Metrics for Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample676.0ms (12%)

Memory

-2.8MiB live, 1 061.2MiB allocated

Samples

440.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-mult: 118.0ms (54.4% of total)

ival-sub: 44.0ms (20.3% of total)

ival-add: 42.0ms (19.4% of total)

ival-true: 6.0ms (2.8% of total)

exact: 5.0ms (2.3% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess95.0ms (1.7%)

Memory

6.5MiB live, 79.0MiB allocated

Algorithm

1×	egg-herbie

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
390×	`distribute-rgt-in`
370×	`unsub-neg`
314×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	83
2	178	81
3	482	66
4	1083	64
5	1866	64
6	2292	64
7	2354	64
8	2362	64
9	2362	64
0	8	9
1	16	9
2	23	9
3	35	7
4	46	7
5	64	7
6	107	7
7	179	7
8	366	7
9	570	7
10	660	7
11	672	7
0	672	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain368.0ms (6.6%)

Memory

-176.5MiB live, 159.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`	nan-rescue	9	0
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`	overflow	37

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

295.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-mult: 272.0ms (97.8% of total)

ival-sub: 3.0ms (1.1% of total)

ival-add: 2.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify32.0ms (0.6%)

Memory

17.6MiB live, 51.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	320	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	16	24
2	23	24
3	35	22
4	46	22
5	64	22
6	107	22
7	179	22
8	366	22
9	570	22
10	660	22
11	672	22
0	672	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.6%)

Memory

-30.3MiB live, 51.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓	accuracy	96.5%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Samples

23.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 4.0ms (62.4% of total)

ival-sub: 1.0ms (15.6% of total)

ival-add: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite457.0ms (8.1%)

Memory

9.8MiB live, 639.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 732×	`-lowering-.f32`
6 732×	`-lowering-.f64`
4 784×	`accelerator-lowering-fma.f32`
4 784×	`accelerator-lowering-fma.f64`
4 232×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	41	20
2	307	20
3	3870	20
0	10423	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 280

Calls

Call 1

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

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

simplify372.0ms (6.6%)

Memory

14.8MiB live, 375.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 326×	`accelerator-lowering-fma.f32`
9 326×	`accelerator-lowering-fma.f64`
3 218×	`-lowering-.f32`
3 218×	`-lowering-.f64`
1 186×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	467
1	180	440
2	532	440
3	1344	440
4	4419	440
0	8070	440

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval43.0ms (0.8%)

Memory: -7.3MiB live, 110.6MiB allocated
Compiler: Compiled 9 562 to 996 computations (89.6% saved)

prune54.0ms (1%)

Memory

17.0MiB live, 94.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	370	6	376
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	371	6	377

Accuracy

100.0%

Counts

377 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.9%	(fma.f64 z x (neg.f64 z))
▶	100.0%	(fma.f64 x (+.f64 z y) (neg.f64 z))
	74.4%	(+.f64 (*.f64 x y) (neg.f64 z))
▶	66.7%	(*.f64 x (+.f64 z y))
▶	42.4%	(*.f64 x y)
▶	34.6%	(neg.f64 z)

Compiler

Compiled 92 to 60 computations (34.8% saved)

simplify39.0ms (0.7%)

Memory

-11.5MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(neg.f64 z)
✓	cost-diff	(fma.f64 z x (neg.f64 z))
✓	cost-diff	(+.f64 z y)
✓	cost-diff	(*.f64 x (+.f64 z y))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(neg.f64 z)
✓	cost-diff	(neg.f64 z)
✓	cost-diff	(+.f64 z y)
✓	cost-diff	(fma.f64 x (+.f64 z y) (neg.f64 z))

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	25	43
2	45	43
3	85	43
4	163	43
5	333	43
6	624	43
7	758	43
8	779	43
0	779	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ (* x (+ z y)) (neg z))
(-.f64 (*.f64 x (+.f64 z y)) z)
x
(+ z y)
(+.f64 z y)
z
y
(neg z)
(neg.f64 z)
(neg z)
(neg.f64 z)
z
(* x y)
(*.f64 x y)
x
y
(* x (+ z y))
(*.f64 x (+.f64 z y))
x
(+ z y)
(+.f64 z y)
z
y
(+ (* z x) (neg z))
(-.f64 (*.f64 x z) z)
z
x
(neg z)
(neg.f64 z)

localize36.0ms (0.6%)

