Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, C

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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 11 to 10 computations (9.1% saved)

sample783.0ms (11.8%)

Memory

43.4MiB live, 1 211.4MiB allocated

Samples

475.0ms	7 981×	0	valid
44.0ms	180×	1	valid
10.0ms	95×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-mult: 120.0ms (50% of total)

ival-add: 100.0ms (41.6% of total)

adjust: 6.0ms (2.5% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess97.0ms (1.5%)

Memory

-31.3MiB live, 60.8MiB allocated

Algorithm

1×	egg-herbie

Rules

350×	`distribute-rgt-in`
336×	`sub-neg`
322×	`unsub-neg`
242×	`distribute-lft-in`
206×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	104	81
2	293	81
3	664	81
4	1489	81
5	2275	81
6	2481	81
7	2542	81
8	2542	81
0	8	9
0	12	9
1	22	9
2	33	9
3	41	9
4	44	9
0	44	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Outputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
(fma.f64 x (+.f64 y z) (*.f64 z #s(literal 5 binary64)))

explain95.0ms (1.4%)

Memory

26.7MiB live, 210.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`
0	-	-	`(+.f64 y z)`
0	-	-	`y`
0	-	-	`#s(literal 5 binary64)`
0	-	-	`(*.f64 z #s(literal 5 binary64))`
0	-	-	`z`
0	-	-	`(*.f64 x (+.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`	nan-rescue	1	0
↳	`(*.f64 x (+.f64 y z))`	overflow	53
↳	`(*.f64 z #s(literal 5 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	502×	0	valid
3.0ms	4×	2	valid
1.0ms	6×	1	valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 7.0ms (47.3% of total)

ival-mult: 6.0ms (40.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

-22.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal 5 binary64))
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(*.f64 x (+.f64 y z))
✓	cost-diff	128	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Rules

44×	`lower-fma.f64`
44×	`lower-fma.f32`
32×	`lower-+.f32`
28×	`lower-+.f64`
20×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	22	24
2	33	24
3	41	24
4	44	24
0	44	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z
(*.f64 z #s(literal 5 binary64))
#s(literal 5 binary64)

Outputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
(fma.f64 x (+.f64 y z) (*.f64 z #s(literal 5 binary64)))
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
z
(*.f64 z #s(literal 5 binary64))
#s(literal 5 binary64)

localize264.0ms (4%)

Memory

-91.9MiB live, 69.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 z #s(literal 5 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	99.7%	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Samples

13.0ms	251×	0	valid
0.0ms	3×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-add: 3.0ms (47.9% of total)

ival-mult: 3.0ms (47.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-18.7MiB live, 21.4MiB allocated

Counts

4 → 108

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (+.f64 y z)>
#<alt (*.f64 z #s(literal 5 binary64))>

Outputs
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y z))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(+ (* x (+ y z)) (* z 5))
1.0ms	y	@	inf	(+ (* x (+ y z)) (* z 5))
1.0ms	x	@	0	(* x (+ y z))
1.0ms	x	@	inf	(+ (* x (+ y z)) (* z 5))
0.0ms	z	@	inf	(+ (* x (+ y z)) (* z 5))

rewrite348.0ms (5.2%)

Memory

-6.5MiB live, 562.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 700×	`lower-fma.f64`
5 700×	`lower-fma.f32`
4 854×	`lower-*.f32`
4 850×	`lower-*.f64`
2 878×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	47	20
2	377	20
3	4441	20
0	8615	19

Stop Event

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

Counts

4 → 225

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
(*.f64 x (+.f64 y z))
(+.f64 y z)
(*.f64 z #s(literal 5 binary64))

Outputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
(+.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 y z)))
(+.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 5 binary64))))
(+.f64 (.f64 x z) (fma.f64 x y (.f64 z #s(literal 5 binary64))))
(+.f64 (/.f64 (.f64 (+.f64 y z) (.f64 x (.f64 x (+.f64 y z)))) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (*.f64 x (+.f64 y z)))))))
(+.f64 (fma.f64 x y (.f64 z #s(literal 5 binary64))) (.f64 x z))
(+.f64 (.f64 z (+.f64 x #s(literal 5 binary64))) (.f64 x y))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y z) (.f64 z #s(literal 5 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (+.f64 y z) (.f64 x (.f64 x (+.f64 y z)))) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (*.f64 x (+.f64 y z))))))
(-.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (-.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 y z)))) (/.f64 (.f64 (+.f64 y z) (.f64 x (.f64 x (+.f64 y z)))) (-.f64 (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 y z)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(fma.f64 x z (fma.f64 x y (*.f64 z #s(literal 5 binary64))))
(fma.f64 x (+.f64 y z) (*.f64 z #s(literal 5 binary64)))
(fma.f64 x (/.f64 (.f64 x (.f64 (+.f64 y z) (+.f64 y z))) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))))))
(fma.f64 y x (*.f64 z (+.f64 x #s(literal 5 binary64))))
(fma.f64 z x (fma.f64 x y (*.f64 z #s(literal 5 binary64))))
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
(fma.f64 z (exp.f64 (log.f64 #s(literal 5 binary64))) (*.f64 x (+.f64 y z)))
(fma.f64 (+.f64 y z) x (*.f64 z #s(literal 5 binary64)))
(fma.f64 (+.f64 y z) (/.f64 (.f64 x (.f64 x (+.f64 y z))) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))))))
(fma.f64 (.f64 x (+.f64 y z)) (/.f64 (.f64 x (+.f64 y z)) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))))))
(fma.f64 #s(literal 5 binary64) z (*.f64 x (+.f64 y z)))
(fma.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 z (-.f64 z y)))) x) (.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 x (fma.f64 y y (.f64 z (-.f64 z y)))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (+.f64 y z) (.f64 x (.f64 x (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (*.f64 x (+.f64 y z)))))))
(fma.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) x) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 x (-.f64 y z)) (.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x z) (-.f64 (.f64 x z) (.f64 x y)) (.f64 (.f64 y y) (.f64 x x)))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 y z) (+.f64 y z)) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))))))
(fma.f64 (.f64 (+.f64 y z) (+.f64 y z)) (/.f64 (.f64 x x) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))))))
(fma.f64 (.f64 x (.f64 x (+.f64 y z))) (/.f64 (+.f64 y z) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))))))
(fma.f64 (.f64 x (.f64 (+.f64 y z) (+.f64 y z))) (/.f64 x (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))))))
(fma.f64 (.f64 x (fma.f64 y (.f64 y y) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 z (-.f64 z y)))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (+.f64 y z) (.f64 (-.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (fma.f64 y (.f64 y y) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z (-.f64 z y)) (.f64 (.f64 z (-.f64 z y)) (.f64 z (-.f64 z y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 x (fma.f64 y (.f64 y y) (.f64 z (.f64 z z)))) (.f64 (fma.f64 y y (.f64 z (-.f64 z y))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 (+.f64 y z) (.f64 (-.f64 y z) x)) (.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 (+.f64 y z) (.f64 (-.f64 y z) x)) (.f64 (fma.f64 z (+.f64 y z) (.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 y z) (.f64 y y)) (.f64 z #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 (+.f64 y z) (.f64 x (.f64 x (+.f64 y z)))) (fma.f64 x (.f64 x (.f64 (+.f64 y z) (+.f64 y z))) (.f64 (.f64 z z) #s(literal -25 binary64)))) (fma.f64 x (+.f64 y z) (.f64 z #s(literal 5 binary64))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (*.f64 x (+.f64 y z)))))))
(fma.f64 (/.f64 (.f64 (+.f64 y z) (.f64 x (.f64 x (+.f64 y z)))) (fma.f64 x (.f64 (+.f64 y z) (.f64 (+.f64 y z) (.f64 x (.f64 x (+.f64 y z))))) (.f64 (.f64 z (.f64 z z)) #s(literal -125 binary64)))) (fma.f64 x (.f64 x (.f64 (+.f64 y z) (+.f64 y z))) (.f64 z (fma.f64 z #s(literal 25 binary64) (.f64 (.f64 x (+.f64 y z)) #s(literal 5 binary64))))) (neg.f64 (.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 z #s(literal -5 binary64) (.f64 x (+.f64 y z)))))))
(fma.f64 (exp.f64 (log.f64 (+.f64 y z))) (exp.f64 (log.f64 x)) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (+.f64 y z))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 5 binary64))) z (*.f64 x (+.f64 y z)))
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(.f64 (neg.f64 (.f64 (+.f64 y z) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y z))))
(*.f64 #s(literal 1 binary64) (+.f64 y z))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 z (-.f64 z y)))) (fma.f64 y (.f64 y y) (.f64 z (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (.f64 (+.f64 y z) (-.f64 y z)))
(.f64 (.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (fma.f64 (.f64 z (-.f64 z y)) (.f64 (.f64 z (-.f64 z y)) (.f64 z (-.f64 z y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (.f64 (fma.f64 y y (.f64 z (-.f64 z y))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))))) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))))
(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 (fma.f64 z (+.f64 y z) (.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 y z) (*.f64 y y)))
(exp.f64 (log.f64 (*.f64 z #s(literal 5 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 5 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal 5 binary64))
(*.f64 z (exp.f64 (log.f64 #s(literal 5 binary64))))
(*.f64 #s(literal 5 binary64) z)
(*.f64 (exp.f64 (log.f64 #s(literal 5 binary64))) z)

