Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

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

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

ival-sub: 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)

sample698.0ms (11.9%)

Results

493.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-div: 110.0ms (43.8% of total)

ival-mult: 82.0ms (32.7% of total)

ival-sub: 43.0ms (17.1% of total)

const: 13.0ms (5.2% of total)

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

Bogosity

preprocess115.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1890×	`fnmadd-define`
1322×	`fma-define`
1158×	`fmsub-define`
1152×	`fnmsub-define`
1104×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	96
1	76	83
2	171	80
3	404	80
4	1119	80
5	2503	80
6	4710	80
7	5306	80
8	5330	80
9	5330	80
0	9	9
1	14	8
2	29	8
3	43	8
4	75	8
5	136	8
6	275	8
7	622	8
8	1068	8
9	1577	8
10	1892	8
11	1951	8
12	1959	8
0	1959	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (/ (* x y) 2) (/ z 8))

Outputs
(- (/ (* x y) 2) (/ z 8))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Call 2

Inputs
(- (/ (* x y) 2) (/ z 8))
(- (/ (* (neg x) y) 2) (/ z 8))
(- (/ (* x (neg y)) 2) (/ z 8))
(- (/ (* x y) 2) (/ (neg z) 8))
(neg (- (/ (* (neg x) y) 2) (/ z 8)))
(neg (- (/ (* x (neg y)) 2) (/ z 8)))
(neg (- (/ (* x y) 2) (/ (neg z) 8)))
(- (/ (* y x) 2) (/ z 8))
(- (/ (* z y) 2) (/ x 8))
(- (/ (* x z) 2) (/ y 8))

Outputs
(- (/ (* x y) 2) (/ z 8))
(fnmsub x (* y -1/2) (* z 1/8))
(- (/ (* (neg x) y) 2) (/ z 8))
(fnmsub x (* y 1/2) (* z 1/8))
(- (/ (* x (neg y)) 2) (/ z 8))
(fnmsub x (* y 1/2) (* z 1/8))
(- (/ (* x y) 2) (/ (neg z) 8))
(fnmsub x (* y -1/2) (* z -1/8))
(neg (- (/ (* (neg x) y) 2) (/ z 8)))
(fnmsub x (* y -1/2) (* z -1/8))
(neg (- (/ (* x (neg y)) 2) (/ z 8)))
(fnmsub x (* y -1/2) (* z -1/8))
(neg (- (/ (* x y) 2) (/ (neg z) 8)))
(fnmsub x (* y 1/2) (* z 1/8))
(- (/ (* y x) 2) (/ z 8))
(fnmsub x (* y -1/2) (* z 1/8))
(- (/ (* z y) 2) (/ x 8))
(fnmsub x 1/8 (* y (* z -1/2)))
(- (/ (* x z) 2) (/ y 8))
(fnmsub y 1/8 (* z (* x -1/2)))

Symmetry

(sort x y)

explain81.0ms (1.4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 z #s(literal 8 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
-	-	`(*.f64 x y)`
-	-	`z`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`#s(literal 8 binary64)`

Results

53.0ms

512×

valid

Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 6.0ms (40.3% of total)

ival-mult: 5.0ms (33.6% of total)

ival-sub: 3.0ms (20.2% of total)

const: 1.0ms (6.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	cost-diff	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Rules

676×	`fnmadd-define`
424×	`fma-define`
416×	`fmsub-define`
400×	`fnmsub-define`
392×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	24
2	29	24
3	43	24
4	75	24
5	136	24
6	275	24
7	622	24
8	1068	24
9	1577	24
10	1892	24
11	1951	24
12	1959	24
0	1959	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ (* x y) 2) (/ z 8))
(/ (* x y) 2)
(* x y)
x
y
2
(/ z 8)
z
8

Outputs
(- (/ (* x y) 2) (/ z 8))
(+.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(/ (* x y) 2)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(* x y)
(*.f64 x y)
x
y
2
#s(literal 2 binary64)
(/ z 8)
(/.f64 z #s(literal 8 binary64))
z
8
#s(literal 8 binary64)

localize34.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Results

22.0ms

256×

valid

Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions

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

ival-div: 3.0ms (39.9% of total)

ival-mult: 2.0ms (26.6% of total)

ival-sub: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (- (/ (* x y) 2) (/ z 8))>
#<alt (/ (* x y) 2)>
#<alt (* x y)>
#<alt (/ z 8)>

