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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample587.0ms (9.1%)

Memory

1.1MiB live, 982.5MiB allocated

Samples

392.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 135.0ms (70.6% of total)

ival-sub: 42.0ms (22% of total)

ival-true: 6.0ms (3.1% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess58.0ms (0.9%)

Memory

9.0MiB live, 87.7MiB 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)

explain96.0ms (1.5%)

Memory

10.8MiB live, 165.0MiB 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

50.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (70% of total)

ival-sub: 2.0ms (20% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify52.0ms (0.8%)

Memory

-9.8MiB live, 29.3MiB 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

localize21.0ms (0.3%)

Memory

7.9MiB live, 46.5MiB 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

14.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (50.3% of total)

ival-sub: 2.0ms (33.6% 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

13.2MiB live, 13.2MiB 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)

rewrite483.0ms (7.5%)

Memory

-21.7MiB live, 734.4MiB 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) (neg.f64 z))
(+.f64 (neg.f64 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))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))))))
(+.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (neg.f64 (.f64 z (/.f64 z (fma.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 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) (neg.f64 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))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (.f64 z (/.f64 z (fma.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 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (neg.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.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)) (neg.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.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) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (-.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) z)))
(-.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) z)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.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)) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))
(-.f64 (/.f64 (.f64 z z) (neg.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))))) (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (neg.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.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))) (fma.f64 (.f64 z (.f64 z z)) (fma.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))))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.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)))) (fma.f64 (.f64 z (.f64 z z)) (fma.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))))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.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))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.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))) (fma.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 (neg.f64 z)))))) (/.f64 (.f64 z (.f64 z z)) (fma.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 (neg.f64 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))) (fma.f64 (.f64 z (.f64 z z)) (fma.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))))) (fma.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 (neg.f64 z)))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z (.f64 z z)) (fma.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))))) (fma.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 (neg.f64 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))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (fma.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 (neg.f64 z)))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (fma.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 (neg.f64 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))) (fma.f64 y (.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (.f64 z z) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z))))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 y (.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (.f64 z z) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z))))) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))
(-.f64 (/.f64 (/.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)))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (/.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))
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(.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (fma.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.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))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.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 (fma.f64 (.f64 x #s(literal 3 binary64)) y z) (.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z) (.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z) (fma.f64 (.f64 x #s(literal 3 binary64)) y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (fma.f64 (.f64 z (/.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))) (.f64 z (/.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (.f64 z (/.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))))))))
(.f64 (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z))) (.f64 (.f64 z (/.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))) (.f64 z (/.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (.f64 z (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))))))
(.f64 (/.f64 (fma.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))))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (fma.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 (fma.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)))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (*.f64 z z)))))
(.f64 (/.f64 (fma.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)))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (.f64 z z) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z))))))
(.f64 (/.f64 (.f64 (fma.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))) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (-.f64 z (.f64 (*.f64 x #s(literal 3 binary64)) y)))))
(.f64 (/.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))) (-.f64 (.f64 (*.f64 x #s(literal 3 binary64)) y) z))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z) (.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z) (fma.f64 (.f64 x #s(literal 3 binary64)) y 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))))) (fma.f64 y (.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (-.f64 (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))) (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))))) (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z) (fma.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) (fma.f64 y (.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (.f64 (.f64 z z) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z) (.f64 (fma.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) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z z))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))) (fma.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) (fma.f64 (.f64 z (.f64 z z)) (fma.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 (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z))) (fma.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) (fma.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)

simplify198.0ms (3.1%)

Memory

25.7MiB live, 262.4MiB 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)
(neg.f64 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)
(neg.f64 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)
(neg.f64 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)
(neg.f64 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)

eval43.0ms (0.7%)

Memory: -8.8MiB live, 74.3MiB allocated
Compiler: Compiled 15 769 to 697 computations (95.6% saved)

prune45.0ms (0.7%)

Memory

10.7MiB live, 86.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	320	6	326
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	320	7	327

Accuracy

100.0%

Counts

327 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.1%	(fma.f64 (.f64 y (.f64 (.f64 x #s(literal 3 binary64)) y)) (/.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)) (neg.f64 (.f64 z (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)))))
▶	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
▶	36.9%	(/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (fma.f64 (.f64 x #s(literal 3 binary64)) y z))
▶	99.7%	(/.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 #s(literal 3 binary64)) y) z)
▶	48.6%	(.f64 x (.f64 #s(literal 3 binary64) y))
▶	53.9%	(neg.f64 z)

