Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

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 9 to 9 computations (0% saved)

sample921.0ms (12%)

Memory

3.4MiB live, 973.4MiB allocated

Samples

750.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-mult: 114.0ms (64.4% of total)

ival-sub: 50.0ms (28.2% of total)

ival-true: 5.0ms (2.8% of total)

exact: 4.0ms (2.3% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

preprocess49.0ms (0.6%)

Memory

-16.5MiB live, 65.8MiB allocated

Algorithm

2×	egg-herbie

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
224×	`-lowering-.f32`
224×	`-lowering-.f64`
174×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	76
1	70	70
2	166	70
3	408	70
4	780	70
5	978	70
6	1036	70
7	1036	70
0	7	7
1	13	7
2	25	7
3	33	7
4	60	7
5	103	7
6	187	7
7	306	7
8	398	7
9	423	7
10	431	7
0	431	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(- (* (* x 3) y) z)
(- (* (* (neg x) 3) y) z)
(- (* (* x 3) (neg y)) z)
(- (* (* x 3) y) (neg z))
(neg (- (* (* (neg x) 3) y) z))
(neg (- (* (* x 3) (neg y)) z))
(neg (- (* (* x 3) y) (neg z)))
(- (* (* y 3) x) z)
(- (* (* z 3) y) x)
(- (* (* x 3) z) y)

Outputs
(- (* (* x 3) y) z)
(- (* x (* 3 y)) z)
(- (* (* (neg x) 3) y) z)
(- (* x (* y -3)) z)
(- (* (* x 3) (neg y)) z)
(- (* x (* y -3)) z)
(- (* (* x 3) y) (neg z))
(+ (* x (* 3 y)) z)
(neg (- (* (* (neg x) 3) y) z))
(+ (* x (* 3 y)) z)
(neg (- (* (* x 3) (neg y)) z))
(+ (* x (* 3 y)) z)
(neg (- (* (* x 3) y) (neg z)))
(- (* x (* y -3)) z)
(- (* (* y 3) x) z)
(- (* x (* 3 y)) z)
(- (* (* z 3) y) x)
(- (* 3 (* y z)) x)
(- (* (* x 3) z) y)
(- (* 3 (* x z)) y)

Symmetry

(sort x y)

explain73.0ms (1%)

Memory

-4.0MiB live, 119.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-mult: 6.0ms (63.5% of total)

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify19.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

304×	`accelerator-lowering-fma.f32`
304×	`accelerator-lowering-fma.f64`
224×	`-lowering-.f32`
224×	`-lowering-.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	25	19
3	33	19
4	60	19
5	103	19
6	187	19
7	306	19
8	398	19
9	423	19
10	431	19
0	431	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize24.0ms (0.3%)

Memory

-6.6MiB live, 30.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)

Samples

16.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (63% of total)

ival-sub: 1.0ms (21% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite492.0ms (6.4%)

Memory

-5.8MiB live, 732.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 252×	`accelerator-lowering-fma.f32`
11 252×	`accelerator-lowering-fma.f64`
4 368×	`-lowering-.f32`
4 368×	`-lowering-.f64`
3 686×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	25	15
2	181	15
3	1870	15
0	8358	15

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 254

Calls

Call 1

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

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

simplify181.0ms (2.4%)

Memory

14.9MiB live, 245.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 582×	`accelerator-lowering-fma.f32`
3 582×	`accelerator-lowering-fma.f64`
2 750×	`-lowering-.f32`
2 750×	`-lowering-.f64`
1 560×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	378
1	118	378
2	331	378
3	833	378
4	2352	378
5	4041	378
6	5990	378
7	7425	378
8	7937	378
0	8002	378

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval64.0ms (0.8%)

Memory: -2.8MiB live, 74.8MiB allocated
Compiler: Compiled 17 544 to 700 computations (96% saved)

prune67.0ms (0.9%)

Memory

28.2MiB live, 67.1MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	321	5	326
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	321	6	327

Accuracy

100.0%

Counts

327 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.3%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z (+.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) z))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)))
▶	99.8%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	51.7%	(-.f64 #s(literal 0 binary64) z)
▶	49.8%	(.f64 x (.f64 #s(literal 3 binary64) y))

Compiler

Compiled 170 to 111 computations (34.7% saved)

simplify724.0ms (9.4%)

Memory

-7.7MiB live, 906.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z (+.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) z))))
✓	cost-diff	128	(+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z (+.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) z)))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	0	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)

Rules

26 570×	`accelerator-lowering-fma.f32`
26 570×	`accelerator-lowering-fma.f64`
3 926×	`-lowering-.f32`
3 926×	`-lowering-.f64`
2 136×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	218
1	79	218
2	194	218
3	462	214
4	703	214
5	868	208
6	1037	208
7	1179	208
8	1983	208
9	3359	208
10	4870	208
11	5664	208
12	7295	208
0	8206	199