Outputs
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* 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 (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(- (/ (* x y) 2) (/ z 8))
1.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	y	@	inf	(- (/ (* x y) 2) (/ z 8))
1.0ms	x	@	0	(- (/ (* x y) 2) (/ z 8))
0.0ms	x	@	inf	(- (/ (* x y) 2) (/ z 8))

rewrite389.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4654×	`-lowering-.f32`
4654×	`-lowering-.f64`
3062×	`/-lowering-/.f32`
3062×	`/-lowering-/.f64`
1682×	`frac-add`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	52	19
2	513	19
0	9018	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 219

Calls

Call 1

Inputs
(- (/ (* x y) 2) (/ z 8))
(/ (* x y) 2)
(* x y)
(/ z 8)

Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64)))
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 z #s(literal -8 binary64)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64))))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (fma.f64 (/.f64 z #s(literal -8 binary64)) #s(literal 1 binary64) (/.f64 z #s(literal 8 binary64))))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1/8 binary64) (/.f64 z #s(literal 8 binary64))))
(+.f64 (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal -8 binary64))) (+.f64 (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 z #s(literal -8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (neg.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) #s(literal -16 binary64))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal 8 binary64)) (+.f64 (.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))) (neg.f64 (/.f64 (/.f64 (.f64 z (.f64 z z)) #s(literal 512 binary64)) (+.f64 (.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (*.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64))))))))
(+.f64 (/.f64 (.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 z z) #s(literal 64 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64))))))
(+.f64 (fma.f64 x (/.f64 y #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal -1/2 binary64) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) y)) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x y) (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) x (neg.f64 (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) z) (.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 z #s(literal 8 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (.f64 x (.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 z #s(literal -2 binary64)) #s(literal -16 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (-.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) #s(literal -16 binary64)) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal 8 binary64)) (+.f64 (.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))) (/.f64 (/.f64 (.f64 z (.f64 z z)) #s(literal 512 binary64)) (+.f64 (.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (*.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) #s(literal 8 binary64)) (+.f64 (.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))) (-.f64 (/.f64 (/.f64 (.f64 z (.f64 z z)) #s(literal 512 binary64)) (+.f64 (.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (*.f64 (/.f64 z #s(literal 8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))) (/.f64 (/.f64 (*.f64 z z) #s(literal 64 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 #s(literal 1/4 binary64) (.f64 x y)))) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))) (-.f64 (/.f64 (/.f64 (*.f64 z z) #s(literal 64 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))) (+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) #s(literal -16 binary64)) (/.f64 (*.f64 z #s(literal -2 binary64)) #s(literal -16 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x y) (/.f64 z #s(literal 8 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 z #s(literal 8 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 z #s(literal 8 binary64)))))
(-.f64 (/.f64 (neg.f64 (.f64 (.f64 x y) #s(literal -8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 z #s(literal -2 binary64)) #s(literal -16 binary64)))
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(-.f64 (/.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 8 binary64))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) z) (.f64 (/.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 8 binary64))))
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(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(literal -2 binary64)))
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(*.f64 #s(literal 1 binary64) (/.f64 z #s(literal 8 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 z #s(literal -8 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1/8 binary64))
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simplify151.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2038×	`-lowering-.f32`
2038×	`-lowering-.f64`
1994×	`fmsub-define`
1834×	`fmm-def`
1278×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	481
1	132	481
2	400	481
3	1073	481
4	2981	481
5	5790	481
0	8174	481

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))

eval78.0ms (1.3%)

Compiler: Compiled 5713 to 637 computations (88.8% saved)

prune73.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	310	5	315
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	310	6	316

Accuracy

100.0%

Counts

316 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
▶	78.6%	(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) #s(literal 8 binary64)))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶	99.8%	(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
▶	51.9%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
▶	50.2%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 126 to 89 computations (29.4% saved)

simplify224.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)
✓	cost-diff	0	(-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z))
✓	cost-diff	128	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) #s(literal 8 binary64))
✓	cost-diff	512	(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) #s(literal 8 binary64)))
✓	cost-diff	0	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
✓	cost-diff	0	(/.f64 z #s(literal -8 binary64))
✓	cost-diff	0	(/.f64 y #s(literal 2 binary64))
✓	cost-diff	6272	(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))