Memory

3.0MiB live, 80.3MiB allocated

Localize:

Found 9 expressions of interest:

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

Samples

24.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

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

ival-mult: 6.0ms (54.5% of total)

ival-add: 4.0ms (36.3% of total)

ival-neg: 1.0ms (9.1% of total)

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

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

series64.0ms (1.1%)

Memory

-24.0MiB live, 12.8MiB allocated

Counts

6 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite330.0ms (5.9%)

Memory

-20.2MiB live, 447.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 220×	`accelerator-lowering-fma.f32`
5 220×	`accelerator-lowering-fma.f64`
3 412×	`-lowering-.f32`
3 412×	`-lowering-.f64`
2 236×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	60	25
2	504	24
3	7741	24
0	8072	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 438

Calls

Call 1

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

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

simplify269.0ms (4.8%)

Memory

13.6MiB live, 411.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 276×	`accelerator-lowering-fma.f32`
7 276×	`accelerator-lowering-fma.f64`
2 382×	`-lowering-.f32`
2 382×	`-lowering-.f64`
1 884×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	662
1	258	662
2	755	662
3	2047	662
4	4157	662
5	5556	662
6	6435	662
7	7233	662
8	7959	662
0	8115	662

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval86.0ms (1.5%)

Memory: 9.6MiB live, 198.1MiB allocated
Compiler: Compiled 13 965 to 1 076 computations (92.3% saved)

prune128.0ms (2.3%)

Memory

-12.2MiB live, 223.1MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	761	3	764
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	762	8	770

Accuracy

100.0%

Counts

770 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.9%	(fma.f64 z x (neg.f64 z))
✓	100.0%	(fma.f64 x (+.f64 z y) (neg.f64 z))
▶	74.4%	(fma.f64 x y (neg.f64 z))
▶	27.9%	(*.f64 z x)
✓	66.7%	(*.f64 x (+.f64 z y))
✓	42.4%	(*.f64 x y)
✓	34.6%	(neg.f64 z)
▶	2.6%	z

Compiler

Compiled 55 to 36 computations (34.5% saved)

simplify14.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

176×	`accelerator-lowering-fma.f32`
176×	`accelerator-lowering-fma.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
56×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	15	16
2	21	16
3	35	16
4	56	16
5	107	16
6	169	16
7	250	16
8	302	16
9	316	16
10	316	16
0	316	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (0.9%)

Memory

-14.1MiB live, 46.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

43.0ms

256×

valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

ival-mult: 3.0ms (50.2% of total)

ival-add: 1.0ms (16.7% of total)

ival-neg: 1.0ms (16.7% of total)

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

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

series2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite302.0ms (5.4%)

Memory

-1.8MiB live, 631.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 882×	`accelerator-lowering-fma.f32`
5 882×	`accelerator-lowering-fma.f64`
3 446×	`-lowering-.f32`
3 446×	`-lowering-.f64`
2 926×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	28	10
2	204	10
3	2144	9
0	9439	8

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 254

Calls

Call 1

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

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

simplify529.0ms (9.4%)

Memory

9.2MiB live, 760.3MiB allocated

Algorithm

1×	egg-herbie

Rules

23 472×	`accelerator-lowering-fma.f32`
23 472×	`accelerator-lowering-fma.f64`
3 252×	`+-lowering-+.f64`
3 252×	`+-lowering-+.f32`
2 804×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	254
1	107	254
2	292	254
3	687	254
4	1953	254
5	3065	254
6	4300	254
7	5211	254
8	5931	254
9	6185	254
10	7943	254
0	8651	254

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval53.0ms (0.9%)

Memory: -2.3MiB live, 74.0MiB allocated
Compiler: Compiled 8 852 to 709 computations (92% saved)

prune41.0ms (0.7%)

Memory

23.5MiB live, 99.1MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	326	0	326
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	326	8	334

Accuracy

100.0%

Counts

334 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.9%	(fma.f64 z x (neg.f64 z))
✓	100.0%	(fma.f64 x (+.f64 z y) (neg.f64 z))
✓	74.4%	(fma.f64 x y (neg.f64 z))
✓	27.9%	(*.f64 z x)
✓	66.7%	(*.f64 x (+.f64 z y))
✓	42.4%	(*.f64 x y)
✓	34.6%	(neg.f64 z)
✓	2.6%	z