simplify282.0ms (4.3%)

Memory

22.1MiB live, 333.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 696×	`lower-fma.f64`
7 696×	`lower-fma.f32`
2 630×	`lower-*.f64`
2 630×	`lower-*.f32`
1 854×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	544
1	256	544
2	735	544
3	2128	544
4	4453	544
5	6472	544
6	7867	544
0	8249	517

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 102

Calls

Call 1

Inputs
(* 5 z)
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(* x (+ y z))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y z))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(+ (* 5 z) (* x z))
(+ (* 5 z) (+ (* x y) (* x z)))
(+ (* 5 z) (+ (* x y) (* x z)))
(+ (* 5 z) (+ (* x y) (* x z)))
(* x y)
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* x y)
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(* z (+ 5 x))
(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 (+ x (/ (* x y) z))))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)

Outputs
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(+ (* 5 z) (* x (+ y z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(+ (* 5 z) (+ (* x y) (* x z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (+ (* x y) (* x z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* 5 z) (+ (* x y) (* x z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ 5 x)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* z (+ 5 x))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x (+ y z))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 z y))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(+ (* x y) (* x z))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 z y))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 z y))
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* 5 z)
(*.f64 #s(literal 5 binary64) z)

eval41.0ms (0.6%)

Memory: -6.0MiB live, 80.4MiB allocated
Compiler: Compiled 8 237 to 751 computations (90.9% saved)

prune37.0ms (0.6%)

Memory

-25.6MiB live, 90.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	319	8	327
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	8	328

Accuracy

100.0%

Counts

328 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
▶	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
	63.4%	(+.f64 (.f64 z x) (.f64 z #s(literal 5 binary64)))
▶	75.2%	(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
	63.8%	(*.f64 z (+.f64 #s(literal 5 binary64) x))
▶	63.6%	(*.f64 x (+.f64 z y))
	39.2%	(*.f64 x y)
▶	38.2%	(*.f64 #s(literal 5 binary64) z)

Compiler

Compiled 140 to 96 computations (31.4% saved)

simplify6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 x #s(literal 5 binary64))
✓	cost-diff	0	(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
✓	cost-diff	0	(*.f64 z #s(literal 5 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
✓	cost-diff	0	(+.f64 z y)
✓	cost-diff	0	(*.f64 x (+.f64 z y))
✓	cost-diff	0	(*.f64 #s(literal 5 binary64) z)
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(*.f64 x (+.f64 y z))
✓	cost-diff	0	(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))

Rules

44×	`lower-fma.f32`
40×	`lower-fma.f64`
32×	`lower-+.f32`
24×	`lower-+.f64`
20×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
0	27	71
1	45	71
2	51	71
0	51	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
z
#s(literal 5 binary64)
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
(*.f64 #s(literal 5 binary64) z)
#s(literal 5 binary64)
z
(*.f64 x (+.f64 z y))
x
(+.f64 z y)
z
y
(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
(*.f64 x y)
x
y
(*.f64 z #s(literal 5 binary64))
z
#s(literal 5 binary64)
(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
z
(+.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(*.f64 x y)
y

Outputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
z
#s(literal 5 binary64)
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
x
(+.f64 y z)
(+.f64 z y)
y
(*.f64 #s(literal 5 binary64) z)
(*.f64 z #s(literal 5 binary64))
#s(literal 5 binary64)
z
(*.f64 x (+.f64 z y))
x
(+.f64 z y)
z
y
(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 z #s(literal 5 binary64))
z
#s(literal 5 binary64)
(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
z
(+.f64 x #s(literal 5 binary64))
(+.f64 #s(literal 5 binary64) x)
x
#s(literal 5 binary64)
(*.f64 x y)
y

localize54.0ms (0.8%)

Memory

16.6MiB live, 97.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 5 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.0%	(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z #s(literal 5 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
✓	accuracy	100.0%	(+.f64 z y)
✓	accuracy	100.0%	(*.f64 x (+.f64 z y))
✓	accuracy	100.0%	(*.f64 #s(literal 5 binary64) z)
✓	accuracy	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))

Samples

28.0ms	243×	0	valid
1.0ms	4×	3	valid
1.0ms	5×	1	valid
1.0ms	3×	2	valid
0.0ms	1×	4	valid

Compiler

Compiled 75 to 18 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (53.3% of total)

ival-add: 7.0ms (41.4% of total)

adjust: 1.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

-19.8MiB live, 18.8MiB allocated

Counts

11 → 288

Calls

Call 1

Inputs
#<alt (fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))>
#<alt (*.f64 x (+.f64 y z))>
#<alt (+.f64 y z)>
#<alt (*.f64 #s(literal 5 binary64) z)>
#<alt (*.f64 x (+.f64 z y))>
#<alt (+.f64 z y)>
#<alt (+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))>
#<alt (*.f64 x y)>
#<alt (*.f64 z #s(literal 5 binary64))>
#<alt (fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))>
#<alt (+.f64 x #s(literal 5 binary64))>

Outputs
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y z))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (+ (* 5 z) (+ (* x y) (* x z)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 5 (/ z x))))>
#<alt (* x (+ y (* 5 (/ z x))))>
#<alt (* x (+ y (* 5 (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 5 (/ z y))))>
#<alt (* y (+ x (* 5 (/ z y))))>
#<alt (* y (+ x (* 5 (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (* 5 z)>
#<alt (* z (+ 5 (/ (* x y) z)))>
#<alt (* z (+ 5 (/ (* x y) z)))>
#<alt (* z (+ 5 (/ (* x y) z)))>
#<alt (* 5 z)>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 5)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 5)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 5)))>
#<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 (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* 5 z)>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 (+ x (/ (* x y) z))))>
#<alt (* z (+ 5 x))>
#<alt (* -1 (* z (+ (* -1 (+ 5 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 5 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 5 x)) (* -1 (/ (* x y) z)))))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (+ (* 5 z) (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* x (+ y (+ z (* 5 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 z))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (+ (* -1 y) (* -1 z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (+ (* -1 y) (* -1 z)))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (+ (* -1 y) (* -1 z)))))>
#<alt (* z (+ 5 x))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (+ (* x y) (* z (+ 5 x)))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (+ 5 x)) y)))>
#<alt (* y (+ x (/ (* z (+ 5 x)) y)))>
#<alt (* y (+ x (/ (* z (+ 5 x)) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 5 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 5 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 5 x)) y)))))>
#<alt 5>
#<alt (+ 5 x)>
#<alt (+ 5 x)>
#<alt (+ 5 x)>
#<alt x>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(* x y)
1.0ms	x	@	0	(+ (* z (+ x 5)) (* x y))
0.0ms	z	@	-inf	(+ (* z (+ x 5)) (* x y))
0.0ms	z	@	0	(+ (* z (+ x 5)) (* x y))
0.0ms	y	@	inf	(+ (* x y) (* z 5))

rewrite433.0ms (6.5%)