Rules

4204×	`-lowering-.f32`
4204×	`-lowering-.f64`
2458×	`/-lowering-/.f32`
2458×	`/-lowering-/.f64`
1830×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	58	102
2	161	101
3	571	101
4	2490	101
5	7238	101
0	8004	101

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ y 2) x) (/ z -8))
(/ y 2)
y
2
x
(/ z -8)
z
-8
(* -1/8 z)
-1/8
z
(* 1/2 (* x y))
1/2
(* x y)
x
y
(- (/ x (/ 2 y)) (/ z 8))
(/ x (/ 2 y))
x
(/ 2 y)
2
y
(/ z 8)
z
8
(/ (- -8 (* (/ -2 (* x y)) z)) (* (/ -2 (* x y)) 8))
(- -8 (* (/ -2 (* x y)) z))
-8
(* (/ -2 (* x y)) z)
(/ -2 (* x y))
-2
(* x y)
x
y
z
(* (/ -2 (* x y)) 8)
8

Outputs
(+ (* (/ y 2) x) (/ z -8))
(+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
x
(/ z -8)
(/.f64 z #s(literal -8 binary64))
z
-8
#s(literal -8 binary64)
(* -1/8 z)
(/.f64 z #s(literal -8 binary64))
-1/8
#s(literal -1/8 binary64)
z
(* 1/2 (* x y))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
1/2
#s(literal 1/2 binary64)
(* x y)
(*.f64 y x)
x
y
(- (/ x (/ 2 y)) (/ z 8))
(+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(/ x (/ 2 y))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
x
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(/ z 8)
(/.f64 z #s(literal 8 binary64))
z
8
#s(literal 8 binary64)
(/ (- -8 (* (/ -2 (* x y)) z)) (* (/ -2 (* x y)) 8))
(+.f64 (/.f64 z #s(literal -8 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) y)))
(- -8 (* (/ -2 (* x y)) z))
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x))))
-8
#s(literal -8 binary64)
(* (/ -2 (* x y)) z)
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 z y)) x)
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 y x))
-2
#s(literal -2 binary64)
(* x y)
(*.f64 y x)
x
y
z
(* (/ -2 (* x y)) 8)
(/.f64 #s(literal -16 binary64) (*.f64 y x))
8
#s(literal 8 binary64)

localize136.0ms (2.3%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) #s(literal 8 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal -2 binary64) (*.f64 x y))
✓	accuracy	95.7%	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)
✓	accuracy	78.9%	(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) #s(literal 8 binary64)))
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) z)
✓	accuracy	100.0%	(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
✓	accuracy	100.0%	(/.f64 z #s(literal -8 binary64))
✓	accuracy	100.0%	(/.f64 y #s(literal 2 binary64))

Results

104.0ms

256×

valid

Compiler

Compiled 118 to 25 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 18.0ms (28.5% of total)

compiled-spec: 16.0ms (25.3% of total)

ival-add: 13.0ms (20.6% of total)

ival-div: 12.0ms (19% of total)

ival-sub: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

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

series25.0ms (0.4%)

Counts

15 → 360

Calls

Call 1

Inputs
#<alt (+ (* (/ y 2) x) (/ z -8))>
#<alt (/ y 2)>
#<alt (/ z -8)>
#<alt (* -1/8 z)>
#<alt (* 1/2 (* x y))>
#<alt (* x y)>
#<alt (- (/ x (/ 2 y)) (/ z 8))>
#<alt (/ x (/ 2 y))>
#<alt (/ 2 y)>
#<alt (/ z 8)>
#<alt (/ (- -8 (* (/ -2 (* x y)) z)) (* (/ -2 (* x y)) 8))>
#<alt (* (/ -2 (* x y)) 8)>
#<alt (- -8 (* (/ -2 (* x y)) z))>
#<alt (* (/ -2 (* x y)) z)>
#<alt (/ -2 (* x y))>

