Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, J

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample835.0ms (8.3%)

Memory

17.1MiB live, 1 124.9MiB allocated

Samples

605.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

ival-mult: 235.0ms (65.4% of total)

ival-sub: 112.0ms (31.2% of total)

ival-true: 5.0ms (1.4% of total)

exact: 4.0ms (1.1% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess220.0ms (2.2%)

Memory

-25.9MiB live, 169.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 608×	`unsub-neg`
1 232×	`accelerator-lowering-fma.f32`
1 232×	`accelerator-lowering-fma.f64`
788×	`distribute-lft-in`
690×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	105	82
2	285	81
3	1174	81
4	2720	81
5	4111	81
6	4516	81
7	4710	81
8	4796	81
9	4828	81
10	4879	81
11	4879	81
12	4879	81
13	4977	81
14	5005	81
0	8	9
1	19	9
2	48	9
3	149	9
4	438	9
5	940	9
6	1336	9
7	1641	9
8	1674	9
9	1674	9
0	1674	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain100.0ms (1%)

Memory

2.1MiB live, 230.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`	*no**	9	0

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

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

ival-mult: 9.0ms (60.5% of total)

ival-sub: 5.0ms (33.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify181.0ms (1.8%)

Memory

-19.1MiB live, 94.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

Rules

1 232×	`accelerator-lowering-fma.f32`
1 232×	`accelerator-lowering-fma.f64`
496×	`-lowering-.f32`
496×	`-lowering-.f64`
442×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	19	28
2	48	28
3	149	28
4	438	28
5	940	28
6	1336	28
7	1641	28
8	1674	28
9	1674	28
0	1674	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize21.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	accuracy	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Samples

13.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (51.1% of total)

ival-mult: 3.0ms (51.1% of total)

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

exact: 0.0ms (0% of total)

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

series166.0ms (1.7%)

Memory

-28.7MiB live, 10.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
159.0ms	y	@	-inf	(- 1 (* (- 1 y) z))
1.0ms	y	@	inf	(* x (- 1 (* (- 1 y) z)))
1.0ms	x	@	0	(* x (- 1 (* (- 1 y) z)))
1.0ms	z	@	-inf	(- 1 (* (- 1 y) z))
0.0ms	y	@	inf	(- 1 (* (- 1 y) z))

rewrite713.0ms (7.1%)

Memory

15.4MiB live, 498.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 326×	`accelerator-lowering-fma.f32`
4 326×	`accelerator-lowering-fma.f64`
3 522×	`/-lowering-/.f32`
3 522×	`/-lowering-/.f64`
3 346×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	42	24
2	324	24
3	3540	24
0	9420	22

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 445

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 z)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) y)))
(+.f64 z (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64))
(+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (neg.f64 y) z) z) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 z (.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z (neg.f64 y) z) (fma.f64 z (neg.f64 y) z)))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (neg.f64 y) z) z) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 (fma.f64 z (neg.f64 y) z) (.f64 z (+.f64 y #s(literal -1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (neg.f64 y) z) z) #s(literal 1 binary64))) (/.f64 (.f64 z (.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z (neg.f64 y) z) (fma.f64 z (neg.f64 y) z)))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (neg.f64 y) z) z) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 z (neg.f64 y) z) (.f64 z (+.f64 y #s(literal -1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) z (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (neg.f64 y) z) z) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 z (.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z (neg.f64 y) z) (fma.f64 z (neg.f64 y) z)))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (neg.f64 y) z) z) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 (fma.f64 z (neg.f64 y) z) (.f64 z (+.f64 y #s(literal -1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 z (neg.f64 y) z) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (neg.f64 y) z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (fma.f64 z (neg.f64 y) z) (fma.f64 z (neg.f64 y) z))) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (fma.f64 z (neg.f64 y) z) (.f64 z (+.f64 y #s(literal -1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) z) #s(literal 1 binary64))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 z (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (neg.f64 y) z) (.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) z) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 z (neg.f64 y) z) (.f64 z (+.f64 y #s(literal -1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (.f64 z (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(fma.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (fma.f64 z (neg.f64 y) z) (fma.f64 z (neg.f64 y) z))) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (fma.f64 z (neg.f64 y) z) z) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 (fma.f64 z (neg.f64 y) z) (.f64 z (+.f64 y #s(literal -1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
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simplify240.0ms (2.4%)

Memory

17.1MiB live, 483.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 140×	`accelerator-lowering-fma.f32`
7 140×	`accelerator-lowering-fma.f64`
2 672×	`-lowering-.f32`
2 672×	`-lowering-.f64`
1 336×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	613
1	234	592
2	630	592
3	1394	592
4	4056	592
5	6304	592
6	7507	592
0	8012	544

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval144.0ms (1.4%)

Memory: -38.4MiB live, 169.4MiB allocated
Compiler: Compiled 14 722 to 1 726 computations (88.3% saved)

prune116.0ms (1.2%)

Memory

17.9MiB live, 136.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	532	9	541
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	533	9	542

Accuracy

100.0%

Counts

542 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
	70.4%	(.f64 (.f64 x (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
	58.8%	(.f64 z (-.f64 (.f64 y x) x))
	37.8%	(.f64 z (.f64 y x))
▶	56.2%	(.f64 x (-.f64 (.f64 z y) z))
▶	84.3%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y))) z)))
	68.1%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
▶	35.2%	(.f64 x (.f64 z y))
▶	43.7%	x

Compiler

Compiled 210 to 128 computations (39% saved)

simplify439.0ms (4.4%)