Compiler

Compiled 194 to 115 computations (40.7% saved)

simplify869.0ms (13.5%)

Memory

-14.1MiB live, 230.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
✓	cost-diff	0	(.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))
✓	cost-diff	0	(-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (*.f64 z z))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (fma.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	128	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z))
✓	cost-diff	1280	(/.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	(neg.f64 z)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))

Rules

3 576×	`accelerator-lowering-fma.f32`
3 576×	`accelerator-lowering-fma.f64`
2 912×	`-lowering-.f32`
2 912×	`-lowering-.f64`
1 442×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	142
1	60	142
2	115	142
3	295	142
4	636	142
5	1382	142
6	2444	142
7	3719	142
8	4275	142
9	4338	142
10	4342	142
11	4343	142
12	4611	142
13	4637	142
14	4637	142
15	4637	142
16	4740	142
17	4780	142
18	4780	142
19	4780	142
20	5046	142
21	6474	142
22	6474	142
23	6474	142
0	6474	139

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize88.0ms (1.4%)

Memory

-11.2MiB live, 159.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.6%	(.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))
✓	accuracy	92.1%	(-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (*.f64 z z))
✓	accuracy	86.9%	(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
✓	accuracy	49.7%	(/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z)) (fma.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	99.3%	(/.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%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))

Samples

47.0ms

256×

valid

Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 19.0ms (62.1% of total)

ival-div: 5.0ms (16.4% of total)

ival-sub: 2.0ms (6.5% of total)

ival-add: 2.0ms (6.5% of total)

ival-neg: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.4%)

Memory

6.7MiB live, 44.3MiB allocated

Counts

13 → 360

Calls

Call 1

Inputs
#<alt (+ (* (* x y) 3) (neg z))>
#<alt (* x y)>
#<alt (neg 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 z)) (+ (* (* x 3) y) z))>
#<alt (- (* y (* y (* (* x x) 9))) (* z z))>
#<alt (* y (* y (* (* x x) 9)))>
#<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 (* 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 (* -1 z)>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<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 (* -1 z)>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<alt (+ (* -1 z) (* 3 (* x y)))>
#<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 (* 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 (pow z 2))>
#<alt (- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))>
#<alt (* -1 (pow z 2))>
#<alt (- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (+ (* -1 (pow z 2)) (* 9 (* (pow x 2) (pow y 2))))>
#<alt (+ (* -1 (pow z 2)) (* 9 (* (pow x 2) (pow y 2))))>
#<alt (+ (* -1 (pow z 2)) (* 9 (* (pow x 2) (pow y 2))))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<alt (* 9 (* (pow x 2) (pow y 2)))>
#<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

90 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/ (- (* y (* y (* (* x x) 9))) (* z z)) (+ (* (* x 3) y) z))
1.0ms	z	@	-inf	(/ 1 (- (* (* x 3) y) z))
1.0ms	y	@	0	(/ (- (* y (* y (* (* x x) 9))) (* z z)) (+ (* (* x 3) y) z))
1.0ms	z	@	0	(/ (- (* y (* y (* (* x x) 9))) (* z z)) (+ (* (* x 3) y) z))
1.0ms	x	@	inf	(/ (- (* y (* y (* (* x x) 9))) (* z z)) (+ (* (* x 3) y) z))

rewrite576.0ms (8.9%)

Memory

-10.4MiB live, 760.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 458×	`accelerator-lowering-fma.f32`
6 458×	`accelerator-lowering-fma.f64`
4 176×	`-lowering-.f32`
4 176×	`-lowering-.f64`
2 086×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	84
1	127	84
2	898	77
0	9644	71

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 2 134

Calls

Call 1

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

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

simplify397.0ms (6.2%)

Memory

1.7MiB live, 631.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 640×	`accelerator-lowering-fma.f32`
6 640×	`accelerator-lowering-fma.f64`
5 118×	`/-lowering-/.f32`
5 118×	`/-lowering-/.f64`
4 858×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	275	3175
1	834	3097
2	2600	3063
3	7410	3062
0	8536	3005