Outputs
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* 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 (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (- (* 1/2 (* x y)) (* 1/8 z))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* 1/8 z)>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (* 2 (/ z (* x y)))>
#<alt (/ (- (* -8 x) (* -2 (/ z y))) x)>
#<alt (/ (- (* -8 x) (* -2 (/ z y))) x)>
#<alt (/ (- (* -8 x) (* -2 (/ z y))) x)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (* 2 (/ z (* x y)))>
#<alt (/ (- (* -8 y) (* -2 (/ z x))) y)>
#<alt (/ (- (* -8 y) (* -2 (/ z x))) y)>
#<alt (/ (- (* -8 y) (* -2 (/ z x))) y)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (* 2 (/ z (* x y)))>
#<alt (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))>
#<alt (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))>
#<alt (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))>
#<alt (* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))>
#<alt (* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ (- -8 (* (/ -2 (* x y)) z)) (* (/ -2 (* x y)) 8))
3.0ms	z	@	-inf	(/ (- -8 (* (/ -2 (* x y)) z)) (* (/ -2 (* x y)) 8))
2.0ms	x	@	0	(/ (- -8 (* (/ -2 (* x y)) z)) (* (/ -2 (* x y)) 8))
1.0ms	z	@	inf	(/ (- -8 (* (/ -2 (* x y)) z)) (* (/ -2 (* x y)) 8))
1.0ms	z	@	0	(/ (- -8 (* (/ -2 (* x y)) z)) (* (/ -2 (* x y)) 8))

rewrite419.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3636×	`/-lowering-/.f32`
3636×	`/-lowering-/.f64`
2820×	`-lowering-.f32`
2820×	`-lowering-.f64`
1838×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	78
1	152	78
2	1478	77
0	8191	77

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1227

Calls

Call 1

Inputs
(+ (* (/ y 2) x) (/ z -8))
(/ y 2)
(/ z -8)
(* -1/8 z)
(* 1/2 (* x y))
(* x y)
(- (/ x (/ 2 y)) (/ z 8))
(/ x (/ 2 y))
(/ 2 y)
(/ z 8)
(/ (- -8 (* (/ -2 (* x y)) z)) (* (/ -2 (* x y)) 8))
(* (/ -2 (* x y)) 8)
(- -8 (* (/ -2 (* x y)) z))
(* (/ -2 (* x y)) z)
(/ -2 (* x y))

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

simplify236.0ms (4%)

Algorithm

1×	egg-herbie

Rules

3422×	`-lowering-.f32`
3422×	`-lowering-.f64`
1366×	`fmsub-define`
1188×	`fmm-def`
1030×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	2046
1	232	2046
2	639	1992
3	1649	1992
4	4547	1992
0	8290	1992

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(* 2 (/ z (* x y)))
(/ (- (* -8 x) (* -2 (/ z y))) x)
(/ (- (* -8 x) (* -2 (/ z y))) x)
(/ (- (* -8 x) (* -2 (/ z y))) x)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(* 2 (/ z (* x y)))
(/ (- (* -8 y) (* -2 (/ z x))) y)
(/ (- (* -8 y) (* -2 (/ z x))) y)
(/ (- (* -8 y) (* -2 (/ z x))) y)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(* 2 (/ z (* x y)))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(* 2 (/ z (* x y)))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
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(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 (* x y))
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(* 2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y)))
(/ (- (* -8 x) (* -2 (/ z y))) x)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(/ (- (* -8 x) (* -2 (/ z y))) x)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(/ (- (* -8 x) (* -2 (/ z y))) x)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(* 2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y)))
(/ (- (* -8 y) (* -2 (/ z x))) y)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(/ (- (* -8 y) (* -2 (/ z x))) y)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(/ (- (* -8 y) (* -2 (/ z x))) y)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(- (* 2 (/ z (* x y))) 8)
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(* 2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y)))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(* 2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y)))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(* -2 (/ z (* x y)))
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))

eval262.0ms (4.5%)

Compiler: Compiled 35410 to 1843 computations (94.8% saved)

prune141.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1688	4	1692
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1691	7	1698

Accuracy

100.0%

Counts

1698 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.6%	(/.f64 (-.f64 #s(literal 8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x)))) (/.f64 #s(literal 16 binary64) (*.f64 y x)))
▶	78.3%	(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (/.f64 (/.f64 #s(literal -16 binary64) x) y))
▶	51.7%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
▶	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	51.9%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	50.2%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 78 to 58 computations (25.6% saved)

simplify218.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 y x))
✓	cost-diff	0	(.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x)))
✓	cost-diff	0	(-.f64 #s(literal 8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x))))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x)))) (/.f64 #s(literal 16 binary64) (*.f64 y x)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x y))
✓	cost-diff	0	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)
✓	cost-diff	0	(-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (/.f64 (/.f64 #s(literal -16 binary64) x) y))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) y)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	cost-diff	0	(/.f64 #s(literal -8 binary64) z)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))

