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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.2s (12.7%)

Memory

24.6MiB live, 1 159.5MiB allocated

Samples

737.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 394.0ms

ival-mult: 267.0ms (67.7% of total)

ival-sub: 114.0ms (28.9% of total)

ival-true: 6.0ms (1.5% of total)

exact: 4.0ms (1% of total)

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

Bogosity

preprocess286.0ms (3.1%)

Memory

15.6MiB live, 141.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 608×	`unsub-neg`
1 232×	`lower-fma.f64`
1 232×	`lower-fma.f32`
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
0	12	9
1	23	9
2	52	9
3	153	9
4	442	9
5	939	9
6	1327	9
7	1625	9
8	1658	9
9	1658	9
0	1658	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

explain280.0ms (3%)

Memory

-27.4MiB live, 123.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(.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**	13	0

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

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

ival-mult: 6.0ms (49.9% of total)

ival-sub: 5.0ms (41.6% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify130.0ms (1.4%)

Memory

-0.8MiB live, 37.1MiB 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×	`lower-fma.f64`
1 232×	`lower-fma.f32`
496×	`lower-*.f32`
492×	`lower-*.f64`
440×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	23	28
2	52	28
3	153	28
4	442	28
5	939	28
6	1327	28
7	1625	28
8	1658	28
9	1658	28
0	1658	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize105.0ms (1.1%)

Memory

-2.9MiB live, 33.9MiB 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	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Samples

97.0ms

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 (49.8% of total)

ival-mult: 3.0ms (49.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) y) z)>
#<alt (-.f64 #s(literal 1 binary64) 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
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))
0.0ms	x	@	inf	(* x (- 1 (* (- 1 y) z)))

rewrite368.0ms (3.9%)

Memory

-29.5MiB live, 490.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 326×	`lower-fma.f64`
4 326×	`lower-fma.f32`
3 522×	`lower-/.f64`
3 522×	`lower-/.f32`
3 346×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22

Stop Event

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

Counts

4 → 445

Calls

Call 1

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

simplify225.0ms (2.4%)

Memory

35.1MiB live, 465.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 140×	`lower-fma.f64`
7 140×	`lower-fma.f32`
2 672×	`lower-*.f64`
2 672×	`lower-*.f32`
1 336×	`lower--.f64`

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 → 94

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)

eval97.0ms (1%)

Memory: -14.5MiB live, 191.2MiB allocated
Compiler: Compiled 14 716 to 1 729 computations (88.3% saved)

prune117.0ms (1.2%)

Memory

23.6MiB live, 137.5MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	528	11	539
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	529	11	540

Accuracy

100.0%

Counts

540 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
	95.1%	(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
	66.3%	(/.f64 (neg.f64 (.f64 x (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	65.5%	(-.f64 x (*.f64 z x))
▶	98.1%	(+.f64 (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x)) x)
▶	63.7%	(.f64 z (-.f64 (.f64 y x) x))
▶	40.4%	(.f64 z (.f64 y x))
	59.7%	(.f64 x (-.f64 (.f64 z y) z))
	65.4%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	36.3%	(.f64 x (.f64 z y))
▶	36.6%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 234 to 148 computations (36.8% saved)

simplify76.0ms (0.8%)

Memory

-25.7MiB live, 89.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 (*.f64 y x) x)
✓	cost-diff	0	(.f64 z (-.f64 (.f64 y x) x))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 z (.f64 y x))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(-.f64 x (*.f64 z x))
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 y #s(literal -1 binary64)) x)
✓	cost-diff	0	(.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x))
✓	cost-diff	128	(+.f64 (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x)) x)

Rules

1 232×	`lower-fma.f64`
1 232×	`lower-fma.f32`
496×	`lower-*.f32`
484×	`lower-*.f64`
248×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
0	27	70
1	49	70
2	125	70
3	198	70
4	311	70
5	548	70
6	878	70
7	1143	70
8	1201	70
9	1212	70
10	1212	70
0	1212	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (0.6%)

Memory

23.7MiB live, 104.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 (*.f64 y x) x)
✓	accuracy	98.1%	(.f64 z (-.f64 (.f64 y x) x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	94.8%	(.f64 z (.f64 y x))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(-.f64 x (*.f64 z x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x)) x)
✓	accuracy	100.0%	(*.f64 (+.f64 y #s(literal -1 binary64)) x)
✓	accuracy	98.1%	(.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x))