Memory

19.9MiB live, 610.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 292×	`lower-fma.f32`
13 288×	`lower-fma.f64`
5 956×	`lower-*.f32`
5 948×	`lower-*.f64`
3 556×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
0	27	51
1	112	51
2	913	51
0	8496	50

Stop Event

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

Counts

11 → 576

Calls

Call 1

Inputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 y z))
(+.f64 y z)
(*.f64 #s(literal 5 binary64) z)
(*.f64 x (+.f64 z y))
(+.f64 z y)
(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
(*.f64 x y)
(*.f64 z #s(literal 5 binary64))
(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
(+.f64 x #s(literal 5 binary64))

Outputs
(+.f64 (.f64 x (+.f64 z y)) (.f64 z #s(literal 5 binary64)))
(+.f64 (.f64 x y) (.f64 z (+.f64 #s(literal 5 binary64) x)))
(+.f64 (.f64 z #s(literal 5 binary64)) (.f64 x (+.f64 z y)))
(+.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (.f64 z x))
(+.f64 (.f64 z (+.f64 #s(literal 5 binary64) x)) (.f64 x y))
(+.f64 (.f64 z x) (fma.f64 z #s(literal 5 binary64) (.f64 x y)))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 5 binary64) x) (.f64 z (.f64 z (+.f64 #s(literal 5 binary64) x)))) (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y))))))
(+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (.f64 x (neg.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (*.f64 x (neg.f64 y))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y (.f64 z #s(literal -5 binary64)))) (-.f64 (/.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (fma.f64 x y (.f64 z #s(literal -5 binary64)))) (.f64 z x)))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 5 binary64) x) (.f64 z (.f64 z (+.f64 #s(literal 5 binary64) x)))) (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y)))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y)))))
(-.f64 (/.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (.f64 x (neg.f64 y)))) (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (*.f64 x (neg.f64 y)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (.f64 z (+.f64 #s(literal 5 binary64) x)))) (/.f64 (.f64 (+.f64 #s(literal 5 binary64) x) (.f64 z (.f64 z (+.f64 #s(literal 5 binary64) x)))) (-.f64 (.f64 x y) (.f64 z (+.f64 #s(literal 5 binary64) x)))))
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (fma.f64 x (+.f64 z y) (.f64 z #s(literal -5 binary64)))) (/.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (fma.f64 x (+.f64 z y) (*.f64 z #s(literal -5 binary64)))))
(-.f64 (fma.f64 z x (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y (.f64 z #s(literal -5 binary64))))) (/.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (fma.f64 x y (*.f64 z #s(literal -5 binary64)))))
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 z y)))
(fma.f64 z x (fma.f64 z #s(literal 5 binary64) (*.f64 x y)))
(fma.f64 z (+.f64 #s(literal 5 binary64) x) (*.f64 x y))
(fma.f64 #s(literal 5 binary64) z (*.f64 x (+.f64 z y)))
(fma.f64 x z (fma.f64 z #s(literal 5 binary64) (*.f64 x y)))
(fma.f64 x y (*.f64 z (+.f64 #s(literal 5 binary64) x)))
(fma.f64 x (+.f64 z y) (*.f64 z #s(literal 5 binary64)))
(fma.f64 y x (*.f64 z (+.f64 #s(literal 5 binary64) x)))
(fma.f64 (+.f64 z y) x (*.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (.f64 (fma.f64 x y (.f64 z #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z #s(literal -5 binary64))))) (*.f64 z x))
(fma.f64 (+.f64 #s(literal 5 binary64) x) z (*.f64 x y))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 25 binary64) (fma.f64 x #s(literal -5 binary64) (.f64 x x)))) z) (.f64 x y))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))) x) (.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (.f64 y y))) x) (.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 z (.f64 (.f64 z z) #s(literal 125 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 #s(literal 5 binary64) (fma.f64 z #s(literal 5 binary64) (.f64 x (neg.f64 y)))) (.f64 x (.f64 x (.f64 y y))))) (*.f64 z x))
(fma.f64 (fma.f64 z (.f64 (.f64 z z) #s(literal 125 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x y) (fma.f64 x y (.f64 z #s(literal -5 binary64)))))) (.f64 z x))
(fma.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (.f64 x (neg.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (*.f64 x (neg.f64 y))))))
(fma.f64 (fma.f64 z (.f64 #s(literal 5 binary64) (fma.f64 z #s(literal 5 binary64) (.f64 x (neg.f64 y)))) (.f64 x (.f64 x (.f64 y y)))) (.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 #s(literal 5 binary64) (fma.f64 z #s(literal 5 binary64) (.f64 x (neg.f64 y)))) (.f64 x (.f64 x (.f64 y y)))))) (*.f64 z x))
(fma.f64 (.f64 (+.f64 #s(literal 5 binary64) x) (.f64 z (.f64 z (+.f64 #s(literal 5 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y))))))
(fma.f64 (.f64 (+.f64 z y) (-.f64 z y)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 x x #s(literal -25 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -5 binary64))) z) (.f64 x y))
(fma.f64 (.f64 (+.f64 z y) (-.f64 y z)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) x) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 z z) #s(literal -25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z #s(literal -5 binary64)))) (.f64 z x))
(fma.f64 (neg.f64 (fma.f64 z (.f64 (.f64 z z) #s(literal 125 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (.f64 #s(literal 5 binary64) (fma.f64 z #s(literal 5 binary64) (.f64 x (neg.f64 y)))) (.f64 x (.f64 x (.f64 y y)))))) (*.f64 z x))
(fma.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 z z) #s(literal -25 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (.f64 z #s(literal -5 binary64))))) (.f64 z x))
(fma.f64 (.f64 (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 z x) (.f64 x (-.f64 z y)))) (.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 z x) (.f64 x (-.f64 z y))))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 (fma.f64 z (.f64 x (.f64 z x)) (.f64 (.f64 x y) (.f64 x (-.f64 y z)))) (.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 x (.f64 z x)) (.f64 (.f64 x y) (.f64 x (-.f64 y z))))) (*.f64 z #s(literal 5 binary64)))
(fma.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)) (.f64 (.f64 z (.f64 z z)) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 x (.f64 z x)) (.f64 (.f64 z #s(literal 5 binary64)) (.f64 z (-.f64 #s(literal 5 binary64) x))))) (*.f64 x y))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (.f64 x (neg.f64 y)))) (/.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (.f64 x (neg.f64 y))))) (.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (.f64 x (neg.f64 y)))) (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (.f64 x (neg.f64 y)))))) (+.f64 (/.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (.f64 x (neg.f64 y)))) (/.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (*.f64 x (neg.f64 y))))))
(/.f64 (.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (+.f64 #s(literal 5 binary64) x)) (.f64 (+.f64 #s(literal 5 binary64) x) (.f64 z (.f64 z (+.f64 #s(literal 5 binary64) x)))))) #s(literal 1 binary64)) (fma.f64 z (.f64 z (.f64 (+.f64 #s(literal 5 binary64) x) (+.f64 #s(literal 5 binary64) x))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z (+.f64 #s(literal 5 binary64) x))))))
(/.f64 (.f64 (fma.f64 z (.f64 (.f64 z z) #s(literal 125 binary64)) (.f64 (.f64 x (+.f64 z y)) (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))))) #s(literal 1 binary64)) (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x (+.f64 z y)) (fma.f64 x (+.f64 z y) (.f64 z #s(literal -5 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))) (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y)))) #s(literal 1 binary64)) (fma.f64 z #s(literal 5 binary64) (*.f64 x (-.f64 z y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y)))) #s(literal 1 binary64)) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (*.f64 x (neg.f64 y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 z y)))) #s(literal -1 binary64))