Compiler

Compiled 104 to 52 computations (50% saved)

regimes20.0ms (0.4%)

Memory

-42.8MiB live, 41.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
4.0ms	z
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.2%)

Memory

36.5MiB live, 36.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

Accuracy	Segments	Branch
98.4%	3	`x`
85.7%	3	`y`
88.6%	3	`z`
88.2%	4	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

-24.3MiB live, 14.8MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
z
(neg.f64 z)
(*.f64 x y)
(*.f64 z x)
(*.f64 x (+.f64 z y))

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

Calls

2 calls:

4.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
66.7%	1	`z`
87.2%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

4 → 5

Calls

Call 1

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

Outputs
(*.f64 x y)
(*.f64 z x)
(*.f64 x y)
(neg.f64 z)
(*.f64 x y)

Calls

4 calls:

2.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

Accuracy	Segments	Branch
60.7%	4	`z`
55.9%	3	`y`
53.9%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
66.1%	5	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0.1%)

Memory

-31.8MiB live, 6.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
(*.f64 x y)
(neg.f64 z)
(*.f64 x y)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
63.0%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

4 calls:

2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
34.6%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
34.6%	1	`y`
34.6%	1	`z`
34.6%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

4 calls:

1.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
2.6%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
2.6%	1	`y`
2.6%	1	`x`
2.6%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch30.0ms (0.5%)

Memory

-22.9MiB live, 57.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3158826178817935e-5	657.9014045595676
15.0ms	-4047383615.8773303	-147.6063334624068

Samples

18.0ms

288×

valid

Compiler

Compiled 339 to 230 computations (32.2% saved)

Precisions

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

ival-mult: 7.0ms (70.8% of total)

ival-sub: 1.0ms (10.1% of total)

ival-add: 1.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch172.0ms (3.1%)

Memory

-1.4MiB live, 37.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
158.0ms	7.937352369185959e-54	1.5892219375198663e-46
11.0ms	-1.2250692268946982e-32	-3.655394896783206e-40

Samples

159.0ms

288×

valid

Compiler

Compiled 285 to 212 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-sub: 148.0ms (96.7% of total)

ival-mult: 4.0ms (2.6% of total)

ival-add: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch55.0ms (1%)

Memory

-5.5MiB live, 90.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	3.11522525717989e-77	1.0232508730048705e-71
12.0ms	-1.2250692268946982e-32	-3.655394896783206e-40
13.0ms	-7.374531075737268e+62	-7.337600158930285e+59
10.0ms	-1.4694295888793342e+177	-9.768123579113533e+173

Samples

32.0ms

544×

valid

Compiler

Compiled 473 to 354 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (53.9% of total)

ival-sub: 3.0ms (23.1% of total)

ival-add: 2.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.7%)

Memory

-8.3MiB live, 30.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	3.11522525717989e-77	1.0232508730048705e-71
12.0ms	-1.2250692268946982e-32	-3.655394896783206e-40

Samples

13.0ms

288×

valid

Compiler

Compiled 249 to 194 computations (22.1% saved)

Precisions

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

ival-mult: 4.0ms (57.2% of total)

ival-sub: 1.0ms (14.3% of total)

ival-add: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`if-if-or-not_binary32`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	87
1	62	87
2	64	87
3	65	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (+.f64 z y) (neg.f64 z))
(if (<=.f64 x #s(literal -150 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x y (neg.f64 z)) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -1205738850797995/182687704666362864775460604089535377456991567872 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 5399311828710207/51422017416287688817342786954917203280710495801049370729644032 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -75000000000000000558673537655573991858149620393736540426973190598447988935086212019778990728043029380634920195208848471279407537460732988731792693083717912782240417302032941056 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -125999999999999995050026740137286258295705240837184805591318528 binary64)) (.f64 z x) (if (<=.f64 x #s(literal -5686995171182009/5986310706507378352962293074805895248510699696029696 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (neg.f64 z) (.f64 x y)))))
(if (<=.f64 x #s(literal -4384504911992709/365375409332725729550921208179070754913983135744 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 18649621365367/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (neg.f64 z) (.f64 x y)))
(neg.f64 z)
z

