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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample796.0ms (17.9%)

Memory

-140.1MiB live, 741.9MiB allocated

Samples

378.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult: 108.0ms (59% of total)

ival-sub: 62.0ms (33.9% of total)

ival-true: 6.0ms (3.3% of total)

exact: 4.0ms (2.2% of total)

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

Bogosity

preprocess56.0ms (1.3%)

Memory

-32.9MiB live, 59.1MiB 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)

explain69.0ms (1.6%)

Memory

8.6MiB live, 126.8MiB 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

25.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-mult: 6.0ms (61% of total)

ival-sub: 2.0ms (20.3% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify18.0ms (0.4%)

Memory

27.8MiB live, 27.8MiB 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

localize55.0ms (1.2%)

Memory

-14.4MiB live, 23.6MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

46.0ms

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 (62.6% of total)

ival-sub: 1.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite842.0ms (19%)

Memory

10.8MiB live, 708.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 254

Calls

Call 1

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

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

simplify182.0ms (4.1%)

Memory

16.1MiB live, 289.7MiB 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)

eval39.0ms (0.9%)

Memory: -21.8MiB live, 77.4MiB allocated
Compiler: Compiled 15 769 to 697 computations (95.6% saved)

prune56.0ms (1.3%)

Memory

-9.1MiB live, 68.4MiB 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
▶	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
▶	99.9%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	99.9%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	49.1%	(.f64 x (.f64 #s(literal 3 binary64) y))
▶	53.5%	(neg.f64 z)

Compiler

Compiled 43 to 31 computations (27.9% saved)

simplify22.0ms (0.5%)

Memory

-0.7MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(neg.f64 z)
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	cost-diff	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	cost-diff	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	cost-diff	(neg.f64 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	11	49
1	23	49
2	33	49
3	60	49
4	103	49
5	187	49
6	307	49
7	399	49
8	424	49
9	432	49
0	432	49

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize38.0ms (0.9%)

Memory

-12.0MiB live, 70.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	accuracy	99.7%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	accuracy	100.0%	(neg.f64 z)

Samples

21.0ms

256×

valid

Compiler

Compiled 51 to 13 computations (74.5% saved)

Precisions

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

ival-mult: 6.0ms (60.2% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

ival-neg: 1.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

7 → 168

Calls

Call 1

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

Calls

42 calls:

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

rewrite780.0ms (17.6%)

Memory

4.4MiB live, 484.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 862×	`accelerator-lowering-fma.f32`
6 862×	`accelerator-lowering-fma.f64`
5 524×	`-lowering-.f32`
5 524×	`-lowering-.f64`
2 280×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	45	32
2	347	31
3	3973	31
0	9158	29

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 471

Calls

Call 1

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

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

simplify198.0ms (4.5%)

Memory

15.8MiB live, 210.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 582×	`accelerator-lowering-fma.f32`
3 582×	`accelerator-lowering-fma.f64`
2 734×	`-lowering-.f32`
2 734×	`-lowering-.f64`
1 558×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	816
1	118	816
2	331	816
3	833	816
4	2361	816
5	4086	816
6	6030	816
7	7459	816
8	7975	816
0	8028	816

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

eval75.0ms (1.7%)

Memory: 24.5MiB live, 176.7MiB allocated
Compiler: Compiled 16 848 to 664 computations (96.1% saved)

prune65.0ms (1.5%)

Memory

-32.8MiB live, 125.7MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	711	3	714
Fresh	0	0	0
Picked	1	3	4
Done	1	0	1
Total	713	6	719

Accuracy

100.0%

Counts

719 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
▶	49.1%	(.f64 (.f64 x y) #s(literal 3 binary64))
▶	49.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	49.1%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	53.5%	(neg.f64 z)
▶	2.0%	z

Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	16	23
2	18	23
0	18	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize61.0ms (1.4%)

Memory

9.1MiB live, 48.4MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

53.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 44.0ms (99.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite15.0ms (0.3%)

Memory

-30.2MiB live, 19.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	15	16
2	17	16
0	17	16

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 16

Calls

Call 1

Inputs
(* (* x 3) y)
(* x 3)
(* (* x y) 3)
(* x y)

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

simplify9.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
8×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	348
1	10	348
2	16	348
3	17	348
0	17	348

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

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)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* 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)
(* 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)
(*.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)

eval15.0ms (0.3%)

Memory: -18.2MiB live, 20.7MiB allocated
Compiler: Compiled 503 to 17 computations (96.6% saved)

prune4.0ms (0.1%)

Memory

13.2MiB live, 13.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	100	6	106

Accuracy

100.0%

Counts

106 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
✓	49.1%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	49.1%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	49.1%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	53.5%	(neg.f64 z)
✓	2.0%	z

Compiler

Compiled 85 to 46 computations (45.9% saved)

regimes21.0ms (0.5%)

Memory

17.9MiB live, 56.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 36 to 27 computations (25% saved)

regimes22.0ms (0.5%)

