Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample628.0ms (11.4%)

Memory

30.5MiB live, 964.7MiB allocated

Samples

424.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-mult: 114.0ms (54.5% of total)

ival-add: 43.0ms (20.6% of total)

ival-sub: 39.0ms (18.7% of total)

ival-true: 6.0ms (2.9% of total)

exact: 5.0ms (2.4% of total)

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

Bogosity

preprocess193.0ms (3.5%)

Memory

-1.6MiB live, 82.3MiB allocated

Algorithm

2×	egg-herbie

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
392×	`distribute-rgt-in`
378×	`unsub-neg`
312×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	99
1	82	90
2	190	90
3	555	75
4	1194	71
5	1997	70
6	2358	70
7	2398	70
8	2402	70
9	2402	70
0	8	9
1	15	9
2	25	9
3	48	9
4	103	8
5	151	7
6	242	7
7	394	7
8	554	7
9	626	7
10	628	7
0	628	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (* x y) (* (- 1 x) z))
(+ z (* x (- y z)))
(+ (* (neg x) y) (* (- 1 (neg x)) z))
(+ z (* x (- z y)))
(+ (* x (neg y)) (* (- 1 x) z))
(- z (* x (+ y z)))
(+ (* x y) (* (- 1 x) (neg z)))
(- (* x (+ y z)) z)
(neg (+ (* (neg x) y) (* (- 1 (neg x)) z)))
(- (* x (- y z)) z)
(neg (+ (* x (neg y)) (* (- 1 x) z)))
(- (* x (+ y z)) z)
(neg (+ (* x y) (* (- 1 x) (neg z))))
(- z (* x (+ y z)))
(+ (* y x) (* (- 1 y) z))
(+ z (* y (- x z)))
(+ (* z y) (* (- 1 z) x))
(+ x (* z (- y x)))
(+ (* x z) (* (- 1 x) y))
(+ y (* x (- z y)))

explain207.0ms (3.8%)

Memory

-13.8MiB live, 147.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	42

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-mult: 7.0ms (57.2% of total)

ival-sub: 3.0ms (24.5% of total)

ival-add: 2.0ms (16.3% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify33.0ms (0.6%)

Memory

24.4MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	448	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	626	22
10	628	22
0	628	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

8.1MiB live, 45.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	accuracy	98.4%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

13.0ms

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 (50.3% of total)

ival-sub: 1.0ms (16.8% of total)

ival-add: 1.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-28.8MiB live, 12.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* (- 1 x) z)
1.0ms	x	@	inf	(+ (* x y) (* (- 1 x) z))
1.0ms	x	@	-inf	(* x y)
1.0ms	y	@	0	(+ (* x y) (* (- 1 x) z))
0.0ms	x	@	0	(+ (* x y) (* (- 1 x) z))

rewrite707.0ms (12.8%)

Memory

25.6MiB live, 555.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 772×	`-lowering-.f32`
6 772×	`-lowering-.f64`
6 392×	`accelerator-lowering-fma.f32`
6 392×	`accelerator-lowering-fma.f64`
3 490×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	40	20
2	310	20
3	3844	20
0	11249	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 317

Calls

Call 1

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

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

simplify256.0ms (4.6%)

Memory

-16.2MiB live, 387.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`accelerator-lowering-fma.f32`
7 472×	`accelerator-lowering-fma.f64`
2 438×	`-lowering-.f32`
2 438×	`-lowering-.f64`
1 490×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	471
1	192	442
2	558	442
3	1390	442
4	3891	442
5	6310	442
0	8026	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval163.0ms (3%)

Memory: 14.6MiB live, 130.2MiB allocated
Compiler: Compiled 11 207 to 1 110 computations (90.1% saved)

prune50.0ms (0.9%)

Memory

1.5MiB live, 122.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	407	6	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	6	414

Accuracy

100.0%

Counts

414 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (-.f64 y z) z)
	64.5%	(-.f64 z (*.f64 z x))
▶	72.3%	(+.f64 (*.f64 x y) z)
▶	66.8%	(*.f64 x (-.f64 y z))
▶	39.8%	(*.f64 x y)
▶	34.9%	z

Compiler

Compiled 86 to 54 computations (37.2% saved)

simplify32.0ms (0.6%)

Memory

-17.8MiB live, 58.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	41
1	14	41
2	23	41
3	44	41
4	80	41
5	126	41
6	217	41
7	366	41
8	586	41
9	673	41
10	695	41
0	695	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize32.0ms (0.6%)

Memory

-13.6MiB live, 66.1MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 4.0ms (43.9% of total)

ival-mult: 3.0ms (33% of total)

ival-add: 2.0ms (22% of total)