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (* x y) 3) z)
(* (* x y) 3)
(* x y)
x
y
3
z
(- 0 z)
0
z
(* x (* 3 y))
x
(* 3 y)
3
y
(/ 1 (/ 1 (- (* (* x 3) y) z)))
1
(/ 1 (- (* (* x 3) y) z))
(- (* (* x 3) y) z)
(* (* x 3) y)
(* x 3)
x
3
y
z
(/ (+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z))) (+ (* y (* y (* (* x x) 9))) (* z (+ (* (* x 3) y) z))))
(+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z)))
(* (* (* x (* x x)) 27) (* y (* y y)))
(* (* x (* x x)) 27)
(* x (* x x))
x
(* x x)
27
(* y (* y y))
y
(* y y)
(* z (* z z))
z
(* z z)
(+ (* y (* y (* (* x x) 9))) (* z (+ (* (* x 3) y) z)))
(* y (* y (* (* x x) 9)))
(* y (* (* x x) 9))
(* (* x x) 9)
9
(* z (+ (* (* x 3) y) z))
(+ (* (* x 3) y) z)
(* (* x 3) y)
(* x 3)
3

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

localize110.0ms (1.4%)

Memory

-8.5MiB live, 223.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.2%	(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))
✓	accuracy	88.3%	(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
✓	accuracy	77.2%	(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)))
✓	accuracy	36.3%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (+.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z (+.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) z))))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	accuracy	99.7%	(.f64 (.f64 x y) #s(literal 3 binary64))

Samples

62.0ms

256×

valid

Compiler

Compiled 249 to 37 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 31.0ms (72.9% of total)

ival-div: 4.0ms (9.4% of total)

ival-sub: 3.0ms (7.1% of total)

ival-add: 3.0ms (7.1% of total)

exact: 1.0ms (2.4% of total)

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

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

series31.0ms (0.4%)

Memory

19.1MiB live, 57.5MiB allocated

Counts

15 → 420

Calls

Call 1

Inputs
#<alt (- (* (* x y) 3) z)>
#<alt (* (* x y) 3)>
#<alt (* x y)>
#<alt (- 0 z)>
#<alt (* x (* 3 y))>
#<alt (* 3 y)>
#<alt (/ 1 (/ 1 (- (* (* x 3) y) z)))>
#<alt (/ 1 (- (* (* x 3) y) z))>
#<alt (- (* (* x 3) y) z)>
#<alt (* (* x 3) y)>
#<alt (+ (* y (* y (* (* x x) 9))) (* z (+ (* (* x 3) y) z)))>
#<alt (/ (+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z))) (+ (* y (* y (* (* x x) 9))) (* z (+ (* (* x 3) y) z))))>
#<alt (+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z)))>
#<alt (* (* (* x (* x x)) 27) (* y (* y y)))>
#<alt (* y (* (* x x) 9))>

Outputs
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (/ -1 z)>
#<alt (- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z))>
#<alt (- (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* 9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z))>
#<alt (/ 1/3 (* x y))>
#<alt (/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)>
#<alt (/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)>
#<alt (/ 1/3 (* x y))>
#<alt (* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))>
#<alt (/ -1 z)>
#<alt (- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (- (* y (- (* -9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z))>
#<alt (- (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* 9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z))>
#<alt (/ 1/3 (* x y))>
#<alt (/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)>
#<alt (/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* -1/9 (/ z (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/9 (/ z (* (pow x 2) y))) (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)>
#<alt (/ 1/3 (* x y))>
#<alt (* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* 1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))>
#<alt (/ 1/3 (* x y))>
#<alt (+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))>
#<alt (+ (* z (+ (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))>
#<alt (+ (* z (+ (* z (+ (* 1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))>
#<alt (/ -1 z)>
#<alt (/ (- (* -3 (/ (* x y) z)) 1) z)>
#<alt (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* 3 (/ (* x y) z)))) z)>
#<alt (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (* 3 (/ (* x y) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))) z))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* z (- (* 3 (/ (* x y) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (pow z 2)>
#<alt (+ (* 3 (* x (* y z))) (pow z 2))>
#<alt (+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))>
#<alt (+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))>
#<alt (pow z 2)>
#<alt (+ (* 3 (* x (* y z))) (pow z 2))>
#<alt (+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))>
#<alt (+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))>
#<alt (+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))>
#<alt (+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))>
#<alt (* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))>
#<alt z>
#<alt (+ z (* -3 (* x y)))>
#<alt (+ z (* x (- (* -1 (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) (* 3 y))))>
#<alt (+ z (* x (- (* x (- (* x (- (* 27 (/ (pow y 3) (pow z 2))) (+ (* -27 (/ (pow y 3) (pow z 2))) (* -3 (/ (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))) z))))) (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) (* 3 y))))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) (pow x 2))) (* 3 y)) (/ z x)))>
#<alt (* x (- (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (/ z x)))))))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (* -1 (/ (- (+ (* -1/3 (/ (pow z 2) (* x y))) (* 1/3 (/ (pow z 2) (* x y)))) z) x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (pow y 2))) (+ (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) y)))) x)) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x)) z) x)))))>
#<alt z>
#<alt (+ z (* -3 (* x y)))>
#<alt (+ z (* y (- (* -1 (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) (* 3 x))))>
#<alt (+ z (* y (- (* y (- (* y (- (* 27 (/ (pow x 3) (pow z 2))) (+ (* -27 (/ (pow x 3) (pow z 2))) (* -3 (/ (* x (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))) z))))) (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) (* 3 x))))>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (- (+ (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) (pow y 2))) (* 3 x)) (/ z y)))>
#<alt (* y (- (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (/ z y)))))))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (* -1 (/ (- (+ (* -1/3 (/ (pow z 2) (* x y))) (* 1/3 (/ (pow z 2) (* x y)))) z) y)))))>
#<alt (* -1 (* y (+ (* -3 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (pow x 2))) (+ (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) x)))) y)) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y)) z) y)))))>
#<alt (* 3 (* x y))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* 3 (* x y)) (* z (- (* 2/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))) 1)))>
#<alt (+ (* 3 (* x y)) (* z (- (* (pow z 2) (+ (* -2/27 (/ z (* (pow x 3) (pow y 3)))) (* 2/9 (/ 1 (* (pow x 2) (pow y 2)))))) 1)))>
#<alt z>
#<alt (* z (+ 1 (* -3 (/ (* x y) z))))>
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) (pow z 2)))) (* 3 (/ (* x y) z))))>
#<alt (* z (- (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))))))>
#<alt z>
#<alt (* -1 (* z (- (* 3 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 9 (/ (* (pow x 2) (pow y 2)) z))) (* 3 (* x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (* (pow x 3) (pow y 3))) (+ (* -27 (* (pow x 3) (pow y 3))) (* 3 (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2))))))))) z)) (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)) 1)))>
#<alt (pow z 3)>
#<alt (+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))>
#<alt (+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))>
#<alt (+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* (pow x 3) (+ (* 27 (pow y 3)) (/ (pow z 3) (pow x 3))))>
#<alt (* (pow x 3) (+ (* 27 (pow y 3)) (/ (pow z 3) (pow x 3))))>
#<alt (* (pow x 3) (+ (* 27 (pow y 3)) (/ (pow z 3) (pow x 3))))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -27 (pow y 3)) (* -1 (/ (pow z 3) (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -27 (pow y 3)) (* -1 (/ (pow z 3) (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -27 (pow y 3)) (* -1 (/ (pow z 3) (pow x 3))))))>
#<alt (pow z 3)>
#<alt (+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))>
#<alt (+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))>
#<alt (+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* (pow y 3) (+ (* 27 (pow x 3)) (/ (pow z 3) (pow y 3))))>
#<alt (* (pow y 3) (+ (* 27 (pow x 3)) (/ (pow z 3) (pow y 3))))>
#<alt (* (pow y 3) (+ (* 27 (pow x 3)) (/ (pow z 3) (pow y 3))))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -27 (pow x 3)) (* -1 (/ (pow z 3) (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (+ (* -27 (pow x 3)) (* -1 (/ (pow z 3) (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (+ (* -27 (pow x 3)) (* -1 (/ (pow z 3) (pow y 3))))))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))>
#<alt (+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))>
#<alt (+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))>
#<alt (* (pow z 3) (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))>
#<alt (* (pow z 3) (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))>
#<alt (pow z 3)>
#<alt (* -1 (* (pow z 3) (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 27 (* (pow x 3) (pow y 3)))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>
#<alt (* 9 (* (pow x 2) y))>