Samples

28.0ms

256×

valid

Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions

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

ival-mult: 10.0ms (65.9% of total)

ival-add: 3.0ms (19.8% of total)

ival-sub: 2.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Memory

8.0MiB live, 46.9MiB allocated

Counts

11 → 288

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x)) x)>
#<alt (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x))>
#<alt (*.f64 (+.f64 y #s(literal -1 binary64)) x)>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (-.f64 x (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (.f64 z (.f64 y x))>
#<alt (*.f64 y x)>
#<alt (.f64 z (-.f64 (.f64 y x) x))>
#<alt (-.f64 (*.f64 y x) x)>

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

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* z (* (+ y -1) x)) x)
3.0ms	x	@	inf	(* z (* y x))
1.0ms	x	@	inf	(+ (* z (* (+ y -1) x)) x)
1.0ms	z	@	inf	(* z (* y x))
0.0ms	x	@	0	(* z (* y x))

rewrite374.0ms (4%)

Memory

16.9MiB live, 759.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 826×	`lower-fma.f64`
8 826×	`lower-fma.f32`
5 572×	`lower-*.f32`
5 560×	`lower-*.f64`
3 344×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
0	27	53
1	94	53
2	662	53
3	7957	53
0	8665	52

Stop Event

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

Counts

11 → 771

Calls

Call 1

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

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

simplify408.0ms (4.3%)

Memory

-35.9MiB live, 384.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 886×	`lower-fma.f64`
9 886×	`lower-fma.f32`
3 406×	`lower-*.f64`
3 406×	`lower-*.f32`
1 400×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1518
1	269	1496
2	765	1496
3	1774	1496
4	4338	1496
5	5942	1496
6	6737	1496
7	6923	1496
8	6989	1496
9	7066	1496
0	8483	1466

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 272

Calls

Call 1

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

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

eval147.0ms (1.6%)

Memory: 2.8MiB live, 231.9MiB allocated
Compiler: Compiled 23 598 to 1 811 computations (92.3% saved)

prune177.0ms (1.9%)

Memory

12.3MiB live, 258.3MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1 062	9	1 071
Fresh	5	1	6
Picked	3	2	5
Done	0	0	0
Total	1 070	12	1 082

Accuracy

100.0%

Counts

1 082 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
	63.6%	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)))
✓	65.5%	(-.f64 x (*.f64 z x))
	73.9%	(+.f64 (.f64 z (.f64 x y)) x)
▶	71.0%	(+.f64 (.f64 x (.f64 z y)) x)
▶	65.4%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
	62.4%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x))
▶	36.3%	(.f64 (.f64 z y) x)
	41.3%	(.f64 (.f64 z x) y)
✓	40.4%	(.f64 z (.f64 y x))
	31.6%	(*.f64 z (neg.f64 x))
▶	36.6%	x

Compiler

Compiled 192 to 126 computations (34.4% saved)

simplify65.0ms (0.7%)

Memory

-15.6MiB live, 62.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

1 232×	`lower-fma.f32`
1 230×	`lower-fma.f64`
496×	`lower-*.f32`
486×	`lower-*.f64`
248×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
0	24	59
1	41	59
2	74	59
3	112	59
4	204	59
5	280	59
6	454	59
7	820	59
8	1087	59
9	1234	59
10	1254	59
11	1254	59
0	1254	58

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.5%)

Memory

12.6MiB live, 88.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 z y)) x)
✓	accuracy	92.7%	(.f64 x (.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	92.7%	(.f64 (.f64 z y) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	97.6%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)

Samples

27.0ms

256×

valid

Compiler

Compiled 62 to 17 computations (72.6% saved)

Precisions

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

ival-mult: 10.0ms (63.8% of total)

ival-add: 4.0ms (25.5% of total)

ival-sub: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

9 → 240

Calls

Call 1

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

Calls

60 calls:

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

rewrite448.0ms (4.8%)

Memory

-8.7MiB live, 705.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 906×	`lower-fma.f32`
8 904×	`lower-fma.f64`
5 218×	`lower-*.f32`
5 208×	`lower-*.f64`
2 702×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	24	42
1	88	42
2	588	42
3	6582	42
0	8223	41

Stop Event

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

Counts

9 → 430

Calls

Call 1

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

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

simplify396.0ms (4.2%)

Memory

3.8MiB live, 336.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 512×	`lower-fma.f64`
7 512×	`lower-fma.f32`
3 088×	`lower-*.f64`
3 088×	`lower-*.f32`
1 536×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1324
1	268	1212
2	773	1212
3	1712	1212
4	4273	1212
5	6258	1212
6	7828	1212
0	8003	1152

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

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
(+ 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)))))
(* 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))
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))
(* 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 (+ 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
(+ 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
(+ 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 (* 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))

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

eval82.0ms (0.9%)

