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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample561.0ms (12.1%)

Memory

23.3MiB live, 991.9MiB allocated

Samples

350.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 127.0ms (70.6% of total)

ival-sub: 41.0ms (22.8% of total)

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

exact: 4.0ms (2.2% of total)

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

Bogosity

preprocess400.0ms (8.6%)

Memory

10.2MiB live, 48.0MiB 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)

explain82.0ms (1.8%)

Memory

-33.2MiB live, 98.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (79.6% of total)

ival-sub: 2.0ms (14.5% 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
▶	99.9%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify20.0ms (0.4%)

Memory

32.3MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

304×	`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

localize22.0ms (0.5%)

Memory

-3.7MiB live, 34.2MiB 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 (62.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-25.4MiB live, 11.7MiB 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)
1.0ms	y	@	inf	(- (* (* x 3) y) z)
0.0ms	x	@	0	(- (* (* x 3) y) z)
0.0ms	x	@	inf	(- (* (* x 3) y) z)
0.0ms	z	@	0	(- (* (* x 3) y) z)

rewrite411.0ms (8.9%)

Memory

34.8MiB live, 541.7MiB 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)

simplify171.0ms (3.7%)

Memory

-1.4MiB live, 188.5MiB 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)

eval39.0ms (0.8%)

Memory: 19.8MiB live, 93.0MiB allocated
Compiler: Compiled 15 445 to 700 computations (95.5% saved)

prune48.0ms (1%)

Memory

-21.9MiB live, 95.9MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	322	6	328
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	322	7	329

Accuracy

100.0%

Counts

329 → 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))
▶	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
	31.3%	(-.f64 (/.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))) z)
▶	99.9%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	99.9%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
▶	50.2%	(.f64 x (.f64 #s(literal 3 binary64) y))
▶	51.0%	(neg.f64 z)

Compiler

Compiled 140 to 99 computations (29.3% saved)

simplify21.0ms (0.4%)

Memory

35.2MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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	(neg.f64 z)
✓	cost-diff	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
✓	cost-diff	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	cost-diff	(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)

Rules

304×	`lower-fma.f32`
300×	`lower-fma.f64`
224×	`lower-*.f32`
216×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	65
0	21	65
1	35	65
2	45	65
3	72	65
4	115	65
5	199	65
6	318	65
7	409	65
8	434	65
9	442	65
0	442	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize52.0ms (1.1%)

Memory

-4.1MiB live, 77.7MiB allocated

Localize:

Found 12 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 #s(literal 3 binary64) y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
✓	accuracy	99.7%	(.f64 (.f64 x y) #s(literal 3 binary64))

Samples

29.0ms

256×

valid

Compiler

Compiled 69 to 15 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 12.0ms (73.4% of total)

ival-add: 2.0ms (12.2% of total)

ival-sub: 1.0ms (6.1% of total)

ival-neg: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series81.0ms (1.7%)

Memory

-31.4MiB live, 7.4MiB allocated

Counts

8 → 204

Calls

Call 1

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

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

51 calls:

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

rewrite488.0ms (10.5%)

Memory

18.1MiB live, 585.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 862×	`lower-fma.f32`
6 858×	`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	12	39
0	21	39
1	70	39
2	372	35
3	4006	35
0	9206	35

Stop Event

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

Counts

8 → 641

Calls

Call 1

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

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

simplify243.0ms (5.2%)

Memory

-20.5MiB live, 228.6MiB 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	1038
1	118	1038
2	331	1038
3	833	1038
4	2352	1038
5	4041	1038
6	5990	1038
7	7425	1038
8	7937	1038
0	8002	1038

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 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))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(- (* 3 (* x y)) 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)
(- (* 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))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* 3 (* x y))
(.f64 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 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 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)
(* -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)
(* 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)
(* -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)

eval184.0ms (4%)