Calls

105 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z)))
1.0ms	z	@	-inf	(/ 1 (- (* (* x 3) y) z))
1.0ms	y	@	inf	(/ (+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z))) (+ (* y (* y (* (* x x) 9))) (* z (+ (* (* x 3) y) z))))
1.0ms	x	@	inf	(/ (+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z))) (+ (* y (* y (* (* x x) 9))) (* z (+ (* (* x 3) y) z))))
1.0ms	z	@	-inf	(+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z)))

rewrite1.2s (15.8%)

Memory

-115.5MiB live, 983.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 468×	`accelerator-lowering-fma.f32`
13 468×	`accelerator-lowering-fma.f64`
4 606×	`-lowering-.f32`
4 606×	`-lowering-.f64`
3 136×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	134
1	164	134
2	1149	124
0	8942	117

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 105

Calls

Call 1

Inputs
(- (* (* x y) 3) z)
(* (* x y) 3)
(* x y)
(- 0 z)
(* x (* 3 y))
(* 3 y)
(/ 1 (/ 1 (- (* (* x 3) y) z)))
(/ 1 (- (* (* x 3) y) z))
(- (* (* x 3) y) z)
(* (* x 3) y)
(+ (* y (* y (* (* x x) 9))) (* z (+ (* (* x 3) y) z)))
(/ (+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z))) (+ (* y (* y (* (* x x) 9))) (* z (+ (* (* x 3) y) z))))
(+ (* (* (* x (* x x)) 27) (* y (* y y))) (* z (* z z)))
(* (* (* x (* x x)) 27) (* y (* y y)))
(* y (* (* x x) 9))

Outputs
(+.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) (.f64 x (.f64 y #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (-.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal -9 binary64)) (.f64 z (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))))))
(+.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (neg.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 x (*.f64 y #s(literal 3 binary64)))))))
(+.f64 (neg.f64 (.f64 (.f64 x y) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 x y) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) z))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 z (-.f64 z (.f64 x (*.f64 y #s(literal 3 binary64)))))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 z (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64)))))) (.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 y (.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(+.f64 (.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) #s(literal -1 binary64)) (.f64 z #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))))) (.f64 (.f64 z (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (*.f64 z z))))))
(+.f64 (.f64 (.f64 z (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))))) (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (*.f64 z z))))))
(exp.f64 (log.f64 (-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (*.f64 y #s(literal 3 binary64))) z)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64)))))
(-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z)
(-.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (-.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal -9 binary64)) (.f64 z (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (/.f64 (.f64 z z) (+.f64 z (.f64 x (*.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (-.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal -9 binary64)) (.f64 z (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 x (*.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) z))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (-.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y #s(literal 3 binary64)))) (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (neg.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 x (*.f64 y #s(literal 3 binary64)))))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (-.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z) (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (-.f64 #s(literal 0 binary64) z))
(fma.f64 (.f64 x (.f64 y #s(literal 3 binary64))) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (neg.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 x (*.f64 y #s(literal 3 binary64)))))))
(fma.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 x y) (.f64 x y)) (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (neg.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64)))))))
(fma.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) #s(literal -9 binary64)) (.f64 z (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 z z))) (.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) z (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x y) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (neg.f64 (/.f64 (.f64 z z) (+.f64 z (.f64 x (*.f64 y #s(literal 3 binary64)))))))
(fma.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 (.f64 z (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))))))
(fma.f64 (.f64 z (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) z) (.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) #s(literal -1 binary64) (*.f64 z #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 27 binary64))) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 z (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64)))))))
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simplify485.0ms (6.3%)