Memory: -7.1MiB live, 185.3MiB allocated
Compiler: Compiled 13 781 to 1 110 computations (91.9% saved)

prune70.0ms (0.7%)

Memory

5.6MiB live, 200.5MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	691	3	694
Fresh	2	3	5
Picked	0	5	5
Done	0	2	2
Total	693	13	706

Accuracy

100.0%

Counts

706 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
▶	75.6%	(fma.f64 (*.f64 z x) y x)
▶	71.0%	(fma.f64 (*.f64 y z) x x)
	63.6%	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)))
✓	65.5%	(-.f64 x (*.f64 z x))
✓	71.0%	(+.f64 (.f64 x (.f64 z y)) x)
✓	65.4%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
▶	62.4%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x))
✓	36.3%	(.f64 (.f64 z y) x)
▶	41.3%	(.f64 (.f64 z x) y)
▶	31.6%	(*.f64 (neg.f64 z) x)
✓	40.4%	(.f64 z (.f64 y x))
✓	36.6%	x

Compiler

Compiled 167 to 107 computations (35.9% saved)

simplify49.0ms (0.5%)

Memory

-1.4MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

720×	`lower-fma.f32`
716×	`lower-fma.f64`
400×	`lower-*.f32`
390×	`lower-*.f64`
152×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
0	23	60
1	43	60
2	71	60
3	100	60
4	144	60
5	276	60
6	512	60
7	700	60
8	784	60
9	864	60
10	870	60
0	870	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.5%)

Memory

-0.8MiB live, 117.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	94.6%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	95.1%	(fma.f64 (*.f64 y z) x x)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	91.3%	(.f64 (.f64 z x) y)
✓	accuracy	100.0%	(*.f64 (neg.f64 z) x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	94.3%	(fma.f64 (*.f64 z x) y x)

Samples

29.0ms

256×

valid

Compiler

Compiled 64 to 16 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (65.2% of total)

ival-add: 3.0ms (21.7% of total)

ival-neg: 1.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

9 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite520.0ms (5.5%)

Memory

-42.0MiB live, 337.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 106×	`lower-fma.f32`
7 102×	`lower-fma.f64`
4 648×	`lower-*.f32`
4 638×	`lower-*.f64`
3 128×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	23	39
1	81	39
2	382	39
3	3484	39
0	8368	39

Stop Event

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

Counts

9 → 640

Calls

Call 1

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

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

simplify332.0ms (3.5%)

Memory

31.0MiB live, 187.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 180×	`lower-fma.f64`
5 180×	`lower-fma.f32`
2 552×	`lower-*.f64`
2 552×	`lower-*.f32`
1 400×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1282
1	163	1183
2	463	1183
3	943	1183
4	3077	1183
5	5499	1183
6	7332	1183
0	8008	1123

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

Calls

Call 1

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

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

eval267.0ms (2.8%)

Memory: -1.8MiB live, 106.4MiB allocated
Compiler: Compiled 19 164 to 1 178 computations (93.9% saved)

prune185.0ms (2%)

Memory

-18.8MiB live, 111.2MiB allocated

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	926	0	926
Fresh	0	1	1
Picked	0	5	5
Done	0	7	7
Total	926	13	939

Accuracy

100.0%

Counts

939 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
✓	75.6%	(fma.f64 (*.f64 z x) y x)
✓	71.0%	(fma.f64 (*.f64 y z) x x)
	63.6%	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)))
✓	65.5%	(-.f64 x (*.f64 z x))
✓	71.0%	(+.f64 (.f64 x (.f64 z y)) x)
✓	65.4%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	62.4%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x))
✓	36.3%	(.f64 (.f64 z y) x)
✓	41.3%	(.f64 (.f64 z x) y)
✓	31.6%	(*.f64 (neg.f64 z) x)
✓	40.4%	(.f64 z (.f64 y x))
✓	36.6%	x

Compiler

Compiled 274 to 126 computations (54% saved)

regimes112.0ms (1.2%)

Memory

28.4MiB live, 65.3MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

7 calls:

67.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
8.0ms	x
7.0ms	z
7.0ms	y
7.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
99.9%	2	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
98.1%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.1%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
98.1%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes219.0ms (2.3%)

Memory

-22.7MiB live, 90.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

7 calls:

77.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
58.0ms	x
57.0ms	y
7.0ms	z
6.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
97.6%	1	`y`
99.2%	2	`z`
97.6%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.6%	1	`(-.f64 #s(literal 1 binary64) y)`
97.6%	1	`x`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes211.0ms (2.2%)

Memory

12.9MiB live, 96.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

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

Calls

7 calls:

