Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

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 19 to 9 computations (52.6% saved)

Precisions

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

ival-add: 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)

sample853.0ms (11.8%)

Results

662.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 418.0ms

ival-mult: 296.0ms (70.9% of total)

ival-add: 112.0ms (26.8% of total)

const: 7.0ms (1.7% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess68.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

2350×	`fnmadd-define`
2036×	`sum3-define`
1730×	`fmsub-define`
1610×	`fnmsub-define`
1436×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	107
1	134	103
2	347	73
3	1034	70
4	4304	70
5	6789	70
0	8	10
1	19	10
2	43	7
3	72	7
4	93	7
5	99	7
0	99	7

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

Outputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))

Call 2

Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z)))
(neg (+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z)))
(neg (+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z)))
(neg (+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z))))
(+ (+ (+ (* y x) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* z y) (* x x)) (* x x)) (* x x))
(+ (+ (+ (* x z) (* y y)) (* y y)) (* y y))

Outputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(fmsub x y (* (square z) -3))
(+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z))
(fnmsub x y (* (square z) -3))
(+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z))
(fnmsub x y (* (square z) -3))
(+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z)))
(fmsub x y (* (square z) -3))
(neg (+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z)))
(fmsub x y (* (square z) 3))
(neg (+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z)))
(fmsub x y (* (square z) 3))
(neg (+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z))))
(fnmsub x y (* (square z) 3))
(+ (+ (+ (* y x) (* z z)) (* z z)) (* z z))
(fmsub x y (* (square z) -3))
(+ (+ (+ (* z y) (* x x)) (* x x)) (* x x))
(fma y z (* (square x) 3))
(+ (+ (+ (* x z) (* y y)) (* y y)) (* y y))
(fma (square y) 3 (* x z))

Symmetry

(abs z)

(sort x y)

explain80.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`z`
0	-	-	`y`
0	-	-	`(*.f64 z z)`

Results

48.0ms

512×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 16.0ms (65.2% of total)

ival-add: 7.0ms (28.5% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	15	20
2	22	20
3	23	20
0	23	20

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x y) (* (* z z) 3))
(* x y)
x
y
(* (* z z) 3)
(* z z)
z
3

Outputs
(+ (* x y) (* (* z z) 3))
(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))
(* x y)
(*.f64 x y)
x
y
(* (* z z) 3)
(.f64 z (.f64 z #s(literal 3 binary64)))
(* z z)
(*.f64 z z)
z
3
#s(literal 3 binary64)

localize28.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	98.4%	(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))

Results

20.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-mult: 6.0ms (74.6% of total)

ival-add: 2.0ms (24.9% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (+ (* x y) (* (* z z) 3))>
#<alt (* x y)>
#<alt (* (* z z) 3)>
#<alt (* z z)>

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

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(+ (* x y) (* (* z z) 3))
1.0ms	z	@	inf	(* (* z z) 3)
1.0ms	x	@	0	(+ (* x y) (* (* z z) 3))
0.0ms	z	@	0	(+ (* x y) (* (* z z) 3))
0.0ms	z	@	inf	(+ (* x y) (* (* z z) 3))

rewrite237.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3424×	`-lowering-.f32`
3424×	`-lowering-.f64`
1680×	`fmsub-define`
1680×	`fmm-def`
1662×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	29	16
2	250	16
3	3216	16
0	8336	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 104

Calls

Call 1

Inputs
(+ (* x y) (* (* z z) 3))
(* x y)
(* (* z z) 3)
(* z z)

Outputs
(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))
(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(fma.f64 y x (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64)))))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 x (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 y (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64)))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) #s(literal -27 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 z z) (+.f64 (.f64 (.f64 z z) #s(literal 9 binary64)) (.f64 (.f64 x y) #s(literal 3 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))))
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64)))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64)))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) #s(literal 19683 binary64)))) (.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))) (+.f64 (.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 x (.f64 y y))))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) #s(literal 729 binary64))))) (.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) #s(literal -27 binary64)))))
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(.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -9 binary64))) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) #s(literal -27 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 z z) (+.f64 (.f64 (.f64 z z) #s(literal 9 binary64)) (.f64 (.f64 x y) #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))) (+.f64 (.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) #s(literal 19683 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))) (-.f64 (.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) #s(literal 729 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) #s(literal -27 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))) (-.f64 (.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) #s(literal 729 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) #s(literal 81 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 z (.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 z (pow.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (pow.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 z) #s(literal 1 binary64)) (.f64 (log.f64 z) #s(literal 1 binary64))))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (exp.f64 (log.f64 z)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 z)) #s(literal 1 binary64)))

simplify164.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2446×	`-lowering-.f32`
2446×	`-lowering-.f64`
2116×	`fmm-def`
1938×	`fma-lowering-fma.f32`
1938×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	419
1	97	364
2	306	364
3	850	364
4	2398	364
5	7182	364
0	8523	364

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval20.0ms (0.3%)

Compiler: Compiled 5302 to 330 computations (93.8% saved)

prune19.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	6	189

Accuracy

100.0%

Counts

189 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.2%	(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))
▶	97.9%	(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
✓	98.0%	(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
▶	30.4%	(.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))) (/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))))))
▶	51.6%	(*.f64 x y)
▶	53.8%	(.f64 #s(literal 3 binary64) (.f64 z z))

Compiler

Compiled 244 to 118 computations (51.6% saved)

simplify321.0ms (4.5%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64))))))
✓	cost-diff	3072	(.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))) (/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64)))
✓	cost-diff	0	(-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 x (*.f64 y y))))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(.f64 z (.f64 z #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))

Rules

5022×	`-lowering-.f32`
5022×	`-lowering-.f64`
2662×	`+-lowering-+.f64`
2662×	`+-lowering-+.f32`
1694×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	229
1	84	209
2	260	209
3	796	209
4	2721	209
5	5848	209
0	8209	209

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* z (* z 3)) (* x y))
(* z (* z 3))
z
(* z 3)
3
(* x y)
x
y
(* x y)
x
y
(* 3 (* z z))
3
(* z z)
z
(/ (- (* (* z z) (* (* z z) 9)) (* x (* x (* y y)))) (- (* z (* z 3)) (* x y)))
(- (* (* z z) (* (* z z) 9)) (* x (* x (* y y))))
(* (* z z) (* (* z z) 9))
(* z z)
z
(* (* z z) 9)
9
(* x (* x (* y y)))
x
(* x (* y y))
(* y y)
y
(- (* z (* z 3)) (* x y))
(* z (* z 3))
(* z 3)
3
(* x y)
(* (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))) (/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3)))))))
(+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3)))))
(* (* z z) (* (* z z) 9))
(* z z)
z
(* (* z z) 9)
9
(* (* x y) (+ (* x y) (* z (* z -3))))
(* x y)
x
y
(+ (* x y) (* z (* z -3)))
(* z (* z -3))
(* z -3)
-3
(/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))))
(+ (* x y) (* z (* z 3)))
(* z (* z 3))
(* z 3)
3