Rules

3474×	`-lowering-.f32`
3474×	`-lowering-.f64`
1804×	`/-lowering-/.f32`
1804×	`/-lowering-/.f64`
1336×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	123
1	69	123
2	198	119
3	744	117
4	3667	107
0	8365	107

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ -8 z))
1
(/ -8 z)
-8
z
(/ x (/ 2 y))
x
(/ 2 y)
2
y
(/ (- -8 (* (/ -2 (* x y)) z)) (/ (/ -16 x) y))
(- -8 (* (/ -2 (* x y)) z))
-8
(* (/ -2 (* x y)) z)
(/ -2 (* x y))
-2
(* x y)
x
y
z
(/ (/ -16 x) y)
(/ -16 x)
-16
(/ (- 8 (* z (/ 2 (* y x)))) (/ 16 (* y x)))
(- 8 (* z (/ 2 (* y x))))
8
(* z (/ 2 (* y x)))
z
(/ 2 (* y x))
2
(* y x)
y
x
(/ 16 (* y x))
16

Outputs
(/ 1 (/ -8 z))
(*.f64 z #s(literal -1/8 binary64))
1
#s(literal 1 binary64)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
-8
#s(literal -8 binary64)
z
(/ x (/ 2 y))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
x
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(/ (- -8 (* (/ -2 (* x y)) z)) (/ (/ -16 x) y))
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(- -8 (* (/ -2 (* x y)) z))
(+.f64 #s(literal -8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y))))
-8
#s(literal -8 binary64)
(* (/ -2 (* x y)) z)
(.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y)))
(/ -2 (* x y))
(/.f64 #s(literal -2 binary64) (*.f64 x y))
-2
#s(literal -2 binary64)
(* x y)
(*.f64 x y)
x
y
z
(/ (/ -16 x) y)
(/.f64 #s(literal -16 binary64) (*.f64 x y))
(/ -16 x)
(/.f64 #s(literal -16 binary64) x)
-16
#s(literal -16 binary64)
(/ (- 8 (* z (/ 2 (* y x)))) (/ 16 (* y x)))
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(- 8 (* z (/ 2 (* y x))))
(+.f64 (.f64 z (/.f64 #s(literal -2 binary64) (.f64 x y))) #s(literal 8 binary64))
8
#s(literal 8 binary64)
(* z (/ 2 (* y x)))
(.f64 z (/.f64 #s(literal 2 binary64) (.f64 x y)))
z
(/ 2 (* y x))
(/.f64 #s(literal 2 binary64) (*.f64 x y))
2
#s(literal 2 binary64)
(* y x)
(*.f64 x y)
y
x
(/ 16 (* y x))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
16
#s(literal 16 binary64)

localize148.0ms (2.5%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (*.f64 y x))
✓	accuracy	99.4%	(/.f64 #s(literal 16 binary64) (*.f64 y x))
✓	accuracy	95.7%	(.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x)))
✓	accuracy	78.9%	(/.f64 (-.f64 #s(literal 8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x)))) (/.f64 #s(literal 16 binary64) (*.f64 y x)))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal -16 binary64) x) y)
✓	accuracy	99.5%	(/.f64 #s(literal -2 binary64) (*.f64 x y))
✓	accuracy	95.7%	(.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)
✓	accuracy	78.9%	(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (/.f64 (/.f64 #s(literal -16 binary64) x) y))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) y)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal -8 binary64) z)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))

Results

97.0ms

256×

valid

Compiler

Compiled 129 to 28 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 27.0ms (54.5% of total)

ival-div: 18.0ms (36.4% of total)

ival-sub: 3.0ms (6.1% of total)

const: 1.0ms (2% of total)

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

series15.0ms (0.3%)

Counts

14 → 372

Calls

Call 1

Inputs
#<alt (/ 1 (/ -8 z))>
#<alt (/ -8 z)>
#<alt (/ x (/ 2 y))>
#<alt (/ 2 y)>
#<alt (/ (- -8 (* (/ -2 (* x y)) z)) (/ (/ -16 x) y))>
#<alt (- -8 (* (/ -2 (* x y)) z))>
#<alt (* (/ -2 (* x y)) z)>
#<alt (/ -2 (* x y))>
#<alt (/ (- 8 (* z (/ 2 (* y x)))) (/ 16 (* y x)))>
#<alt (- 8 (* z (/ 2 (* y x))))>
#<alt (* z (/ 2 (* y x)))>
#<alt (/ 2 (* y x))>
#<alt (/ (/ -16 x) y)>
#<alt (/ 16 (* y x))>

