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)

sample981.0ms (18.7%)

Memory

-132.8MiB live, 1 130.6MiB allocated

Samples

787.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

ival-mult: 371.0ms (76.7% of total)

ival-sub: 61.0ms (12.6% of total)

ival-add: 36.0ms (7.4% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess92.0ms (1.8%)

Memory

-22.1MiB live, 99.3MiB 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)

explain76.0ms (1.4%)

Memory

-2.6MiB live, 155.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
8	-	-	`(+.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	8	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`	overflow	35

Confusion

	Predicted +	Predicted -
+	8	0
-	0	248

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	0
-	0	0	248

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	248
1	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-mult: 8.0ms (60.3% of total)

ival-sub: 3.0ms (22.6% of total)

ival-add: 2.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify31.0ms (0.6%)

Memory

12.2MiB live, 48.4MiB 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

localize23.0ms (0.4%)

Memory

5.5MiB live, 42.7MiB 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	97.2%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Samples

16.0ms

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: 3.0ms (49.3% of total)

ival-sub: 1.0ms (16.4% of total)

ival-add: 1.0ms (16.4% 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

9.8MiB live, 9.8MiB 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))

rewrite527.0ms (10.1%)

Memory

-40.7MiB live, 578.4MiB 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))

simplify362.0ms (6.9%)

Memory

-3.8MiB live, 397.4MiB 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)

eval67.0ms (1.3%)

Memory: 17.2MiB live, 94.4MiB allocated
Compiler: Compiled 9 562 to 996 computations (89.6% saved)

prune45.0ms (0.9%)

Memory

12.3MiB live, 131.9MiB 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
▶	61.1%	(fma.f64 z x (neg.f64 z))
	62.3%	(+.f64 (.f64 x y) (.f64 z x))
▶	79.1%	(+.f64 (*.f64 x y) (neg.f64 z))
▶	65.5%	(*.f64 x (+.f64 z y))
▶	44.7%	(*.f64 x y)
▶	37.5%	(neg.f64 z)

Compiler

Compiled 92 to 60 computations (34.8% saved)

simplify24.0ms (0.5%)

Memory

-7.1MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(fma.f64 z x (neg.f64 z))
✓	cost-diff	0	(+.f64 z y)
✓	cost-diff	0	(*.f64 x (+.f64 z y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (*.f64 x y) (neg.f64 z))

Rules

432×	`accelerator-lowering-fma.f32`
432×	`accelerator-lowering-fma.f64`
224×	`-lowering-.f32`
224×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	25	41
2	40	41
3	65	41
4	105	41
5	209	41
6	363	41
7	483	41
8	546	41
9	548	41
0	548	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize37.0ms (0.7%)

Memory

8.2MiB live, 82.2MiB 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%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) (neg.f64 z))

Samples

23.0ms

256×

valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

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

ival-mult: 8.0ms (62.3% of total)

ival-add: 3.0ms (23.4% of total)

ival-neg: 1.0ms (7.8% of total)

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

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

series14.0ms (0.3%)

Memory

-37.7MiB live, 18.3MiB allocated

Counts

6 → 156

Calls

Call 1

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

Outputs
#<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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* 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
9.0ms	x	@	0	(+ (* z x) (neg z))
0.0ms	x	@	0	(* x (+ z y))
0.0ms	x	@	inf	(* x (+ z y))
0.0ms	y	@	inf	(* x (+ z y))
0.0ms	x	@	inf	(+ (* z x) (neg z))

rewrite343.0ms (6.6%)

Memory

27.1MiB live, 599.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 146×	`accelerator-lowering-fma.f32`
6 146×	`accelerator-lowering-fma.f64`
4 174×	`-lowering-.f32`
4 174×	`-lowering-.f64`
1 686×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	60	23
2	487	22
3	6031	22
0	8841	20

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 368

Calls

Call 1

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

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

simplify360.0ms (6.9%)