Outputs
(+ (* z (* z 3)) (* x y))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 x y))
(* z (* z 3))
(.f64 #s(literal 3 binary64) (.f64 z z))
z
(* z 3)
(*.f64 z #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x y)
(*.f64 x y)
x
y
(* x y)
(*.f64 x y)
x
y
(* 3 (* z z))
(.f64 #s(literal 3 binary64) (.f64 z z))
3
#s(literal 3 binary64)
(* z z)
(*.f64 z z)
z
(/ (- (* (* z z) (* (* z z) 9)) (* x (* x (* y y)))) (- (* z (* z 3)) (* x y)))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64)))) (.f64 y (.f64 x (.f64 x y)))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x y)))
(- (* (* z z) (* (* z z) 9)) (* x (* x (* y y))))
(-.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64)))) (.f64 y (.f64 x (*.f64 x y))))
(* (* z z) (* (* z z) 9))
(.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64))))
(* z z)
(*.f64 z z)
z
(* (* z z) 9)
(.f64 (.f64 z z) #s(literal 9 binary64))
9
#s(literal 9 binary64)
(* x (* x (* y y)))
(.f64 y (.f64 x (*.f64 x y)))
x
(* x (* y y))
(.f64 x (.f64 y y))
(* y y)
(*.f64 y y)
y
(- (* z (* z 3)) (* x y))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 x y))
(* z (* z 3))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* z 3)
(*.f64 z #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x y)
(*.f64 x y)
(* (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))) (/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3)))))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 x y))
(+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3)))))
(+.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64)))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64))))))
(* (* z z) (* (* z z) 9))
(.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64))))
(* z z)
(*.f64 z z)
z
(* (* z z) 9)
(.f64 (.f64 z z) #s(literal 9 binary64))
9
#s(literal 9 binary64)
(* (* x y) (+ (* x y) (* z (* z -3))))
(.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64)))))
(* x y)
(*.f64 x y)
x
y
(+ (* x y) (* z (* z -3)))
(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64))))
(* z (* z -3))
(.f64 z (.f64 z #s(literal -3 binary64)))
(* z -3)
(*.f64 z #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))))
(/.f64 (+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x y)) (+.f64 (.f64 z (.f64 z (.f64 (.f64 z z) #s(literal 9 binary64)))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
(+ (* x y) (* z (* z 3)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 x y))
(* z (* z 3))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* z 3)
(*.f64 z #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize194.0ms (2.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.5%	(+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64))))))
✓	accuracy	89.5%	(.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64)))))
✓	accuracy	39.9%	(.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))) (/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))))))
✓	accuracy	33.5%	(/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))))
✓	accuracy	94.7%	(.f64 x (.f64 x (*.f64 y y)))
✓	accuracy	89.4%	(.f64 x (.f64 y y))
✓	accuracy	89.2%	(-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 x (*.f64 y y))))
✓	accuracy	38.8%	(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 z (.f64 z #s(literal 3 binary64)))
✓	accuracy	98.4%	(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))

Results

131.0ms

256×

valid

Compiler

Compiled 330 to 29 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 23.0ms (68.1% of total)

ival-add: 4.0ms (11.8% of total)

ival-div: 3.0ms (8.9% of total)

ival-sub: 2.0ms (5.9% of total)

const: 1.0ms (3% of total)

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

series62.0ms (0.9%)

Counts

15 → 384

Calls

Call 1

Inputs
#<alt (+ (* z (* z 3)) (* x y))>
#<alt (* z (* z 3))>
#<alt (* z 3)>
#<alt (* x y)>
#<alt (* 3 (* z z))>
#<alt (* z z)>
#<alt (/ (- (* (* z z) (* (* z z) 9)) (* x (* x (* y y)))) (- (* z (* z 3)) (* x y)))>
#<alt (- (* (* z z) (* (* z z) 9)) (* x (* x (* y y))))>
#<alt (* (* z z) (* (* z z) 9))>
#<alt (* (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))) (/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3)))))))>
#<alt (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3)))))>
#<alt (* x (* y y))>
#<alt (* x (* x (* y y)))>
#<alt (/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))))>
#<alt (* (* x y) (+ (* x y) (* z (* z -3))))>