(.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))) (.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5 binary64) (*.f64 x (-.f64 z y))))))
(.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))) (.f64 (fma.f64 z (-.f64 #s(literal 5 binary64) x) (.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (*.f64 x (neg.f64 y))))))
(.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (+.f64 #s(literal 5 binary64) x)) (.f64 (+.f64 #s(literal 5 binary64) x) (.f64 z (.f64 z (+.f64 #s(literal 5 binary64) x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 (+.f64 #s(literal 5 binary64) x) (+.f64 #s(literal 5 binary64) x))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z (+.f64 #s(literal 5 binary64) x)))))))
(.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (+.f64 #s(literal 5 binary64) x)) (.f64 (+.f64 #s(literal 5 binary64) x) (.f64 z (.f64 z (+.f64 #s(literal 5 binary64) x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 z (+.f64 #s(literal 5 binary64) x)) (fma.f64 z #s(literal 5 binary64) (*.f64 x (-.f64 z y)))))))
(.f64 (fma.f64 z (.f64 z (.f64 (+.f64 #s(literal 5 binary64) x) (+.f64 #s(literal 5 binary64) x))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z (+.f64 #s(literal 5 binary64) x))))) (.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 (+.f64 #s(literal 5 binary64) x) (+.f64 #s(literal 5 binary64) x))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 z (+.f64 #s(literal 5 binary64) x))))))))
(.f64 (fma.f64 z (.f64 (.f64 z z) #s(literal 125 binary64)) (.f64 (.f64 x (+.f64 z y)) (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x (+.f64 z y)) (fma.f64 x (+.f64 z y) (.f64 z #s(literal -5 binary64)))))))
(.f64 (fma.f64 z (.f64 (.f64 z z) #s(literal 125 binary64)) (.f64 (.f64 x (+.f64 z y)) (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (+.f64 z y)) (+.f64 z y)) (.f64 (.f64 z #s(literal 5 binary64)) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (*.f64 x (neg.f64 y)))))))
(.f64 (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x (+.f64 z y)) (fma.f64 x (+.f64 z y) (.f64 z #s(literal -5 binary64))))) (.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x (+.f64 z y)) (fma.f64 x (+.f64 z y) (*.f64 z #s(literal -5 binary64))))))))
(.f64 (.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))) (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5 binary64) (*.f64 x (-.f64 z y)))))
(.f64 (-.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 5 binary64) x) (*.f64 x (neg.f64 y)))))
(.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 z (+.f64 #s(literal 5 binary64) x)) (.f64 (+.f64 #s(literal 5 binary64) x) (.f64 z (.f64 z (+.f64 #s(literal 5 binary64) x))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (.f64 z (.f64 (+.f64 #s(literal 5 binary64) x) (+.f64 #s(literal 5 binary64) x))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z (+.f64 #s(literal 5 binary64) x))))))))
(.f64 (neg.f64 (.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))) (fma.f64 z #s(literal 5 binary64) (.f64 x (-.f64 z y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z #s(literal 5 binary64) (*.f64 x (-.f64 z y))))))
(.f64 (neg.f64 (fma.f64 z (.f64 (.f64 z z) #s(literal 125 binary64)) (.f64 (.f64 x (+.f64 z y)) (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal -25 binary64) (neg.f64 (.f64 (.f64 x (+.f64 z y)) (fma.f64 x (+.f64 z y) (.f64 z #s(literal -5 binary64))))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 z z) #s(literal 25 binary64)) (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 #s(literal 5 binary64) x) (*.f64 x (neg.f64 y))))))
(.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))))
(.f64 (.f64 (fma.f64 z #s(literal 5 binary64) (.f64 x (+.f64 z y))) (-.f64 (.f64 x y) (.f64 z (+.f64 #s(literal 5 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z (+.f64 #s(literal 5 binary64) x)))))
(.f64 (fma.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y)) (.f64 (.f64 z z) #s(literal -25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 z y) (.f64 z #s(literal -5 binary64)))))
(+.f64 #s(literal 5 binary64) x)
(+.f64 x #s(literal 5 binary64))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -5 binary64))) (neg.f64 (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64))))
(-.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 5 binary64) x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -5 binary64))) (neg.f64 (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (neg.f64 (+.f64 #s(literal 25 binary64) (fma.f64 x #s(literal -5 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -25 binary64)) (+.f64 (neg.f64 x) #s(literal 5 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (+.f64 #s(literal 25 binary64) (fma.f64 x #s(literal -5 binary64) (.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -25 binary64))) (+.f64 x #s(literal -5 binary64))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (+.f64 #s(literal 25 binary64) (fma.f64 x #s(literal -5 binary64) (.f64 x x))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (+.f64 #s(literal 25 binary64) (.f64 x (+.f64 x #s(literal -5 binary64)))))
(/.f64 (fma.f64 x x #s(literal -25 binary64)) (+.f64 x #s(literal -5 binary64)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (neg.f64 (+.f64 #s(literal 25 binary64) (fma.f64 x #s(literal -5 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (neg.f64 (+.f64 #s(literal 25 binary64) (.f64 x (+.f64 x #s(literal -5 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -25 binary64))) (+.f64 (neg.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25 binary64) (.f64 x (+.f64 x #s(literal -5 binary64)))) (fma.f64 x (.f64 x x) #s(literal 125 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5 binary64) x) (-.f64 #s(literal 25 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 #s(literal 5 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -5 binary64))) (.f64 (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64))) (.f64 (+.f64 x #s(literal -5 binary64)) (+.f64 x #s(literal -5 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 25 binary64) (fma.f64 x #s(literal -5 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -25 binary64)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal 5 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 25 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 5 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -5 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -5 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -5 binary64))) (fma.f64 (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64))) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -5 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -5 binary64)))) (.f64 (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 25 binary64) (+.f64 x #s(literal -5 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 25 binary64) (fma.f64 x #s(literal -5 binary64) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -25 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -5 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x)) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 25 binary64) (fma.f64 x #s(literal -5 binary64) (*.f64 x x)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 25 binary64) (*.f64 x (+.f64 x #s(literal -5 binary64))))))
(*.f64 (fma.f64 x x #s(literal -25 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -5 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 25 binary64) (fma.f64 x #s(literal -5 binary64) (*.f64 x x))))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 5 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 5 binary64) x))
(.f64 (-.f64 #s(literal 25 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) x)))

simplify258.0ms (3.9%)

Memory

23.5MiB live, 333.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 380×	`lower-fma.f64`
7 380×	`lower-fma.f32`
3 166×	`lower-*.f64`
3 166×	`lower-*.f32`
1 032×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1406
1	397	1406
2	1036	1406
3	2946	1406
4	5416	1406
5	7135	1406
0	8017	1325