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* 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))
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(* 3 (* x y))
(* 3 (* x y))
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(* 3 (* x y))
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(* 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)))
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(* -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))
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(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
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(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
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(* 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))))
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 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))))
(* 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 (pow z 2))
(- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))
(- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))
(- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (* 9 (pow x 2))))
(* -1 (pow z 2))
(- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))
(- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))
(- (* 9 (* (pow x 2) (pow y 2))) (pow z 2))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (* 9 (pow y 2))))
(* 9 (* (pow x 2) (pow y 2)))
(+ (* -1 (pow z 2)) (* 9 (* (pow x 2) (pow y 2))))
(+ (* -1 (pow z 2)) (* 9 (* (pow x 2) (pow y 2))))
(+ (* -1 (pow z 2)) (* 9 (* (pow x 2) (pow y 2))))
(* -1 (pow z 2))
(* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))
(* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))
(* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))
(* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))
(* (pow z 2) (- (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) 1))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
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(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
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(* 9 (* (pow x 2) (pow y 2)))
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(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 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)
(neg.f64 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)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 z)
(neg.f64 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))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z 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)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x y) z) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x y) z) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x y) z) z) (neg.f64 z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 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 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)
(* -1 z)
(neg.f64 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)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 z)
(neg.f64 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))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z 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)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x y) z) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x y) z) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 x y) z) z) (neg.f64 z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 x z) #s(literal -1 binary64)) z)
(- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z))
(fma.f64 x (/.f64 (.f64 #s(literal -9 binary64) (.f64 x (.f64 y y))) (.f64 z (.f64 z z))) (/.f64 (fma.f64 (.f64 y #s(literal -3 binary64)) (/.f64 x z) #s(literal -1 binary64)) 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))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 x (.f64 y (.f64 y y))) (/.f64 #s(literal -27 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -9 binary64) (.f64 y y)) (.f64 z (.f64 z z)))) (.f64 #s(literal -3 binary64) (/.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) z))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)
(fma.f64 #s(literal 1/9 binary64) (/.f64 z (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x)
(/.f64 (fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x y))) (fma.f64 #s(literal 1/27 binary64) (.f64 z (/.f64 z (.f64 y (.f64 x (.f64 x (*.f64 x y)))))) (/.f64 #s(literal 1/3 binary64) x))) y)
(/ (- (+ (* 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)
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x (pow.f64 y #s(literal 4 binary64))))) (fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y y))) (fma.f64 (.f64 z z) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (.f64 y (.f64 y y))))) (/.f64 #s(literal 1/3 binary64) y)))) x)
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x))
(fma.f64 #s(literal 1/9 binary64) (/.f64 z (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(/.f64 (fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x y))) (fma.f64 #s(literal 1/27 binary64) (.f64 z (/.f64 z (.f64 y (.f64 x (.f64 x (*.f64 x y)))))) (/.f64 #s(literal 1/3 binary64) x))) y)
(* -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))
(neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 z (.f64 y y)) (fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal -1/81 binary64) (.f64 x (.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 z z) #s(literal -1/27 binary64)) (.f64 x (.f64 y (.f64 y y)))))) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x y))))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(/.f64 (fma.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 x z) #s(literal -1 binary64)) z)
(- (* y (- (* -9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (/.f64 (.f64 (.f64 (.f64 #s(literal -9 binary64) (*.f64 x x)) y) y) z)) z)) 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))
(fma.f64 y (.f64 y (fma.f64 (.f64 x x) (/.f64 #s(literal -9 binary64) (.f64 z (.f64 z z))) (/.f64 (.f64 #s(literal -27 binary64) (.f64 x (.f64 x (.f64 x y)))) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (fma.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 x z) #s(literal -1 binary64)) z))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)
(fma.f64 #s(literal 1/9 binary64) (/.f64 z (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1/3 binary64) (.f64 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)
(/.f64 (fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x y))) (fma.f64 #s(literal 1/27 binary64) (.f64 z (/.f64 z (.f64 y (.f64 x (.f64 x (*.f64 x y)))))) (/.f64 #s(literal 1/3 binary64) x))) 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)
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 y y) (.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x y))) (fma.f64 #s(literal 1/27 binary64) (.f64 z (/.f64 z (.f64 y (.f64 x (.f64 x (.f64 x y)))))) (/.f64 #s(literal 1/3 binary64) x)))) y)
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y))
(fma.f64 #s(literal 1/9 binary64) (/.f64 z (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1/3 binary64) (.f64 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))
(/.f64 (fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x y))) (fma.f64 #s(literal 1/27 binary64) (.f64 z (/.f64 z (.f64 y (.f64 x (.f64 x (*.f64 x y)))))) (/.f64 #s(literal 1/3 binary64) 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))
(neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/27 binary64) (/.f64 (.f64 z z) (.f64 x (.f64 x (.f64 x y)))) (.f64 z (/.f64 #s(literal -1/9 binary64) (.f64 x x))))) (.f64 y y)) (/.f64 #s(literal -1/3 binary64) (.f64 x y))))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 z (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1/3 binary64) (.f64 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))))
(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (.f64 x (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal 1/3 binary64) (*.f64 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))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x (.f64 x (.f64 y (.f64 y y))))))) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(/ -1 z)
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(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))