Memory

-11.8MiB live, 468.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) z)
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y))) z)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) z))
✓	cost-diff	1536	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y)))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 (*.f64 z y) z)
✓	cost-diff	0	(.f64 x (-.f64 (.f64 z y) z))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(.f64 x (.f64 z y))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)

Rules

12 292×	`accelerator-lowering-fma.f32`
12 292×	`accelerator-lowering-fma.f64`
2 606×	`-lowering-.f32`
2 606×	`-lowering-.f64`
1 656×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	117
1	54	111
2	148	111
3	429	111
4	1474	111
5	3273	93
6	4938	93
7	5736	93
8	6360	93
9	6768	93
10	6776	93
11	6782	93
12	6850	93
13	6962	93
14	7067	93
15	7118	93
16	7140	93
17	7146	93
18	7150	93
19	7150	93
20	7861	93
0	8081	90

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize101.0ms (1%)

Memory

26.7MiB live, 103.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y))) z)))
✓	accuracy	78.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 (*.f64 z y) z)
✓	accuracy	96.6%	(.f64 x (-.f64 (.f64 z y) z))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	92.9%	(.f64 x (.f64 z y))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	98.4%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)

Samples

36.0ms

256×

valid

Compiler

Compiled 126 to 23 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 13.0ms (59.3% of total)

ival-add: 4.0ms (18.3% of total)

ival-sub: 3.0ms (13.7% of total)

ival-div: 2.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.3%)

Memory

-8.7MiB live, 27.3MiB allocated

Counts

13 → 312

Calls

Call 1

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

Outputs
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y 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 (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* -1 (* z (+ 1 (* -1 y))))>
#<alt (* -1 (* z (+ 1 (* -1 y))))>
#<alt (* -1 (* z (+ 1 (* -1 y))))>
#<alt (* -1 (* z (+ 1 (* -1 y))))>
#<alt (* -1 z)>
#<alt (- (* y z) z)>
#<alt (- (* y z) z)>
#<alt (- (* y z) z)>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (- 1 z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (* y z)>
#<alt (* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))>
#<alt (* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))>
#<alt (* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))>
#<alt (* y z)>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))>
#<alt 1>
#<alt (+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))>
#<alt (* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* -1 (/ (* z (- 1 (pow y 2))) (+ 1 y)))>
#<alt (* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))>
#<alt (* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))>
#<alt (* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 z))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))>
#<alt (+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))>
#<alt (+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))>
#<alt (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))>
#<alt (* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))>
#<alt (* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))>
#<alt (* -1 (/ (* x (* z (- 1 (pow y 2)))) (+ 1 y)))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))>
#<alt z>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))>

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x (- (* z y) z))
3.0ms	y	@	0	(* x (- (* z y) z))
2.0ms	x	@	0	(+ (* (+ y -1) (* z x)) x)
1.0ms	x	@	0	(* x (- 1 (* (* (/ 1 (+ 1 y)) (- 1 (* y y))) z)))
1.0ms	z	@	inf	(- 1 (* (* (/ 1 (+ 1 y)) (- 1 (* y y))) z))

rewrite806.0ms (8%)

Memory

-124.4MiB live, 841.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 676×	`accelerator-lowering-fma.f32`
12 676×	`accelerator-lowering-fma.f64`
5 716×	`-lowering-.f32`
5 716×	`-lowering-.f64`
2 952×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	93
1	128	69
2	1041	69
0	8593	66