Memory

-25.8MiB live, 54.0MiB 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))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)

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

Calls

6 calls:

6.0ms	x
4.0ms	(*.f64 x #s(literal 3 binary64))
3.0ms	z
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
3.0ms	y

Results

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

Compiler

Compiled 36 to 27 computations (25% saved)

regimes18.0ms (0.4%)

Memory

-1.0MiB live, 37.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 36 to 27 computations (25% saved)

regimes15.0ms (0.3%)

Memory

34.4MiB live, 34.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
79.0%	3	`x`
79.7%	3	`y`
69.7%	3	`z`
72.5%	3	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
84.9%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
79.0%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes5.0ms (0.1%)

Memory

-31.1MiB live, 5.6MiB allocated

Counts

4 → 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)

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
84.9%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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
84.9%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
53.5%	1	`z`
53.5%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
53.5%	1	`x`
53.5%	1	`(*.f64 x #s(literal 3 binary64))`
53.5%	1	`y`
53.5%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes11.0ms (0.2%)

Memory

-15.6MiB live, 21.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

6 calls:

3.0ms	(.f64 (.f64 x #s(literal 3 binary64)) y)
1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
1.0ms	x
1.0ms	(*.f64 x #s(literal 3 binary64))
1.0ms	y

Results

Accuracy	Segments	Branch
2.0%	1	`z`
2.0%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
2.0%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
2.0%	1	`y`
2.0%	1	`x`
2.0%	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	6.218116069812248e+111	1.4575316118295147e+118
0.0ms	-1.8717342144204616e-51	-8.096140604895081e-60

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	6.218116069812248e+111	1.4575316118295147e+118
0.0ms	-1.8717342144204616e-51	-8.096140604895081e-60

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	6.218116069812248e+111	1.4575316118295147e+118
0.0ms	-1.8717342144204616e-51	-8.096140604895081e-60

Compiler

Compiled 13 to 13 computations (0% saved)

simplify9.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	100
1	40	100
2	44	100
3	45	100

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) y) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (neg.f64 z) (.f64 (.f64 x y) #s(literal 3 binary64))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) y) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (neg.f64 z) (.f64 (.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 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 y) #s(literal 3 binary64)) 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 -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) y) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (neg.f64 z) (.f64 (.f64 x y) #s(literal 3 binary64))))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 y (.f64 x #s(literal 3 binary64))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (neg.f64 z) (.f64 (.f64 x y) #s(literal 3 binary64))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) y) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (neg.f64 z) (.f64 (.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 y (.f64 x #s(literal 3 binary64))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (neg.f64 z) (.f64 y (.f64 x #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (neg.f64 z) (.f64 x (.f64 y #s(literal 3 binary64)))))
(neg.f64 z)
z

soundness847.0ms (19.1%)

Memory

-12.4MiB live, 424.9MiB allocated

Rules

11 252×	`accelerator-lowering-fma.f32`
11 252×	`accelerator-lowering-fma.f64`
6 862×	`accelerator-lowering-fma.f32`
6 862×	`accelerator-lowering-fma.f64`
5 524×	`-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	11	32
1	45	32
2	347	31
3	3973	31
0	9158	29
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 216 to 103 computations (52.3% saved)

preprocess72.0ms (1.6%)

Memory: 9.2MiB live, 124.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 302 to 104 computations (65.6% 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	11	49
1	23	49
2	33	49
3	60	49
4	103	49
5	187	49
6	307	49
7	399	49
8	424	49
9	432	49
0	432	49

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	11	49
1	23	49
2	33	49
3	60	49
4	103	49
5	187	49
6	307	49
7	399	49
8	424	49
9	432	49
0	432	49

analyze0.0ms (0%)

sample796.0ms (17.9%)

preprocess56.0ms (1.3%)

explain69.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.4%)

localize55.0ms (1.2%)

series6.0ms (0.1%)

rewrite842.0ms (19%)

simplify182.0ms (4.1%)

eval39.0ms (0.9%)

prune56.0ms (1.3%)

simplify22.0ms (0.5%)

localize38.0ms (0.9%)

series3.0ms (0.1%)

rewrite780.0ms (17.6%)

simplify198.0ms (4.5%)

eval75.0ms (1.7%)

prune65.0ms (1.5%)

simplify4.0ms (0.1%)

localize61.0ms (1.4%)

series1.0ms (0%)

rewrite15.0ms (0.3%)

simplify9.0ms (0.2%)

eval15.0ms (0.3%)

prune4.0ms (0.1%)

regimes21.0ms (0.5%)

regimes22.0ms (0.5%)

regimes18.0ms (0.4%)

regimes15.0ms (0.3%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness847.0ms (19.1%)

preprocess72.0ms (1.6%)

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

Iter	Nodes	Cost
0	11	49
1	23	49
2	33	49
3	60	49
4	103	49
5	187	49
6	307	49
7	399	49
8	424	49
9	432	49
0	432	49