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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample933.0ms (12.6%)

Memory

8.1MiB live, 984.6MiB allocated

Samples

762.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 551.0ms

ival-mult: 502.0ms (91% of total)

ival-sub: 37.0ms (6.7% of total)

ival-true: 5.0ms (0.9% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess52.0ms (0.7%)

Memory

3.3MiB live, 85.0MiB 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)

explain81.0ms (1.1%)

Memory

28.3MiB live, 105.6MiB 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

24.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-mult: 6.0ms (63.8% of total)

ival-sub: 2.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify30.0ms (0.4%)

Memory

-20.9MiB live, 16.6MiB 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

localize18.0ms (0.2%)

Memory

22.9MiB live, 22.9MiB 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	99.6%	(.f64 (.f64 x #s(literal 3 binary64)) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (64.5% of total)

ival-sub: 1.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-44.5MiB live, 7.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(* x 3)
1.0ms	y	@	inf	(- (* (* x 3) y) z)
0.0ms	x	@	inf	(- (* (* x 3) y) z)
0.0ms	x	@	0	(- (* (* x 3) y) z)
0.0ms	x	@	-inf	(* x 3)

rewrite444.0ms (6%)

Memory

34.9MiB live, 694.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 254

Calls

Call 1

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

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

simplify214.0ms (2.9%)

Memory

-3.3MiB live, 230.6MiB 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)

eval37.0ms (0.5%)

Memory: 23.0MiB live, 62.4MiB allocated
Compiler: Compiled 15 769 to 697 computations (95.6% saved)

prune38.0ms (0.5%)

Memory

-1.2MiB live, 74.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	322	4	326
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	322	5	327

Accuracy

100.0%

Counts

327 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 (.f64 y y) (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)))))
▶	99.8%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	48.8%	(.f64 x (.f64 #s(literal 3 binary64) y))
▶	53.4%	(neg.f64 z)

Compiler

Compiled 63 to 39 computations (38.1% saved)

simplify772.0ms (10.4%)

Memory

1.7MiB live, 829.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 y y) (fma.f64 (.f64 x #s(literal 3 binary64)) y z))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
✓	cost-diff	1408	(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 (.f64 y y) (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)))))
✓	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))
✓	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)

Rules

30 760×	`accelerator-lowering-fma.f32`
30 760×	`accelerator-lowering-fma.f64`
3 440×	`-lowering-.f32`
3 440×	`-lowering-.f64`
1 548×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	128
1	59	128
2	120	128
3	297	127
4	709	127
5	1576	127
6	3200	121
7	4513	121
8	5673	121
9	5762	121
10	5778	121
11	5781	121
12	6050	121
13	6107	121
14	6107	119
15	6845	119
16	7169	119
17	7171	119
18	7171	119
19	7171	119
20	7171	119
21	7171	119
22	7441	119
0	8249	114

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize71.0ms (1%)

Memory

-17.8MiB live, 113.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 z (/.f64 z (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))
✓	accuracy	95.6%	(/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))
✓	accuracy	77.3%	(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 (.f64 y y) (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)))))
✓	accuracy	74.5%	(/.f64 (.f64 y y) (fma.f64 (.f64 x #s(literal 3 binary64)) y z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.8%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.6%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	accuracy	100.0%	(neg.f64 z)

Samples

44.0ms

256×

valid

Compiler

Compiled 123 to 25 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 15.0ms (49.4% of total)

ival-add: 9.0ms (29.6% of total)

ival-div: 3.0ms (9.9% of total)

ival-neg: 2.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.4%)