Memory

-18.9MiB live, 395.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 178×	`accelerator-lowering-fma.f32`
6 178×	`accelerator-lowering-fma.f64`
3 318×	`-lowering-.f32`
3 318×	`-lowering-.f64`
1 588×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	595
1	237	595
2	647	595
3	1555	595
4	2937	595
5	4224	595
6	6391	595
7	7616	595
0	8174	595

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

eval74.0ms (1.4%)

Memory: 24.6MiB live, 175.6MiB allocated
Compiler: Compiled 9 357 to 891 computations (90.5% saved)

prune72.0ms (1.4%)

Memory

-23.5MiB live, 163.7MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	651	4	655
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	653	8	661

Accuracy

100.0%

Counts

661 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(fma.f64 z x (*.f64 x y))
✓	61.1%	(fma.f64 z x (neg.f64 z))
▶	79.1%	(-.f64 (*.f64 x y) z)
▶	26.6%	(*.f64 z x)
✓	65.5%	(*.f64 x (+.f64 z y))
✓	44.7%	(*.f64 x y)
✓	37.5%	(neg.f64 z)
▶	2.8%	z

Compiler

Compiled 54 to 35 computations (35.2% saved)

simplify32.0ms (0.6%)

Memory

-7.0MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

320×	`accelerator-lowering-fma.f32`
320×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
88×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	12	28
2	21	28
3	28	28
4	42	28
5	69	28
6	120	28
7	188	28
8	309	28
9	478	28
10	500	28
0	500	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

27.8MiB live, 27.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.8%	(fma.f64 z x (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(*.f64 z x)

Samples

14.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-mult: 3.0ms (51.6% of total)

ival-sub: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

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

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

series20.0ms (0.4%)

Memory

-34.9MiB live, 3.5MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	(* x y)
0.0ms	x	@	0	(* z x)
0.0ms	y	@	0	(+ (* z x) (* x y))
0.0ms	x	@	inf	(* z x)
0.0ms	x	@	-inf	(* z x)

rewrite403.0ms (7.7%)

Memory

32.0MiB live, 701.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 588×	`accelerator-lowering-fma.f32`
6 588×	`accelerator-lowering-fma.f64`
4 460×	`-lowering-.f32`
4 460×	`-lowering-.f64`
4 320×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	35	16
2	295	16
3	3210	16
0	9003	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 325

Calls

Call 1

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

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

simplify222.0ms (4.2%)

Memory

8.7MiB live, 363.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 494×	`accelerator-lowering-fma.f32`
5 494×	`accelerator-lowering-fma.f64`
3 084×	`-lowering-.f32`
3 084×	`-lowering-.f64`
1 102×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	470
1	178	470
2	508	470
3	1158	470
4	2893	470
5	4343	470
6	6370	470
7	7867	470
0	8025	470

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

eval107.0ms (2%)

Memory: -22.2MiB live, 105.2MiB allocated
Compiler: Compiled 16 245 to 971 computations (94% saved)

prune53.0ms (1%)

Memory

-0.0MiB live, 157.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	478	0	478
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	478	8	486

Accuracy

100.0%

Counts

486 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.3%	(fma.f64 z x (*.f64 x y))
✓	61.1%	(fma.f64 z x (neg.f64 z))
✓	79.1%	(-.f64 (*.f64 x y) z)
✓	26.6%	(*.f64 z x)
✓	65.5%	(*.f64 x (+.f64 z y))
✓	44.7%	(*.f64 x y)
✓	37.5%	(neg.f64 z)
✓	2.8%	z

Compiler

Compiled 109 to 52 computations (52.3% saved)

regimes20.0ms (0.4%)

Memory

1.8MiB live, 39.9MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

Accuracy	Segments	Branch
98.8%	2	`x`
96.9%	1	`y`
96.9%	1	`z`
100.0%	2	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes18.0ms (0.3%)

Memory

9.5MiB live, 46.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

Accuracy	Segments	Branch
88.6%	3	`y`
92.3%	3	`z`
99.4%	3	`x`
88.2%	3	`(+.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

