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)

sample839.0ms (16.8%)

Memory

-123.7MiB live, 803.1MiB allocated

Samples

629.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-mult: 355.0ms (81.8% of total)

ival-sub: 65.0ms (15% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess54.0ms (1.1%)

Memory

-5.0MiB live, 71.7MiB allocated

Algorithm

1×	egg-herbie

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
174×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	69
1	69	63
2	165	63
3	407	63
4	772	63
5	970	63
6	1030	63
7	1030	63
0	7	7
0	10	7
1	16	7
2	28	7
3	36	7
4	63	7
5	106	7
6	190	7
7	312	7
8	404	7
9	429	7
10	437	7
0	437	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain104.0ms (2.1%)

Memory

-16.7MiB live, 102.3MiB 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: 10.0ms

ival-mult: 7.0ms (69.7% of total)

ival-sub: 2.0ms (19.9% 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

1.3MiB live, 1.3MiB 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)

simplify23.0ms (0.5%)

Memory

-3.9MiB live, 33.8MiB 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×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.4%)

Memory

33.8MiB live, 33.8MiB 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

12.0ms

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 (58.6% of total)

ival-sub: 1.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

-23.5MiB live, 14.3MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) y)>
#<alt (*.f64 x #s(literal 3 binary64))>

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
2.0ms	x	@	0	(- (* (* x 3) y) z)
1.0ms	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)

rewrite848.0ms (17%)

Memory

-12.1MiB live, 680.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
4 312×	`lower-*.f32`
4 308×	`lower-*.f64`
3 816×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	28	15
2	184	15
3	1862	15
0	8723	15

Stop Event

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

Counts

3 → 256

Calls

Call 1

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

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

simplify190.0ms (3.8%)

Memory

4.9MiB live, 239.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 582×	`lower-fma.f64`
3 582×	`lower-fma.f32`
2 750×	`lower-*.f64`
2 750×	`lower-*.f32`
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)

eval38.0ms (0.8%)

Memory: -6.1MiB live, 72.0MiB allocated
Compiler: Compiled 15 445 to 700 computations (95.5% saved)

prune37.0ms (0.7%)

Memory

8.3MiB live, 85.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	324	4	328
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	324	5	329

Accuracy

100.0%

Counts

329 → 5

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))
▶	99.9%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	49.5%	(.f64 x (.f64 #s(literal 3 binary64) y))
▶	51.9%	(neg.f64 z)

Compiler

Compiled 43 to 31 computations (27.9% saved)

simplify22.0ms (0.4%)

Memory

3.9MiB live, 42.4MiB 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×	`lower-fma.f32`
302×	`lower-fma.f64`
224×	`lower-*.f32`
216×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	30	49
2	40	49
3	67	49
4	110	49
5	194	49
6	313	49
7	404	49
8	429	49
9	437	49
0	437	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.7%)

Memory

-10.6MiB live, 71.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.8%	(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

23.0ms

256×

valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (50.5% of total)

ival-add: 3.0ms (25.3% of total)

ival-sub: 1.0ms (8.4% of total)

ival-neg: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

7 → 168

Calls

Call 1

Inputs
#<alt (neg.f64 z)>
#<alt (.f64 x (.f64 #s(literal 3 binary64) y))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)>
#<alt (.f64 (.f64 x y) #s(literal 3 binary64))>
#<alt (*.f64 x y)>
#<alt (fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 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	(* x y)
0.0ms	x	@	-inf	(* x y)
0.0ms	x	@	inf	(* x (* 3 y))
0.0ms	y	@	inf	(* x (* 3 y))
0.0ms	x	@	0	(* x (* 3 y))

rewrite737.0ms (14.8%)

Memory

-11.8MiB live, 430.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 862×	`lower-fma.f32`
6 860×	`lower-fma.f64`
5 524×	`lower-*.f32`
5 516×	`lower-*.f64`
2 280×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	18	32
1	52	32
2	354	29
3	3984	29
0	9193	29

