisions

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

ival-sub: 1.0ms (37.3% of total)

ival-div: 1.0ms (37.3% of total)

ival-mult: 1.0ms (37.3% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.799482250685469e+87	6.251603619515578e+95

Results

7.0ms

144×

valid

Compiler

Compiled 214 to 146 computations (31.8% saved)

Precisions

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

ival-sub: 1.0ms (32.1% of total)

ival-div: 1.0ms (32.1% of total)

ival-mult: 1.0ms (32.1% of total)

const: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.3441997805744105e+57	2.1418053577758464e+60

Results

1.0ms

16×

valid

Compiler

Compiled 30 to 21 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
18×	`+-commutative_binary64`
18×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	72
1	40	72
2	56	72
3	69	72
4	78	72
5	82	72
6	83	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 578960446186581/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (-.f64 x (/.f64 z (/.f64 y x))) (/.f64 x (/.f64 y (-.f64 y z))))
(if (<=.f64 x #s(literal 7040159025628825/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (-.f64 x (/.f64 z (/.f64 y x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(if (<=.f64 z #s(literal 22499999999999998602251352563949680465826407133316523523280224614431065481137352833960626880512 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (.f64 (/.f64 x y) (-.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(if (<=.f64 x #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) x (*.f64 (/.f64 x y) y))
x

Outputs
(if (<=.f64 x #s(literal 578960446186581/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (-.f64 x (/.f64 z (/.f64 y x))) (/.f64 x (/.f64 y (-.f64 y z))))
(if (<=.f64 x #s(literal 7040159025628825/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (-.f64 x (/.f64 z (/.f64 y x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(if (<=.f64 z #s(literal 22499999999999998602251352563949680465826407133316523523280224614431065481137352833960626880512 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (.f64 (/.f64 x y) (-.f64 y z)))
(if (<=.f64 z #s(literal 22499999999999998602251352563949680465826407133316523523280224614431065481137352833960626880512 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (.f64 (-.f64 y z) (/.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(if (<=.f64 x #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) x (*.f64 (/.f64 x y) y))
(if (<=.f64 x #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) x (*.f64 y (/.f64 x y)))
x

soundness1.6s (22%)

Rules

2964×	`-lowering-.f32`
2964×	`-lowering-.f64`
2676×	`/-lowering-/.f32`
2676×	`/-lowering-/.f64`
2668×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	63	873
1	205	873
2	622	813
3	1852	813
4	4297	813
0	8186	813
0	14	49
1	74	47
2	472	45
3	5251	42
0	8232	42
0	10	30
1	56	30
2	443	30
3	7504	30
0	8080	30
0	6	7
1	11	7
2	28	7
3	51	7
4	110	7
5	237	6
6	672	6
7	1633	6
8	6206	6
0	8291	6

Stop Event

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

Compiler

Compiled 259 to 149 computations (42.5% saved)

preprocess113.0ms (1.6%)

Compiler: Compiled 318 to 150 computations (52.8% saved)

analyze36.0ms (0.5%)

sample1.1s (15.8%)

preprocess200.0ms (2.8%)

explain56.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify158.0ms (2.2%)

localize41.0ms (0.6%)

series16.0ms (0.2%)

rewrite267.0ms (3.7%)

simplify169.0ms (2.4%)

eval101.0ms (1.4%)

prune54.0ms (0.8%)

simplify218.0ms (3%)

localize69.0ms (1%)

series9.0ms (0.1%)

rewrite308.0ms (4.3%)

simplify276.0ms (3.8%)

eval270.0ms (3.8%)

prune214.0ms (3%)

simplify183.0ms (2.5%)

localize66.0ms (0.9%)

series25.0ms (0.4%)

rewrite461.0ms (6.4%)

simplify214.0ms (3%)

eval615.0ms (8.6%)

prune182.0ms (2.5%)

regimes32.0ms (0.4%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes38.0ms (0.5%)

regimes7.0ms (0.1%)

regimes1.0ms (0%)

bsearch13.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch13.0ms (0.2%)

bsearch2.0ms (0%)

simplify12.0ms (0.2%)

soundness1.6s (22%)

preprocess113.0ms (1.6%)

end0.0ms (0%)

Profiling