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1 281

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x)))
(+.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) (fma.f64 x (*.f64 z #s(literal -1 binary64)) x))
(+.f64 (.f64 y (.f64 z x)) (fma.f64 x (neg.f64 z) x))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z (-.f64 (.f64 y z) z)))) (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x) (neg.f64 x)))))
(+.f64 (.f64 (.f64 z x) #s(literal -1 binary64)) (fma.f64 y (*.f64 z x) x))
(+.f64 (.f64 x (neg.f64 z)) (fma.f64 y (.f64 z x) x))
(+.f64 (+.f64 x (.f64 y (.f64 z x))) (.f64 (.f64 z x) #s(literal -1 binary64)))
(+.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 x (neg.f64 z)))
(+.f64 (+.f64 x (.f64 (.f64 z x) #s(literal -1 binary64))) (.f64 y (.f64 z x)))
(+.f64 (+.f64 x (.f64 x (neg.f64 z))) (.f64 y (*.f64 z x)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z (-.f64 (.f64 y z) z)))) (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 x (.f64 z (-.f64 #s(literal 1 binary64) y))))) (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z (-.f64 (.f64 y z) z)))) (+.f64 x (.f64 x (.f64 z (-.f64 #s(literal 1 binary64) y))))))
(fma.f64 y (.f64 z x) (fma.f64 x (.f64 z #s(literal -1 binary64)) x))
(fma.f64 y (*.f64 z x) (fma.f64 x (neg.f64 z) x))
(fma.f64 y (.f64 #s(literal 1 binary64) (.f64 z x)) (fma.f64 x (*.f64 z #s(literal -1 binary64)) x))
(fma.f64 y (.f64 #s(literal 1 binary64) (.f64 z x)) (fma.f64 x (neg.f64 z) x))
(fma.f64 #s(literal -1 binary64) (.f64 z x) (fma.f64 y (.f64 z x) x))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 z (-.f64 #s(literal 1 binary64) y))) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 z x) #s(literal 1 binary64)) x)
(fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x) x)
(fma.f64 z (.f64 x y) (fma.f64 x (.f64 z #s(literal -1 binary64)) x))
(fma.f64 z (*.f64 x y) (fma.f64 x (neg.f64 z) x))
(fma.f64 z (fma.f64 y x (neg.f64 x)) x)
(fma.f64 z (.f64 y x) (fma.f64 x (.f64 z #s(literal -1 binary64)) x))
(fma.f64 z (*.f64 y x) (fma.f64 x (neg.f64 z) x))
(fma.f64 z (.f64 x #s(literal -1 binary64)) (fma.f64 y (.f64 z x) x))
(fma.f64 x (.f64 y z) (fma.f64 x (.f64 z #s(literal -1 binary64)) x))
(fma.f64 x (*.f64 y z) (fma.f64 x (neg.f64 z) x))
(fma.f64 x #s(literal 1 binary64) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x)))
(fma.f64 x (neg.f64 z) (fma.f64 y (*.f64 z x) x))
(fma.f64 x (-.f64 (*.f64 y z) z) x)
(fma.f64 x (.f64 z #s(literal -1 binary64)) (fma.f64 y (.f64 z x) x))
(fma.f64 (.f64 z x) y (fma.f64 x (.f64 z #s(literal -1 binary64)) x))
(fma.f64 (*.f64 z x) y (fma.f64 x (neg.f64 z) x))
(fma.f64 (.f64 z x) #s(literal -1 binary64) (fma.f64 y (.f64 z x) x))
(fma.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 (.f64 y z) x (fma.f64 x (.f64 z #s(literal -1 binary64)) x))
(fma.f64 (*.f64 y z) x (fma.f64 x (neg.f64 z) x))
(fma.f64 (.f64 y (.f64 z x)) #s(literal 1 binary64) (fma.f64 x (*.f64 z #s(literal -1 binary64)) x))
(fma.f64 (.f64 y (.f64 z x)) #s(literal 1 binary64) (fma.f64 x (neg.f64 z) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x)))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z x)) (fma.f64 x (*.f64 z #s(literal -1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z x)) (fma.f64 x (neg.f64 z) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 (.f64 z (fma.f64 y y #s(literal -1 binary64))) x) x)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (neg.f64 z)) x)
(fma.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (*.f64 z x)) x)
(fma.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z (-.f64 (.f64 y z) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x) (neg.f64 x)))))
(fma.f64 (.f64 (.f64 z (fma.f64 y (.f64 y z) (fma.f64 y z z))) (-.f64 (.f64 y z) z)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 y (*.f64 y z) (fma.f64 y z z)))) x) x)
(fma.f64 (neg.f64 z) x (fma.f64 y (*.f64 z x) x))
(fma.f64 (neg.f64 z) (*.f64 (-.f64 #s(literal 1 binary64) y) x) x)
(fma.f64 (-.f64 (*.f64 y z) z) x x)
(fma.f64 (.f64 z (-.f64 (.f64 y (.f64 y z)) z)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z z)) x) x)
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 z x)) x)
(fma.f64 (neg.f64 x) z (fma.f64 y (*.f64 z x) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 y (neg.f64 y)) z z) x) x)
(fma.f64 (*.f64 x (neg.f64 z)) (-.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) z x)
(fma.f64 (.f64 x y) z (fma.f64 x (.f64 z #s(literal -1 binary64)) x))
(fma.f64 (*.f64 x y) z (fma.f64 x (neg.f64 z) x))
(fma.f64 (fma.f64 y x (neg.f64 x)) z x)
(fma.f64 (.f64 y x) z (fma.f64 x (.f64 z #s(literal -1 binary64)) x))
(fma.f64 (*.f64 y x) z (fma.f64 x (neg.f64 z) x))
(fma.f64 (.f64 x (.f64 (.f64 z (fma.f64 y (.f64 y z) (fma.f64 y z z))) (-.f64 (.f64 y z) z))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 y (*.f64 y z) (fma.f64 y z z)))) x)
(fma.f64 (.f64 x (.f64 z (-.f64 (.f64 y (.f64 y z)) z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z z)) x)
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simplify360.0ms (3.6%)

Memory

-0.1MiB live, 482.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 040×	`accelerator-lowering-fma.f32`
9 040×	`accelerator-lowering-fma.f64`
3 126×	`-lowering-.f32`
3 126×	`-lowering-.f64`
2 290×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	2231
1	501	2084
2	1403	2028
3	3984	2026
4	7436	2026
0	8159	1900

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y 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))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 (* z (+ 1 (* -1 y))))
(* -1 (* z (+ 1 (* -1 y))))
(* -1 (* z (+ 1 (* -1 y))))
(* -1 (* z (+ 1 (* -1 y))))
(* -1 z)
(- (* y z) z)
(- (* y z) z)
(- (* y z) z)
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* y z)
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))
(* y z)
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
1
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(* -1 (/ (* z (- 1 (pow y 2))) (+ 1 y)))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
x
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(* -1 (/ (* x (* z (- 1 (pow y 2)))) (+ 1 y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
z
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* -1 (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))