Stop Event

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

Counts

7 → 471

Calls

Call 1

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

simplify230.0ms (4.6%)

Memory

26.1MiB live, 257.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 582×	`lower-fma.f64`
3 582×	`lower-fma.f32`
2 734×	`lower-*.f64`
2 734×	`lower-*.f32`
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)

eval82.0ms (1.6%)

Memory: -1.9MiB live, 197.9MiB allocated
Compiler: Compiled 16 848 to 671 computations (96% saved)

prune53.0ms (1.1%)

Memory

-17.1MiB live, 140.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	710	4	714
Fresh	0	0	0
Picked	1	3	4
Done	1	0	1
Total	712	7	719

Accuracy

100.0%

Counts

719 → 7

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))
▶	48.5%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
▶	49.5%	(.f64 (.f64 x y) #s(literal 3 binary64))
▶	49.5%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	49.5%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	51.9%	(neg.f64 z)
▶	2.2%	z

Compiler

Compiled 52 to 38 computations (26.9% saved)

simplify5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
✓	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×	`lower-*.f32`
16×	`lower-*.f64`
12×	`lower-fma.f32`
10×	`*-commutative`
10×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	14	36
1	23	36
2	25	36
0	25	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.6%)

Memory

-27.7MiB live, 53.8MiB allocated

Localize:

Found 6 expressions of interest:

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

20.0ms

256×

valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

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

ival-mult: 9.0ms (87.4% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (.f64 (.f64 x #s(literal 3 binary64)) y)>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (.f64 (.f64 x y) #s(literal 3 binary64))>
#<alt (*.f64 x y)>
#<alt (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)>

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)>
#<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

30 calls:

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

rewrite454.0ms (9.1%)

Memory

39.7MiB live, 621.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 570×	`lower-fma.f32`
12 568×	`lower-fma.f64`
4 308×	`lower-*.f32`
4 300×	`lower-*.f64`
3 986×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
0	14	22
1	35	22
2	181	22
3	1784	22
0	8287	22

Stop Event

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

Counts

5 → 209

Calls

Call 1

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

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

simplify172.0ms (3.4%)

Memory

-13.6MiB live, 215.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 244×	`lower-fma.f64`
3 244×	`lower-fma.f32`
2 282×	`lower-*.f64`
2 282×	`lower-*.f32`
1 628×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	566
1	114	566
2	312	566
3	836	566
4	2138	566
5	4850	566
6	7064	566
7	7893	566
0	8082	539

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 116

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)
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))
(* 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)

eval68.0ms (1.4%)

Memory: 22.4MiB live, 59.3MiB allocated
Compiler: Compiled 10 271 to 500 computations (95.1% saved)

prune47.0ms (0.9%)

Memory

-11.3MiB live, 49.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	351	0	351
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	351	7	358

Accuracy

100.0%

Counts

358 → 7

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))
✓	48.5%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
✓	49.5%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	49.5%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	49.5%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	51.9%	(neg.f64 z)
✓	2.2%	z

Compiler

Compiled 100 to 53 computations (47% saved)

regimes23.0ms (0.5%)

Memory

0.2MiB live, 38.9MiB allocated

Counts

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

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

Calls

6 calls:

5.0ms	(*.f64 x #s(literal 3 binary64))
4.0ms	x
3.0ms	z
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)

regimes19.0ms (0.4%)

Memory

-1.8MiB live, 36.4MiB 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:

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

Results

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

Compiler

Compiled 36 to 27 computations (25% saved)

regimes18.0ms (0.4%)

Memory

-4.7MiB live, 33.7MiB 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 x (.f64 #s(literal 3 binary64) y))
(neg.f64 z)
(.f64 (.f64 x #s(literal 3 binary64)) y)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
77.0%	3	`x`
75.8%	3	`y`
72.4%	3	`z`
67.4%	3	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
81.3%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
77.0%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB 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
81.3%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.2%)

Memory

-17.8MiB live, 22.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

6 calls:

4.0ms	x
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	z
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	y