102.0ms	y
80.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
6.0ms	z
6.0ms	x
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
80.9%	3	`x`
97.4%	3	`y`
90.6%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
98.2%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.2%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.4%	3	`(-.f64 #s(literal 1 binary64) y)`
98.9%	3	`z`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes51.0ms (0.5%)

Memory

-6.9MiB live, 32.5MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
5.0ms	y
5.0ms	z
4.0ms	(-.f64 #s(literal 1 binary64) y)
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

Results

Accuracy	Segments	Branch
96.9%	3	`y`
96.9%	3	`(-.f64 #s(literal 1 binary64) y)`
98.8%	5	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.8%	5	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
96.0%	4	`z`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes35.0ms (0.4%)

Memory

-7.4MiB live, 31.0MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms	y
4.0ms	(-.f64 #s(literal 1 binary64) y)
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

Results

Accuracy	Segments	Branch
83.1%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
83.1%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
94.5%	3	`y`
94.5%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes29.0ms (0.3%)

Memory

0.7MiB live, 39.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
4.0ms	z
4.0ms	y
4.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
81.8%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
70.5%	2	`z`
88.2%	3	`y`
88.2%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes7.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.9%	3	`y`
84.9%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes24.0ms (0.3%)

Memory

-30.8MiB live, 50.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
65.5%	1	`z`
65.5%	1	`x`
65.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
65.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
65.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
65.5%	1	`y`
65.5%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes21.0ms (0.2%)

Memory

-3.9MiB live, 74.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(*.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)))
3.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
65.4%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
65.4%	1	`z`
65.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
65.4%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
65.4%	1	`(-.f64 #s(literal 1 binary64) y)`
65.4%	1	`y`
65.4%	1	`x`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes18.0ms (0.2%)

Memory

-9.0MiB live, 44.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
64.4%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
64.5%	3	`z`
64.4%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
55.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
43.9%	4	`(-.f64 #s(literal 1 binary64) y)`
45.1%	4	`y`
41.8%	4	`x`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes11.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

7 calls:

2.0ms	y
1.0ms	x
1.0ms	z
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)))

Results

Accuracy	Segments	Branch
36.6%	1	`x`
36.6%	1	`(-.f64 #s(literal 1 binary64) y)`
36.6%	1	`y`
36.6%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
36.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
36.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
36.6%	1	`z`

Compiler

Compiled 48 to 35 computations (27.1% saved)

bsearch3.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.879192802947051e+31	2.7088024190758994e+34

Samples

1.0ms

32×

valid

Compiler

Compiled 65 to 48 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	1498221559588.0498	3.625386980073196e+26

Samples

1.0ms

16×

valid

Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0014845764305042046	0.0015098566162962024
1.0ms	-18.56446555396098	-16.713399821984797

Samples

1.0ms

16×

valid

Compiler

Compiled 36 to 27 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

-21.3MiB live, 17.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.00016538844339687814	0.0014845764305042046
0.0ms	-18.56446555396098	-16.713399821984797

Samples

4.0ms

96×

valid

Compiler

Compiled 162 to 105 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (47.2% of total)

ival-mult: 1.0ms (47.2% 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

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000007816	1.0136793584219217
0.0ms	-2.520736547582319	0.9328113989866366

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000007816	1.0136793584219217
0.0ms	-2.520736547582319	0.9328113989866366

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1886860966353214e+62	1.7163889086274838e+65
0.0ms	-4.0975415154127156e+83	-9.026895895218306e+73

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.011263045740593e+121	1.4367803310394536e+126
0.0ms	-4.0975415154127156e+83	-9.026895895218306e+73

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch14.0ms (0.2%)

Memory

-5.6MiB live, 32.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00016538844339687814	0.0014845764305042046
13.0ms	-16.713399821984797	-3.589302665519894e-7

Samples

8.0ms

144×

valid

Compiler

Compiled 210 to 164 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (62.3% of total)

ival-sub: 1.0ms (31.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Memory

-2.0MiB live, 35.7MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	236
1	95	236
2	108	236
3	115	236
4	118	236