Outputs
(+ x (* -1 (* x z)))
(-.f64 x (*.f64 x z))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(.f64 (.f64 x z) y)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(.f64 (.f64 x z) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
x
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
y
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* x (* y z))
(.f64 (.f64 x z) y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (- (* y z) z))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* z (- y 1)))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 z (-.f64 (.f64 x y) x))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 z (-.f64 (.f64 x y) x))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* y z))
(.f64 (.f64 x z) y)
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 z (-.f64 (.f64 x y) x))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 z (-.f64 (.f64 x y) x))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* y z))
(.f64 (.f64 x z) y)
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 z (-.f64 (.f64 x y) x))
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* -1 (* z (+ 1 (* -1 y))))
(-.f64 (*.f64 z y) z)
(* -1 (* z (+ 1 (* -1 y))))
(-.f64 (*.f64 z y) z)
(* -1 (* z (+ 1 (* -1 y))))
(-.f64 (*.f64 z y) z)
(* -1 (* z (+ 1 (* -1 y))))
(-.f64 (*.f64 z y) z)
(* -1 z)
(neg.f64 z)
(- (* y z) z)
(-.f64 (*.f64 z y) z)
(- (* y z) z)
(-.f64 (*.f64 z y) z)
(- (* y z) z)
(-.f64 (*.f64 z y) z)
(* y z)
(*.f64 z y)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 z y) z)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 z y) z)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 z y) z)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 z y) z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 z y) z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 z y) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 (* y z)) z)
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(- (+ 1 (* y z)) z)
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(- (+ 1 (* y z)) z)
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* y z)
(*.f64 z y)
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* y z)
(*.f64 z y)
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
1
#s(literal 1 binary64)
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(* -1 (/ (* z (- 1 (pow y 2))) (+ 1 y)))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (- 1 z))
(-.f64 x (*.f64 x z))
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(.f64 (.f64 x z) y)
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(.f64 (.f64 x z) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
x
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(.f64 (.f64 x z) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* -1 (/ (* x (* z (- 1 (pow y 2)))) (+ 1 y)))
(.f64 (.f64 x z) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) x) x)
z
(+ z (* -1 (* y z)))
(-.f64 z (*.f64 z y))
(+ z (* -1 (* y z)))
(-.f64 z (*.f64 z y))
(+ z (* -1 (* y z)))
(-.f64 z (*.f64 z y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* y (+ (* -1 z) (/ z y)))
(-.f64 z (*.f64 z y))
(* y (+ (* -1 z) (/ z y)))
(-.f64 z (*.f64 z y))
(* y (+ (* -1 z) (/ z y)))
(-.f64 z (*.f64 z y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(-.f64 z (*.f64 z y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(-.f64 z (*.f64 z y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(-.f64 z (*.f64 z y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y)))) y)

eval220.0ms (2.2%)

Memory: 25.3MiB live, 530.0MiB allocated
Compiler: Compiled 34 424 to 3 803 computations (89% saved)

prune253.0ms (2.5%)

Memory

-16.6MiB live, 416.0MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 614	8	1 622
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 620	11	1 631

Accuracy

100.0%

Counts

1 631 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.2%	(fma.f64 y (*.f64 z x) x)
▶	58.0%	(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
	56.1%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) z)))
▶	58.0%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x))
	38.8%	(.f64 (.f64 z x) y)
▶	37.8%	(.f64 (.f64 y x) z)
▶	27.8%	(*.f64 z (neg.f64 x))
	31.4%	(.f64 x (/.f64 (.f64 z (-.f64 (.f64 y (.f64 y z)) z)) (fma.f64 y z z)))
	68.1%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	35.2%	(.f64 x (.f64 z y))
✓	43.7%	x

Compiler

Compiled 198 to 128 computations (35.4% saved)

simplify55.0ms (0.6%)

Memory

33.8MiB live, 72.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	1088	(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 (.f64 y x) z)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 z (neg.f64 x))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(fma.f64 y (*.f64 z x) x)

Rules

736×	`accelerator-lowering-fma.f32`
736×	`accelerator-lowering-fma.f64`
416×	`-lowering-.f32`
416×	`-lowering-.f64`
160×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	38	72
2	74	72
3	115	72
4	183	72
5	273	72
6	568	72
7	803	72
8	965	72
9	1141	72
10	1152	72
11	1154	72
12	1158	72
0	1158	71

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize133.0ms (1.3%)

Memory

-9.2MiB live, 121.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
✓	accuracy	95.7%	(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	95.7%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	93.6%	(.f64 (.f64 y x) z)
✓	accuracy	100.0%	(*.f64 z (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	95.1%	(fma.f64 y (*.f64 z x) x)

Samples

103.0ms

256×

valid

Compiler

Compiled 75 to 18 computations (76% saved)

Precisions

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

ival-mult: 9.0ms (54.6% of total)

ival-div: 3.0ms (18.2% of total)

ival-add: 2.0ms (12.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-21.3MiB live, 16.2MiB allocated

Counts

10 → 252

Calls

Call 1

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

Outputs
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* -1 (* 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 (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt -1>
#<alt (- (* -1 y) 1)>
#<alt (- (* y (- (* -1 y) 1)) 1)>
#<alt (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 y)) y)>
#<alt (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)>
#<alt (/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 y)) y)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))>

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(* z x)
0.0ms	z	@	0	(* z (neg x))
0.0ms	x	@	0	(* y x)
0.0ms	x	@	-inf	(+ (* y (* z x)) x)
0.0ms	z	@	0	(* (+ y -1) (* z x))

rewrite437.0ms (4.4%)

Memory

-3.6MiB live, 686.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 470×	`accelerator-lowering-fma.f32`
6 470×	`accelerator-lowering-fma.f64`
4 822×	`-lowering-.f32`
4 822×	`-lowering-.f64`
2 160×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	76	46
2	481	46
3	4908	46
0	8384	45