Outputs
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<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 (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))>
#<alt (- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))>
#<alt (- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))>
#<alt (* 9 (pow z 4))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* 9 (pow z 4))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* 9 (pow z 4))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* 9 (pow z 4))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (+ (* -3 (* x (* y (pow z 2)))) (* (pow x 2) (pow y 2)))>
#<alt (+ (* (pow x 2) (pow y 2)) (* (pow z 2) (+ (* -3 (* x y)) (* 9 (pow z 2)))))>
#<alt (+ (* (pow x 2) (pow y 2)) (* (pow z 2) (+ (* -3 (* x y)) (* 9 (pow z 2)))))>
#<alt (* 9 (pow z 4))>
#<alt (* (pow z 4) (+ 9 (* -3 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 4) (+ 9 (+ (* -3 (/ (* x y) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (+ (* -3 (/ (* x y) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* 9 (pow z 4))>
#<alt (* (pow z 4) (+ 9 (* -3 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 4) (+ 9 (+ (* -3 (/ (* x y) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (+ (* -3 (/ (* x y) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* 9 (pow z 4))>
#<alt (+ (* -3 (* x (* y (pow z 2)))) (* 9 (pow z 4)))>
#<alt (+ (* 9 (pow z 4)) (* x (+ (* -3 (* y (pow z 2))) (* x (pow y 2)))))>
#<alt (+ (* 9 (pow z 4)) (* x (+ (* -3 (* y (pow z 2))) (* x (pow y 2)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (+ (* 9 (/ (pow z 4) (pow x 2))) (pow y 2))))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (+ (* 9 (/ (pow z 4) (pow x 2))) (pow y 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -9 (/ (pow z 4) x)) (* 3 (* y (pow z 2)))) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -9 (/ (pow z 4) x)) (* 3 (* y (pow z 2)))) x)) (pow y 2)))>
#<alt (* 9 (pow z 4))>
#<alt (+ (* -3 (* x (* y (pow z 2)))) (* 9 (pow z 4)))>
#<alt (+ (* 9 (pow z 4)) (* y (+ (* -3 (* x (pow z 2))) (* (pow x 2) y))))>
#<alt (+ (* 9 (pow z 4)) (* y (+ (* -3 (* x (pow z 2))) (* (pow x 2) y))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (+ (* 9 (/ (pow z 4) (pow y 2))) (pow x 2))))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (+ (* 9 (/ (pow z 4) (pow y 2))) (pow x 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -9 (/ (pow z 4) y)) (* 3 (* x (pow z 2)))) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -9 (/ (pow z 4) y)) (* 3 (* x (pow z 2)))) y)) (pow x 2)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (+ (* x (- (* 1/9 (/ y (pow z 4))) (* -1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (+ (* -1 (* x (+ (* -1/3 (/ (* y (- (* 1/9 (/ y (pow z 4))) (* -1/9 (/ y (pow z 4))))) (pow z 2))) (* 1/27 (/ (pow y 2) (pow z 6)))))) (* 1/9 (/ y (pow z 4)))) (* -1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (+ (* 1/9 (/ y (pow z 4))) (* x (- (* -1 (* x (+ (* 1/9 (/ (* (pow y 2) (- (* 1/9 (/ y (pow z 4))) (* -1/9 (/ y (pow z 4))))) (pow z 4))) (* 1/3 (/ (* y (+ (* -1/3 (/ (* y (- (* 1/9 (/ y (pow z 4))) (* -1/9 (/ y (pow z 4))))) (pow z 2))) (* 1/27 (/ (pow y 2) (pow z 6))))) (pow z 2)))))) (+ (* -1/3 (/ (* y (- (* 1/9 (/ y (pow z 4))) (* -1/9 (/ y (pow z 4))))) (pow z 2))) (* 1/27 (/ (pow y 2) (pow z 6))))))) (* -1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (- (+ (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) (* -3 (/ (pow z 2) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* -3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow y 2))) (* -3 (/ (pow z 2) (pow y 2))))) y)) (* 9 (/ (pow z 4) (pow y 3)))) (pow x 2))) (+ (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y))) (* -3 (/ (pow z 2) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ (* 3 (/ (* (pow z 2) (+ (* -3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow y 2))) (* -3 (/ (pow z 2) (pow y 2))))) y)) (* 9 (/ (pow z 4) (pow y 3))))) y)) (* 9 (/ (* (pow z 4) (- (* 3 (/ (pow z 2) (pow y 2))) (* -3 (/ (pow z 2) (pow y 2))))) (pow y 2)))) (pow x 3))) (+ (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y))) (+ (* -3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow y 2))) (* -3 (/ (pow z 2) (pow y 2))))) (* (pow x 2) y))) (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3))))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 3 (/ (pow z 2) (pow y 2))) (* -3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -9 (/ (pow z 4) (* x (pow y 3)))) (+ (* 3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow y 2))) (* -3 (/ (pow z 2) (pow y 2))))) (* x y))) (* 3 (/ (pow z 2) (pow y 2))))) (* -3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3 (/ (* (pow z 2) (+ (* -9 (/ (pow z 4) (pow y 3))) (* 3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow y 2))) (* -3 (/ (pow z 2) (pow y 2))))) y)))) (* x y))) (* 9 (/ (* (pow z 4) (- (* 3 (/ (pow z 2) (pow y 2))) (* -3 (/ (pow z 2) (pow y 2))))) (* x (pow y 2))))) (+ (* -9 (/ (pow z 4) (pow y 3))) (* 3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow y 2))) (* -3 (/ (pow z 2) (pow y 2))))) y)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) (* -3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (/ 1/3 (pow z 2))>
#<alt (+ (* y (- (* 1/9 (/ x (pow z 4))) (* -1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (+ (* -1 (* y (+ (* -1/3 (/ (* x (- (* 1/9 (/ x (pow z 4))) (* -1/9 (/ x (pow z 4))))) (pow z 2))) (* 1/27 (/ (pow x 2) (pow z 6)))))) (* 1/9 (/ x (pow z 4)))) (* -1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (+ (* 1/9 (/ x (pow z 4))) (* y (- (* -1 (* y (+ (* 1/9 (/ (* (pow x 2) (- (* 1/9 (/ x (pow z 4))) (* -1/9 (/ x (pow z 4))))) (pow z 4))) (* 1/3 (/ (* x (+ (* -1/3 (/ (* x (- (* 1/9 (/ x (pow z 4))) (* -1/9 (/ x (pow z 4))))) (pow z 2))) (* 1/27 (/ (pow x 2) (pow z 6))))) (pow z 2)))))) (+ (* -1/3 (/ (* x (- (* 1/9 (/ x (pow z 4))) (* -1/9 (/ x (pow z 4))))) (pow z 2))) (* 1/27 (/ (pow x 2) (pow z 6))))))) (* -1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (- (+ (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) (* -3 (/ (pow z 2) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -1 (/ (+ (* -3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) x)) (* 9 (/ (pow z 4) (pow x 3)))) (pow y 2))) (+ (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x))) (* -3 (/ (pow z 2) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -1 (/ (+ (* 3 (/ (* (pow z 2) (+ (* -3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) x)) (* 9 (/ (pow z 4) (pow x 3))))) x)) (* 9 (/ (* (pow z 4) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) (pow x 2)))) (pow y 3))) (+ (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x))) (+ (* -3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) (* x (pow y 2)))) (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2))))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -9 (/ (pow z 4) (* (pow x 3) y))) (+ (* 3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) (* x y))) (* 3 (/ (pow z 2) (pow x 2))))) (* -3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3 (/ (* (pow z 2) (+ (* -9 (/ (pow z 4) (pow x 3))) (* 3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) x)))) (* x y))) (* 9 (/ (* (pow z 4) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) (* (pow x 2) y)))) (+ (* -9 (/ (pow z 4) (pow x 3))) (* 3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) x)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) (* -3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (/ 1 (* x y))>
#<alt (+ (* 6 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (+ (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 6 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (+ (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 6 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ (- (+ 1/3 (* 1/9 (/ (* x y) (pow z 2)))) (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1/3 (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/27 (* (pow x 2) (pow y 2)))) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (+ (* -1 (/ (+ (* 1/9 (* (pow x 2) (* (pow y 2) (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/3 (* x (* y (+ (* -1/3 (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/27 (* (pow x 2) (pow y 2)))))))) (pow z 6))) (* 1/9 (/ (* x y) (pow z 2))))) (+ (* -1/3 (/ (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y))))) (pow z 4))) (+ (* -1/9 (/ (* x y) (pow z 2))) (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))) (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ (- (+ 1/3 (* 1/9 (/ (* x y) (pow z 2)))) (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1/3 (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/27 (* (pow x 2) (pow y 2)))) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (+ (* -1 (/ (+ (* 1/9 (* (pow x 2) (* (pow y 2) (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/3 (* x (* y (+ (* -1/3 (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/27 (* (pow x 2) (pow y 2)))))))) (pow z 6))) (* 1/9 (/ (* x y) (pow z 2))))) (+ (* -1/3 (/ (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y))))) (pow z 4))) (+ (* -1/9 (/ (* x y) (pow z 2))) (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))) (pow z 2))>
#<alt (* -3 (* x (* y (pow z 2))))>
#<alt (* x (+ (* -3 (* y (pow z 2))) (* x (pow y 2))))>
#<alt (* x (+ (* -3 (* y (pow z 2))) (* x (pow y 2))))>
#<alt (* x (+ (* -3 (* y (pow z 2))) (* x (pow y 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))>
#<alt (* -3 (* x (* y (pow z 2))))>
#<alt (* y (+ (* -3 (* x (pow z 2))) (* (pow x 2) y)))>
#<alt (* y (+ (* -3 (* x (pow z 2))) (* (pow x 2) y)))>
#<alt (* y (+ (* -3 (* x (pow z 2))) (* (pow x 2) y)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (+ (* -3 (* x (* y (pow z 2)))) (* (pow x 2) (pow y 2)))>
#<alt (+ (* -3 (* x (* y (pow z 2)))) (* (pow x 2) (pow y 2)))>
#<alt (+ (* -3 (* x (* y (pow z 2)))) (* (pow x 2) (pow y 2)))>
#<alt (* -3 (* x (* y (pow z 2))))>
#<alt (* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* -3 (* x (* y (pow z 2))))>
#<alt (* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))>