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 274

Calls

Call 1

Inputs
(* x y)
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(* z (+ 5 x))
(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 (+ x (/ (* x y) z))))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(* 5 z)
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(* x (+ y z))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y z))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 (+ y z)))))
(+ (* 5 z) (* x z))
(+ (* 5 z) (+ (* x y) (* x z)))
(+ (* 5 z) (+ (* x y) (* x z)))
(+ (* 5 z) (+ (* x y) (* x z)))
(* x y)
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* y (+ x (+ (* 5 (/ z y)) (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 5 z) (* x z)) y)))))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* 5 z)
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(* x y)
(* x (+ y (* 5 (/ z x))))
(* x (+ y (* 5 (/ z x))))
(* x (+ y (* 5 (/ z x))))
(* x y)
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(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(* 5 z)
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(* x y)
(* y (+ x (* 5 (/ z y))))
(* y (+ x (* 5 (/ z y))))
(* y (+ x (* 5 (/ z y))))
(* x y)
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(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(* x y)
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(* 5 z)
(* z (+ 5 (/ (* x y) z)))
(* z (+ 5 (/ (* x y) z)))
(* z (+ 5 (/ (* x y) z)))
(* 5 z)
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(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(* 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)
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(* x y)
(* x y)
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(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* 5 z)
(* x y)
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(* z (+ 5 x))
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(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 (+ x (/ (* x y) z))))
(* z (+ 5 x))
(* -1 (* z (+ (* -1 (+ 5 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ 5 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ 5 x)) (* -1 (/ (* x y) z)))))
(* 5 z)
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(+ (* 5 z) (* x (+ y z)))
(* x (+ y z))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* x (+ y (+ z (* 5 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -5 (/ z x)) (+ (* -1 y) (* -1 z)))))
(* -1 (* x (+ (* -5 (/ z x)) (+ (* -1 y) (* -1 z)))))
(* -1 (* x (+ (* -5 (/ z x)) (+ (* -1 y) (* -1 z)))))
(* z (+ 5 x))
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(+ (* x y) (* z (+ 5 x)))
(* x y)
(* y (+ x (/ (* z (+ 5 x)) y)))
(* y (+ x (/ (* z (+ 5 x)) y)))
(* y (+ x (/ (* z (+ 5 x)) y)))
(* x y)
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(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 5 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 5 x)) y)))))
5
(+ 5 x)
(+ 5 x)
(+ 5 x)
x
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))
x
(* x (+ 1 (* 5 (/ 1 x))))
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(* x (+ 1 (* 5 (/ 1 x))))

Outputs
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ 5 x)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* z (+ 5 (+ x (/ (* x y) z))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* z (- (+ (* -1 x) (* -1 (/ (* x y) z))) 5)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* 5 z)
(*.f64 z #s(literal 5 binary64))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* 5 z) (* x (+ y z)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
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(* x (+ y z))
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(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* 5 z) (* x z))
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(+ (* 5 z) (+ (* x y) (* x z)))
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(* x y)
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(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
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(* x y)
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(* x z)
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(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x y)
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(* x y)
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(* x y)
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(+ (* x y) (* x z))
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(+ (* x y) (* x z))
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(* x z)
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(*.f64 x (+.f64 y z))
z
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y
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z
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(* 5 z)
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(* 5 z)
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(* 5 z)
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(* x y)
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(* x z)
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(* x z)
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(* x y)
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(* x y)
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y
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z
(* z (+ 1 (/ y z)))
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z
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z
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y
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(* 5 z)
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(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x y)
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(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x (+ y (* 5 (/ z x))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x (+ y (* 5 (/ z x))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* x y)
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(* 5 z)
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(* x y)
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(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
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(* x y)
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(* x y)
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(* 5 z)
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(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(* z (+ 5 (/ (* x y) z)))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
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(* 5 z)
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(* x y)
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(* x y)
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(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x (+ y (+ z (* 5 (/ z x)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 x (+.f64 y z))
(* -1 (* x (+ (* -5 (/ z x)) (+ (* -1 y) (* -1 z)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* x (+ (* -5 (/ z x)) (+ (* -1 y) (* -1 z)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* x (+ (* -5 (/ z x)) (+ (* -1 y) (* -1 z)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(+ (* x y) (* z (+ 5 x)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (+ 5 x)) y)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* y (+ x (/ (* z (+ 5 x)) y)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* y (+ x (/ (* z (+ 5 x)) y)))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 5 x)) y)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 5 x)) y)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 5 x)) y)))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 5 binary64))))
5
#s(literal 5 binary64)
(+ 5 x)
(+.f64 x #s(literal 5 binary64))
(+ 5 x)
(+.f64 x #s(literal 5 binary64))
(+ 5 x)
(+.f64 x #s(literal 5 binary64))
x
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
x
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))

eval100.0ms (1.5%)

Memory: 2.2MiB live, 241.0MiB allocated
Compiler: Compiled 17 653 to 974 computations (94.5% saved)

prune83.0ms (1.3%)

Memory

0.6MiB live, 193.2MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	871	5	876
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	876	8	884

Accuracy

100.0%

Counts

884 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.6%	(fma.f64 z x (*.f64 x y))
▶	63.9%	(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
▶	75.2%	(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
▶	63.8%	(*.f64 z (+.f64 x #s(literal 5 binary64)))
✓	63.6%	(*.f64 x (+.f64 z y))
▶	28.1%	(*.f64 x z)
▶	39.2%	(*.f64 x y)
✓	38.2%	(*.f64 #s(literal 5 binary64) z)

Compiler

Compiled 108 to 72 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

-20.8MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	192	(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
✓	cost-diff	0	(+.f64 x #s(literal 5 binary64))
✓	cost-diff	0	(*.f64 z (+.f64 x #s(literal 5 binary64)))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 z #s(literal 5 binary64) (*.f64 x y))

Rules

16×	`lower-fma.f32`
16×	`lower-*.f32`
12×	`lower-fma.f64`
12×	`lower-+.f32`
10×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
0	17	45
1	26	45
0	26	45

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
z
#s(literal 5 binary64)
(*.f64 x y)
x
y
(*.f64 x y)
x
y
(*.f64 x z)
x
z
(*.f64 z (+.f64 x #s(literal 5 binary64)))
z
(+.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
z
#s(literal 5 binary64)
(*.f64 x z)
x

Outputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
z
#s(literal 5 binary64)
(*.f64 x y)
x
y
(*.f64 x y)
x
y
(*.f64 x z)
(*.f64 z x)
x
z
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
z
(+.f64 x #s(literal 5 binary64))
(+.f64 #s(literal 5 binary64) x)
x
#s(literal 5 binary64)
(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
z
#s(literal 5 binary64)
(*.f64 x z)
(*.f64 z x)
x

localize39.0ms (0.6%)

Memory

5.4MiB live, 81.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(+.f64 x #s(literal 5 binary64))
✓	accuracy	100.0%	(*.f64 z (+.f64 x #s(literal 5 binary64)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(fma.f64 z #s(literal 5 binary64) (*.f64 x y))

Samples

21.0ms	242×	0	valid
1.0ms	5×	3	valid
1.0ms	4×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 50 to 13 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (55% of total)

ival-add: 4.0ms (36.7% of total)

adjust: 1.0ms (9.2% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (fma.f64 z #s(literal 5 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x #s(literal 5 binary64)))>
#<alt (+.f64 x #s(literal 5 binary64))>
#<alt (fma.f64 z #s(literal 5 binary64) (*.f64 x z))>