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 730

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 y z)))
(+.f64 (.f64 x (.f64 y z)) x)
(+.f64 (/.f64 (.f64 y (.f64 z (.f64 x (.f64 x (.f64 y z))))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z x) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 y (.f64 z (.f64 x (.f64 x (.f64 y z))))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 y z #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 y z)))) (/.f64 (.f64 y (.f64 z (.f64 x (.f64 x (.f64 y z))))) (-.f64 x (.f64 x (.f64 y z)))))
(fma.f64 y (*.f64 z x) x)
(fma.f64 y (/.f64 (.f64 z (.f64 x (.f64 x (.f64 y z)))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 y (exp.f64 (log.f64 (*.f64 z x))) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 z (/.f64 (.f64 y (.f64 x (.f64 x (.f64 y z)))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 y z)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 x (exp.f64 (log.f64 (*.f64 y z))) x)
(fma.f64 (*.f64 z x) y x)
(fma.f64 (*.f64 z x) (neg.f64 (neg.f64 y)) x)
(fma.f64 (.f64 z x) (/.f64 (.f64 y (.f64 x (.f64 y z))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 x (.f64 y z)) #s(literal 1 binary64) x)
(fma.f64 (.f64 x (.f64 y z)) (/.f64 (.f64 x (.f64 y z)) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (*.f64 y x) z x)
(fma.f64 (.f64 y x) (/.f64 (.f64 z (.f64 x (.f64 y z))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 y (.f64 z (.f64 x (.f64 x (.f64 y z))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 y y) (/.f64 (.f64 z (.f64 z (.f64 x x))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (*.f64 y z) x x)
(fma.f64 (.f64 y z) (/.f64 (.f64 x (.f64 x (.f64 y z))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 z (.f64 z (.f64 x x))) (/.f64 (.f64 y y) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 z z) (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 y (.f64 y (.f64 x x))) (/.f64 (.f64 z z) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 (.f64 y y) (.f64 z z)) (/.f64 (.f64 x x) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 z (.f64 y (.f64 x (.f64 y z)))) (/.f64 x (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 z (.f64 x (.f64 x (.f64 y z)))) (/.f64 y (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 y (.f64 x (.f64 x (.f64 y z)))) (/.f64 z (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 y (.f64 x (.f64 y z))) (/.f64 (.f64 z x) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (.f64 z (.f64 x (.f64 y z))) (/.f64 (.f64 y x) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 y (.f64 z (.f64 x (.f64 x (.f64 y z))))) (.f64 (fma.f64 y (.f64 z x) x) (.f64 x (fma.f64 y z #s(literal -1 binary64))))) (fma.f64 y (.f64 z x) x) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (/.f64 (.f64 y (.f64 z (.f64 x (.f64 x (.f64 y z))))) (-.f64 (.f64 (.f64 z (.f64 y (.f64 x (.f64 y z)))) (.f64 x (.f64 x (.f64 y z)))) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 z (.f64 x (.f64 x (.f64 y z)))) (.f64 x (fma.f64 y (.f64 z x) x))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (log.f64 (*.f64 y x))) (exp.f64 (log.f64 z)) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 y z))) x x)
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 y x))) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 z x))) y x)
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (.f64 x (.f64 y z)) (.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 x x)))))
(neg.f64 (/.f64 (.f64 (fma.f64 y (.f64 z x) x) (.f64 x (fma.f64 y z #s(literal -1 binary64)))) (neg.f64 (.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 y z)) (.f64 x (fma.f64 y z #s(literal -1 binary64))) (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 z x) x) (.f64 x (fma.f64 y z #s(literal -1 binary64))))) (.f64 x (fma.f64 y z #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 y z))) (.f64 x (-.f64 x (.f64 z (.f64 y (.f64 x (*.f64 y z))))))))
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(exp.f64 (neg.f64 (log.f64 (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))
(-.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))))
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
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(/.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (fma.f64 y y (+.f64 (neg.f64 y) #s(literal -1 binary64)))) (.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y (+.f64 (neg.f64 y) #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (+.f64 y #s(literal 1 binary64)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (fma.f64 y y (+.f64 (neg.f64 y) #s(literal -1 binary64))))) (.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) (fma.f64 y y (+.f64 (neg.f64 y) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (+.f64 y #s(literal 1 binary64)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (fma.f64 y y (+.f64 (neg.f64 y) #s(literal -1 binary64))))) (fma.f64 y y (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (/.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal 1 binary64)) (.f64 y (.f64 y y))))
(.f64 (/.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal -1 binary64))) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal -1 binary64))) (fma.f64 y (.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal -1 binary64) y))

simplify292.0ms (2.9%)

Memory

21.9MiB live, 416.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 886×	`accelerator-lowering-fma.f32`
7 886×	`accelerator-lowering-fma.f64`
3 220×	`-lowering-.f32`
3 220×	`-lowering-.f64`
1 542×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1503
1	232	1305
2	637	1302
3	1401	1296
4	3431	1288
5	5999	1288
0	8041	1256

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y (+ (* x z) (/ x y)))
(* y (+ (* x z) (/ x y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(* x (* y z))
(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* x (* y z))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* 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)
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
-1
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))