Calls

96 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	(* x (* x (* y y)))
3.0ms	y	@	0	(/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))))
2.0ms	y	@	0	(/ (- (* (* z z) (* (* z z) 9)) (* x (* x (* y y)))) (- (* z (* z 3)) (* x y)))
1.0ms	x	@	0	(/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))))
1.0ms	z	@	0	(/ (- (* (* z z) (* (* z z) 9)) (* x (* x (* y y)))) (- (* z (* z 3)) (* x y)))

rewrite436.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2976×	`/-lowering-/.f32`
2976×	`/-lowering-/.f64`
2836×	`-lowering-.f32`
2836×	`-lowering-.f64`
1492×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	122
1	171	110
2	1955	110
0	8306	110

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 914

Calls

Call 1

Inputs
(+ (* z (* z 3)) (* x y))
(* z (* z 3))
(* z 3)
(* x y)
(* 3 (* z z))
(* z z)
(/ (- (* (* z z) (* (* z z) 9)) (* x (* x (* y y)))) (- (* z (* z 3)) (* x y)))
(- (* (* z z) (* (* z z) 9)) (* x (* x (* y y))))
(* (* z z) (* (* z z) 9))
(* (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))) (/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3)))))))
(+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3)))))
(* x (* y y))
(* x (* x (* y y)))
(/ (+ (* x y) (* z (* z 3))) (+ (* (* z z) (* (* z z) 9)) (* (* x y) (+ (* x y) (* z (* z -3))))))
(* (* x y) (+ (* x y) (* z (* z -3))))

Outputs
(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal 3 binary64))))
(+.f64 (.f64 x y) (neg.f64 (.f64 (*.f64 z z) #s(literal -3 binary64))))
(+.f64 (.f64 x y) (.f64 (neg.f64 z) (*.f64 z #s(literal -3 binary64))))
(+.f64 (.f64 x y) (.f64 (neg.f64 (*.f64 z z)) #s(literal -3 binary64)))
(+.f64 (.f64 x y) (.f64 (neg.f64 (*.f64 z #s(literal -3 binary64))) z))
(+.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (neg.f64 (.f64 z #s(literal -3 binary64))) z) (.f64 (*.f64 z z) #s(literal -3 binary64))))
(+.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 (*.f64 z z) #s(literal -3 binary64))))
(+.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (neg.f64 z) (.f64 z #s(literal -3 binary64))) (.f64 (*.f64 z z) #s(literal -3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y)))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64)))) (.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64))))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))))) (.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))))) (.f64 (.f64 z z) (.f64 (*.f64 z z) #s(literal 9 binary64)))))
(+.f64 (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))))))) (.f64 (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64))))))))
(+.f64 (.f64 (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))))))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64))))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64)))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (/.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 y (.f64 x y)))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 729 binary64))) (+.f64 (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)) (.f64 (.f64 x (.f64 y (.f64 x y))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y))))))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)) (.f64 (.f64 x (.f64 y (.f64 x y))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y))))))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 x y)))) (.f64 (.f64 x y) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 (.f64 x y) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 x y)))) (.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64)))) (.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (+.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (+.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (+.f64 (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (.f64 x y)))))))
(/.f64 (.f64 (.f64 x y) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 x y)))))
(/.f64 (.f64 (.f64 x y) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))))) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 x y)) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 x y)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64)))) (.f64 x y)) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))))) (neg.f64 (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))))) (neg.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (+.f64 (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (.f64 x y))))))))
(/.f64 (neg.f64 (.f64 (.f64 x y) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (neg.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 x y))))))
(/.f64 (neg.f64 (.f64 (.f64 x y) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 x y))) (neg.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 x y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64)))) (.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 27 binary64))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (+.f64 (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64)))) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))) (.f64 (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))))) (pow.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (.f64 x y)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))))) (-.f64 (.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (.f64 x y)))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (.f64 x y))))) (.f64 (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64)))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (*.f64 x y))))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (pow.f64 (neg.f64 (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (.f64 x y)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (neg.f64 (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (.f64 x y)))) (neg.f64 (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (.f64 x y))))) (.f64 (.f64 x (.f64 y (.f64 x y))) (neg.f64 (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z (*.f64 x y))))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (pow.f64 (.f64 (neg.f64 (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 x y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 (neg.f64 (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 x y)) (.f64 (neg.f64 (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 x y))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (neg.f64 (.f64 z (.f64 z #s(literal 3 binary64)))) (*.f64 x y))))))
(.f64 x (.f64 y (+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64)))))
(.f64 y (.f64 x (+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64)))))
(.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64))))
(.f64 (.f64 y (+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64)))) x)
(.f64 (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal -3 binary64))) (*.f64 x y))
(.f64 (.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal -3 binary64))) x) y)

simplify423.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

4394×	`-lowering-.f32`
4394×	`-lowering-.f64`
1884×	`+-lowering-+.f64`
1884×	`+-lowering-+.f32`
1792×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	4761
1	1484	3913
2	5581	3780
0	8013	3780