Outputs
#<alt (* x y)>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (* 5 z)>
#<alt (* z (+ 5 (/ (* x y) z)))>
#<alt (* z (+ 5 (/ (* x y) z)))>
#<alt (* z (+ 5 (/ (* x y) z)))>
#<alt (* 5 z)>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 5)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 5)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 5)))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 5 (/ z x))))>
#<alt (* x (+ y (* 5 (/ z x))))>
#<alt (* x (+ y (* 5 (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (+ (* 5 z) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 5 (/ z y))))>
#<alt (* y (+ x (* 5 (/ z y))))>
#<alt (* y (+ x (* 5 (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))>
#<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 (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt 5>
#<alt (+ 5 x)>
#<alt (+ 5 x)>
#<alt (+ 5 x)>
#<alt x>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* x (+ 1 (* 5 (/ 1 x))))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* z (+ 5 x))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* -1 (* z (- (* -1 x) 5)))>
#<alt (* 5 z)>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (* x z))>
#<alt (+ (* 5 z) (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x (+ z (* 5 (/ z x))))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x z)
0.0ms	z	@	inf	(+ (* z 5) (* x z))
0.0ms	x	@	-inf	(* x z)
0.0ms	z	@	0	(* z (+ x 5))
0.0ms	z	@	-inf	(* x z)

rewrite343.0ms (5.2%)

Memory

-20.5MiB live, 626.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 562×	`lower-fma.f32`
7 558×	`lower-fma.f64`
5 544×	`lower-*.f32`
5 538×	`lower-*.f64`
2 352×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	17	25
1	63	25
2	436	25
3	4525	25
0	8190	25

Stop Event

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

Counts

6 → 379

Calls

Call 1

Inputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 x z)
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+.f64 x #s(literal 5 binary64))
(fma.f64 z #s(literal 5 binary64) (*.f64 x z))

Outputs
(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
(+.f64 (.f64 z #s(literal 5 binary64)) (.f64 x y))
(+.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (*.f64 z #s(literal 5 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5 binary64) (.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (*.f64 z #s(literal 5 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y (.f64 z #s(literal -5 binary64)))) (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (fma.f64 x y (*.f64 z #s(literal -5 binary64)))))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(fma.f64 z (/.f64 (.f64 z #s(literal 25 binary64)) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64))))))
(fma.f64 #s(literal 5 binary64) z (*.f64 x y))
(fma.f64 #s(literal 5 binary64) (/.f64 (.f64 #s(literal 5 binary64) (.f64 z z)) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (*.f64 z #s(literal 5 binary64))))))
(fma.f64 x y (*.f64 z #s(literal 5 binary64)))
(fma.f64 x (exp.f64 (log.f64 y)) (*.f64 z #s(literal 5 binary64)))
(fma.f64 y x (*.f64 z #s(literal 5 binary64)))
(fma.f64 (.f64 z #s(literal 5 binary64)) (/.f64 (.f64 z #s(literal 5 binary64)) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (*.f64 z #s(literal 5 binary64))))))
(fma.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (*.f64 z #s(literal 5 binary64))))))
(fma.f64 #s(literal 25 binary64) (/.f64 (.f64 z z) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64))))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 25 binary64) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64))))))
(fma.f64 (.f64 #s(literal 5 binary64) (.f64 z z)) (/.f64 #s(literal 5 binary64) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (*.f64 z #s(literal 5 binary64))))))
(fma.f64 (.f64 z #s(literal 25 binary64)) (/.f64 z (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64))))))
(fma.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64))))))
(fma.f64 (/.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (-.f64 (.f64 #s(literal 125 binary64) (.f64 z (.f64 z z))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (fma.f64 (.f64 x y) (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (.f64 z (.f64 z #s(literal 25 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64))))))
(fma.f64 (exp.f64 (log.f64 y)) x (*.f64 z #s(literal 5 binary64)))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal 5 binary64))) (*.f64 x y))
(fma.f64 (exp.f64 (log.f64 #s(literal 5 binary64))) (exp.f64 (log.f64 z)) (*.f64 x y))
(neg.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 #s(literal 125 binary64) (.f64 z (.f64 z z)))) (neg.f64 (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 z #s(literal -5 binary64))))))))
(neg.f64 (/.f64 (-.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (.f64 x (.f64 x (.f64 y y)))) (neg.f64 (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 #s(literal 125 binary64) (.f64 z (.f64 z z))))) (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 z #s(literal -5 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 #s(literal 125 binary64) (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 z #s(literal -5 binary64))))))
(/.f64 (-.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))) (.f64 #s(literal 125 binary64) (.f64 z (.f64 z z))))) (neg.f64 (fma.f64 z (.f64 z #s(literal 25 binary64)) (.f64 (.f64 x y) (fma.f64 x y (*.f64 z #s(literal -5 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 z (.f64 z #s(literal 25 binary64))) (.f64 x (.f64 x (.f64 y y))))) (neg.f64 (fma.f64 x (neg.f64 y) (.f64 z #s(literal 5 binary64)))))
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(.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 125 binary64))) (.f64 (fma.f64 x (+.f64 x #s(literal -5 binary64)) #s(literal 25 binary64)) (+.f64 (fma.f64 x x #s(literal -25 binary64)) (.f64 #s(literal 5 binary64) x)))) (+.f64 (fma.f64 x x #s(literal -25 binary64)) (.f64 #s(literal 5 binary64) x)))
(.f64 (/.f64 (.f64 z (fma.f64 x x #s(literal -25 binary64))) (fma.f64 x x #s(literal -25 binary64))) (+.f64 #s(literal 5 binary64) x))
(.f64 (/.f64 (.f64 z (fma.f64 x x #s(literal -25 binary64))) (fma.f64 x (*.f64 x x) #s(literal -125 binary64))) (fma.f64 x x (fma.f64 #s(literal 5 binary64) x #s(literal 25 binary64))))

simplify201.0ms (3%)

Memory

-0.1MiB live, 289.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 404×	`lower-fma.f64`
5 404×	`lower-fma.f32`
2 768×	`lower-*.f64`
2 768×	`lower-*.f32`
1 826×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	618
1	162	618
2	406	618
3	1044	618
4	2270	618
5	4484	618
6	7505	618
0	8031	591

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

Calls

Call 1

Inputs
(* x y)
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(* 5 z)
(* z (+ 5 (/ (* x y) z)))
(* z (+ 5 (/ (* x y) z)))
(* z (+ 5 (/ (* x y) z)))
(* 5 z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(* 5 z)
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(* x y)
(* x (+ y (* 5 (/ z x))))
(* x (+ y (* 5 (/ z x))))
(* x (+ y (* 5 (/ z x))))
(* x y)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(* 5 z)
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(+ (* 5 z) (* x y))
(* x y)
(* y (+ x (* 5 (/ z y))))
(* y (+ x (* 5 (/ z y))))
(* y (+ x (* 5 (/ z y))))
(* x y)
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(* 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 z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* 5 z)
(+ (* 5 z) (* x z))
(+ (* 5 z) (* x z))
(+ (* 5 z) (* x z))
(* x z)
(* x (+ z (* 5 (/ z x))))
(* x (+ z (* 5 (/ z x))))
(* x (+ z (* 5 (/ z x))))
(* x z)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
5
(+ 5 x)
(+ 5 x)
(+ 5 x)
x
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))
x
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))
(* x (+ 1 (* 5 (/ 1 x))))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* z (+ 5 x))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (* -1 x) 5)))
(* -1 (* z (- (* -1 x) 5)))
(* 5 z)
(+ (* 5 z) (* x z))
(+ (* 5 z) (* x z))
(+ (* 5 z) (* x z))
(* x z)
(* x (+ z (* 5 (/ z x))))
(* x (+ z (* 5 (/ z x))))
(* x (+ z (* 5 (/ z x))))
(* x z)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))