Memory

10.1MiB live, 599.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 446×	`accelerator-lowering-fma.f32`
6 446×	`accelerator-lowering-fma.f64`
5 204×	`-lowering-.f32`
5 204×	`-lowering-.f64`
1 856×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	546	4382
1	1772	4138
2	6529	4006
0	8390	3857

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(/ -1 z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z))
(- (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* 9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z))
(/ 1/3 (* x y))
(/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x)
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)
(/ 1/3 (* x y))
(* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(/ -1 z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (- (* -9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z))
(- (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* 9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z))
(/ 1/3 (* x y))
(/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* -1/9 (/ z (* (pow x 2) y)))) y)
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/9 (/ z (* (pow x 2) y))) (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)
(/ 1/3 (* x y))
(* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* 1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(/ 1/3 (* x y))
(+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))
(+ (* z (+ (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))
(+ (* z (+ (* z (+ (* 1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))
(/ -1 z)
(/ (- (* -3 (/ (* x y) z)) 1) z)
(/ (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* 3 (/ (* x y) z)))) z)
(/ (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (* 3 (/ (* x y) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))) z))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(pow z 2)
(+ (* 3 (* x (* y z))) (pow z 2))
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(+ (* y (+ (* 3 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* 3 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* x z)) (* -1 (/ (pow z 2) y))) y)) (* 9 (pow x 2))))
(pow z 2)
(+ (* 3 (* x (* y z))) (pow z 2))
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(+ (* x (+ (* 3 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 3 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -3 (* y z)) (* -1 (/ (pow z 2) x))) x)) (* 9 (pow y 2))))
(* 9 (* (pow x 2) (pow y 2)))
(+ (* 3 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* 3 (* x y)))))
(pow z 2)
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* (pow z 2) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(pow z 2)
(* (pow z 2) (+ 1 (* 3 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z))))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* -1 (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) (* 3 y))))
(+ z (* x (- (* x (- (* x (- (* 27 (/ (pow y 3) (pow z 2))) (+ (* -27 (/ (pow y 3) (pow z 2))) (* -3 (/ (* y (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))) z))))) (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z))))) (* 3 y))))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (- (+ (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y))) (pow x 2))) (* 3 y)) (/ z x)))
(* x (- (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) (* (pow x 3) y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) y))) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/3 (/ (pow z 2) (* (pow x 2) y))) (/ z x)))))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (- (+ (* -1/3 (/ (pow z 2) (* x y))) (* 1/3 (/ (pow z 2) (* x y)))) z) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (pow y 2))) (+ (* -1/9 (/ (pow z 3) (pow y 2))) (* 1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) y)))) x)) (+ (* -1/3 (/ (pow z 2) y)) (* 1/3 (/ (pow z 2) y)))) x)) z) x)))))
z
(+ z (* -3 (* x y)))
(+ z (* y (- (* -1 (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) (* 3 x))))
(+ z (* y (- (* y (- (* y (- (* 27 (/ (pow x 3) (pow z 2))) (+ (* -27 (/ (pow x 3) (pow z 2))) (* -3 (/ (* x (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))) z))))) (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z))))) (* 3 x))))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (- (+ (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) (pow y 2))) (* 3 x)) (/ z y)))
(* y (- (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)) (+ (* -1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) (* x (pow y 3)))) (+ (* -1/3 (/ (pow z 2) (* x (pow y 2)))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (/ z y)))))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (- (+ (* -1/3 (/ (pow z 2) (* x y))) (* 1/3 (/ (pow z 2) (* x y)))) z) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (pow x 2))) (+ (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) x)))) y)) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y)) z) y)))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* 3 (* x y)) (* z (- (* 2/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))) 1)))
(+ (* 3 (* x y)) (* z (- (* (pow z 2) (+ (* -2/27 (/ z (* (pow x 3) (pow y 3)))) (* 2/9 (/ 1 (* (pow x 2) (pow y 2)))))) 1)))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))))))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 9 (/ (* (pow x 2) (pow y 2)) z))) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (* (pow x 3) (pow y 3))) (+ (* -27 (* (pow x 3) (pow y 3))) (* 3 (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2))))))))) z)) (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)) 1)))
(pow z 3)
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(* 27 (* (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* 27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(* (pow x 3) (+ (* 27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(* (pow x 3) (+ (* 27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(* 27 (* (pow x 3) (pow y 3)))
(* -1 (* (pow x 3) (+ (* -27 (pow y 3)) (* -1 (/ (pow z 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ (* -27 (pow y 3)) (* -1 (/ (pow z 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ (* -27 (pow y 3)) (* -1 (/ (pow z 3) (pow x 3))))))
(pow z 3)
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(* 27 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* 27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(* (pow y 3) (+ (* 27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(* (pow y 3) (+ (* 27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(* 27 (* (pow x 3) (pow y 3)))
(* -1 (* (pow y 3) (+ (* -27 (pow x 3)) (* -1 (/ (pow z 3) (pow y 3))))))
(* -1 (* (pow y 3) (+ (* -27 (pow x 3)) (* -1 (/ (pow z 3) (pow y 3))))))
(* -1 (* (pow y 3) (+ (* -27 (pow x 3)) (* -1 (/ (pow z 3) (pow y 3))))))
(* 27 (* (pow x 3) (pow y 3)))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(* (pow z 3) (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(* (pow z 3) (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(pow z 3)
(* -1 (* (pow z 3) (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 27 (* (pow x 3) (pow y 3)))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))