Outputs
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (* -1/8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (/ -8 z)>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (/ 2 y)>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* 2 (/ z (* x y)))>
#<alt (/ (- (* -8 x) (* -2 (/ z y))) x)>
#<alt (/ (- (* -8 x) (* -2 (/ z y))) x)>
#<alt (/ (- (* -8 x) (* -2 (/ z y))) x)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (* 2 (/ z (* x y)))>
#<alt (/ (- (* -8 y) (* -2 (/ z x))) y)>
#<alt (/ (- (* -8 y) (* -2 (/ z x))) y)>
#<alt (/ (- (* -8 y) (* -2 (/ z x))) y)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt -8>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (- (* 2 (/ z (* x y))) 8)>
#<alt (* 2 (/ z (* x y)))>
#<alt (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))>
#<alt (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))>
#<alt (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))>
#<alt (* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))>
#<alt (* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -2 (/ z (* x y)))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (/ -2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* -1/8 z)>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* z (- (* 1/2 (/ (* x y) z)) 1/8))>
#<alt (* -1/8 z)>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))>
#<alt (* -1/8 z)>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (+ (* -1/8 z) (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))>
#<alt 8>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y)))))>
#<alt (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y)))))>
#<alt (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y)))))>
#<alt (* -2 (/ z (* x y)))>
#<alt (* -1 (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z)))))>
#<alt (* -2 (/ z (* x y)))>
#<alt (/ (- (* 8 y) (* 2 (/ z x))) y)>
#<alt (/ (- (* 8 y) (* 2 (/ z x))) y)>
#<alt (/ (- (* 8 y) (* 2 (/ z x))) y)>
#<alt 8>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt 8>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (* -2 (/ z (* x y)))>
#<alt (/ (- (* 8 x) (* 2 (/ z y))) x)>
#<alt (/ (- (* 8 x) (* 2 (/ z y))) x)>
#<alt (/ (- (* 8 x) (* 2 (/ z y))) x)>
#<alt 8>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt 8>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (+ 8 (* -2 (/ z (* x y))))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (* 2 (/ z (* x y)))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ 2 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ -16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>
#<alt (/ 16 (* x y))>

Calls

93 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/ (- 8 (* z (/ 2 (* y x)))) (/ 16 (* y x)))
1.0ms	z	@	inf	(/ (- 8 (* z (/ 2 (* y x)))) (/ 16 (* y x)))
0.0ms	y	@	0	(/ (- 8 (* z (/ 2 (* y x)))) (/ 16 (* y x)))
0.0ms	x	@	0	(/ (- 8 (* z (/ 2 (* y x)))) (/ 16 (* y x)))
0.0ms	x	@	-inf	(/ (- 8 (* z (/ 2 (* y x)))) (/ 16 (* y x)))

rewrite446.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4408×	`/-lowering-/.f32`
4408×	`/-lowering-/.f64`
3876×	`-lowering-.f32`
3876×	`-lowering-.f64`
1576×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	96
1	171	96
2	1209	92
0	8538	92

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1392

Calls

Call 1

Inputs
(/ 1 (/ -8 z))
(/ -8 z)
(/ x (/ 2 y))
(/ 2 y)
(/ (- -8 (* (/ -2 (* x y)) z)) (/ (/ -16 x) y))
(- -8 (* (/ -2 (* x y)) z))
(* (/ -2 (* x y)) z)
(/ -2 (* x y))
(/ (- 8 (* z (/ 2 (* y x)))) (/ 16 (* y x)))
(- 8 (* z (/ 2 (* y x))))
(* z (/ 2 (* y x)))
(/ 2 (* y x))
(/ (/ -16 x) y)
(/ 16 (* y x))

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

simplify198.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2564×	`-lowering-.f32`
2564×	`-lowering-.f64`
2222×	`fnmadd-define`
1532×	`fmsub-define`
1380×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	2297
1	267	2270
2	729	2216
3	1909	2216
4	5505	2216
0	8104	2216