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* (pow x 2) (pow y 2)))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(* 9 (pow z 4))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* 9 (pow z 4))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* 9 (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* 9 (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* (pow x 2) (pow y 2))
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(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x (.f64 x y))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 #s(literal -3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 z z) #s(literal 6 binary64)) (.f64 x x)) (/.f64 (.f64 z z) x)) (.f64 y y)) (/.f64 (/.f64 (/.f64 (.f64 z z) x) x) y))))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (+.f64 (.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) (.f64 (/.f64 (/.f64 (.f64 z z) x) x) (/.f64 #s(literal 6 binary64) x))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 x (.f64 x x))))) x) (/.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 (.f64 z z) #s(literal 6 binary64)) (.f64 x x))) (.f64 x x))) (.f64 y (.f64 y y)))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (* -1 (/ (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (/.f64 (/.f64 (.f64 z z) x) x) (/.f64 #s(literal 6 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -9 (/ (pow z 4) (* (pow x 3) y))) (+ (* 3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) (* x y))) (* 3 (/ (pow z 2) (pow x 2))))) (* -3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -9 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (.f64 x (.f64 x x))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) x) (.f64 (/.f64 (/.f64 (.f64 z z) x) x) (/.f64 #s(literal 6 binary64) y))) (/.f64 (.f64 (.f64 z z) #s(literal 6 binary64)) (*.f64 x x)))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3 (/ (* (pow z 2) (+ (* -9 (/ (pow z 4) (pow x 3))) (* 3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) x)))) (* x y))) (* 9 (/ (* (pow z 4) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) (* (pow x 2) y)))) (+ (* -9 (/ (pow z 4) (pow x 3))) (* 3 (/ (* (pow z 2) (- (* 3 (/ (pow z 2) (pow x 2))) (* -3 (/ (pow z 2) (pow x 2))))) x)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) (* -3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (.f64 (.f64 z z) #s(literal 6 binary64)) (.f64 x x)) (/.f64 (+.f64 (.f64 #s(literal -3 binary64) (.f64 (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) x) (.f64 x x)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 (/.f64 (/.f64 (.f64 z z) x) x) (/.f64 #s(literal 6 binary64) x)))) (/.f64 (.f64 z z) (.f64 x y)))) (-.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 (.f64 z z) #s(literal 6 binary64)) (.f64 x x))) (.f64 x (.f64 x y))) (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) x) (.f64 x x)) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 (/.f64 (/.f64 (.f64 z z) x) x) (/.f64 #s(literal 6 binary64) x)))))) y)) y)) (-.f64 #s(literal 0 binary64) y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* 6 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 (/.f64 (.f64 (.f64 z z) #s(literal 6 binary64)) (.f64 x x)) (*.f64 y y)))
(+ (* (pow z 2) (+ (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 6 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 (.f64 z z) (+.f64 (/.f64 (.f64 #s(literal 9 binary64) (/.f64 (/.f64 (/.f64 (.f64 z z) x) x) x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 y y)))))))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 6 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 z (.f64 z (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z z) (+.f64 (/.f64 (.f64 #s(literal -27 binary64) (.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 9 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))))))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ (- (+ 1/3 (* 1/9 (/ (* x y) (pow z 2)))) (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 2/9 binary64))) (.f64 z z))
(/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1/3 (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/27 (* (pow x 2) (pow y 2)))) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) #s(literal 2/9 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 1/27 binary64))) (pow.f64 z #s(literal 4 binary64)))) (.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 2/9 binary64))) (*.f64 z z))
(/ (- (+ 1/3 (+ (* -1 (/ (+ (* 1/9 (* (pow x 2) (* (pow y 2) (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/3 (* x (* y (+ (* -1/3 (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/27 (* (pow x 2) (pow y 2)))))))) (pow z 6))) (* 1/9 (/ (* x y) (pow z 2))))) (+ (* -1/3 (/ (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y))))) (pow z 4))) (+ (* -1/9 (/ (* x y) (pow z 2))) (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 x (.f64 y #s(literal 1/9 binary64))) (.f64 z z)) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 (.f64 x y) #s(literal 2/9 binary64)) #s(literal 1/9 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x y)) (+.f64 (.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) #s(literal 2/9 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 1/27 binary64))))) (pow.f64 z #s(literal 6 binary64)))) (-.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 1/27 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 y #s(literal -1/9 binary64))) (.f64 z z)) (.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 2/9 binary64)) (/.f64 #s(literal -1/3 binary64) (pow.f64 z #s(literal 4 binary64)))))))) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ (- (+ 1/3 (* 1/9 (/ (* x y) (pow z 2)))) (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 2/9 binary64))) (.f64 z z))
(/ (- (+ 1/3 (+ (* -1 (/ (+ (* -1/3 (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/27 (* (pow x 2) (pow y 2)))) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) #s(literal 2/9 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 1/27 binary64))) (pow.f64 z #s(literal 4 binary64)))) (.f64 (/.f64 (.f64 x y) (.f64 z z)) #s(literal 2/9 binary64))) (*.f64 z z))
(/ (- (+ 1/3 (+ (* -1 (/ (+ (* 1/9 (* (pow x 2) (* (pow y 2) (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/3 (* x (* y (+ (* -1/3 (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y)))))) (* 1/27 (* (pow x 2) (pow y 2)))))))) (pow z 6))) (* 1/9 (/ (* x y) (pow z 2))))) (+ (* -1/3 (/ (* x (* y (- (* 1/9 (* x y)) (* -1/9 (* x y))))) (pow z 4))) (+ (* -1/9 (/ (* x y) (pow z 2))) (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 x (.f64 y #s(literal 1/9 binary64))) (.f64 z z)) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 (.f64 x y) #s(literal 2/9 binary64)) #s(literal 1/9 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x y)) (+.f64 (.f64 (.f64 x y) (.f64 (.f64 (.f64 x y) #s(literal 2/9 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 1/27 binary64))))) (pow.f64 z #s(literal 6 binary64)))) (-.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 1/27 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 y #s(literal -1/9 binary64))) (.f64 z z)) (.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal 2/9 binary64)) (/.f64 #s(literal -1/3 binary64) (pow.f64 z #s(literal 4 binary64)))))))) (*.f64 z z))
(* -3 (* x (* y (pow z 2))))
(.f64 x (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))))
(* x (+ (* -3 (* y (pow z 2))) (* x (pow y 2))))
(.f64 x (+.f64 (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 x (.f64 y y))))
(* x (+ (* -3 (* y (pow z 2))) (* x (pow y 2))))
(.f64 x (+.f64 (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 x (.f64 y y))))
(* x (+ (* -3 (* y (pow z 2))) (* x (pow y 2))))
(.f64 x (+.f64 (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 x (.f64 y y))))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))
(.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 y (/.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) x))))
(* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))
(.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 y (/.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) x))))
(* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))
(.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 y (/.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) x))))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))
(.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 y (/.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) x))))
(* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))
(.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 y (/.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) x))))
(* (pow x 2) (+ (* -3 (/ (* y (pow z 2)) x)) (pow y 2)))
(.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 y (/.f64 (.f64 (.f64 z z) #s(literal -3 binary64)) x))))
(* -3 (* x (* y (pow z 2))))
(.f64 x (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))))
(* y (+ (* -3 (* x (pow z 2))) (* (pow x 2) y)))
(.f64 x (+.f64 (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 x (.f64 y y))))
(* y (+ (* -3 (* x (pow z 2))) (* (pow x 2) y)))
(.f64 x (+.f64 (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 x (.f64 y y))))
(* y (+ (* -3 (* x (pow z 2))) (* (pow x 2) y)))
(.f64 x (+.f64 (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 x (.f64 y y))))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))
(.f64 (.f64 y y) (+.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (.f64 z z) #s(literal -3 binary64))) y)))
(* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))
(.f64 (.f64 y y) (+.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (.f64 z z) #s(literal -3 binary64))) y)))
(* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))
(.f64 (.f64 y y) (+.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (.f64 z z) #s(literal -3 binary64))) y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))
(.f64 (.f64 y y) (+.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (.f64 z z) #s(literal -3 binary64))) y)))
(* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))
(.f64 (.f64 y y) (+.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (.f64 z z) #s(literal -3 binary64))) y)))
(* (pow y 2) (+ (* -3 (/ (* x (pow z 2)) y)) (pow x 2)))
(.f64 (.f64 y y) (+.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (.f64 z z) #s(literal -3 binary64))) y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(+ (* -3 (* x (* y (pow z 2)))) (* (pow x 2) (pow y 2)))
(.f64 x (+.f64 (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 x (.f64 y y))))
(+ (* -3 (* x (* y (pow z 2)))) (* (pow x 2) (pow y 2)))
(.f64 x (+.f64 (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 x (.f64 y y))))
(+ (* -3 (* x (* y (pow z 2)))) (* (pow x 2) (pow y 2)))
(.f64 x (+.f64 (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))) (.f64 x (.f64 y y))))
(* -3 (* x (* y (pow z 2))))
(.f64 x (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))))
(* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))
(.f64 (.f64 z z) (+.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z z))))
(* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))
(.f64 (.f64 z z) (+.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z z))))
(* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))
(.f64 (.f64 z z) (+.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z z))))
(* -3 (* x (* y (pow z 2))))
(.f64 x (.f64 y (.f64 (.f64 z z) #s(literal -3 binary64))))
(* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))
(.f64 (.f64 z z) (+.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z z))))
(* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))
(.f64 (.f64 z z) (+.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z z))))
(* (pow z 2) (+ (* -3 (* x y)) (/ (* (pow x 2) (pow y 2)) (pow z 2))))
(.f64 (.f64 z z) (+.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z z))))

eval303.0ms (4.2%)