eval564.0ms (8.8%)

Memory: 18.0MiB live, 709.4MiB allocated
Compiler: Compiled 93 202 to 3 170 computations (96.6% saved)

prune247.0ms (3.8%)

Memory

28.0MiB live, 517.5MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	2 526	4	2 530
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	2 529	8	2 537

Accuracy

100.0%

Counts

2 537 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	48.5%	(.f64 (.f64 x y) #s(literal 3 binary64))
▶	48.5%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	48.6%	(.f64 x (.f64 #s(literal 3 binary64) y))
▶	89.2%	(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
✓	53.9%	(neg.f64 z)
▶	2.0%	z

Compiler

Compiled 65 to 47 computations (27.7% saved)

simplify413.0ms (6.4%)

Memory

19.6MiB live, 438.1MiB 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 (.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	0	(/.f64 z x)
✓	cost-diff	0	(fma.f64 y #s(literal -3 binary64) (/.f64 z x))
✓	cost-diff	0	(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
✓	cost-diff	704	(*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x)))

Rules

5 720×	`accelerator-lowering-fma.f32`
5 720×	`accelerator-lowering-fma.f64`
2 800×	`-lowering-.f32`
2 800×	`-lowering-.f64`
2 304×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	39	56
2	99	55
3	215	55
4	329	51
5	598	51
6	1161	51
7	2550	51
8	3442	51
9	3857	51
10	4077	51
11	4158	51
12	4269	51
13	4677	51
14	5053	51
15	5205	51
16	5373	51
17	5457	51
18	5541	51
19	5625	51
20	5711	51
21	5817	51
22	7349	51
23	7421	51
0	8306	49

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize91.0ms (1.4%)

Memory

-48.6MiB live, 74.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.6%	(.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%	(/.f64 z x)
✓	accuracy	100.0%	(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
✓	accuracy	100.0%	(fma.f64 y #s(literal -3 binary64) (/.f64 z x))
✓	accuracy	89.3%	(*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x)))

Samples

71.0ms	232×	0	valid
2.0ms	11×	1	valid
2.0ms	8×	2	valid
1.0ms	4×	3	valid
0.0ms	1×	4	valid

Compiler

Compiled 55 to 16 computations (70.9% saved)

Precisions

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

ival-mult: 28.0ms (83.3% of total)

ival-div: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

-16.2MiB live, 22.2MiB allocated

Counts

8 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x (+ (* y -3) (/ z x)))
2.0ms	z	@	0	(* x (+ (* y -3) (/ z x)))
1.0ms	x	@	0	(* x (+ (* y -3) (/ z x)))
0.0ms	x	@	-inf	(* x (+ (* y -3) (/ z x)))
0.0ms	y	@	0	(* x (+ (* y -3) (/ z x)))

rewrite316.0ms (4.9%)

Memory

40.3MiB live, 506.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 276×	`accelerator-lowering-fma.f32`
5 276×	`accelerator-lowering-fma.f64`
4 478×	`-lowering-.f32`
4 478×	`-lowering-.f64`
2 022×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	58	45
2	411	40
3	5869	40
0	8947	38

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 406

Calls

Call 1

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

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

simplify283.0ms (4.4%)

Memory

-23.4MiB live, 377.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 498×	`accelerator-lowering-fma.f32`
4 498×	`accelerator-lowering-fma.f64`
2 766×	`-lowering-.f32`
2 766×	`-lowering-.f64`
1 646×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1082
1	207	1082
2	650	1082
3	1803	1082
4	4523	1082
5	5679	1082
6	6670	1082
7	7155	1082
8	7397	1082
9	7960	1082
0	8006	1028

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval90.0ms (1.4%)