Memory

7.0MiB live, 45.0MiB allocated

Counts

11 → 276

Calls

Call 1

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

Outputs
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 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 (* 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 (- (* 3 (* x y)) z)>
#<alt (- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)>
#<alt (- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -1 (/ z x)) (* 3 y)))>
#<alt (* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))>
#<alt (* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))>
#<alt (* -1 z)>
#<alt (- (* 3 (* x y)) z)>
#<alt (- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)>
#<alt (- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)>
#<alt (* 3 (* x y))>
#<alt (* y (+ (* -1 (/ z y)) (* 3 x)))>
#<alt (* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))>
#<alt (* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* y (+ (* -3 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))>
#<alt (* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) 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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))>
#<alt (* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ (pow y 2) z)>
#<alt (* (pow y 2) (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))>
#<alt (* (pow y 2) (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)))>
#<alt (* (pow y 2) (+ (* 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 (/ y x))>
#<alt (* y (+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))))>
#<alt (* y (- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* 1/9 (/ z (* (pow x 2) y)))))>
#<alt (* y (- (+ (* -1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) y))))))>
#<alt (* 1/3 (/ y x))>
#<alt (* -1 (* y (- (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* 1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -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)))))>
#<alt (/ (pow y 2) z)>
#<alt (+ (* -3 (/ (* x (pow y 3)) (pow z 2))) (/ (pow y 2) z))>
#<alt (+ (* x (- (* 9 (/ (* x (pow y 4)) (pow z 3))) (* 3 (/ (pow y 3) (pow z 2))))) (/ (pow y 2) z))>
#<alt (+ (* x (- (* x (- (* -27 (/ (* x (pow y 5)) (pow z 4))) (* -9 (/ (pow y 4) (pow z 3))))) (* 3 (/ (pow y 3) (pow z 2))))) (/ (pow y 2) z))>
#<alt (* 1/3 (/ y x))>
#<alt (/ (+ (* -1/9 (/ z x)) (* 1/3 y)) x)>
#<alt (/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 y)) (* 1/9 (/ z x))) x)>
#<alt (/ (- (+ (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 y)) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) y))) (* 1/9 (/ z x)))) x)>
#<alt (* 1/3 (/ y x))>
#<alt (* -1 (/ (+ (* -1/3 y) (* 1/9 (/ z x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x y))) (* 1/9 z)) x)) (* -1/3 y)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 2)))) (* 1/27 (/ (pow z 2) y))) x)) (* 1/9 z)) x)) (* -1/3 y)) x))>
#<alt (* 1/3 (/ y x))>
#<alt (+ (* -1/9 (/ z (pow x 2))) (* 1/3 (/ y x)))>
#<alt (+ (* 1/3 (/ y x)) (* z (- (* 1/27 (/ z (* (pow x 3) y))) (* 1/9 (/ 1 (pow x 2))))))>
#<alt (+ (* 1/3 (/ y x)) (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 2)))) (* 1/27 (/ 1 (* (pow x 3) y))))) (* 1/9 (/ 1 (pow x 2))))))>
#<alt (/ (pow y 2) z)>
#<alt (/ (+ (* -3 (/ (* x (pow y 3)) z)) (pow y 2)) z)>
#<alt (/ (- (+ (* 9 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (pow y 2)) (* 3 (/ (* x (pow y 3)) z))) z)>
#<alt (/ (- (+ (* -27 (/ (* (pow x 3) (pow y 5)) (pow z 3))) (pow y 2)) (+ (* -9 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 3 (/ (* x (pow y 3)) z)))) z)>
#<alt (/ (pow y 2) z)>
#<alt (* -1 (/ (+ (* -1 (pow y 2)) (* 3 (/ (* x (pow y 3)) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 4)) z)) (* 3 (* x (pow y 3)))) z)) (* -1 (pow y 2))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 5)) z)) (* 9 (* (pow x 2) (pow y 4)))) z)) (* 3 (* x (pow y 3)))) z)) (* -1 (pow y 2))) z))>
#<alt (* 1/3 (/ z (* x y)))>
#<alt (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))>
#<alt (* z (+ (* 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 (- (* 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>
#<alt (+ 1 (* -3 (/ (* x y) z)))>
#<alt (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))>
#<alt (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))>
#<alt 1>
#<alt (+ 1 (* -3 (/ (* x y) z)))>
#<alt (+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))>
#<alt 1>
#<alt (+ 1 (* -3 (/ (* x y) z)))>
#<alt (+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))>
#<alt (+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))>
#<alt (* 1/3 (/ z (* x y)))>
#<alt (/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)>
#<alt (/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)>
#<alt (* 1/3 (/ z (* x y)))>
#<alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))>
#<alt 1>
#<alt (+ 1 (* -3 (/ (* x y) z)))>
#<alt (+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))>
#<alt (+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))>
#<alt (* 1/3 (/ z (* x y)))>
#<alt (/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)>
#<alt (/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)>
#<alt (* 1/3 (/ z (* x y)))>
#<alt (* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))>
#<alt (* 1/3 (/ (pow z 2) (* x y)))>
#<alt (* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))>
#<alt (* (pow z 2) (+ (* 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 (* (pow z 2) (+ (* 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 z>
#<alt (* z (+ 1 (* -3 (/ (* x y) z))))>
#<alt (* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))>
#<alt (* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))>
#<alt z>
#<alt (* -1 (* z (- (* 3 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))>
#<alt z>
#<alt (+ z (* -3 (* x y)))>
#<alt (+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))>
#<alt (+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))>
#<alt (* 1/3 (/ (pow z 2) (* x y)))>
#<alt (/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)>
#<alt (/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)>
#<alt (* 1/3 (/ (pow z 2) (* x y)))>
#<alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))>
#<alt z>
#<alt (+ z (* -3 (* x y)))>
#<alt (+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))>
#<alt (+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))>
#<alt (* 1/3 (/ (pow z 2) (* x y)))>
#<alt (/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)>
#<alt (/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)>
#<alt (* 1/3 (/ (pow z 2) (* x y)))>
#<alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))>