Outputs
x
(+ x (* x (* y z)))
(fma.f64 x (*.f64 y z) x)
(+ x (* x (* y z)))
(fma.f64 x (*.f64 y z) x)
(+ x (* x (* y z)))
(fma.f64 x (*.f64 y z) x)
(* x (* y z))
(.f64 x (.f64 y z))
(* y (+ (* x z) (/ x y)))
(fma.f64 x (*.f64 y z) x)
(* y (+ (* x z) (/ x y)))
(fma.f64 x (*.f64 y z) x)
(* y (+ (* x z) (/ x y)))
(fma.f64 x (*.f64 y z) x)
(* x (* y z))
(.f64 x (.f64 y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(fma.f64 x (*.f64 y z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(fma.f64 x (*.f64 y z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(fma.f64 x (*.f64 y z) x)
x
(+ x (* x (* y z)))
(fma.f64 x (*.f64 y z) x)
(+ x (* x (* y z)))
(fma.f64 x (*.f64 y z) x)
(+ x (* x (* y z)))
(fma.f64 x (*.f64 y z) x)
(* x (* y z))
(.f64 x (.f64 y z))
(* z (+ (* x y) (/ x z)))
(fma.f64 x (*.f64 y z) x)
(* z (+ (* x y) (/ x z)))
(fma.f64 x (*.f64 y z) x)
(* z (+ (* x y) (/ x z)))
(fma.f64 x (*.f64 y z) x)
(* x (* y z))
(.f64 x (.f64 y z))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(fma.f64 x (*.f64 y z) x)
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(fma.f64 x (*.f64 y z) x)
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(fma.f64 x (*.f64 y z) x)
(* x (+ 1 (* y z)))
(fma.f64 x (*.f64 y z) x)
(* x (+ 1 (* y z)))
(fma.f64 x (*.f64 y z) x)
(* x (+ 1 (* y z)))
(fma.f64 x (*.f64 y z) x)
(* x (+ 1 (* y z)))
(fma.f64 x (*.f64 y z) x)
(* x (+ 1 (* y z)))
(fma.f64 x (*.f64 y z) x)
(* x (+ 1 (* y z)))
(fma.f64 x (*.f64 y z) x)
(* x (+ 1 (* y z)))
(fma.f64 x (*.f64 y z) x)
(* x (+ 1 (* y z)))
(fma.f64 x (*.f64 y z) x)
(* -1 (* x (- (* -1 (* y z)) 1)))
(fma.f64 x (*.f64 y z) x)
(* -1 (* x (- (* -1 (* y z)) 1)))
(fma.f64 x (*.f64 y z) x)
(* -1 (* x (- (* -1 (* y z)) 1)))
(fma.f64 x (*.f64 y z) x)
(* -1 (* x (- (* -1 (* y z)) 1)))
(fma.f64 x (*.f64 y z) x)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (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)
(* -1 x)
(neg.f64 x)
(* 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))
(* 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))
(* 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))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 x (-.f64 (.f64 y z) z))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 x (-.f64 (.f64 y z) z))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* y z))
(.f64 x (.f64 y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 x (-.f64 (.f64 y z) z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 x (-.f64 (.f64 y z) z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* y z))
(.f64 x (.f64 y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 x (-.f64 (.f64 y z) z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 x (-.f64 (.f64 y z) z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 y z) z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 x (-.f64 (.f64 y z) z))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 x (-.f64 (.f64 y z) z))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* y z))
(.f64 x (.f64 y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 x (-.f64 (.f64 y z) z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 x (-.f64 (.f64 y z) z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 x (-.f64 (.f64 y z) z))
(* x (* y z))
(.f64 x (.f64 y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 x (-.f64 (.f64 y z) z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 x (-.f64 (.f64 y z) z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 x (-.f64 (.f64 y z) z))
-1
#s(literal -1 binary64)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* y (- (* -1 y) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y)))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y)))) y)

eval176.0ms (1.8%)

Memory: -23.6MiB live, 293.4MiB allocated
Compiler: Compiled 17 429 to 1 612 computations (90.8% saved)

prune129.0ms (1.3%)

Memory

12.4MiB live, 247.4MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 201	3	1 204
Fresh	1	3	4
Picked	1	4	5
Done	0	2	2
Total	1 203	12	1 215

Accuracy

100.0%

Counts

1 215 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(fma.f64 y (*.f64 z x) x)
▶	46.5%	(/.f64 (.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal 1 binary64)))
▶	38.8%	(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y))
▶	38.7%	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z x)))
✓	58.0%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x))
▶	38.8%	(.f64 (.f64 z x) y)
✓	37.8%	(.f64 (.f64 y x) z)
✓	27.8%	(*.f64 z (neg.f64 x))
	31.4%	(.f64 x (/.f64 (.f64 z (-.f64 (.f64 y (.f64 y z)) z)) (fma.f64 y z z)))
▶	68.1%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	35.2%	(.f64 x (.f64 z y))
✓	43.7%	x

Compiler

Compiled 186 to 120 computations (35.5% saved)

simplify570.0ms (5.7%)

Memory

-13.4MiB live, 431.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y y #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64))))
✓	cost-diff	1088	(/.f64 (.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	1088	(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 z x))
✓	cost-diff	1088	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z x)))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(.f64 (.f64 z x) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) z))

Rules

11 016×	`accelerator-lowering-fma.f32`
11 016×	`accelerator-lowering-fma.f64`
3 266×	`-lowering-.f32`
3 266×	`-lowering-.f64`
1 612×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	96
1	51	96
2	131	96
3	290	90
4	918	90
5	3494	90
6	5868	90
0	8209	87

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize89.0ms (0.9%)

Memory

0.3MiB live, 77.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	97.7%	(.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64))))
✓	accuracy	93.0%	(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
✓	accuracy	89.7%	(/.f64 (.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	92.2%	(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 z x))
✓	accuracy	92.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z x)))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	92.3%	(.f64 (.f64 z x) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))