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(/ -8 z)
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(/ 2 y)
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 2 (/ z (* x y)))
(/ (- (* -8 x) (* -2 (/ z y))) x)
(/ (- (* -8 x) (* -2 (/ z y))) x)
(/ (- (* -8 x) (* -2 (/ z y))) x)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(* 2 (/ z (* x y)))
(/ (- (* -8 y) (* -2 (/ z x))) y)
(/ (- (* -8 y) (* -2 (/ z x))) y)
(/ (- (* -8 y) (* -2 (/ z x))) y)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
-8
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(- (* 2 (/ z (* x y))) 8)
(* 2 (/ z (* x y)))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(* 2 (/ z (* x y)))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(* -2 (/ z (* x y)))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(/ -2 (* x y))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
8
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
(* -2 (/ z (* x y)))
(* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y)))))
(* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y)))))
(* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y)))))
(* -2 (/ z (* x y)))
(* -1 (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z)))))
(* -1 (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z)))))
(* -1 (* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z)))))
(* -2 (/ z (* x y)))
(/ (- (* 8 y) (* 2 (/ z x))) y)
(/ (- (* 8 y) (* 2 (/ z x))) y)
(/ (- (* 8 y) (* 2 (/ z x))) y)
8
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
8
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
(* -2 (/ z (* x y)))
(/ (- (* 8 x) (* 2 (/ z y))) x)
(/ (- (* 8 x) (* 2 (/ z y))) x)
(/ (- (* 8 x) (* 2 (/ z y))) x)
8
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
8
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
(+ 8 (* -2 (/ z (* x y))))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(* 2 (/ z (* x y)))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ 2 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ -16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))
(/ 16 (* x y))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(/ -8 z)
(/.f64 #s(literal -8 binary64) z)
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(* 2 (/ z (* x y)))
(/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y)
(/ (- (* -8 x) (* -2 (/ z y))) x)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(/ (- (* -8 x) (* -2 (/ z y))) x)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(/ (- (* -8 x) (* -2 (/ z y))) x)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(* 2 (/ z (* x y)))
(/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y)
(/ (- (* -8 y) (* -2 (/ z x))) y)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(/ (- (* -8 y) (* -2 (/ z x))) y)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(/ (- (* -8 y) (* -2 (/ z x))) y)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
-8
#s(literal -8 binary64)
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(- (* 2 (/ z (* x y))) 8)
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(* 2 (/ z (* x y)))
(/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y)
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(* z (- (* 2 (/ 1 (* x y))) (* 8 (/ 1 z))))
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(* 2 (/ z (* x y)))
(/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y)
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(* -1 (* z (- (* 8 (/ 1 z)) (* 2 (/ 1 (* x y))))))
(+.f64 (/.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) x) y) #s(literal -8 binary64))
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
(/.f64 (*.f64 z (/.f64 #s(literal -2 binary64) y)) x)
(* -2 (/ z (* x y)))
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(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/ 16 (* x y))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/ 16 (* x y))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/ 16 (* x y))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/ 16 (* x y))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/ 16 (* x y))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/ 16 (* x y))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/ 16 (* x y))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/ 16 (* x y))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/ 16 (* x y))
(/.f64 #s(literal 16 binary64) (*.f64 x y))

eval220.0ms (3.7%)

Compiler: Compiled 48566 to 2919 computations (94% saved)

prune181.0ms (3.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1763	1	1764
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1764	7	1771

Accuracy

100.0%

Counts

1771 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(/.f64 (-.f64 #s(literal 8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x)))) (/.f64 #s(literal 16 binary64) (*.f64 y x)))
✓	51.7%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
▶	51.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	51.9%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	50.2%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 70 to 53 computations (24.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	14	15
2	24	15
3	37	15
4	44	15
5	68	15
6	72	15
0	72	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ 1/2 (/ (/ 1 x) y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
1/2
#s(literal 1/2 binary64)
(/ (/ 1 x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
y

localize26.0ms (0.4%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	99.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))

Results

18.0ms

256×

valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

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

ival-div: 6.0ms (95.5% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (/ 1/2 (/ (/ 1 x) y))>
#<alt (/ (/ 1 x) y)>
#<alt (/ 1 x)>

Outputs
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (* 1/2 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<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)>

Calls

15 calls:

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

rewrite265.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2646×	`-lowering-.f32`
2646×	`-lowering-.f64`
1942×	`/-lowering-/.f32`
1942×	`/-lowering-/.f64`
1588×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	37	11
2	180	11
3	810	11
4	4620	11
0	8096	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 343

Calls

Call 1

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

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

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
10×	`*-commutative`
10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	17	240
2	26	240
3	29	240
0	29	240