Calls

69 calls:

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

rewrite990.0ms (13.3%)

Memory

-87.1MiB live, 624.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 218×	`accelerator-lowering-fma.f32`
7 218×	`accelerator-lowering-fma.f64`
4 968×	`-lowering-.f32`
4 968×	`-lowering-.f64`
2 076×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	66
1	113	66
2	847	65
0	10366	60

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 944

Calls

Call 1

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

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

simplify535.0ms (7.2%)

Memory

-5.9MiB live, 554.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 686×	`accelerator-lowering-fma.f32`
7 686×	`accelerator-lowering-fma.f64`
5 484×	`-lowering-.f32`
5 484×	`-lowering-.f64`
3 020×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	721	3773
1	2274	3469
2	7379	3416
0	8015	3263

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 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)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) 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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (pow y 2) z)
(* (pow y 2) (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
(* (pow y 2) (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(* (pow y 2) (+ (* 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 (/ y 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))) (+ (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/9 (/ z (* (pow x 2) y))))))
(* 1/3 (/ y x))
(* -1 (* y (- (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* 1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x)))))
(* -1 (* y (- (* -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)))))
(/ (pow y 2) z)
(+ (* -3 (/ (* x (pow y 3)) (pow z 2))) (/ (pow y 2) z))
(+ (* x (- (* 9 (/ (* x (pow y 4)) (pow z 3))) (* 3 (/ (pow y 3) (pow z 2))))) (/ (pow y 2) z))
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 5)) (pow z 4))) (* -9 (/ (pow y 4) (pow z 3))))) (* 3 (/ (pow y 3) (pow z 2))))) (/ (pow y 2) z))
(* 1/3 (/ y x))
(/ (+ (* -1/9 (/ z x)) (* 1/3 y)) x)
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 y)) (* 1/9 (/ z x))) x)
(/ (- (+ (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 y)) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) y))) (* 1/9 (/ z x)))) x)
(* 1/3 (/ y x))
(* -1 (/ (+ (* -1/3 y) (* 1/9 (/ z x))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x y))) (* 1/9 z)) x)) (* -1/3 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 2)))) (* 1/27 (/ (pow z 2) y))) x)) (* 1/9 z)) x)) (* -1/3 y)) x))
(* 1/3 (/ y x))
(+ (* -1/9 (/ z (pow x 2))) (* 1/3 (/ y x)))
(+ (* 1/3 (/ y x)) (* z (- (* 1/27 (/ z (* (pow x 3) y))) (* 1/9 (/ 1 (pow x 2))))))
(+ (* 1/3 (/ y x)) (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 2)))) (* 1/27 (/ 1 (* (pow x 3) y))))) (* 1/9 (/ 1 (pow x 2))))))
(/ (pow y 2) z)
(/ (+ (* -3 (/ (* x (pow y 3)) z)) (pow y 2)) z)
(/ (- (+ (* 9 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (pow y 2)) (* 3 (/ (* x (pow y 3)) z))) z)
(/ (- (+ (* -27 (/ (* (pow x 3) (pow y 5)) (pow z 3))) (pow y 2)) (+ (* -9 (/ (* (pow x 2) (pow y 4)) (pow z 2))) (* 3 (/ (* x (pow y 3)) z)))) z)
(/ (pow y 2) z)
(* -1 (/ (+ (* -1 (pow y 2)) (* 3 (/ (* x (pow y 3)) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 4)) z)) (* 3 (* x (pow y 3)))) z)) (* -1 (pow y 2))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 5)) z)) (* 9 (* (pow x 2) (pow y 4)))) z)) (* 3 (* x (pow y 3)))) z)) (* -1 (pow y 2))) z))
(* 1/3 (/ z (* x y)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* 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 (- (* 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
(+ 1 (* -3 (/ (* x y) z)))
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ z (* x y)))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(* 1/3 (/ z (* x y)))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* 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)))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
z
(+ z (* -3 (* x y)))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))