Compiler: Compiled 121508 to 2577 computations (97.9% saved)

prune190.0ms (2.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1910	2	1912
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1911	7	1918

Accuracy

100.0%

Counts

1918 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.2%	(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))
✓	97.9%	(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
✓	98.0%	(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
▶	53.8%	(.f64 (.f64 z #s(literal 3 binary64)) z)
▶	91.5%	(.f64 x (+.f64 y (/.f64 (.f64 #s(literal 3 binary64) (*.f64 z z)) x)))
✓	51.6%	(*.f64 x y)
✓	53.8%	(.f64 #s(literal 3 binary64) (.f64 z z))

Compiler

Compiled 90 to 58 computations (35.6% saved)

simplify257.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) x)
✓	cost-diff	0	(+.f64 y (/.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) x))
✓	cost-diff	128	(.f64 x (+.f64 y (/.f64 (.f64 #s(literal 3 binary64) (*.f64 z z)) x)))

Rules

5590×	`-lowering-.f32`
5590×	`-lowering-.f64`
1872×	`/-lowering-/.f32`
1872×	`/-lowering-/.f64`
1556×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	27	41
2	49	41
3	103	39
4	190	39
5	340	39
6	709	39
7	2361	39
8	3668	39
9	3812	39
10	3901	39
11	4013	39
12	4160	39
13	4336	39
14	5713	39
15	6413	39
16	7580	39
0	8041	39

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ y (/ (* 3 (* z z)) x)))
x
(+ y (/ (* 3 (* z z)) x))
y
(/ (* 3 (* z z)) x)
(* 3 (* z z))
3
(* z z)
z
(* (* z 3) z)
(* z 3)
z
3

Outputs
(* x (+ y (/ (* 3 (* z z)) x)))
(+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))
x
(+ y (/ (* 3 (* z z)) x))
(+.f64 y (/.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) x))
y
(/ (* 3 (* z z)) x)
(/.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) x)
(* 3 (* z z))
(.f64 #s(literal 3 binary64) (.f64 z z))
3
#s(literal 3 binary64)
(* z z)
(*.f64 z z)
z
(* (* z 3) z)
(.f64 #s(literal 3 binary64) (.f64 z z))
(* z 3)
(*.f64 #s(literal 3 binary64) z)
z
3
#s(literal 3 binary64)

localize53.0ms (0.7%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	accuracy	100.0%	(+.f64 y (/.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) x))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	accuracy	91.9%	(.f64 x (+.f64 y (/.f64 (.f64 #s(literal 3 binary64) (*.f64 z z)) x)))
✓	accuracy	86.2%	(/.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) x)

Results

32.0ms

256×

valid

Compiler

Compiled 53 to 12 computations (77.4% saved)

Precisions

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

ival-mult: 9.0ms (71.6% of total)

ival-div: 2.0ms (15.9% of total)

ival-add: 1.0ms (8% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

6 → 132

Calls

Call 1

Inputs
#<alt (* x (+ y (/ (* 3 (* z z)) x)))>
#<alt (+ y (/ (* 3 (* z z)) x))>
#<alt (/ (* 3 (* z z)) x)>
#<alt (* 3 (* z z))>
#<alt (* (* z 3) z)>
#<alt (* z 3)>

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (+ y (/ (* 3 (* z z)) x)))
1.0ms	x	@	inf	(* x (+ y (/ (* 3 (* z z)) x)))
0.0ms	z	@	inf	(* x (+ y (/ (* 3 (* z z)) x)))
0.0ms	y	@	0	(* x (+ y (/ (* 3 (* z z)) x)))
0.0ms	z	@	0	(* x (+ y (/ (* 3 (* z z)) x)))

rewrite257.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3726×	`-lowering-.f32`
3726×	`-lowering-.f64`
2258×	`/-lowering-/.f32`
2258×	`/-lowering-/.f64`
1428×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	49	33
2	398	31
3	6478	31
0	8321	31

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 308

Calls

Call 1

Inputs
(* x (+ y (/ (* 3 (* z z)) x)))
(+ y (/ (* 3 (* z z)) x))
(/ (* 3 (* z z)) x)
(* 3 (* z z))
(* (* z 3) z)
(* z 3)