Outputs
(* x y)
(*.f64 x y)
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* z (+ 5 (/ (* x y) z)))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* z (+ 5 (/ (* x y) z)))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* z (+ 5 (/ (* x y) z)))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* -1 (* z (- (* -1 (/ (* x y) z)) 5)))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* x y)
(*.f64 x y)
(* x (+ y (* 5 (/ z x))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* x (+ y (* 5 (/ z x))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* x (+ y (* 5 (/ z x))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 y))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(+ (* 5 z) (* x y))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* x y)
(*.f64 x y)
(* y (+ x (* 5 (/ z y))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* y (+ x (* 5 (/ z y))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* y (+ x (* 5 (/ z y))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* -1 (* y (+ (* -5 (/ z y)) (* -1 x))))
(fma.f64 x y (*.f64 #s(literal 5 binary64) z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x z)
(*.f64 x z)
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(+ 5 x)
(+.f64 x #s(literal 5 binary64))
(+ 5 x)
(+.f64 x #s(literal 5 binary64))
(+ 5 x)
(+.f64 x #s(literal 5 binary64))
x
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
x
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* x (+ 1 (* 5 (/ 1 x))))
(+.f64 x #s(literal 5 binary64))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* z (+ 5 x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* z (- (* -1 x) 5)))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* 5 z)
(*.f64 #s(literal 5 binary64) z)
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(+ (* 5 z) (* x z))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x z)
(*.f64 x z)
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x (+ z (* 5 (/ z x))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ (* -5 (/ z x)) (* -1 z))))
(*.f64 z (+.f64 x #s(literal 5 binary64)))

eval62.0ms (0.9%)

Memory: 9.4MiB live, 126.6MiB allocated
Compiler: Compiled 11 245 to 747 computations (93.4% saved)

prune41.0ms (0.6%)

Memory

11.1MiB live, 87.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	583	0	583
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	583	8	591

Accuracy

100.0%

Counts

591 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.6%	(fma.f64 z x (*.f64 x y))
✓	63.9%	(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
✓	75.2%	(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
✓	63.8%	(*.f64 z (+.f64 x #s(literal 5 binary64)))
✓	63.6%	(*.f64 x (+.f64 z y))
✓	28.1%	(*.f64 x z)
✓	39.2%	(*.f64 x y)
✓	38.2%	(*.f64 #s(literal 5 binary64) z)

Compiler

Compiled 61 to 41 computations (32.8% saved)

simplify5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	192	(fma.f64 z x (*.f64 x y))

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
8×	`lower-+.f64`
8×	`lower-fma.f32`
8×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	11	11
2	15	11
3	16	11
0	16	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 z x (*.f64 x y))
z
x
(*.f64 x y)
y

Outputs
(fma.f64 z x (*.f64 x y))
(*.f64 x (+.f64 z y))
z
x
(*.f64 x y)
y

localize19.0ms (0.3%)

Memory

-23.3MiB live, 24.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.0%	(fma.f64 z x (*.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

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

ival-mult: 3.0ms (64.1% of total)

ival-add: 1.0ms (21.4% of total)

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

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

series1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

2 → 60

Calls

Call 1

Inputs
#<alt (fma.f64 z x (*.f64 x y))>
#<alt (*.f64 x y)>

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

Calls

15 calls:

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

rewrite394.0ms (5.9%)

Memory

0.1MiB live, 513.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 520×	`lower-fma.f32`
11 518×	`lower-fma.f64`
4 362×	`lower-/.f64`
4 362×	`lower-/.f32`
4 316×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	24	8
2	182	8
3	1918	8
0	8543	8

Stop Event

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

Counts

2 → 189

Calls

Call 1

Inputs
(fma.f64 z x (*.f64 x y))
(*.f64 x y)

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

simplify728.0ms (11%)

Memory

-10.5MiB live, 666.4MiB allocated

Algorithm

1×	egg-herbie

Rules

28 504×	`lower-fma.f64`
28 504×	`lower-fma.f32`
3 280×	`lower-+.f64`
3 280×	`lower-+.f32`
3 176×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	240
1	103	240
2	294	240
3	728	240
4	2238	240
5	4366	240
6	5489	240
7	6133	240
8	6322	240
9	6439	240
10	6743	240
11	6783	240
12	6816	240
13	7026	240
14	7040	240
15	7045	240
16	7048	240
17	7050	240
18	7050	240
0	8442	240

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

Outputs
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 x (+.f64 y z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 x (+.f64 y z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 x (+.f64 y z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval39.0ms (0.6%)

Memory: 10.8MiB live, 47.6MiB allocated
Compiler: Compiled 9 605 to 549 computations (94.3% saved)

prune105.0ms (1.6%)

Memory

11.2MiB live, 53.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	249	8	257

Accuracy

100.0%

Counts

257 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.6%	(fma.f64 z x (*.f64 x y))
✓	63.9%	(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
✓	75.2%	(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
✓	63.8%	(*.f64 z (+.f64 x #s(literal 5 binary64)))
✓	63.6%	(*.f64 x (+.f64 z y))
✓	28.1%	(*.f64 x z)
✓	39.2%	(*.f64 x y)
✓	38.2%	(*.f64 #s(literal 5 binary64) z)

Compiler

Compiled 145 to 66 computations (54.5% saved)

regimes24.0ms (0.4%)

Memory

-14.1MiB live, 24.1MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 x z)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
(+.f64 (.f64 z x) (.f64 z #s(literal 5 binary64)))
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(fma.f64 z (+.f64 x #s(literal 5 binary64)) (*.f64 x y))
(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Outputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))

Calls

4 calls:

9.0ms	x
5.0ms	y
5.0ms	z
5.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 x z)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
(fma.f64 z x (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
(+.f64 (.f64 z x) (.f64 z #s(literal 5 binary64)))

Outputs
(*.f64 x (+.f64 z y))
(+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64)))
(*.f64 x (+.f64 z y))

Calls

4 calls:

4.0ms	y
4.0ms	z
4.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
99.2%	3	`x`
89.5%	3	`y`
89.2%	3	`z`
85.8%	3	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (0.4%)

Memory

-33.2MiB live, 6.4MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 x z)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(fma.f64 z #s(literal 5 binary64) (*.f64 x z))
(fma.f64 z x (*.f64 x y))

Outputs
(*.f64 x (+.f64 z y))
(fma.f64 z #s(literal 5 binary64) (*.f64 x y))
(*.f64 x (+.f64 z y))

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 x z)
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(*.f64 z (+.f64 x #s(literal 5 binary64)))

Outputs
(*.f64 x (+.f64 z y))
(*.f64 z (+.f64 #s(literal 5 binary64) x))
(*.f64 x (+.f64 z y))

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
79.0%	3	`y`
89.4%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 x z)
(*.f64 x (+.f64 z y))

Outputs
(*.f64 x (+.f64 z y))
(*.f64 #s(literal 5 binary64) z)
(*.f64 x (+.f64 z y))

Calls

2 calls:

2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
69.5%	3	`z`
88.9%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 x z)

Outputs
(*.f64 x z)
(*.f64 x y)
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)
(*.f64 x z)

Calls

4 calls:

2.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
60.6%	3	`z`
55.7%	3	`y`
54.8%	3	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`
70.6%	5	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)

Outputs
(*.f64 x y)
(*.f64 #s(literal 5 binary64) z)
(*.f64 x y)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
64.7%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.5%)

Memory

-27.1MiB live, 12.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 5 binary64) z)

Outputs
(*.f64 #s(literal 5 binary64) z)

Calls

4 calls:

26.0ms	z
1.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
38.2%	1	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z #s(literal 5 binary64)))`
38.2%	1	`y`
38.2%	1	`z`
38.2%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch48.0ms (0.7%)

Memory

-5.3MiB live, 36.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	0.00509215853886379	0.4730032706482545
13.0ms	-14090435.65958473	-4.2369678323240466e-7