Outputs
(* -1 z)
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(* -1 z)
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(* 3 (* x y))
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(* 3 (* x y))
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(* 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))
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(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
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(* 3 (* x y))
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(* 3 (* x y))
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(* 3 (* x y))
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(* 3 (* x y))
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(* 3 (* x y))
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(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
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(* 3 (* x y))
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(* 3 (* x y))
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(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 y)
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(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
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(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
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(* 3 y)
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(* 3 y)
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(* -1 z)
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(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(* 3 (* x y))
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(* 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))))
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(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 z)
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(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 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)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (fma.f64 z (.f64 #s(literal -3 binary64) (.f64 x (/.f64 y z))) z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (fma.f64 z (.f64 #s(literal -3 binary64) (.f64 x (/.f64 y z))) z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (fma.f64 z (.f64 #s(literal -3 binary64) (.f64 x (/.f64 y z))) z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
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(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
(* -1 z)
(neg.f64 z)
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(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
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(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(* 3 (* x y))
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(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
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(* 3 (* x y))
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(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(.f64 (-.f64 (.f64 y #s(literal -3 binary64)) (/.f64 z (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(.f64 (-.f64 (.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) z) x)) (neg.f64 x))
(* -1 z)
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(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
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(* 3 (* x y))
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(* 1/3 (/ (pow z 2) (* x y)))
(.f64 #s(literal 1/3 binary64) (.f64 z (/.f64 z (*.f64 x y))))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(.f64 (.f64 z z) (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))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(.f64 z (.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/27 binary64) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 x x)))))) (/.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 y y))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))))
(* (pow z 2) (+ (* 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)))))
(.f64 (.f64 z z) (fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/81 binary64) (/.f64 z (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/27 binary64) (.f64 y (.f64 y (.f64 y (.f64 x (.f64 x x))))))) (/.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 (* -3 (/ (* x y) z))))
(fma.f64 z (.f64 #s(literal -3 binary64) (.f64 x (/.f64 y z))) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(+.f64 z (.f64 z (/.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (.f64 (.f64 x x) (/.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) z))) z)))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(.f64 z (-.f64 (fma.f64 (.f64 #s(literal -27 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal -9 binary64) (.f64 y y)) z) (.f64 #s(literal 3 binary64) (*.f64 x y))) z)))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(neg.f64 (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (.f64 (.f64 x x) (/.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) z))) z)) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(neg.f64 (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (/.f64 (fma.f64 (.f64 y (.f64 y (.f64 y (.f64 x (.f64 x x))))) (/.f64 #s(literal 27 binary64) z) (.f64 (.f64 y y) (.f64 #s(literal -9 binary64) (*.f64 x x)))) (neg.f64 z))) z))))
z
(+ z (* -3 (* x y)))
(fma.f64 x (*.f64 y #s(literal -3 binary64)) z)
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(fma.f64 x (fma.f64 x (/.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) z) (*.f64 y #s(literal -3 binary64))) z)
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 x (fma.f64 x (fma.f64 (/.f64 (.f64 y y) z) #s(literal 9 binary64) (/.f64 (.f64 #s(literal -27 binary64) (.f64 x (.f64 y (.f64 y y)))) (.f64 z z))) (*.f64 y #s(literal -3 binary64))) z)
(* 1/3 (/ (pow z 2) (* x y)))
(.f64 #s(literal 1/3 binary64) (.f64 z (/.f64 z (*.f64 x y))))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) y) (/.f64 (.f64 #s(literal -1/9 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 y y)))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 y y))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) y) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/27 binary64)) (.f64 x (.f64 x (.f64 y (.f64 y y))))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(/.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) y) (/.f64 (.f64 #s(literal -1/81 binary64) (pow.f64 z #s(literal 5 binary64))) (.f64 x (.f64 x (.f64 x (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 #s(literal 1/9 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 y y))) (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 x (.f64 x (.f64 y (.f64 y y))))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(.f64 #s(literal 1/3 binary64) (.f64 z (/.f64 z (*.f64 x y))))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 y y))) (/.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) y)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) y) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 y (.f64 y y))))) (/.f64 (.f64 #s(literal -1/9 binary64) (.f64 z (.f64 z z))) (.f64 x (*.f64 y y))))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) y) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 y y)) (/.f64 (fma.f64 #s(literal -1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y (.f64 y y))) (/.f64 (.f64 #s(literal 1/81 binary64) (pow.f64 z #s(literal 5 binary64))) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (neg.f64 x))) x)) (neg.f64 x))
z
(+ z (* -3 (* x y)))
(fma.f64 x (*.f64 y #s(literal -3 binary64)) z)
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(fma.f64 y (fma.f64 y (.f64 #s(literal 9 binary64) (/.f64 (.f64 x x) z)) (*.f64 x #s(literal -3 binary64))) z)
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 9 binary64) (/.f64 (.f64 x x) z) (/.f64 (.f64 #s(literal -27 binary64) (.f64 y (.f64 x (.f64 x x)))) (.f64 z z))) (*.f64 x #s(literal -3 binary64))) z)
(* 1/3 (/ (pow z 2) (* x y)))
(.f64 #s(literal 1/3 binary64) (.f64 z (/.f64 z (*.f64 x y))))
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) y) (/.f64 (.f64 #s(literal -1/9 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 y y)))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x y))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) x)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(/.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (.f64 y y) (.f64 y (pow.f64 x #s(literal 4 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 z z) x)) (fma.f64 #s(literal 1/9 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x y))) (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 x (.f64 x x)))))))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(.f64 #s(literal 1/3 binary64) (.f64 z (/.f64 z (*.f64 x y))))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x y))) (/.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) x)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) x) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (/.f64 (.f64 #s(literal -1/9 binary64) (.f64 z (.f64 z z))) (.f64 x (*.f64 x y))))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (.f64 z (.f64 z z))) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 1/81 binary64) (pow.f64 z #s(literal 5 binary64))) (.f64 y (pow.f64 x #s(literal 4 binary64))))) y)) y)) (neg.f64 y))