Outputs
(+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 x y))
(+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))
(-.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64))))
(-.f64 (.f64 x y) (.f64 (/.f64 (.f64 z (.f64 z #s(literal -3 binary64))) x) x))
(-.f64 (.f64 x y) (.f64 x (/.f64 (.f64 z (.f64 z #s(literal -3 binary64))) x)))
(-.f64 (.f64 x y) (/.f64 (.f64 x (.f64 z (.f64 z #s(literal -3 binary64)))) x))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z))) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64))))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 x (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) (.f64 x y))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 z z) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) x (.f64 x y))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 z z) x) (*.f64 x y))
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) x) (.f64 x y))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 3 binary64) (/.f64 x (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x y)))) (+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (.f64 z z))))) (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (/.f64 (.f64 z z) x) (/.f64 (/.f64 (.f64 z z) x) (/.f64 x (.f64 z z)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (.f64 z (.f64 z #s(literal -3 binary64))) x)) (.f64 (+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x y)) (+.f64 y (/.f64 (.f64 z (.f64 z #s(literal -3 binary64))) x)))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 x y)))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (+.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z))) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 #s(literal 3 binary64) (*.f64 z z)))))))
(/.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z)))) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))
(/.f64 (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (/.f64 (.f64 z z) x) (/.f64 (/.f64 (.f64 z z) x) (/.f64 x (.f64 z z))))))) (+.f64 (.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (.f64 z z))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x y)) (+.f64 y (/.f64 (.f64 z (.f64 z #s(literal -3 binary64))) x))) (+.f64 y (/.f64 (.f64 z (.f64 z #s(literal -3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z))))) (neg.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (/.f64 (.f64 z z) x) (/.f64 (/.f64 (.f64 z z) x) (/.f64 x (.f64 z z)))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (.f64 z z)))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x y)) (+.f64 y (/.f64 (.f64 z (.f64 z #s(literal -3 binary64))) x)))) (+.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 3 binary64) (/.f64 x (*.f64 z z)))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x y)))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (/.f64 (.f64 z z) x) (/.f64 (/.f64 (.f64 z z) x) (/.f64 x (.f64 z z)))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (.f64 z z)))))))
(/.f64 (.f64 x (+.f64 (neg.f64 (.f64 y y)) (.f64 (.f64 #s(literal 9 binary64) (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)))) (+.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 3 binary64) (/.f64 x (*.f64 z z)))))
(/.f64 (.f64 x (-.f64 (.f64 (.f64 #s(literal 9 binary64) (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) (.f64 y y))) (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (*.f64 z z))) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (/.f64 (.f64 z z) x) (/.f64 (/.f64 (.f64 z z) x) (/.f64 x (.f64 z z))))))) x) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (.f64 z z)))))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 y y)) (.f64 (.f64 #s(literal 9 binary64) (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) x) (+.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 3 binary64) (/.f64 x (*.f64 z z)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) (.f64 y y)) x) (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (*.f64 z z))) y))
(.f64 x (+.f64 y (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z)))))
(.f64 (+.f64 y (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z)))) x)
(.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (/.f64 (.f64 z z) x) (/.f64 (/.f64 (.f64 z z) x) (/.f64 x (.f64 z z)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (*.f64 z z)))))) x))
(.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (/.f64 (.f64 z z) x) (/.f64 (/.f64 (.f64 z z) x) (/.f64 x (.f64 z z)))))) (/.f64 x (+.f64 (.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (.f64 z z)))))))
(.f64 (-.f64 (.f64 y y) (.f64 (.f64 #s(literal 9 binary64) (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal -3 binary64))) x))) x))
(.f64 (-.f64 (.f64 y y) (.f64 (.f64 #s(literal 9 binary64) (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) (/.f64 x (+.f64 y (/.f64 (.f64 z (.f64 z #s(literal -3 binary64))) x))))
(.f64 (+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x y))))))
(.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 #s(literal 9 binary64) (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 z (*.f64 z #s(literal -3 binary64))))))
(.f64 (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (/.f64 (.f64 z z) x) (/.f64 (/.f64 (.f64 z z) x) (/.f64 x (.f64 z z))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (*.f64 z z)))))))
(.f64 (.f64 (+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 x y)) (+.f64 y (/.f64 (.f64 z (.f64 z #s(literal -3 binary64))) x))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (.f64 z (*.f64 z #s(literal -3 binary64))) x))))
(.f64 (/.f64 (.f64 x (+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 27 binary64) (.f64 (/.f64 (.f64 z z) x) (/.f64 (/.f64 (.f64 z z) x) (/.f64 x (.f64 z z))))))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (.f64 z z)))) (.f64 (.f64 (.f64 #s(literal 9 binary64) (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)) (.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y)))))) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (.f64 z z)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (.f64 z z))) y) (/.f64 x (.f64 #s(literal 3 binary64) (.f64 z z)))) (*.f64 y y)))))
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(.f64 (.f64 z (*.f64 z #s(literal -3 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 z z)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal 3 binary64) (.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1/3 binary64) (.f64 z z))))
(.f64 (/.f64 (.f64 z z) x) (*.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z (*.f64 z #s(literal -3 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (.f64 z z)))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 z #s(literal -3 binary64)))
(.f64 (.f64 z #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) z))
(.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 z z) x))
(.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (*.f64 z z) #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 (.f64 x (.f64 z (.f64 z #s(literal -3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 3 binary64))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 z z))) #s(literal 3 binary64))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 z (*.f64 z #s(literal -3 binary64))) x))
(.f64 (/.f64 (.f64 z (*.f64 z #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (.f64 #s(literal 3 binary64) z))
(.f64 (neg.f64 (.f64 z #s(literal -3 binary64))) z)
(.f64 (.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 3 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) z)) z)
(.f64 (.f64 x z) (/.f64 (*.f64 #s(literal 3 binary64) z) x))
(.f64 (.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x))
(.f64 (.f64 x (*.f64 #s(literal 3 binary64) z)) (/.f64 z x))
(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 z x))
(.f64 (.f64 (.f64 x (.f64 #s(literal 3 binary64) (*.f64 z z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 z (*.f64 z #s(literal -3 binary64))))
(.f64 (/.f64 x (/.f64 x #s(literal 3 binary64))) (.f64 z z))
(.f64 (/.f64 x (/.f64 x z)) (.f64 #s(literal 3 binary64) z))
(.f64 (/.f64 x (/.f64 x (.f64 #s(literal 3 binary64) z))) z)
(*.f64 #s(literal 3 binary64) z)
(*.f64 z #s(literal 3 binary64))

simplify180.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3468×	`-lowering-.f32`
3468×	`-lowering-.f64`
1432×	`fnmadd-define`
1378×	`fma-lowering-fma.f32`
1378×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	854
1	149	720
2	445	720
3	1543	720
4	4025	720
0	8442	720

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval65.0ms (0.9%)

Compiler: Compiled 8510 to 886 computations (89.6% saved)

prune60.0ms (0.8%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	437	3	440
Fresh	0	0	0
Picked	1	1	2
Done	1	4	5
Total	439	8	447

Accuracy

100.0%

Counts

447 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (*.f64 z z))) x)
✓	97.9%	(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
✓	98.0%	(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
▶	49.8%	(.f64 (/.f64 x (/.f64 x (.f64 #s(literal 3 binary64) z))) z)
✓	53.8%	(.f64 (.f64 z #s(literal 3 binary64)) z)
▶	49.5%	(.f64 (.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x))
✓	51.6%	(*.f64 x y)
✓	53.8%	(.f64 #s(literal 3 binary64) (.f64 z z))

Compiler

Compiled 82 to 56 computations (31.7% saved)

simplify224.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 z z)))
✓	cost-diff	256	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (*.f64 z z))) x)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) z)
✓	cost-diff	0	(/.f64 x (*.f64 #s(literal 3 binary64) z))
✓	cost-diff	256	(/.f64 x (/.f64 x (*.f64 #s(literal 3 binary64) z)))
✓	cost-diff	256	(.f64 (/.f64 x (/.f64 x (.f64 #s(literal 3 binary64) z))) z)
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 x (.f64 z z))
✓	cost-diff	256	(.f64 (.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x))

Rules

4816×	`-lowering-.f32`
4816×	`-lowering-.f64`
3300×	`/-lowering-/.f32`
3300×	`/-lowering-/.f64`
2982×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	37	61
2	90	53
3	239	53
4	699	53
5	1846	53
6	2098	53
7	2131	53
8	2148	53
9	2152	53
10	2153	53
11	2153	53
12	6327	53
13	6531	53
14	6721	53
15	6945	53
16	7267	53
17	7726	53
0	8113	53

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* x (* z z)) (/ 3 x))
(* x (* z z))
x
(* z z)
z
(/ 3 x)
3
(* (/ x (/ x (* 3 z))) z)
(/ x (/ x (* 3 z)))
x
(/ x (* 3 z))
(* 3 z)
3
z
(/ (* x (* 3 (* z z))) x)
(* x (* 3 (* z z)))
x
(* 3 (* z z))
3
(* z z)
z

Outputs
(* (* x (* z z)) (/ 3 x))
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(* x (* z z))
(.f64 x (.f64 z z))
x
(* z z)
(*.f64 z z)
z
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
(* (/ x (/ x (* 3 z))) z)
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(/ x (/ x (* 3 z)))
(/.f64 z #s(literal 1/3 binary64))
x
(/ x (* 3 z))
(/.f64 x (/.f64 z #s(literal 1/3 binary64)))
(* 3 z)
(/.f64 z #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
z
(/ (* x (* 3 (* z z))) x)
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(* x (* 3 (* z z)))
(/.f64 z (/.f64 #s(literal 1/3 binary64) (*.f64 x z)))
x
(* 3 (* z z))
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
3
#s(literal 3 binary64)
(* z z)
(*.f64 z z)
z

localize230.0ms (3.2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 z z))
✓	accuracy	90.5%	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 z z)))
✓	accuracy	90.4%	(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (*.f64 z z))) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) z)
✓	accuracy	99.9%	(.f64 (/.f64 x (/.f64 x (.f64 #s(literal 3 binary64) z))) z)
✓	accuracy	99.9%	(/.f64 x (*.f64 #s(literal 3 binary64) z))
✓	accuracy	84.0%	(/.f64 x (/.f64 x (*.f64 #s(literal 3 binary64) z)))
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	90.5%	(.f64 x (.f64 z z))
✓	accuracy	90.0%	(.f64 (.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x))