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

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

series6.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite362.0ms (6.6%)

Memory

21.6MiB live, 539.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 172×	`accelerator-lowering-fma.f32`
6 172×	`accelerator-lowering-fma.f64`
4 834×	`-lowering-.f32`
4 834×	`-lowering-.f64`
2 908×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	47	23
2	392	23
3	4922	23
0	9192	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 301

Calls

Call 1

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

Outputs
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 (*.f64 x (-.f64 y z)) z)
(+.f64 (*.f64 x y) (fma.f64 x (neg.f64 z) z))
(+.f64 (fma.f64 x y z) (*.f64 x (neg.f64 z)))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y z) (-.f64 y z)) (fma.f64 x (-.f64 y z) (neg.f64 z)))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (-.f64 y z) (neg.f64 z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) z))) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y z) (-.f64 y z)) (fma.f64 x (-.f64 y z) (neg.f64 z)))) (/.f64 (.f64 z z) (fma.f64 x (-.f64 y z) (neg.f64 z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 x (-.f64 y z)))) (/.f64 (.f64 x (.f64 x (.f64 (-.f64 y z) (-.f64 y z)))) (-.f64 z (.f64 x (-.f64 y z)))))
(fma.f64 x y (fma.f64 x (neg.f64 z) z))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (/.f64 (.f64 x (.f64 (-.f64 y z) (-.f64 y z))) (fma.f64 x (-.f64 y z) (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y z) (neg.f64 z)))))
(fma.f64 y x (fma.f64 x (neg.f64 z) z))
(fma.f64 y (exp.f64 (log.f64 x)) (fma.f64 x (neg.f64 z) z))
(fma.f64 (-.f64 y z) x z)
(fma.f64 (-.f64 y z) (/.f64 (.f64 (-.f64 y z) (.f64 x x)) (fma.f64 x (-.f64 y z) (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y z) (neg.f64 z)))))
(fma.f64 (.f64 x (-.f64 y z)) (/.f64 (.f64 x (-.f64 y z)) (fma.f64 x (-.f64 y z) (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (-.f64 y z) (neg.f64 z)))))
(fma.f64 (fma.f64 x y z) (.f64 (-.f64 (.f64 x y) z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z))) (.f64 x (neg.f64 z)))
(fma.f64 (fma.f64 x y z) (/.f64 (-.f64 (.f64 x y) z) (-.f64 (.f64 x y) z)) (*.f64 x (neg.f64 z)))
(fma.f64 (.f64 x (.f64 x (.f64 (-.f64 y z) (-.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) (neg.f64 z))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 x (-.f64 y z) (neg.f64 z)))))
(fma.f64 (.f64 (fma.f64 x y z) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z))) (.f64 x (neg.f64 z)))
(fma.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z)) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z)))) (.f64 x (neg.f64 z)))
(fma.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z)) (/.f64 (fma.f64 x y z) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z))) (*.f64 x (neg.f64 z)))
(fma.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))) x) z)
(fma.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 x (fma.f64 y y (.f64 z (+.f64 y z)))) z)
(fma.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 (-.f64 y z) (+.f64 y z)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) x) z)
(fma.f64 (*.f64 (-.f64 y z) (+.f64 y z)) (/.f64 x (+.f64 y z)) z)
(fma.f64 (neg.f64 (.f64 (fma.f64 x y z) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) z) (.f64 z z)))) (.f64 x (neg.f64 z)))
(fma.f64 (neg.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x y) z))) (.f64 x (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) (*.f64 x (neg.f64 z)))
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simplify322.0ms (5.9%)

Memory

-17.6MiB live, 457.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 132×	`accelerator-lowering-fma.f32`
8 132×	`accelerator-lowering-fma.f64`
2 782×	`-lowering-.f32`
2 782×	`-lowering-.f64`
1 576×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	687
1	299	684
2	854	684
3	2186	684
4	4355	684
5	6093	684
6	7432	684
0	8140	630

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval210.0ms (3.8%)

Memory: 12.7MiB live, 165.3MiB allocated
Compiler: Compiled 12 723 to 870 computations (93.2% saved)

prune133.0ms (2.4%)

Memory

-13.7MiB live, 107.1MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	583	3	586
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	586	6	592

Accuracy

100.0%

Counts

592 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.3%	(fma.f64 y x z)
▶	64.5%	(fma.f64 x (neg.f64 z) z)
▶	31.7%	(*.f64 z (neg.f64 x))
✓	66.8%	(*.f64 x (-.f64 y z))
✓	39.8%	(*.f64 x y)
✓	34.9%	z