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

Outputs
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 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)

eval61.0ms (1%)

Compiler: Compiled 4883 to 887 computations (81.8% saved)

prune53.0ms (0.9%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	403	0	403
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	403	7	410

Accuracy

100.0%

Counts

410 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(/.f64 (-.f64 #s(literal 8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x)))) (/.f64 #s(literal 16 binary64) (*.f64 y x)))
✓	51.7%	(/.f64 x (/.f64 #s(literal 2 binary64) y))
✓	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	51.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	51.9%	(.f64 #s(literal 1/2 binary64) (.f64 x y))
✓	50.2%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 171 to 96 computations (43.9% saved)

regimes31.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (/.f64 (/.f64 #s(literal -16 binary64) x) y))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x)))) (/.f64 #s(literal 16 binary64) (*.f64 y x)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) #s(literal 8 binary64)))
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))

Outputs
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))

Calls

7 calls:

6.0ms	x
4.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
4.0ms	z
4.0ms	(/.f64 z #s(literal 8 binary64))
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes28.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (/.f64 (/.f64 #s(literal -16 binary64) x) y))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 z (/.f64 #s(literal 2 binary64) (.f64 y x)))) (/.f64 #s(literal 16 binary64) (*.f64 y x)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) z)) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x y)) #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Calls

7 calls:

4.0ms	y
4.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
4.0ms	(/.f64 z #s(literal 8 binary64))
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes16.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))

Calls

5 calls:

4.0ms	(*.f64 x y)
3.0ms	(/.f64 z #s(literal 8 binary64))
3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(*.f64 x y)`
99.8%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes12.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/2 binary64) (.f64 x y))

Calls

4 calls:

4.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
74.2%	3	`x`
75.6%	3	`y`
73.8%	3	`z`
80.7%	3	`(*.f64 x y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(*.f64 #s(literal -1/8 binary64) z)

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0618702674817695e-145	2.4926917438366495e-131
0.0ms	-7.909646766885706e-8	-1.0683892999203802e-15

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	50
1	35	50
2	45	50
3	51	50
4	56	50
5	58	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -944473296573929/18889465931478580854784 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) y)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -944473296573929/18889465931478580854784 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(if (<=.f64 (.f64 y x) #s(literal -944473296573929/18889465931478580854784 binary64)) (.f64 (.f64 y x) #s(literal 1/2 binary64)) (if (<=.f64 (.f64 y x) #s(literal 5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 (*.f64 y x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))

soundness731.0ms (12.5%)

Rules

4654×	`-lowering-.f32`
4654×	`-lowering-.f64`
3062×	`/-lowering-/.f32`
3062×	`/-lowering-/.f64`
2038×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	481
1	132	481
2	400	481
3	1073	481
4	2981	481
5	5790	481
0	8174	481
0	9	20
1	52	19
2	513	19
0	9018	19

Stop Event

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

Compiler

Compiled 100 to 59 computations (41% saved)

preprocess51.0ms (0.9%)

Remove: (sort x y)
Compiler: Compiled 204 to 118 computations (42.2% saved)

analyze0.0ms (0%)

sample698.0ms (11.9%)

preprocess115.0ms (2%)

explain81.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify45.0ms (0.8%)

localize34.0ms (0.6%)

series8.0ms (0.1%)

rewrite389.0ms (6.6%)

simplify151.0ms (2.6%)

eval78.0ms (1.3%)

prune73.0ms (1.2%)

simplify224.0ms (3.8%)

localize136.0ms (2.3%)

series25.0ms (0.4%)

rewrite419.0ms (7.1%)

simplify236.0ms (4%)

eval262.0ms (4.5%)

prune141.0ms (2.4%)

simplify218.0ms (3.7%)

localize148.0ms (2.5%)

series15.0ms (0.3%)

rewrite446.0ms (7.6%)

simplify198.0ms (3.4%)

eval220.0ms (3.7%)

prune181.0ms (3.1%)

simplify6.0ms (0.1%)

localize26.0ms (0.4%)

series2.0ms (0%)

rewrite265.0ms (4.5%)

simplify27.0ms (0.5%)

eval61.0ms (1%)

prune53.0ms (0.9%)

regimes31.0ms (0.5%)

regimes28.0ms (0.5%)

regimes16.0ms (0.3%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

soundness731.0ms (12.5%)

preprocess51.0ms (0.9%)

end0.0ms (0%)

Profiling