eval223.0ms (3%)

Memory: 3.4MiB live, 343.0MiB allocated
Compiler: Compiled 47 556 to 2 301 computations (95.2% saved)

prune138.0ms (1.9%)

Memory

34.3MiB live, 266.7MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 245	5	1 250
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1 246	9	1 255

Accuracy

100.0%

Counts

1 255 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
▶	47.6%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	48.8%	(.f64 (.f64 x y) #s(literal 3 binary64))
▶	48.8%	(.f64 (.f64 x #s(literal 3 binary64)) y)
▶	87.7%	(.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
✓	48.8%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	53.4%	(neg.f64 z)
▶	2.1%	z

Compiler

Compiled 117 to 84 computations (28.2% saved)

simplify248.0ms (3.3%)

Memory

-43.5MiB live, 270.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
✓	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 y z)
✓	cost-diff	0	(*.f64 x (/.f64 y z))
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))
✓	cost-diff	896	(.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64)))

Rules

3 326×	`accelerator-lowering-fma.f32`
3 326×	`accelerator-lowering-fma.f64`
3 124×	`-lowering-.f32`
3 124×	`-lowering-.f64`
3 054×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	37	70
2	65	70
3	140	70
4	231	66
5	370	66
6	909	66
7	2689	66
8	4737	66
9	7714	66
0	8281	64

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize75.0ms (1%)

Memory

-13.5MiB live, 64.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
✓	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	99.6%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	99.9%	(fma.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))
✓	accuracy	92.6%	(.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
✓	accuracy	91.9%	(*.f64 x (/.f64 y z))

Samples

32.0ms

256×

valid

Compiler

Compiled 69 to 17 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (50% of total)

ival-add: 7.0ms (35% of total)

ival-div: 2.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

9 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite383.0ms (5.2%)

Memory

-9.3MiB live, 741.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 888×	`accelerator-lowering-fma.f32`
8 888×	`accelerator-lowering-fma.f64`
5 728×	`-lowering-.f32`
5 728×	`-lowering-.f64`
1 972×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	69	51
2	454	51
3	5047	47
0	8871	45