Outputs
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(.f64 x (-.f64 (.f64 #s(literal 3 binary64) y) (/.f64 z x)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
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(* -1 (* y (+ (* -3 x) (* -1 (/ (- (+ (* -1/3 (/ (pow z 2) (* x y))) (* 1/3 (/ (pow z 2) (* x y)))) z) y)))))
(.f64 y (-.f64 (.f64 #s(literal 3 binary64) x) (/.f64 z y)))
(* -1 (* y (+ (* -3 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (pow x 2))) (+ (* -1/9 (/ (pow z 3) (pow x 2))) (* 1/3 (/ (* z (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) x)))) y)) (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x)))) y)) z) y)))))
(.f64 (-.f64 (.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 x x)) #s(literal 2/9 binary64)) y) y) z) y)) (-.f64 #s(literal 0 binary64) y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* 3 (* x y)) (* z (- (* 2/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))) 1)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 z z) #s(literal 2/9 binary64)) (.f64 y (.f64 y (.f64 x x)))))))
(+ (* 3 (* x y)) (* z (- (* (pow z 2) (+ (* -2/27 (/ z (* (pow x 3) (pow y 3)))) (* 2/9 (/ 1 (* (pow x 2) (pow y 2)))))) 1)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 z (+.f64 #s(literal -1 binary64) (.f64 (.f64 z z) (+.f64 (/.f64 (.f64 z #s(literal -2/27 binary64)) (.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))))) (/.f64 #s(literal 2/9 binary64) (.f64 y (.f64 y (.f64 x x)))))))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x y) #s(literal -3 binary64)) z)))
(* z (- (+ 1 (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) (pow z 2)))) (* 3 (/ (* x y) z))))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x y) #s(literal -3 binary64)) z)))
(* z (- (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -3 (/ (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))))) (pow z 3))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))))))
(.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y))))) (/.f64 #s(literal 27 binary64) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y))))) (/.f64 #s(literal 27 binary64) (.f64 z (.f64 z z))))) (+.f64 (.f64 (.f64 x y) (/.f64 #s(literal 3 binary64) z)) (+.f64 (.f64 #s(literal 9 binary64) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) z) z)) (.f64 #s(literal -9 binary64) (/.f64 (/.f64 (.f64 y (.f64 y (*.f64 x x))) z) z)))))))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x y) #s(literal -3 binary64)) z)))
(* -1 (* z (- (* -1 (/ (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 9 (/ (* (pow x 2) (pow y 2)) z))) (* 3 (* x y))) z)) 1)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x y) #s(literal -3 binary64)) z)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (* (pow x 3) (pow y 3))) (+ (* -27 (* (pow x 3) (pow y 3))) (* 3 (* x (* y (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2))))))))) z)) (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 (.f64 x y) #s(literal -3 binary64)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y))))) #s(literal 54 binary64)) z) z)) z)) (-.f64 #s(literal 0 binary64) z))
(pow z 3)
(.f64 z (.f64 z z))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* (pow x 3) (+ (* 27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(.f64 (.f64 x x) (.f64 x (+.f64 (.f64 y (.f64 (.f64 y y) #s(literal 27 binary64))) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
(* (pow x 3) (+ (* 27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(.f64 (.f64 x x) (.f64 x (+.f64 (.f64 y (.f64 (.f64 y y) #s(literal 27 binary64))) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
(* (pow x 3) (+ (* 27 (pow y 3)) (/ (pow z 3) (pow x 3))))
(.f64 (.f64 x x) (.f64 x (+.f64 (.f64 y (.f64 (.f64 y y) #s(literal 27 binary64))) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* -1 (* (pow x 3) (+ (* -27 (pow y 3)) (* -1 (/ (pow z 3) (pow x 3))))))
(.f64 (.f64 x x) (.f64 x (+.f64 (.f64 y (.f64 (.f64 y y) #s(literal 27 binary64))) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
(* -1 (* (pow x 3) (+ (* -27 (pow y 3)) (* -1 (/ (pow z 3) (pow x 3))))))
(.f64 (.f64 x x) (.f64 x (+.f64 (.f64 y (.f64 (.f64 y y) #s(literal 27 binary64))) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
(* -1 (* (pow x 3) (+ (* -27 (pow y 3)) (* -1 (/ (pow z 3) (pow x 3))))))
(.f64 (.f64 x x) (.f64 x (+.f64 (.f64 y (.f64 (.f64 y y) #s(literal 27 binary64))) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
(pow z 3)
(.f64 z (.f64 z z))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* (pow y 3) (+ (* 27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))))
(* (pow y 3) (+ (* 27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))))
(* (pow y 3) (+ (* 27 (pow x 3)) (/ (pow z 3) (pow y 3))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* -1 (* (pow y 3) (+ (* -27 (pow x 3)) (* -1 (/ (pow z 3) (pow y 3))))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))))
(* -1 (* (pow y 3) (+ (* -27 (pow x 3)) (* -1 (/ (pow z 3) (pow y 3))))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))))
(* -1 (* (pow y 3) (+ (* -27 (pow x 3)) (* -1 (/ (pow z 3) (pow y 3))))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(+ (* 27 (* (pow x 3) (pow y 3))) (pow z 3))
(+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(pow z 3)
(.f64 z (.f64 z z))
(* (pow z 3) (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(.f64 (.f64 z z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y))))) (/.f64 #s(literal 27 binary64) (.f64 z (*.f64 z z)))))))
(* (pow z 3) (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(.f64 (.f64 z z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y))))) (/.f64 #s(literal 27 binary64) (.f64 z (*.f64 z z)))))))
(* (pow z 3) (+ 1 (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))))
(.f64 (.f64 z z) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y))))) (/.f64 #s(literal 27 binary64) (.f64 z (*.f64 z z)))))))
(pow z 3)
(.f64 z (.f64 z z))
(* -1 (* (pow z 3) (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))))) (.f64 z (*.f64 z z))))))
(* -1 (* (pow z 3) (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))))) (.f64 z (*.f64 z z))))))
(* -1 (* (pow z 3) (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))))) (.f64 z (*.f64 z z))))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 27 (* (pow x 3) (pow y 3)))
(.f64 (.f64 y y) (.f64 y (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))