Samples

50.0ms

256×

valid

Compiler

Compiled 98 to 21 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 23.0ms (66.1% of total)

ival-div: 8.0ms (23% of total)

ival-sub: 2.0ms (5.7% of total)

ival-add: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

13 → 324

Calls

Call 1

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

Outputs
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y 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))>
#<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 (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y 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 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* (pow y 2) z)))>
#<alt (+ (* -1 (* x z)) (* x (* (pow y 2) z)))>
#<alt (+ (* -1 (* x z)) (* x (* (pow y 2) z)))>
#<alt (* x (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* x (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x (pow y 2)))>
#<alt (+ (* -1 x) (* x (pow y 2)))>
#<alt (+ (* -1 x) (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt -1>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>

Calls

81 calls:

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

rewrite703.0ms (7%)

Memory

-36.1MiB live, 368.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 792×	`-lowering-.f32`
4 792×	`-lowering-.f64`
4 154×	`/-lowering-/.f32`
4 154×	`/-lowering-/.f64`
3 770×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	116	65
2	765	65
0	8167	62

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1 044

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 x (neg.f64 z)))
(+.f64 (*.f64 x (neg.f64 z)) x)
(-.f64 x (*.f64 x z))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 x z))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) x)
(fma.f64 x (/.f64 z #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z)) x)
(fma.f64 z (neg.f64 x) x)
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 (*.f64 x z) #s(literal -1 binary64) x)
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(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
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(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) #s(literal 1 binary64))
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(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(neg.f64 (-.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
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(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
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(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
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(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))))
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(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1 binary64)) (.f64 y (*.f64 y y))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1 binary64)) (.f64 y (.f64 y y))))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
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(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (.f64 (.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) y) (.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))
(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))

simplify500.0ms (5%)

Memory

15.2MiB live, 617.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 180×	`accelerator-lowering-fma.f32`
9 180×	`accelerator-lowering-fma.f64`
3 712×	`-lowering-.f32`
3 712×	`-lowering-.f64`
1 770×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	1886
1	189	1868
2	504	1859
3	1508	1859
4	3540	1859
5	7142	1859
0	8085	1772

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
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(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
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(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
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Outputs
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x
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(-.f64 x (*.f64 x z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* z (+ (* -1 x) (/ x z)))
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(* -1 (* z (+ x (* -1 (/ x z)))))
(-.f64 x (*.f64 x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(-.f64 x (*.f64 x z))
1
#s(literal 1 binary64)
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(/ 1 y)
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(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
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(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
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(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
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(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) y))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 z (-.f64 (.f64 x y) x))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 z (-.f64 (.f64 x y) x))
(+ (* -1 (* x z)) (* x (* y z)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* y z))
(.f64 x (.f64 z y))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 z (-.f64 (.f64 x y) x))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 z (-.f64 (.f64 x y) x))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* y z))
(.f64 x (.f64 z y))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 z (-.f64 (.f64 x y) x))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(.f64 z (-.f64 (.f64 x y) x))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* z (- (pow y 2) 1)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(+ (* -1 (* x z)) (* x (* (pow y 2) z)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(+ (* -1 (* x z)) (* x (* (pow y 2) z)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(+ (* -1 (* x z)) (* x (* (pow y 2) z)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* (pow y 2) z))
(.f64 x (.f64 z (*.f64 y y)))
(* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (* (pow y 2) z))
(.f64 x (.f64 z (*.f64 y y)))
(* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))
(.f64 x (.f64 z (fma.f64 y y #s(literal -1 binary64))))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (- (pow y 2) 1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(+ (* -1 x) (* x (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(+ (* -1 x) (* x (pow y 2)))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)

eval284.0ms (2.8%)

Memory: 9.5MiB live, 471.7MiB allocated
Compiler: Compiled 23 720 to 2 843 computations (88% saved)

prune155.0ms (1.5%)

Memory

20.0MiB live, 507.5MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 494	2	1 496
Fresh	1	0	1
Picked	2	3	5
Done	0	6	6
Total	1 497	11	1 508

Accuracy

100.0%

Counts

1 508 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(fma.f64 y (*.f64 z x) x)
	50.0%	(/.f64 (.f64 z (fma.f64 (.f64 x y) y (neg.f64 x))) (+.f64 y #s(literal 1 binary64)))
✓	38.8%	(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y))
	35.1%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
✓	58.0%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x))
✓	38.8%	(.f64 (.f64 z x) y)
✓	37.8%	(.f64 (.f64 y x) z)
✓	27.8%	(*.f64 z (neg.f64 x))
✓	68.1%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	35.2%	(.f64 x (.f64 z y))
✓	43.7%	x

Compiler

Compiled 295 to 136 computations (53.9% saved)

regimes51.0ms (0.5%)

Memory

-9.0MiB live, 149.3MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	y
7.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
7.0ms	(-.f64 #s(literal 1 binary64) y)
7.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
7.0ms	z

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
98.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.4%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
98.4%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes28.0ms (0.3%)

Memory

8.8MiB live, 88.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
81.0%	2	`x`
98.4%	3	`y`
98.3%	3	`z`
91.3%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
99.6%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
99.6%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
98.4%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes11.0ms (0.1%)

Memory

-3.5MiB live, 36.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`y`
98.9%	4	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.9%	4	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes21.0ms (0.2%)