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 500

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (neg.f64 z))
(+.f64 (neg.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 #s(literal 0 binary64) (+.f64 z (.f64 (.f64 x y) #s(literal -3 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(-.f64 (/.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))))))
(-.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64)) z)
(fma.f64 z (.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z)) (neg.f64 z))
(fma.f64 z #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(fma.f64 x (.f64 (/.f64 y z) (.f64 z #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 x (.f64 (/.f64 (.f64 #s(literal 3 binary64) y) z) z) (neg.f64 z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) (neg.f64 z))
(fma.f64 y (.f64 (/.f64 x z) (.f64 z #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (/.f64 y z) (.f64 z (.f64 #s(literal 3 binary64) x)) (neg.f64 z))
(fma.f64 (/.f64 y z) (.f64 x (.f64 z #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (/.f64 (.f64 x y) z) (.f64 z #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z)) z (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z (.f64 #s(literal 3 binary64) (.f64 x y)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64) (neg.f64 z))
(fma.f64 (.f64 z (.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 #s(literal 1 binary64) z) (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(fma.f64 (.f64 z (.f64 #s(literal 3 binary64) x)) (/.f64 y z) (neg.f64 z))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) y) z) (.f64 x z) (neg.f64 z))
(fma.f64 (.f64 z #s(literal 3 binary64)) (/.f64 (.f64 x y) z) (neg.f64 z))
(fma.f64 (.f64 z x) (/.f64 (.f64 #s(literal 3 binary64) y) z) (neg.f64 z))
(fma.f64 (.f64 z (/.f64 (.f64 #s(literal 3 binary64) y) z)) x (neg.f64 z))
(fma.f64 (.f64 (.f64 z #s(literal 3 binary64)) y) (/.f64 x z) (neg.f64 z))
(fma.f64 (.f64 (.f64 z #s(literal 3 binary64)) (/.f64 y z)) x (neg.f64 z))
(fma.f64 (.f64 (.f64 z (*.f64 #s(literal 3 binary64) x)) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z) (neg.f64 z))
(fma.f64 (.f64 (.f64 z (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (/.f64 y z) (neg.f64 z))
(fma.f64 (.f64 (.f64 z (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) z)) y (neg.f64 z))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 y)) (neg.f64 z))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) (neg.f64 z))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (neg.f64 z))
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) (neg.f64 z))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))) (neg.f64 z))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 z))
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (-.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 x y) z) (-.f64 (/.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) z) #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 z (fma.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (.f64 z (*.f64 z z)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64))))) (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y y) y) (.f64 z (.f64 z z)))))
(/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y y) y) (.f64 z (.f64 z z))) (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y y) y) (.f64 z (.f64 z z))) (fma.f64 z z (-.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (.f64 z (.f64 (.f64 x y) #s(literal -3 binary64))))))
(/.f64 (-.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (.f64 z z)) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y y) y) (.f64 z (.f64 z z)))) (neg.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))))))
(/.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (fma.f64 (.f64 x y) #s(literal -3 binary64) z)) (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))
(/.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (fma.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64))) (*.f64 z z))))))
(/.f64 (fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x (.f64 y (.f64 x y))))) (-.f64 (neg.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y))))
(/.f64 (-.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (.f64 z (.f64 z (.f64 z z)))) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (fma.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64))) (*.f64 z z))))
(/.f64 (.f64 z (fma.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (.f64 z (.f64 z z)))) #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 x y) z) (-.f64 (/.f64 (.f64 (*.f64 x y) #s(literal 9 binary64)) z) #s(literal -3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 z (fma.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (.f64 z (.f64 z z)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 (.f64 x y) z) (-.f64 (/.f64 (.f64 (*.f64 x y) #s(literal 9 binary64)) z) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 x y) z) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 z (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (.f64 z (.f64 z z)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 (.f64 x y) z) (-.f64 (/.f64 (.f64 (*.f64 x y) #s(literal 9 binary64)) z) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 z (neg.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 x y) z) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (.f64 z z)))) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x y) z) #s(literal -3 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (.f64 z (.f64 z z)))) #s(literal -1 binary64))) z) (neg.f64 (fma.f64 (/.f64 (.f64 x y) z) (-.f64 (/.f64 (.f64 (*.f64 x y) #s(literal 9 binary64)) z) #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) #s(literal -1 binary64))) z) (fma.f64 (/.f64 (.f64 x y) z) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (.f64 z z))) z) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x y) z) #s(literal -3 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (.f64 z z)) (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y y) y) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z) (*.f64 z z))))
(/.f64 (/.f64 (-.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (.f64 z z)) (-.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (.f64 z z))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) #s(literal -3 binary64) z)))
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (-.f64 (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64)))) (.f64 z z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (.f64 x y) z) (-.f64 (/.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) z) #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 z (fma.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (.f64 z (*.f64 z z)))) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (.f64 x (.f64 y (.f64 (.f64 x y) #s(literal 9 binary64))))) (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y y) y) (.f64 z (.f64 z z)))) #s(literal -1 binary64))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)) z)
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 y y) y) (.f64 z (.f64 z z)))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x y) z) (-.f64 (/.f64 (.f64 (.f64 x y) #s(literal 9 binary64)) z) #s(literal -3 binary64)) #s(literal 1 binary64))) z))
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simplify322.0ms (4.3%)