eval229.0ms (3%)

Memory: -11.8MiB live, 445.8MiB allocated
Compiler: Compiled 65 852 to 2 713 computations (95.9% saved)

prune342.0ms (4.5%)

Memory

-8.8MiB live, 339.7MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 565	6	1 571
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1 568	9	1 577

Accuracy

100.0%

Counts

1 577 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 3 binary64)))))
▶	49.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
✓	99.8%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	49.8%	(.f64 (.f64 x y) #s(literal 3 binary64))
▶	49.8%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	49.8%	(.f64 x (.f64 #s(literal 3 binary64) y))
▶	51.7%	(neg.f64 z)
▶	2.5%	z

Compiler

Compiled 122 to 92 computations (24.6% saved)

simplify7.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	cost-diff	-64	(neg.f64 z)

Rules

52×	`-lowering-.f32`
52×	`-lowering-.f64`
32×	`/-lowering-/.f32`
32×	`/-lowering-/.f64`
28×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	29	43
2	37	43
3	43	43
4	53	43
5	87	43
6	96	43
0	96	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg z)
z
z
(* (* x 3) y)
(* x 3)
x
3
y
(* (* x y) 3)
(* x y)
x
y
3
(/ 1 (/ 1/3 (* x y)))
1
(/ 1/3 (* x y))
1/3
(* x y)
x
y

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

localize84.0ms (1.1%)

Memory

-18.8MiB live, 60.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.1%	(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	100.0%	(neg.f64 z)

Samples

29.0ms

256×

valid

Compiler

Compiled 47 to 15 computations (68.1% saved)

Precisions

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

ival-mult: 6.0ms (41.1% of total)

ival-div: 4.0ms (27.4% of total)

const: 3.0ms (20.5% of total)

ival-neg: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (neg z)>
#<alt (* (* x 3) y)>
#<alt (* x 3)>
#<alt (* (* x y) 3)>
#<alt (* x y)>
#<alt (/ 1 (/ 1/3 (* x y)))>
#<alt (/ 1/3 (* x y))>

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

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ 1/3 (* x y))
1.0ms	y	@	inf	(/ 1/3 (* x y))
0.0ms	y	@	0	(/ 1/3 (* x y))
0.0ms	x	@	0	(/ 1/3 (* x y))
0.0ms	y	@	-inf	(/ 1/3 (* x y))

rewrite247.0ms (3.2%)

Memory

5.5MiB live, 443.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 526×	`-lowering-.f32`
2 526×	`-lowering-.f64`
1 894×	`/-lowering-/.f32`
1 894×	`/-lowering-/.f64`
1 646×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	44	28
2	167	28
3	835	28
4	6560	28
0	8392	28

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 702

Calls

Call 1

Inputs
(neg z)
(* (* x 3) y)
(* x 3)
(* (* x y) 3)
(* x y)
(/ 1 (/ 1/3 (* x y)))
(/ 1/3 (* x y))