Memory

-20.8MiB live, 61.6MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
3.0ms	z
3.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
80.0%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
82.6%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
82.6%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
75.1%	2	`z`
88.6%	3	`(-.f64 #s(literal 1 binary64) y)`
88.6%	3	`y`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes4.0ms (0%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.6%	3	`y`
86.6%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.1%)

Memory

7.7MiB live, 47.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
68.1%	1	`z`
68.1%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
68.1%	1	`x`
68.1%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
68.1%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
68.1%	1	`y`
68.1%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes12.0ms (0.1%)

Memory

0.9MiB live, 40.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
43.7%	1	`(-.f64 #s(literal 1 binary64) y)`
43.7%	1	`y`
67.7%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
67.9%	3	`z`
60.3%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
67.7%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
43.7%	1	`x`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes8.0ms (0.1%)

Memory

-15.9MiB live, 24.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
43.7%	1	`y`
43.7%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
43.7%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
43.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
43.7%	1	`z`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.443704912977448e-9	487979454744832.75
0.0ms	-4.72161860463398e+36	-1.3386555841304945e+36

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch17.0ms (0.2%)

Memory

7.1MiB live, 46.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.320892361696605e-9	1.1606425367991661e-6
6.0ms	-140455251058812.33	-37810694312317.29

Samples

9.0ms

192×

valid

Compiler

Compiled 243 to 170 computations (30% saved)

Precisions

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

ival-sub: 2.0ms (40.2% of total)

ival-mult: 2.0ms (40.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.631770290311025e+42	2.2645346767568748e+48
0.0ms	-2.8765178753192637e+37	-1.1174379902066531e+36

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.631770290311025e+42	2.2645346767568748e+48
0.0ms	-1.887410946739983e+69	-3.217075818631278e+67

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch20.0ms (0.2%)

Memory

2.9MiB live, 41.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1257462090997581e-14	1.9971304010541803e-11
9.0ms	-519406520.72969896	-94778242.54411617

Samples

10.0ms

224×

valid

Compiler

Compiled 197 to 154 computations (21.8% saved)

Precisions

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

ival-mult: 3.0ms (59% of total)

ival-sub: 2.0ms (39.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Memory

-9.8MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`if-if-or-not_binary32`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	124
1	84	124
2	97	124
3	104	124
4	107	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -4000000000000000169682549496071847936 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 y (.f64 z x) x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 y #s(literal -38000000000000 binary64)) (fma.f64 y (.f64 z x) x) (if (<=.f64 y #s(literal 1357680363825023/1180591620717411303424 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (*.f64 z x) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -19999999999999999077525316404242284544 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -95000000 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 6034957691516229/309485009821345068724781056 binary64)) x (.f64 z (neg.f64 x))))
x

Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -4000000000000000169682549496071847936 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 y (.f64 z x) x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -4000000000000000169682549496071847936 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (fma.f64 y (.f64 z x) x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 y #s(literal -38000000000000 binary64)) (fma.f64 y (.f64 z x) x) (if (<=.f64 y #s(literal 1357680363825023/1180591620717411303424 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (*.f64 z x) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -19999999999999999077525316404242284544 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000000000000072531436381529235126158374409646521955518210155479040 binary64)) (.f64 x (.f64 y z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 5000000000000000069686058479707049565356032 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -95000000 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 6034957691516229/309485009821345068724781056 binary64)) x (.f64 z (neg.f64 x))))
x

soundness1.2s (12.2%)

Memory

0.1MiB live, 624.3MiB allocated

Rules

9 040×	`accelerator-lowering-fma.f32`
9 040×	`accelerator-lowering-fma.f64`
7 140×	`accelerator-lowering-fma.f32`
7 140×	`accelerator-lowering-fma.f64`
4 326×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	613
1	234	592
2	630	592
3	1394	592
4	4056	592
5	6304	592
6	7507	592
0	8012	544
0	159	2231
1	501	2084
2	1403	2028
3	3984	2026
4	7436	2026
0	8159	1900
0	8	24
1	42	24
2	324	24
3	3540	24
0	9420	22

Stop Event

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

Compiler

Compiled 250 to 116 computations (53.6% saved)

preprocess89.0ms (0.9%)

Memory: 32.5MiB live, 111.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 516 to 194 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample835.0ms (8.3%)

preprocess220.0ms (2.2%)

explain100.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify181.0ms (1.8%)

localize21.0ms (0.2%)

series166.0ms (1.7%)

rewrite713.0ms (7.1%)

simplify240.0ms (2.4%)

eval144.0ms (1.4%)

prune116.0ms (1.2%)

simplify439.0ms (4.4%)

localize101.0ms (1%)

series31.0ms (0.3%)

rewrite806.0ms (8%)

simplify360.0ms (3.6%)

eval220.0ms (2.2%)

prune253.0ms (2.5%)

simplify55.0ms (0.6%)

localize133.0ms (1.3%)

series9.0ms (0.1%)

rewrite437.0ms (4.4%)

simplify292.0ms (2.9%)

eval176.0ms (1.8%)

prune129.0ms (1.3%)

simplify570.0ms (5.7%)

localize89.0ms (0.9%)

series21.0ms (0.2%)

rewrite703.0ms (7%)

simplify500.0ms (5%)

eval284.0ms (2.8%)

prune155.0ms (1.5%)

regimes51.0ms (0.5%)

regimes28.0ms (0.3%)

regimes11.0ms (0.1%)

regimes21.0ms (0.2%)

regimes4.0ms (0%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.2s (12.2%)

preprocess89.0ms (0.9%)

end0.0ms (0%)

Profiling