-8.0MiB live, 28.4MiB 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

4 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
3.0ms	x
3.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
73.9%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
70.1%	3	`y`
67.5%	2	`z`
85.6%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.3%)

Memory

-4.0MiB live, 38.2MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.9%	4	`z`
61.4%	3	`y`
58.4%	4	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
66.6%	4	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

10.3MiB live, 10.3MiB 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:

2.0ms

Results

Accuracy	Segments	Branch
64.9%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.2%)

Memory

-10.2MiB live, 28.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.5%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
37.5%	1	`z`
37.5%	1	`y`
37.5%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB 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	x
1.0ms	y

Results

Accuracy	Segments	Branch
2.8%	1	`x`
2.8%	1	`z`
2.8%	1	`y`
2.8%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.466821616787878e+300	4.9171513570472166e+306

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch30.0ms (0.6%)

Memory

6.1MiB live, 82.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.779008196002531e-38	2.615364314852362e-24
14.0ms	-4743091.756760996	-1.8690639420093112e-5

Samples

15.0ms

320×

valid

Compiler

Compiled 375 to 254 computations (32.3% saved)

Precisions

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

ival-mult: 4.0ms (52.6% of total)

ival-sub: 1.0ms (13.1% of total)

ival-add: 1.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.6%)

Memory

-12.7MiB live, 60.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.0285442876680914e-130	8.41214490936958e-128
17.0ms	-2.642939120761556e-47	-6.524456119946453e-62

Samples

13.0ms

288×

valid

Compiler

Compiled 285 to 212 computations (25.6% saved)

Precisions

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

ival-mult: 4.0ms (60.6% of total)

ival-sub: 1.0ms (15.1% of total)

ival-add: 1.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch43.0ms (0.8%)

Memory

36.6MiB live, 107.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	2.876664406513309e+77	3.8600691640968784e+79
11.0ms	2.615364314852362e-24	9.844969095289634e-19
18.0ms	-2.642939120761556e-47	-6.524456119946453e-62

Samples

27.0ms

416×

valid

Compiler

Compiled 360 to 274 computations (23.9% saved)

Precisions

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

ival-mult: 11.0ms (71.5% of total)

ival-sub: 2.0ms (13% of total)

ival-add: 2.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

bsearch36.0ms (0.7%)

Memory

-13.7MiB live, 80.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.0285442876680914e-130	8.41214490936958e-128
23.0ms	-2.642939120761556e-47	-6.524456119946453e-62

Samples

25.0ms

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 (58.7% of total)

ival-sub: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Memory

9.7MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`if-if-or-not_binary32`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	101
1	66	101
2	72	101
3	78	101

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) (*.f64 x (+.f64 z y)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 110591769249305/42535295865117307932921825928971026432 binary64)) (-.f64 (.f64 x y) z) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 3999740330092365/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -8558165470020299/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4984604984193435/5192296858534827628530496329220096 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 309999999999999998519261251140792817218726720232239528470610057753917382459392 binary64)) (.f64 z x) (*.f64 x y))))
(if (<=.f64 x #s(literal -1457648828442167/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7804371375789981/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568 binary64)) (neg.f64 z) (.f64 x y)))
(neg.f64 z)
z