Outputs
(+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z))
(-.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) z)
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 z z) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 z (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 z z) (.f64 z (.f64 z z))) (-.f64 #s(literal 0 binary64) (.f64 z z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 z z))) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 z z))) z #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) (.f64 z z) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z (.f64 z z))))) (-.f64 #s(literal 0 binary64) (.f64 z z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (.f64 z (.f64 z (.f64 z z))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 z z) (.f64 z z)) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z (.f64 z z))))) (.f64 z z) #s(literal 0 binary64))
(neg.f64 z)
(/.f64 z #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (*.f64 z z))
(/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (.f64 (.f64 z z) (.f64 z (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (.f64 z (.f64 z (.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z (.f64 z (*.f64 z z))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z (.f64 z z)))) (.f64 z (*.f64 z z)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 z (.f64 z (*.f64 z z))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (.f64 z z))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) #s(literal 1 binary64)) z)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 z z)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 z z)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (.f64 z (.f64 z (.f64 z z))) z))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (.f64 z (.f64 z z)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 (.f64 z z) (.f64 z (.f64 z (*.f64 z z)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 z (*.f64 z z)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) z)) (.f64 z (.f64 z (*.f64 z z))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 (/.f64 (*.f64 z z) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 z z))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 z z)))
(.f64 (/.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(.f64 (/.f64 (.f64 z z) (.f64 z (.f64 z z))) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) z))
(.f64 (/.f64 (.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (.f64 z (.f64 z (*.f64 z z))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) (*.f64 z z))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z (.f64 z z))))) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (.f64 z (.f64 z (*.f64 z z))))
(.f64 (/.f64 (.f64 z z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) z))
(.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z (.f64 z z))))) (*.f64 z z))
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(exp.f64 (log.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (.f64 x y))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y))) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)) (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x y)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1/3 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/3 binary64) y))
(/.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) (.f64 #s(literal -1/3 binary64) (*.f64 x y)))
(/.f64 (/.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) x)) (/.f64 y (/.f64 #s(literal -1/3 binary64) x))) (.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) x)) (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))) (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (*.f64 (/.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.f64 x (.f64 y (*.f64 x y))))
(/.f64 (.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (*.f64 x y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) #s(literal -3 binary64)) (.f64 x (.f64 y (*.f64 x y))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y)))) #s(literal -3 binary64)) (*.f64 x y))
(/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (.f64 x y) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (*.f64 x y)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(*.f64 x (/.f64 y #s(literal 1/3 binary64)))
(.f64 x (.f64 (/.f64 y #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 y (/.f64 x #s(literal 1/3 binary64)))
(.f64 y (.f64 (/.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
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(fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.f64 x (.f64 y (.f64 x y))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (.f64 x y) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))
(/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) y)
(/.f64 (/.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1/3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal -1/3 binary64) (.f64 x y)))
(/.f64 (/.f64 #s(literal -1/3 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(/.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) (*.f64 x y))
(/.f64 (exp.f64 (log.f64 #s(literal -1/3 binary64))) (exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) (exp.f64 (log.f64 y)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x y)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal -1/3 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) y))) (exp.f64 (log.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) y)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x #s(literal -1/3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (.f64 x y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x #s(literal 1/3 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))))) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (.f64 x y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 y #s(literal 1/3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)))) #s(literal -1 binary64)) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y (*.f64 x y)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y)) (/.f64 x (/.f64 #s(literal 1/3 binary64) y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) y))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x y)))
(.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x y)) #s(literal -1 binary64))
(.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (exp.f64 (log.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1/3 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal -1/3 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1/3 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 y #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (exp.f64 (log.f64 #s(literal -1/3 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)))))
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y))
(.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (.f64 x (.f64 y (*.f64 x y))))
(.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y (.f64 x y))))) (*.f64 x y))

simplify25.0ms (0.3%)

Memory

7.5MiB live, 49.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	612
1	19	612
2	29	612
3	31	612
4	33	612
5	35	612
6	39	612
7	44	612
0	44	612

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 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 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))

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

eval103.0ms (1.3%)

Memory: 20.0MiB live, 286.6MiB allocated
Compiler: Compiled 10 144 to 1 149 computations (88.7% saved)

prune85.0ms (1.1%)

Memory

-14.3MiB live, 234.3MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	949	3	952
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	951	10	961

Accuracy

100.0%

Counts

961 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.8%	(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
▶	49.8%	(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
✓	99.8%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	49.8%	(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)
✓	49.8%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	49.8%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	49.8%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	51.7%	(neg.f64 z)
✓	2.5%	z

Compiler

Compiled 77 to 57 computations (26% saved)

simplify4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
✓	cost-diff	(/.f64 #s(literal 1/3 binary64) y)
✓	cost-diff	(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
✓	cost-diff	(/.f64 y #s(literal 1/3 binary64))
✓	cost-diff	(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	14	33
2	15	33
0	15	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ y 1/3) x)
(/ y 1/3)
y
1/3
x
(/ x (/ 1/3 y))
x
(/ 1/3 y)
1/3
y
(/ (* x y) 1/3)
(* x y)
x
y
1/3

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

localize76.0ms (1%)

Memory

-20.3MiB live, 170.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
✓	accuracy	99.6%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	99.9%	(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)
✓	accuracy	99.8%	(/.f64 y #s(literal 1/3 binary64))

Samples

41.0ms	79×	5	exit
16.0ms	177×	0	valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 14.0ms (42.4% of total)

const: 12.0ms (36.3% of total)

ival-mult: 5.0ms (15.1% of total)

adjust: 2.0ms (6.1% of total)

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

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

series2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (* (/ y 1/3) x)>
#<alt (/ y 1/3)>
#<alt (/ x (/ 1/3 y))>
#<alt (/ 1/3 y)>
#<alt (/ (* x y) 1/3)>
#<alt (* x y)>

Outputs
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ 1/3 y)
0.0ms	y	@	inf	(/ 1/3 y)
0.0ms	y	@	-inf	(/ 1/3 y)
0.0ms	y	@	0	(* (/ y 1/3) x)
0.0ms	y	@	-inf	(* (/ y 1/3) x)

rewrite367.0ms (4.8%)

Memory

8.9MiB live, 410.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 312×	`-lowering-.f32`
2 312×	`-lowering-.f64`
1 848×	`/-lowering-/.f32`
1 848×	`/-lowering-/.f64`
1 292×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	37	24
2	148	24
3	646	24
4	3566	24
0	8803	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 956