Memory: -2.6MiB live, 189.1MiB allocated
Compiler: Compiled 10 794 to 1 045 computations (90.3% saved)

prune53.0ms (0.8%)

Memory

36.8MiB live, 155.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	622	0	622
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	622	8	630

Accuracy

100.0%

Counts

630 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	48.5%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	48.5%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	48.6%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	89.2%	(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
✓	53.9%	(neg.f64 z)
✓	2.0%	z

Compiler

Compiled 169 to 83 computations (50.9% saved)

regimes32.0ms (0.5%)

Memory

-31.9MiB live, 61.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	(*.f64 x #s(literal 3 binary64))
5.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes18.0ms (0.3%)

Memory

0.6MiB live, 39.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	z
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	y
3.0ms	x
3.0ms	(.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)

regimes15.0ms (0.2%)

Memory

8.1MiB live, 47.0MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
z
(neg.f64 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))

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

Calls

6 calls:

3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
75.0%	3	`x`
74.7%	3	`y`
74.2%	3	`z`
69.5%	3	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
79.0%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
75.0%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes12.0ms (0.2%)

Memory

-15.6MiB live, 24.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

6 calls:

3.0ms	y
2.0ms	x
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	z
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Results

Accuracy	Segments	Branch
53.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
53.9%	1	`z`
53.9%	1	`y`
53.9%	1	`x`
53.9%	1	`(*.f64 x #s(literal 3 binary64))`
53.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes8.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

6 calls:

1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
1.0ms	y
1.0ms	(*.f64 x #s(literal 3 binary64))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
2.0%	1	`x`
2.0%	1	`(*.f64 x #s(literal 3 binary64))`
2.0%	1	`y`
2.0%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
2.0%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
2.0%	1	`z`

Compiler

Compiled 36 to 27 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.093893498046115e+86	4.1591641582395614e+86
0.0ms	-3.6333640239944874e+117	-1.9686055524506248e+113

Compiler

Compiled 13 to 13 computations (0% saved)

simplify32.0ms (0.5%)

Memory

-12.2MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-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	18	41
1	31	41
2	34	41
3	35	41

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 400000000000000005852278092269949212388017195145862023711444314867918545700459286364160 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(neg.f64 z)
z

Outputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 y (.f64 x #s(literal 3 binary64))) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 400000000000000005852278092269949212388017195145862023711444314867918545700459286364160 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -2000000000000000101110855451990067628456474061606006558040962949444465527954170811648466754210124438504834226473402368 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 400000000000000005852278092269949212388017195145862023711444314867918545700459286364160 binary64)) (neg.f64 z) (.f64 x (.f64 y #s(literal 3 binary64)))))
(neg.f64 z)
z

soundness636.0ms (9.9%)

Memory

33.2MiB live, 376.5MiB allocated

Rules

11 252×	`accelerator-lowering-fma.f32`
11 252×	`accelerator-lowering-fma.f64`
6 458×	`accelerator-lowering-fma.f32`
6 458×	`accelerator-lowering-fma.f64`
4 368×	`-lowering-.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	25	84
1	127	84
2	898	77
0	9644	71
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

Compiler

Compiled 85 to 46 computations (45.9% saved)

preprocess77.0ms (1.2%)

Memory: -10.7MiB live, 188.2MiB allocated
Remove: (sort x y)
Compiler: Compiled 176 to 92 computations (47.7% 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%)

sample587.0ms (9.1%)

preprocess58.0ms (0.9%)

explain96.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.8%)

localize21.0ms (0.3%)

series6.0ms (0.1%)

rewrite483.0ms (7.5%)

simplify198.0ms (3.1%)

eval43.0ms (0.7%)

prune45.0ms (0.7%)

simplify869.0ms (13.5%)

localize88.0ms (1.4%)

series24.0ms (0.4%)

rewrite576.0ms (8.9%)

simplify397.0ms (6.2%)

eval564.0ms (8.8%)

prune247.0ms (3.8%)

simplify413.0ms (6.4%)

localize91.0ms (1.4%)

series11.0ms (0.2%)

rewrite316.0ms (4.9%)

simplify283.0ms (4.4%)

eval90.0ms (1.4%)

prune53.0ms (0.8%)

regimes32.0ms (0.5%)

regimes18.0ms (0.3%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

simplify32.0ms (0.5%)

soundness636.0ms (9.9%)

preprocess77.0ms (1.2%)

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