Compiler

Compiled 40 to 26 computations (35% saved)

simplify21.0ms (0.4%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

288×	`accelerator-lowering-fma.f32`
288×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
88×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	25	25
2	36	25
3	56	25
4	77	25
5	132	25
6	191	25
7	311	25
8	346	25
9	395	25
10	412	25
11	417	25
12	419	25
0	419	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (0.7%)

Memory

-15.3MiB live, 58.1MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

29.0ms

256×

valid

Compiler

Compiled 26 to 12 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-neg: 12.0ms (63.6% of total)

ival-mult: 5.0ms (26.5% of total)

ival-add: 2.0ms (10.6% of total)

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

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

series3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite363.0ms (6.6%)

Memory

-25.7MiB live, 592.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 204×	`accelerator-lowering-fma.f32`
6 204×	`accelerator-lowering-fma.f64`
4 694×	`-lowering-.f32`
4 694×	`-lowering-.f64`
2 298×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	48	18
2	322	18
3	3425	16
0	10843	14

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 363

Calls

Call 1

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

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

simplify233.0ms (4.2%)

Memory

16.3MiB live, 300.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 580×	`accelerator-lowering-fma.f32`
3 580×	`accelerator-lowering-fma.f64`
2 608×	`-lowering-.f32`
2 608×	`-lowering-.f64`
2 266×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	433
1	148	412
2	369	412
3	886	412
4	2127	412
5	3440	412
6	5047	412
7	6114	412
8	6837	412
9	7432	412
0	8008	385

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval62.0ms (1.1%)

Memory: -8.7MiB live, 140.4MiB allocated
Compiler: Compiled 9 201 to 883 computations (90.4% saved)

prune56.0ms (1%)

Memory

18.2MiB live, 177.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	471	0	471
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	471	6	477

Accuracy

100.0%

Counts

477 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.3%	(fma.f64 y x z)
✓	64.5%	(fma.f64 x (neg.f64 z) z)
✓	31.7%	(*.f64 z (neg.f64 x))
✓	66.8%	(*.f64 x (-.f64 y z))
✓	39.8%	(*.f64 x y)
✓	34.9%	z

Compiler

Compiled 90 to 45 computations (50% saved)

regimes16.0ms (0.3%)

Memory

14.7MiB live, 54.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(fma.f64 x (-.f64 y z) z)

Calls

4 calls:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.3%)

Memory

-2.9MiB live, 36.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.7%	3	`x`
88.5%	3	`y`
92.2%	3	`z`
87.0%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes21.0ms (0.4%)

Memory

-28.7MiB live, 33.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
75.8%	2	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
72.3%	1	`y`
75.6%	2	`z`
78.2%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.2%)

Memory

-16.8MiB live, 22.7MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x z)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
72.3%	1	`y`
72.3%	1	`z`
72.3%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
72.3%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.6%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
61.3%	3	`x`
55.2%	3	`y`
53.5%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

-21.1MiB live, 18.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

4 calls:

2.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
34.9%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
34.9%	1	`z`
34.9%	1	`y`
34.9%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch23.0ms (0.4%)

Memory

30.2MiB live, 30.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.468997762981928e-5	817.3890490237718
10.0ms	-711739.7292447134	-481.13307109087174

Samples

12.0ms

272×

valid

Compiler

Compiled 304 to 201 computations (33.9% saved)

Precisions

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

ival-mult: 3.0ms (49.1% 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)

bsearch45.0ms (0.8%)

Memory

-9.1MiB live, 29.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.687916521530334e+182	1.638569106524974e+187
34.0ms	-83210430085797.19	-7844207441048.506

Samples

36.0ms

224×

valid

Compiler

Compiled 239 to 168 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 27.0ms (86.7% of total)

ival-mult: 3.0ms (9.6% of total)

ival-sub: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch97.0ms (1.8%)

Memory

-24.3MiB live, 17.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
85.0ms	4.5021092475503337e-91	1.0253251546745237e-89
10.0ms	-1.184149680696516	-3.659008560642321e-5

Samples

88.0ms

240×

valid

Compiler

Compiled 195 to 149 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 80.0ms (97.6% of total)

ival-sub: 1.0ms (1.2% of total)

ival-add: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	59
1	50	59
2	60	59
3	66	59
4	68	59

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(if (<=.f64 x #s(literal -490 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 y x z) (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -10500000000000 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal 249999999999999994904261042188428792776782362966710413016908029739362113696390277509042861527598996269650627847907393029720877439684095065379723694980019764651077213735494306479483125760 binary64)) (fma.f64 y x z) (.f64 z (neg.f64 x))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -2582544170319337/36893488147419103232 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) z (.f64 x y)))
z