Results

Accuracy	Segments	Branch
51.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
51.9%	1	`z`
51.9%	1	`y`
51.9%	1	`x`
51.9%	1	`(*.f64 x #s(literal 3 binary64))`
51.9%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes8.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
2.2%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
2.2%	1	`y`
2.2%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
2.2%	1	`z`
2.2%	1	`x`
2.2%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0212776095781468e+46	4.844234735664025e+52
0.0ms	-5102676102398.1	-1670016443.7791317

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	2.0212776095781468e+46	4.844234735664025e+52
0.0ms	-5102676102398.1	-1670016443.7791317

Compiler

Compiled 13 to 13 computations (0% saved)

simplify9.0ms (0.2%)

Memory

-23.8MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	73
1	33	73
2	37	73
3	38	73

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.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 -5000000000000 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 39999999999999999725592761437880851790636777472 binary64)) (neg.f64 z) (.f64 (.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -5000000000000 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 39999999999999999725592761437880851790636777472 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(neg.f64 z)
z

Outputs
(-.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 -5000000000000 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 39999999999999999725592761437880851790636777472 binary64)) (neg.f64 z) (.f64 (.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -5000000000000 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 39999999999999999725592761437880851790636777472 binary64)) (neg.f64 z) (.f64 y (.f64 x #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -5000000000000 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 39999999999999999725592761437880851790636777472 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -5000000000000 binary64)) (.f64 x (.f64 y #s(literal 3 binary64))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 39999999999999999725592761437880851790636777472 binary64)) (neg.f64 z) (.f64 x (.f64 y #s(literal 3 binary64)))))
(neg.f64 z)
z

soundness689.0ms (13.8%)

Memory

18.4MiB live, 401.2MiB allocated

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
6 862×	`lower-fma.f32`
6 860×	`lower-fma.f64`
5 524×	`lower-*.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
0	18	32
1	52	32
2	354	29
3	3984	29
0	9193	29
0	7	15
0	10	15
1	28	15
2	184	15
3	1862	15
0	8723	15

Stop Event

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

Compiler

Compiled 142 to 71 computations (50% saved)

preprocess92.0ms (1.8%)

Memory: 0.1MiB live, 157.1MiB allocated
Remove: (sort x y)
Compiler: Compiled 232 to 98 computations (57.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Iter	Nodes	Cost
0	11	49
0	18	49
1	30	49
2	40	49
3	67	49
4	110	49
5	194	49
6	313	49
7	404	49
8	429	49
9	437	49
0	437	49

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Iter	Nodes	Cost
0	11	49
0	18	49
1	30	49
2	40	49
3	67	49
4	110	49
5	194	49
6	313	49
7	404	49
8	429	49
9	437	49
0	437	49

analyze0.0ms (0%)

sample839.0ms (16.8%)

preprocess54.0ms (1.1%)

explain104.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.5%)

localize19.0ms (0.4%)

series8.0ms (0.2%)

rewrite848.0ms (17%)

simplify190.0ms (3.8%)

eval38.0ms (0.8%)

prune37.0ms (0.7%)

simplify22.0ms (0.4%)

localize37.0ms (0.7%)

series10.0ms (0.2%)

rewrite737.0ms (14.8%)

simplify230.0ms (4.6%)

eval82.0ms (1.6%)

prune53.0ms (1.1%)

simplify5.0ms (0.1%)

localize31.0ms (0.6%)

series7.0ms (0.1%)

rewrite454.0ms (9.1%)

simplify172.0ms (3.4%)

eval68.0ms (1.4%)

prune47.0ms (0.9%)

regimes23.0ms (0.5%)

regimes19.0ms (0.4%)

regimes18.0ms (0.4%)

regimes2.0ms (0%)

regimes12.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness689.0ms (13.8%)

preprocess92.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Iter	Nodes	Cost
0	11	49
0	18	49
1	30	49
2	40	49
3	67	49
4	110	49
5	194	49
6	313	49
7	404	49
8	429	49
9	437	49
0	437	49