Outputs
(if (<=.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) (*.f64 x (+.f64 z y)))
(if (<=.f64 (+.f64 (.f64 x y) (.f64 (+.f64 x #s(literal -1 binary64)) z)) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (+.f64 (.f64 x y) (.f64 (+.f64 x #s(literal -1 binary64)) z)) (*.f64 x (+.f64 y z)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 110591769249305/42535295865117307932921825928971026432 binary64)) (-.f64 (.f64 x y) z) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 y z)) (if (<=.f64 x #s(literal 110591769249305/42535295865117307932921825928971026432 binary64)) (-.f64 (.f64 x y) z) (*.f64 x (+.f64 y z))))
(if (<=.f64 x #s(literal -4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 3999740330092365/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) (.f64 x (+.f64 y z)) (if (<=.f64 x #s(literal 3999740330092365/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) (neg.f64 z) (.f64 x (+.f64 y z))))
(if (<=.f64 x #s(literal -8558165470020299/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4984604984193435/5192296858534827628530496329220096 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 309999999999999998519261251140792817218726720232239528470610057753917382459392 binary64)) (.f64 z x) (*.f64 x y))))
(if (<=.f64 x #s(literal -8558165470020299/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4984604984193435/5192296858534827628530496329220096 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 309999999999999998519261251140792817218726720232239528470610057753917382459392 binary64)) (.f64 x z) (*.f64 x y))))
(if (<=.f64 x #s(literal -1457648828442167/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7804371375789981/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568 binary64)) (neg.f64 z) (.f64 x y)))
(neg.f64 z)
z

soundness853.0ms (16.3%)

Memory

8.5MiB live, 505.4MiB allocated

Rules

9 326×	`accelerator-lowering-fma.f32`
9 326×	`accelerator-lowering-fma.f64`
6 178×	`accelerator-lowering-fma.f32`
6 178×	`accelerator-lowering-fma.f64`
6 146×	`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	71	595
1	237	595
2	647	595
3	1555	595
4	2937	595
5	4224	595
6	6391	595
7	7616	595
0	8174	595
0	10	23
1	60	23
2	487	22
3	6031	22
0	8841	20

Stop Event

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

Compiler

Compiled 210 to 108 computations (48.6% saved)

preprocess151.0ms (2.9%)

Memory: -35.2MiB live, 153.7MiB allocated
Compiler: Compiled 252 to 100 computations (60.3% 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	10	41
1	25	41
2	40	41
3	65	41
4	105	41
5	209	41
6	363	41
7	483	41
8	546	41
9	548	41
0	548	41

Iter	Nodes	Cost
0	7	30
1	12	28
2	21	28
3	28	28
4	42	28
5	69	28
6	120	28
7	188	28
8	309	28
9	478	28
10	500	28
0	500	28

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	10	41
1	25	41
2	40	41
3	65	41
4	105	41
5	209	41
6	363	41
7	483	41
8	546	41
9	548	41
0	548	41

Iter	Nodes	Cost
0	7	30
1	12	28
2	21	28
3	28	28
4	42	28
5	69	28
6	120	28
7	188	28
8	309	28
9	478	28
10	500	28
0	500	28

analyze0.0ms (0%)

sample981.0ms (18.7%)

preprocess92.0ms (1.8%)

explain76.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.6%)

localize23.0ms (0.4%)

series6.0ms (0.1%)

rewrite527.0ms (10.1%)

simplify362.0ms (6.9%)

eval67.0ms (1.3%)

prune45.0ms (0.9%)

simplify24.0ms (0.5%)

localize37.0ms (0.7%)

series14.0ms (0.3%)

rewrite343.0ms (6.6%)

simplify360.0ms (6.9%)

eval74.0ms (1.4%)

prune72.0ms (1.4%)

simplify32.0ms (0.6%)

localize23.0ms (0.4%)

series20.0ms (0.4%)

rewrite403.0ms (7.7%)

simplify222.0ms (4.2%)

eval107.0ms (2%)

prune53.0ms (1%)

regimes20.0ms (0.4%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes15.0ms (0.3%)

regimes2.0ms (0%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch30.0ms (0.6%)

bsearch31.0ms (0.6%)

bsearch43.0ms (0.8%)

bsearch36.0ms (0.7%)

simplify13.0ms (0.2%)

soundness853.0ms (16.3%)

preprocess151.0ms (2.9%)

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	10	41
1	25	41
2	40	41
3	65	41
4	105	41
5	209	41
6	363	41
7	483	41
8	546	41
9	548	41
0	548	41

Iter	Nodes	Cost
0	7	30
1	12	28
2	21	28
3	28	28
4	42	28
5	69	28
6	120	28
7	188	28
8	309	28
9	478	28
10	500	28
0	500	28