Memory

35.7MiB live, 500.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 530×	`accelerator-lowering-fma.f32`
6 530×	`accelerator-lowering-fma.f64`
3 576×	`-lowering-.f32`
3 576×	`-lowering-.f64`
1 546×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1349
1	221	1322
2	670	1322
3	1583	1322
4	3501	1322
5	6311	1322
6	7930	1322
0	8002	1268

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval96.0ms (1.3%)

Memory: -1.0MiB live, 193.4MiB allocated
Compiler: Compiled 13 273 to 1 168 computations (91.2% saved)

prune127.0ms (1.7%)

Memory

-37.5MiB live, 146.5MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	791	1	792
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	792	9	801

Accuracy

100.0%

Counts

801 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	47.6%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	41.5%	(.f64 (/.f64 (.f64 x y) z) (*.f64 z #s(literal 3 binary64)))
✓	48.8%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	48.8%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	48.8%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	53.4%	(neg.f64 z)
✓	2.1%	z

Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify153.0ms (2.1%)

Memory

24.6MiB live, 218.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	1024	(.f64 (/.f64 (.f64 x y) z) (*.f64 z #s(literal 3 binary64)))

Rules

4 960×	`-lowering-.f32`
4 960×	`-lowering-.f64`
2 850×	`associate-/r/`
2 292×	`associate-/r*`
2 118×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	17	24
2	46	24
3	127	20
4	234	20
5	495	20
6	985	20
7	3237	20
8	3250	20
9	3256	20
10	3260	20
11	3260	20
12	4710	20
13	5209	20
14	6132	20
15	7087	20
16	7572	20
17	7754	20
0	8019	20

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize26.0ms (0.4%)

Memory

6.1MiB live, 39.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	92.5%	(/.f64 (*.f64 x y) z)
✓	accuracy	87.1%	(.f64 (/.f64 (.f64 x y) z) (*.f64 z #s(literal 3 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (60.3% of total)

ival-div: 2.0ms (30.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite177.0ms (2.4%)

Memory

1.7MiB live, 197.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 388×	`/-lowering-/.f32`
2 388×	`/-lowering-/.f64`
2 240×	`-lowering-.f32`
2 240×	`-lowering-.f64`
1 412×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	25	20
2	127	16
3	738	16
0	5328	16

Stop Event

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

Counts

4 → 326

Calls

Call 1

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

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

simplify58.0ms (0.8%)

Memory

-14.0MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`-lowering-.f32`
36×	`-lowering-.f64`
16×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	468
1	15	468
2	25	468
3	28	468
0	28	468

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

Calls

Call 1

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

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

eval50.0ms (0.7%)

Memory: 1.7MiB live, 112.4MiB allocated
Compiler: Compiled 5 430 to 901 computations (83.4% saved)

prune64.0ms (0.9%)

Memory

-11.9MiB live, 126.6MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	434	0	434
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	434	9	443

Accuracy

100.0%

Counts

443 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	47.6%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
✓	41.5%	(.f64 (/.f64 (.f64 x y) z) (*.f64 z #s(literal 3 binary64)))
✓	48.8%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	48.8%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	48.8%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	53.4%	(neg.f64 z)
✓	2.1%	z

Compiler

Compiled 161 to 85 computations (47.2% saved)

regimes25.0ms (0.3%)