Calls

Call 1

Inputs
(* (/ y 1/3) x)
(/ y 1/3)
(/ x (/ 1/3 y))
(/ 1/3 y)
(/ (* x y) 1/3)
(* x y)

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

simplify17.0ms (0.2%)

Memory

1.2MiB live, 40.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
10×	`*-commutative`
4×	`associate-r`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	504
1	13	504
2	18	504
0	18	504

Stop Event

1×	iter limit
1×	saturated

Counts

120 → 120

Calls

Call 1

Inputs
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

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

eval488.0ms (6.4%)

Memory: 27.5MiB live, 253.3MiB allocated
Compiler: Compiled 14 517 to 1 223 computations (91.6% saved)

prune89.0ms (1.2%)

Memory

-33.9MiB live, 166.7MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	1 076	0	1 076
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	1 076	10	1 086

Accuracy

100.0%

Counts

1 086 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.8%	(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
✓	49.8%	(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
✓	99.8%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	49.8%	(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)
✓	49.8%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	49.8%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	49.8%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	51.7%	(neg.f64 z)
✓	2.5%	z

Compiler

Compiled 196 to 105 computations (46.4% saved)

regimes33.0ms (0.4%)

Memory

-0.4MiB live, 77.1MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	x
6.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
5.0ms	z
5.0ms	(*.f64 x #s(literal 3 binary64))
5.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes27.0ms (0.4%)

Memory

-0.4MiB live, 38.2MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
z
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 (.f64 x y) #s(literal 3 binary64))
(*.f64 (/.f64 y #s(literal 1/3 binary64)) x)
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))

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

Calls

5 calls:

13.0ms	x
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	z
3.0ms	y
3.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)

Results

Accuracy	Segments	Branch
74.6%	3	`x`
75.1%	3	`y`
73.3%	3	`z`
83.2%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
74.6%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)

Outputs
(neg.f64 z)

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
51.7%	1	`z`
51.7%	1	`x`
51.7%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
2.5%	1	`x`
2.5%	1	`y`
2.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.425822967384889e-40	2.362990565925911e-39
0.0ms	-0.17920984062576092	-0.008235624986989288

Compiler

Compiled 13 to 13 computations (0% saved)

simplify39.0ms (0.5%)

Memory

-61.4MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	28	34
2	31	34
3	32	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 6129982163463555/6129982163463555433433388108601236734474956488734408704 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(neg.f64 z)
z

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 6129982163463555/6129982163463555433433388108601236734474956488734408704 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -3602879701896397/36028797018963968 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 6129982163463555/6129982163463555433433388108601236734474956488734408704 binary64)) (-.f64 #s(literal 0 binary64) z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
z

soundness799.0ms (10.4%)

Memory

18.2MiB live, 445.0MiB allocated

Rules

13 468×	`accelerator-lowering-fma.f32`
13 468×	`accelerator-lowering-fma.f64`
11 252×	`accelerator-lowering-fma.f32`
11 252×	`accelerator-lowering-fma.f64`
6 446×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	378
1	118	378
2	331	378
3	833	378
4	2352	378
5	4041	378
6	5990	378
7	7425	378
8	7937	378
0	8002	378
0	35	134
1	164	134
2	1149	124
0	8942	117
0	546	4382
1	1772	4138
2	6529	4006
0	8390	3857
0	7	15
1	25	15
2	181	15
3	1870	15
0	8358	15

Stop Event

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

Compiler

Compiled 77 to 44 computations (42.9% saved)

preprocess134.0ms (1.7%)

Memory: 7.6MiB live, 161.9MiB allocated
Compiler: Compiled 186 to 104 computations (44.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
1	13	19
2	25	19
3	33	19
4	60	19
5	103	19
6	187	19
7	306	19
8	398	19
9	423	19
10	431	19
0	431	19

Iter	Nodes	Cost
0	7	19
1	13	19
2	25	19
3	33	19
4	60	19
5	103	19
6	187	19
7	306	19
8	398	19
9	423	19
10	431	19
0	431	19

analyze0.0ms (0%)

sample921.0ms (12%)

preprocess49.0ms (0.6%)

explain73.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.2%)

localize24.0ms (0.3%)

series6.0ms (0.1%)

rewrite492.0ms (6.4%)

simplify181.0ms (2.4%)

eval64.0ms (0.8%)

prune67.0ms (0.9%)

simplify724.0ms (9.4%)

localize110.0ms (1.4%)

series31.0ms (0.4%)

rewrite1.2s (15.8%)

simplify485.0ms (6.3%)

eval229.0ms (3%)

prune342.0ms (4.5%)

simplify7.0ms (0.1%)

localize84.0ms (1.1%)

series4.0ms (0.1%)

rewrite247.0ms (3.2%)

simplify25.0ms (0.3%)

eval103.0ms (1.3%)

prune85.0ms (1.1%)

simplify4.0ms (0.1%)

localize76.0ms (1%)

series2.0ms (0%)

rewrite367.0ms (4.8%)

simplify17.0ms (0.2%)

eval488.0ms (6.4%)

prune89.0ms (1.2%)

regimes33.0ms (0.4%)

regimes27.0ms (0.4%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify39.0ms (0.5%)

soundness799.0ms (10.4%)

preprocess134.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
1	13	19
2	25	19
3	33	19
4	60	19
5	103	19
6	187	19
7	306	19
8	398	19
9	423	19
10	431	19
0	431	19