Outputs
(fma.f64 x (-.f64 y z) z)
(if (<=.f64 x #s(literal -490 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 y x z) (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -10500000000000 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal 249999999999999994904261042188428792776782362966710413016908029739362113696390277509042861527598996269650627847907393029720877439684095065379723694980019764651077213735494306479483125760 binary64)) (fma.f64 y x z) (.f64 z (neg.f64 x))))
(if (<=.f64 x #s(literal -10500000000000 binary64)) (.f64 x (neg.f64 z)) (if (<=.f64 x #s(literal 249999999999999994904261042188428792776782362966710413016908029739362113696390277509042861527598996269650627847907393029720877439684095065379723694980019764651077213735494306479483125760 binary64)) (fma.f64 y x z) (.f64 x (neg.f64 z))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -2582544170319337/36893488147419103232 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) z (.f64 x y)))
z

soundness1.0s (18.5%)

Memory

6.8MiB live, 430.5MiB allocated

Rules

8 132×	`accelerator-lowering-fma.f32`
8 132×	`accelerator-lowering-fma.f64`
7 472×	`accelerator-lowering-fma.f32`
7 472×	`accelerator-lowering-fma.f64`
6 172×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	471
1	192	442
2	558	442
3	1390	442
4	3891	442
5	6310	442
0	8026	415
0	8	23
1	47	23
2	392	23
3	4922	23
0	9192	21
0	89	687
1	299	684
2	854	684
3	2186	684
4	4355	684
5	6093	684
6	7432	684
0	8140	630

Stop Event

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

Compiler

Compiled 162 to 85 computations (47.5% saved)

preprocess92.0ms (1.7%)

Memory: -16.2MiB live, 188.2MiB allocated
Compiler: Compiled 166 to 72 computations (56.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	626	22
10	628	22
0	628	21

Iter	Nodes	Cost
0	8	41
1	14	41
2	23	41
3	44	41
4	80	41
5	126	41
6	217	41
7	366	41
8	586	41
9	673	41
10	695	41
0	695	39

Iter	Nodes	Cost
0	10	26
1	25	25
2	36	25
3	56	25
4	77	25
5	132	25
6	191	25
7	311	25
8	346	25
9	395	25
10	412	25
11	417	25
12	419	25
0	419	24

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	626	22
10	628	22
0	628	21

Iter	Nodes	Cost
0	8	41
1	14	41
2	23	41
3	44	41
4	80	41
5	126	41
6	217	41
7	366	41
8	586	41
9	673	41
10	695	41
0	695	39

Iter	Nodes	Cost
0	10	26
1	25	25
2	36	25
3	56	25
4	77	25
5	132	25
6	191	25
7	311	25
8	346	25
9	395	25
10	412	25
11	417	25
12	419	25
0	419	24

analyze0.0ms (0%)

sample628.0ms (11.4%)

preprocess193.0ms (3.5%)

explain207.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.6%)

localize23.0ms (0.4%)

series12.0ms (0.2%)

rewrite707.0ms (12.8%)

simplify256.0ms (4.6%)

eval163.0ms (3%)

prune50.0ms (0.9%)

simplify32.0ms (0.6%)

localize32.0ms (0.6%)

series6.0ms (0.1%)

rewrite362.0ms (6.6%)

simplify322.0ms (5.9%)

eval210.0ms (3.8%)

prune133.0ms (2.4%)

simplify21.0ms (0.4%)

localize40.0ms (0.7%)

series3.0ms (0.1%)

rewrite363.0ms (6.6%)

simplify233.0ms (4.2%)

eval62.0ms (1.1%)

prune56.0ms (1%)

regimes16.0ms (0.3%)

regimes14.0ms (0.3%)

regimes21.0ms (0.4%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch23.0ms (0.4%)

bsearch45.0ms (0.8%)

bsearch97.0ms (1.8%)

simplify10.0ms (0.2%)

soundness1.0s (18.5%)

preprocess92.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	626	22
10	628	22
0	628	21

Iter	Nodes	Cost
0	8	41
1	14	41
2	23	41
3	44	41
4	80	41
5	126	41
6	217	41
7	366	41
8	586	41
9	673	41
10	695	41
0	695	39

Iter	Nodes	Cost
0	10	26
1	25	25
2	36	25
3	56	25
4	77	25
5	132	25
6	191	25
7	311	25
8	346	25
9	395	25
10	412	25
11	417	25
12	419	25
0	419	24