Memory

21.0MiB live, 59.8MiB 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))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(.f64 (/.f64 (.f64 x y) z) (*.f64 z #s(literal 3 binary64)))
(.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 (.f64 y y) (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:

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

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)

regimes21.0ms (0.3%)

Memory

7.1MiB live, 45.9MiB allocated

Counts

7 → 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))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

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

Calls

6 calls:

6.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)
3.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	z
3.0ms	x
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

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)

regimes18.0ms (0.2%)

Memory

-24.0MiB live, 54.2MiB allocated

Counts

6 → 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))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
79.8%	3	`x`
72.9%	3	`y`
73.6%	3	`z`
68.9%	5	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
82.2%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
79.8%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
82.2%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes34.0ms (0.5%)

Memory

-12.0MiB live, 27.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

6 calls:

25.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	y
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
53.4%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
53.4%	1	`y`
53.4%	1	`z`
53.4%	1	`x`
53.4%	1	`(*.f64 x #s(literal 3 binary64))`
53.4%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes8.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB 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 x #s(literal 3 binary64))
1.0ms	z
1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
2.1%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
2.1%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
2.1%	1	`y`
2.1%	1	`z`
2.1%	1	`x`
2.1%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.751336643689662e-9	0.3163935108913426
0.0ms	-1.6334242477597388e-133	-1.206813445917007e-135

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.751336643689662e-9	0.3163935108913426
0.0ms	-1.6334242477597388e-133	-1.206813445917007e-135

Compiler

Compiled 13 to 13 computations (0% saved)

simplify48.0ms (0.6%)

Memory

-20.9MiB live, 19.6MiB 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	19	69
1	32	69
2	35	69
3	36	69

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 -2557336412418861/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) y) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 3022314549036573/302231454903657293676544 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -2557336412418861/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 3022314549036573/302231454903657293676544 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 -2557336412418861/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) y) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 3022314549036573/302231454903657293676544 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -2557336412418861/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) (.f64 y (.f64 x #s(literal 3 binary64))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 3022314549036573/302231454903657293676544 binary64)) (neg.f64 z) (.f64 x (.f64 y #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -2557336412418861/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 3022314549036573/302231454903657293676544 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -2557336412418861/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 3022314549036573/302231454903657293676544 binary64)) (neg.f64 z) (.f64 x (.f64 y #s(literal 3 binary64)))))
(neg.f64 z)
z

soundness725.0ms (9.8%)

Memory

3.4MiB live, 404.6MiB allocated

Rules

11 252×	`accelerator-lowering-fma.f32`
11 252×	`accelerator-lowering-fma.f64`
7 218×	`accelerator-lowering-fma.f32`
7 218×	`accelerator-lowering-fma.f64`
4 968×	`-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	23	66
1	113	66
2	847	65
0	10366	60
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 142 to 69 computations (51.4% saved)

preprocess129.0ms (1.7%)

Memory: -4.3MiB live, 151.3MiB allocated
Remove: (sort x y)
Compiler: Compiled 232 to 94 computations (59.5% 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%)

sample933.0ms (12.6%)

preprocess52.0ms (0.7%)

explain81.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.4%)

localize18.0ms (0.2%)

series17.0ms (0.2%)

rewrite444.0ms (6%)

simplify214.0ms (2.9%)

eval37.0ms (0.5%)

prune38.0ms (0.5%)

simplify772.0ms (10.4%)

localize71.0ms (1%)

series28.0ms (0.4%)

rewrite990.0ms (13.3%)

simplify535.0ms (7.2%)

eval223.0ms (3%)

prune138.0ms (1.9%)

simplify248.0ms (3.3%)

localize75.0ms (1%)

series11.0ms (0.1%)

rewrite383.0ms (5.2%)

simplify322.0ms (4.3%)

eval96.0ms (1.3%)

prune127.0ms (1.7%)

simplify153.0ms (2.1%)

localize26.0ms (0.4%)

series2.0ms (0%)

rewrite177.0ms (2.4%)

simplify58.0ms (0.8%)

eval50.0ms (0.7%)

prune64.0ms (0.9%)

regimes25.0ms (0.3%)

regimes21.0ms (0.3%)

regimes18.0ms (0.2%)

regimes2.0ms (0%)

regimes34.0ms (0.5%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify48.0ms (0.6%)

soundness725.0ms (9.8%)

preprocess129.0ms (1.7%)

end0.0ms (0%)

Profiling

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