Memory: 17.9MiB live, 238.1MiB allocated
Compiler: Compiled 24 671 to 708 computations (97.1% saved)

prune63.0ms (1.4%)

Memory

11.5MiB live, 172.0MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	979	4	983
Fresh	1	0	1
Picked	1	4	5
Done	1	0	1
Total	982	8	990

Accuracy

100.0%

Counts

990 → 8

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))
▶	49.3%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
✓	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
▶	50.2%	(.f64 (.f64 x y) #s(literal 3 binary64))
▶	50.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	50.2%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	51.0%	(neg.f64 z)
▶	2.0%	z

Compiler

Compiled 62 to 45 computations (27.4% saved)

simplify6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB 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

localize35.0ms (0.8%)

Memory

-4.3MiB live, 72.0MiB 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

19.0ms

256×

valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (78.2% of total)

ival-add: 1.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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	z	@	0	(+ (* (* x y) 3) z)
0.0ms	x	@	inf	(+ (* (* x y) 3) z)
0.0ms	x	@	-inf	(+ (* (* x y) 3) z)
0.0ms	x	@	0	(+ (* (* x y) 3) z)
0.0ms	y	@	-inf	(+ (* (* x y) 3) z)

rewrite564.0ms (12.2%)

Memory

-5.7MiB live, 669.1MiB 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)))))
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(.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))))) (/.f64 #s(literal 1 binary64) (.f64 (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))))) (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 x #s(literal 3 binary64)) y z))
(.f64 (/.f64 #s(literal 1 binary64) (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 z (.f64 z z) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x y) #s(literal -3 binary64) z)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (*.f64 z z)))
(.f64 (fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 (*.f64 x y) #s(literal -3 binary64)))))
(.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))))) (/.f64 #s(literal 1 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 (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))))) (/.f64 #s(literal 1 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 (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))))) (/.f64 #s(literal 1 binary64) (.f64 (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 (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))))) (/.f64 #s(literal 1 binary64) (.f64 (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 (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))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y) (*.f64 z z)))))
(.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))))) (/.f64 #s(literal 1 binary64) (.f64 (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 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) y z)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (fma.f64 (.f64 x #s(literal 3 binary64)) y (neg.f64 z))) (.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)))))
(.f64 (neg.f64 (fma.f64 z z (.f64 #s(literal -9 binary64) (.f64 x (.f64 y (.f64 x y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z (.f64 (*.f64 x y) #s(literal -3 binary64))))))
(.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))))))

simplify165.0ms (3.6%)

Memory

-30.9MiB live, 260.5MiB 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)

eval79.0ms (1.7%)

Memory: 13.5MiB live, 85.9MiB allocated
Compiler: Compiled 10 271 to 500 computations (95.1% saved)

prune33.0ms (0.7%)

Memory

-11.0MiB live, 72.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	351	0	351
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	351	8	359

Accuracy

100.0%

Counts

359 → 8

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))
✓	49.3%	(fma.f64 (*.f64 x y) #s(literal 3 binary64) z)
✓	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
✓	50.2%	(.f64 (.f64 x y) #s(literal 3 binary64))
✓	50.2%	(.f64 (.f64 x #s(literal 3 binary64)) y)
✓	50.2%	(.f64 x (.f64 #s(literal 3 binary64) y))
✓	51.0%	(neg.f64 z)
✓	2.0%	z

Compiler

Compiled 136 to 71 computations (47.8% saved)

regimes26.0ms (0.6%)

Memory

29.6MiB live, 68.0MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

regimes18.0ms (0.4%)

Memory

2.4MiB live, 41.5MiB 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 y) #s(literal 3 binary64))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
75.5%	3	`x`
74.7%	3	`y`
76.7%	3	`z`
66.7%	3	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
83.2%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
75.5%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
83.2%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

-35.6MiB live, 5.6MiB 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:

4.0ms

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

Results

Accuracy	Segments	Branch
83.2%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
51.0%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
51.0%	1	`y`
51.0%	1	`x`
51.0%	1	`(*.f64 x #s(literal 3 binary64))`
51.0%	1	`z`
51.0%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes19.0ms (0.4%)

Memory

-17.3MiB live, 21.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

6 calls:

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

Results

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

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	2.5220685547637037e-81	7.958457284972952e-69
0.0ms	-1.1130997130737986e+57	-3.534860956628534e+55

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5220685547637037e-81	7.958457284972952e-69
0.0ms	-1.1130997130737986e+57	-3.534860956628534e+55

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5220685547637037e-81	7.958457284972952e-69
0.0ms	-1.1130997130737986e+57	-3.534860956628534e+55

Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	94
1	33	94
2	36	94
3	37	94

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1000000000000000048346692115553659057528394845890514255872 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (neg.f64 z) (.f64 (.f64 x y) #s(literal 3 binary64))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1000000000000000048346692115553659057528394845890514255872 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (neg.f64 z) (.f64 (.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1000000000000000048346692115553659057528394845890514255872 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(neg.f64 z)
z

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1000000000000000048346692115553659057528394845890514255872 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (neg.f64 z) (.f64 (.f64 x y) #s(literal 3 binary64))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1000000000000000048346692115553659057528394845890514255872 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (neg.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1000000000000000048346692115553659057528394845890514255872 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (neg.f64 z) (.f64 (.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -1000000000000000048346692115553659057528394845890514255872 binary64)) (.f64 x (.f64 #s(literal 3 binary64) y)) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 5339967589802275/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (neg.f64 z) (.f64 x (.f64 #s(literal 3 binary64) y))))
(neg.f64 z)
z

soundness711.0ms (15.3%)

Memory

-33.4MiB live, 311.3MiB allocated

Rules

6 862×	`lower-fma.f32`
6 858×	`lower-fma.f64`
5 524×	`lower-*.f32`
5 516×	`lower-*.f64`
3 582×	`lower-fma.f64`

Iterations

Useful iterations: 2 (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	12	39
0	21	39
1	70	39
2	372	35
3	4006	35
0	9206	35

Stop Event

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

Compiler

Compiled 182 to 87 computations (52.2% saved)

preprocess61.0ms (1.3%)

Memory: 12.8MiB live, 127.6MiB allocated
Compiler: Compiled 274 to 100 computations (63.5% 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	12	65
0	21	65
1	35	65
2	45	65
3	72	65
4	115	65
5	199	65
6	318	65
7	409	65
8	434	65
9	442	65
0	442	65

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	12	65
0	21	65
1	35	65
2	45	65
3	72	65
4	115	65
5	199	65
6	318	65
7	409	65
8	434	65
9	442	65
0	442	65

analyze0.0ms (0%)

sample561.0ms (12.1%)

preprocess400.0ms (8.6%)

explain82.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.4%)

localize22.0ms (0.5%)

series7.0ms (0.2%)

rewrite411.0ms (8.9%)

simplify171.0ms (3.7%)

eval39.0ms (0.8%)

prune48.0ms (1%)

simplify21.0ms (0.4%)

localize52.0ms (1.1%)

series81.0ms (1.7%)

rewrite488.0ms (10.5%)

simplify243.0ms (5.2%)

eval184.0ms (4%)

prune63.0ms (1.4%)

simplify6.0ms (0.1%)

localize35.0ms (0.8%)

series2.0ms (0%)

rewrite564.0ms (12.2%)

simplify165.0ms (3.6%)

eval79.0ms (1.7%)

prune33.0ms (0.7%)

regimes26.0ms (0.6%)

regimes18.0ms (0.4%)

regimes2.0ms (0.1%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes19.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

soundness711.0ms (15.3%)

preprocess61.0ms (1.3%)

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	12	65
0	21	65
1	35	65
2	45	65
3	72	65
4	115	65
5	199	65
6	318	65
7	409	65
8	434	65
9	442	65
0	442	65