Results

150.0ms	84×	5	exit
55.0ms	172×	0	valid

Compiler

Compiled 81 to 16 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-div: 30.0ms (43.5% of total)

ival-mult: 29.0ms (42.1% of total)

backward-pass: 9.0ms (13.1% of total)

const: 1.0ms (1.5% of total)

series7.0ms (0.1%)

Counts

11 → 216

Calls

Call 1

Inputs
#<alt (* (* x (* z z)) (/ 3 x))>
#<alt (* x (* z z))>
#<alt (* z z)>
#<alt (/ 3 x)>
#<alt (* (/ x (/ x (* 3 z))) z)>
#<alt (/ x (/ x (* 3 z)))>
#<alt (/ x (* 3 z))>
#<alt (* 3 z)>
#<alt (/ (* x (* 3 (* z z))) x)>
#<alt (* x (* 3 (* z z)))>
#<alt (* 3 (* z z))>

Outputs
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (/ 3 x)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 1/3 (/ x z))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (* x (pow z 2)))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ x (* 3 z))
1.0ms	x	@	inf	(/ x (* 3 z))
0.0ms	z	@	0	(/ x (* 3 z))
0.0ms	z	@	inf	(/ x (* 3 z))
0.0ms	x	@	-inf	(/ x (* 3 z))

rewrite278.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3440×	`-lowering-.f32`
3440×	`-lowering-.f64`
2896×	`/-lowering-/.f32`
2896×	`/-lowering-/.f64`
1420×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	64	42
2	348	42
3	2544	42
0	8534	42

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1049

Calls

Call 1

Inputs
(* (* x (* z z)) (/ 3 x))
(* x (* z z))
(* z z)
(/ 3 x)
(* (/ x (/ x (* 3 z))) z)
(/ x (/ x (* 3 z)))
(/ x (* 3 z))
(* 3 z)
(/ (* x (* 3 (* z z))) x)
(* x (* 3 (* z z)))
(* 3 (* z z))

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

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

74×	`-lowering-.f32`
74×	`-lowering-.f64`
26×	`*-commutative`
22×	`associate-r`
18×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	1008
1	23	864
2	39	864
3	57	864
4	58	864
0	58	864

Stop Event

1×	iter limit
1×	saturated

Counts

216 → 216

Calls

Call 1

Inputs
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(/ 3 x)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 1/3 (/ x z))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (* x (pow z 2)))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))

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

eval229.0ms (3.2%)

Compiler: Compiled 16117 to 2287 computations (85.8% saved)

prune537.0ms (7.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1312	2	1314
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	1314	8	1322

Accuracy

100.0%

Counts

1322 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (/.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
✓	97.9%	(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
✓	98.0%	(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
	53.8%	(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
✓	53.8%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	49.5%	(.f64 (.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x))
✓	51.6%	(*.f64 x y)
✓	53.8%	(.f64 #s(literal 3 binary64) (.f64 z z))

Compiler

Compiled 259 to 106 computations (59.1% saved)

regimes32.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
(/.f64 (/.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x))
(.f64 (/.f64 x (/.f64 x (.f64 #s(literal 3 binary64) z))) z)
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 x y))
(/.f64 (.f64 x (.f64 #s(literal 3 binary64) (*.f64 z z))) x)
(.f64 x (+.f64 y (/.f64 (.f64 #s(literal 3 binary64) (*.f64 z z)) x)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 x y)))
(.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64)))))) (/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64))) (.f64 (.f64 x y) (+.f64 (.f64 x y) (.f64 z (.f64 z #s(literal -3 binary64))))))))

Outputs
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x))

Calls

6 calls:

7.0ms	(*.f64 x y)
6.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
99.5%	2	`x`
98.0%	1	`y`
99.5%	2	`z`
99.5%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.5%	2	`(*.f64 x y)`
99.5%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes16.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
(/.f64 (/.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x))
(.f64 (/.f64 x (/.f64 x (.f64 #s(literal 3 binary64) z))) z)

Outputs
(*.f64 x y)
(.f64 #s(literal 3 binary64) (.f64 z z))

Calls

5 calls:

4.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(*.f64 x y)
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
75.1%	5	`y`
69.7%	3	`x`
86.7%	2	`z`
74.0%	3	`(*.f64 x y)`
86.7%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

4 calls:

1.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
51.6%	1	`x`
51.6%	1	`y`
51.6%	1	`(*.f64 x y)`
51.6%	1	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7146590654776783e+285	1.9387868322825477e+287

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.254817113300474e-22	8.461314953122538e-13

Compiler

Compiled 20 to 13 computations (35% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	23	41

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 z z) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64))) (*.f64 (*.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x)))

(if (<=.f64 (*.f64 z z) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))

(*.f64 x y)

Outputs
(if (<=.f64 (.f64 z z) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) x)))
(if (<=.f64 (.f64 z z) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (+.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 (*.f64 z z) x) (/.f64 #s(literal 3 binary64) x)))
(if (<=.f64 (.f64 z z) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) (.f64 x y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(*.f64 x y)

soundness1.3s (17.6%)

Rules

3726×	`-lowering-.f32`
3726×	`-lowering-.f64`
2976×	`/-lowering-/.f32`
2976×	`/-lowering-/.f64`
2836×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	122
1	171	110
2	1955	110
0	8306	110
0	32	419
1	97	364
2	306	364
3	850	364
4	2398	364
5	7182	364
0	8523	364
0	8	10
1	19	10
2	43	7
3	72	7
4	93	7
5	99	7
0	99	7
0	11	35
1	49	33
2	398	31
3	6478	31
0	8321	31

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 152 to 91 computations (40.1% saved)

preprocess45.0ms (0.6%)

Remove: (abs z)
Compiler: Compiled 310 to 150 computations (51.6% saved)

analyze0.0ms (0%)

sample853.0ms (11.8%)

preprocess68.0ms (0.9%)

explain80.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize28.0ms (0.4%)

series6.0ms (0.1%)

rewrite237.0ms (3.3%)

simplify164.0ms (2.3%)

eval20.0ms (0.3%)

prune19.0ms (0.3%)

simplify321.0ms (4.5%)

localize194.0ms (2.7%)

series62.0ms (0.9%)

rewrite436.0ms (6.1%)

simplify423.0ms (5.9%)

eval303.0ms (4.2%)

prune190.0ms (2.6%)

simplify257.0ms (3.6%)

localize53.0ms (0.7%)

series7.0ms (0.1%)

rewrite257.0ms (3.6%)

simplify180.0ms (2.5%)

eval65.0ms (0.9%)

prune60.0ms (0.8%)

simplify224.0ms (3.1%)

localize230.0ms (3.2%)

series7.0ms (0.1%)

rewrite278.0ms (3.9%)

simplify29.0ms (0.4%)

eval229.0ms (3.2%)

prune537.0ms (7.5%)

regimes32.0ms (0.4%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.3s (17.6%)

preprocess45.0ms (0.6%)

end0.0ms (0%)

Profiling