Outputs
(fma.f64 x (+.f64 z y) (neg.f64 z))
(if (<=.f64 x #s(literal -150 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 x y (neg.f64 z)) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -1205738850797995/182687704666362864775460604089535377456991567872 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 5399311828710207/51422017416287688817342786954917203280710495801049370729644032 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -75000000000000000558673537655573991858149620393736540426973190598447988935086212019778990728043029380634920195208848471279407537460732988731792693083717912782240417302032941056 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -125999999999999995050026740137286258295705240837184805591318528 binary64)) (.f64 z x) (if (<=.f64 x #s(literal -5686995171182009/5986310706507378352962293074805895248510699696029696 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (neg.f64 z) (.f64 x y)))))
(if (<=.f64 x #s(literal -75000000000000000558673537655573991858149620393736540426973190598447988935086212019778990728043029380634920195208848471279407537460732988731792693083717912782240417302032941056 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -125999999999999995050026740137286258295705240837184805591318528 binary64)) (.f64 x z) (if (<=.f64 x #s(literal -5686995171182009/5986310706507378352962293074805895248510699696029696 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (neg.f64 z) (.f64 x y)))))
(if (<=.f64 x #s(literal -4384504911992709/365375409332725729550921208179070754913983135744 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 18649621365367/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (neg.f64 z) (.f64 x y)))
(neg.f64 z)
z

soundness1.1s (19.3%)

Memory

-6.9MiB live, 501.9MiB allocated

Rules

9 326×	`accelerator-lowering-fma.f32`
9 326×	`accelerator-lowering-fma.f64`
7 276×	`accelerator-lowering-fma.f32`
7 276×	`accelerator-lowering-fma.f64`
5 220×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	467
1	180	440
2	532	440
3	1344	440
4	4419	440
0	8070	440
0	74	662
1	258	662
2	755	662
3	2047	662
4	4157	662
5	5556	662
6	6435	662
7	7233	662
8	7959	662
0	8115	662
0	10	25
1	60	25
2	504	24
3	7741	24
0	8072	22

Stop Event

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

Compiler

Compiled 200 to 107 computations (46.5% saved)

preprocess76.0ms (1.3%)

Memory: 36.4MiB live, 190.3MiB allocated
Compiler: Compiled 228 to 96 computations (57.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
1	16	24
2	23	24
3	35	22
4	46	22
5	64	22
6	107	22
7	179	22
8	366	22
9	570	22
10	660	22
11	672	22
0	672	22

Iter	Nodes	Cost
0	7	16
1	15	16
2	21	16
3	35	16
4	56	16
5	107	16
6	169	16
7	250	16
8	302	16
9	316	16
10	316	16
0	316	16

Iter	Nodes	Cost
0	8	24
1	16	24
2	23	24
3	35	22
4	46	22
5	64	22
6	107	22
7	179	22
8	366	22
9	570	22
10	660	22
11	672	22
0	672	22

Iter	Nodes	Cost
0	7	16
1	15	16
2	21	16
3	35	16
4	56	16
5	107	16
6	169	16
7	250	16
8	302	16
9	316	16
10	316	16
0	316	16

analyze0.0ms (0%)

sample676.0ms (12%)

preprocess95.0ms (1.7%)

explain368.0ms (6.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.6%)

localize33.0ms (0.6%)

series6.0ms (0.1%)

rewrite457.0ms (8.1%)

simplify372.0ms (6.6%)

eval43.0ms (0.8%)

prune54.0ms (1%)

simplify39.0ms (0.7%)

localize36.0ms (0.6%)

series64.0ms (1.1%)

rewrite330.0ms (5.9%)

simplify269.0ms (4.8%)

eval86.0ms (1.5%)

prune128.0ms (2.3%)

simplify14.0ms (0.3%)

localize50.0ms (0.9%)

series2.0ms (0%)

rewrite302.0ms (5.4%)

simplify529.0ms (9.4%)

eval53.0ms (0.9%)

prune41.0ms (0.7%)

regimes20.0ms (0.4%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch30.0ms (0.5%)

bsearch172.0ms (3.1%)

bsearch55.0ms (1%)

bsearch41.0ms (0.7%)

simplify10.0ms (0.2%)

soundness1.1s (19.3%)

preprocess76.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
1	16	24
2	23	24
3	35	22
4	46	22
5	64	22
6	107	22
7	179	22
8	366	22
9	570	22
10	660	22
11	672	22
0	672	22

Iter	Nodes	Cost
0	7	16
1	15	16
2	21	16
3	35	16
4	56	16
5	107	16
6	169	16
7	250	16
8	302	16
9	316	16
10	316	16
0	316	16