Samples

12.0ms

272×

valid

Compiler

Compiled 355 to 252 computations (29% saved)

Precisions

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

ival-add: 3.0ms (48.7% of total)

ival-mult: 3.0ms (48.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00509215853886379	0.4730032706482545
1.0ms	-14090435.65958473	-4.2369678323240466e-7

Compiler

Compiled 338 to 235 computations (30.5% saved)

bsearch20.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.00509215853886379	0.4730032706482545
13.0ms	-4.2369678323240466e-7	-4.43257951021326e-18

Samples

10.0ms

224×

valid

Compiler

Compiled 321 to 235 computations (26.8% saved)

Precisions

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

ival-mult: 3.0ms (60.2% of total)

ival-add: 2.0ms (40.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch57.0ms (0.9%)

Memory

-21.7MiB live, 16.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.00509215853886379	0.4730032706482545
48.0ms	-4.2369678323240466e-7	-4.43257951021326e-18

Samples

49.0ms

176×

valid

Compiler

Compiled 287 to 218 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 43.0ms (95.7% of total)

ival-add: 2.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	9.024189176812346e+200	6.60984133138032e+201
0.0ms	0.00509215853886379	0.4730032706482545
1.0ms	-4.2369678323240466e-7	-4.43257951021326e-18
9.0ms	-4.24728274294761e+160	-1.2982666292463082e+159

Samples

9.0ms

208×

valid

Compiler

Compiled 435 to 331 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (44.6% of total)

ival-mult: 2.0ms (44.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00509215853886379	0.4730032706482545
1.0ms	-4.2369678323240466e-7	-4.43257951021326e-18

Compiler

Compiled 253 to 201 computations (20.6% saved)

simplify25.0ms (0.4%)

Memory

-29.3MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	152
1	56	152

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(if (<=.f64 x #s(literal -5 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 2116691824864133/4503599627370496 binary64)) (+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64))) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -5 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 2116691824864133/4503599627370496 binary64)) (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -851083777008699/154742504910672534362390528 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 6124895493223875/36028797018963968 binary64)) (.f64 z (+.f64 #s(literal 5 binary64) x)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -4332790137498831/2475880078570760549798248448 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -2800000000000000111931998195670801300615776695483143965623620752694877823569399508664046667389851373637758983557168354649057966583790875363170944000771277979648 binary64)) (.f64 x z) (if (<=.f64 x #s(literal -4332790137498831/2475880078570760549798248448 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 #s(literal 5 binary64) z) (if (<=.f64 x #s(literal 2149999999999999951922628527033824725937004651907296871484177412697478783746625046398135191248456182815791589430775613180374461848806019910837317187402289035331646528466779871143009652815176279395401728 binary64)) (.f64 x y) (*.f64 x z)))))
(if (<=.f64 x #s(literal -4332790137498831/2475880078570760549798248448 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x y)))
(*.f64 #s(literal 5 binary64) z)

Outputs
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 y z)))
(fma.f64 z #s(literal 5 binary64) (*.f64 x (+.f64 z y)))
(if (<=.f64 x #s(literal -5 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 2116691824864133/4503599627370496 binary64)) (+.f64 (.f64 x y) (.f64 z #s(literal 5 binary64))) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -5 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 2116691824864133/4503599627370496 binary64)) (fma.f64 z #s(literal 5 binary64) (.f64 x y)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -851083777008699/154742504910672534362390528 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 6124895493223875/36028797018963968 binary64)) (.f64 z (+.f64 #s(literal 5 binary64) x)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -4332790137498831/2475880078570760549798248448 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -4332790137498831/2475880078570760549798248448 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 z #s(literal 5 binary64)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -2800000000000000111931998195670801300615776695483143965623620752694877823569399508664046667389851373637758983557168354649057966583790875363170944000771277979648 binary64)) (.f64 x z) (if (<=.f64 x #s(literal -4332790137498831/2475880078570760549798248448 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 #s(literal 5 binary64) z) (if (<=.f64 x #s(literal 2149999999999999951922628527033824725937004651907296871484177412697478783746625046398135191248456182815791589430775613180374461848806019910837317187402289035331646528466779871143009652815176279395401728 binary64)) (.f64 x y) (*.f64 x z)))))
(if (<=.f64 x #s(literal -2800000000000000111931998195670801300615776695483143965623620752694877823569399508664046667389851373637758983557168354649057966583790875363170944000771277979648 binary64)) (.f64 z x) (if (<=.f64 x #s(literal -4332790137498831/2475880078570760549798248448 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 z #s(literal 5 binary64)) (if (<=.f64 x #s(literal 2149999999999999951922628527033824725937004651907296871484177412697478783746625046398135191248456182815791589430775613180374461848806019910837317187402289035331646528466779871143009652815176279395401728 binary64)) (.f64 x y) (*.f64 z x)))))
(if (<=.f64 x #s(literal -4332790137498831/2475880078570760549798248448 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 #s(literal 5 binary64) z) (*.f64 x y)))
(if (<=.f64 x #s(literal -4332790137498831/2475880078570760549798248448 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) (.f64 z #s(literal 5 binary64)) (*.f64 x y)))
(*.f64 #s(literal 5 binary64) z)
(*.f64 z #s(literal 5 binary64))

soundness1.3s (20.3%)

Memory

-0.3MiB live, 454.1MiB allocated

Rules

13 292×	`lower-fma.f32`
13 288×	`lower-fma.f64`
7 696×	`lower-fma.f64`
7 696×	`lower-fma.f32`
7 380×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1406
1	397	1406
2	1036	1406
3	2946	1406
4	5416	1406
5	7135	1406
0	8017	1325
0	15	51
0	27	51
1	112	51
2	913	51
0	8496	50
0	8	20
0	12	20
1	47	20
2	377	20
3	4441	20
0	8615	19
0	75	544
1	256	544
2	735	544
3	2128	544
4	4453	544
5	6472	544
6	7867	544
0	8249	517

Stop Event

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

Compiler

Compiled 285 to 134 computations (53% saved)

preprocess89.0ms (1.3%)

Memory: -0.4MiB live, 75.9MiB allocated
Compiler: Compiled 358 to 120 computations (66.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample783.0ms (11.8%)

preprocess97.0ms (1.5%)

explain95.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize264.0ms (4%)

series14.0ms (0.2%)

rewrite348.0ms (5.2%)

simplify282.0ms (4.3%)

eval41.0ms (0.6%)

prune37.0ms (0.6%)

simplify6.0ms (0.1%)

localize54.0ms (0.8%)

series10.0ms (0.1%)

rewrite433.0ms (6.5%)

simplify258.0ms (3.9%)

eval100.0ms (1.5%)

prune83.0ms (1.3%)

simplify7.0ms (0.1%)

localize39.0ms (0.6%)

series4.0ms (0.1%)

rewrite343.0ms (5.2%)

simplify201.0ms (3%)

eval62.0ms (0.9%)

prune41.0ms (0.6%)

simplify5.0ms (0.1%)

localize19.0ms (0.3%)

series1.0ms (0%)

rewrite394.0ms (5.9%)

simplify728.0ms (11%)

eval39.0ms (0.6%)

prune105.0ms (1.6%)

regimes24.0ms (0.4%)

regimes16.0ms (0.2%)

regimes26.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes30.0ms (0.5%)

bsearch48.0ms (0.7%)

bsearch1.0ms (0%)

bsearch20.0ms (0.3%)

bsearch57.0ms (0.9%)

bsearch19.0ms (0.3%)

bsearch1.0ms (0%)

simplify25.0ms (0.4%)

soundness1.3s (20.3%)

preprocess89.0ms (1.3%)

end0.0ms (0%)

Profiling