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 19999999999999999271792589930496 binary64)) (+.f64 (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x)) x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))
(if (<=.f64 z #s(literal 2000000000000 binary64)) (fma.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) x x) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(if (<=.f64 z #s(literal -17 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 3458764513820541/2305843009213693952 binary64)) (fma.f64 (.f64 y z) x x) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))
(if (<=.f64 z #s(literal -17 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 208967022709991/144115188075855872 binary64)) (fma.f64 (.f64 y z) x x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (fma.f64 (.f64 z x) y x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (-.f64 x (.f64 z x)) (fma.f64 (*.f64 z x) y x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (fma.f64 (.f64 y z) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (-.f64 x (.f64 z x)) (fma.f64 (*.f64 y z) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -400000000000000012322665292386102763108100816030573385384358976277655941165325746176 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (-.f64 x (.f64 z x)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -400000000000000012322665292386102763108100816030573385384358976277655941165325746176 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) (-.f64 x (.f64 z x)) (.f64 x (*.f64 z y))))
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 208967022709991/144115188075855872 binary64)) x (.f64 z (neg.f64 x))))
x

Outputs
(if (<=.f64 x #s(literal 19999999999999999271792589930496 binary64)) (+.f64 (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) x)) x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))
(if (<=.f64 x #s(literal 19999999999999999271792589930496 binary64)) (+.f64 x (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z) x))
(if (<=.f64 z #s(literal 2000000000000 binary64)) (fma.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) x x) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(if (<=.f64 z #s(literal 2000000000000 binary64)) (fma.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) x x) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z)))
(if (<=.f64 z #s(literal -17 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 3458764513820541/2305843009213693952 binary64)) (fma.f64 (.f64 y z) x x) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))
(if (<=.f64 z #s(literal -17 binary64)) (.f64 z (-.f64 (.f64 x y) x)) (if (<=.f64 z #s(literal 3458764513820541/2305843009213693952 binary64)) (fma.f64 (.f64 z y) x x) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))))
(if (<=.f64 z #s(literal -17 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 208967022709991/144115188075855872 binary64)) (fma.f64 (.f64 y z) x x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 z #s(literal -17 binary64)) (.f64 z (-.f64 (.f64 x y) x)) (if (<=.f64 z #s(literal 208967022709991/144115188075855872 binary64)) (fma.f64 (.f64 z y) x x) (.f64 z (-.f64 (*.f64 x y) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (fma.f64 (.f64 z x) y x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (-.f64 x (.f64 z x)) (fma.f64 (*.f64 z x) y x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (fma.f64 (.f64 x z) y x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (-.f64 x (.f64 x z)) (fma.f64 (*.f64 x z) y x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (fma.f64 (.f64 y z) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (-.f64 x (.f64 z x)) (fma.f64 (*.f64 y z) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (fma.f64 (.f64 z y) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (-.f64 x (.f64 x z)) (fma.f64 (*.f64 z y) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -400000000000000012322665292386102763108100816030573385384358976277655941165325746176 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (-.f64 x (.f64 z x)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -400000000000000012322665292386102763108100816030573385384358976277655941165325746176 binary64)) (.f64 z (.f64 x y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (-.f64 x (.f64 x z)) (.f64 z (*.f64 x y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -400000000000000012322665292386102763108100816030573385384358976277655941165325746176 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) (-.f64 x (.f64 z x)) (.f64 x (*.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -400000000000000012322665292386102763108100816030573385384358976277655941165325746176 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) (-.f64 x (.f64 x z)) (.f64 x (*.f64 z y))))
(-.f64 x (*.f64 z x))
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 208967022709991/144115188075855872 binary64)) x (.f64 z (neg.f64 x))))
x

soundness1.8s (19.4%)

Memory

18.4MiB live, 1 083.5MiB allocated

Rules

9 886×	`lower-fma.f64`
9 886×	`lower-fma.f32`
8 906×	`lower-fma.f32`
8 904×	`lower-fma.f64`
8 826×	`lower-fma.f64`

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	81	1518
1	269	1496
2	765	1496
3	1774	1496
4	4338	1496
5	5942	1496
6	6737	1496
7	6923	1496
8	6989	1496
9	7066	1496
0	8483	1466
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22
0	14	42
0	24	42
1	88	42
2	588	42
3	6582	42
0	8223	41
0	16	55
0	27	53
1	94	53
2	662	53
3	7957	53
0	8665	52

Stop Event

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

Compiler

Compiled 494 to 221 computations (55.3% saved)

preprocess204.0ms (2.2%)

Memory: 16.0MiB live, 346.0MiB allocated
Compiler: Compiled 714 to 244 computations (65.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	60
0	23	60
1	43	60
2	71	60
3	100	60
4	144	60
5	276	60
6	512	60
7	700	60
8	784	60
9	864	60
10	870	60
0	870	60

Iter	Nodes	Cost
0	13	60
0	23	60
1	43	60
2	71	60
3	100	60
4	144	60
5	276	60
6	512	60
7	700	60
8	784	60
9	864	60
10	870	60
0	870	60

analyze0.0ms (0%)

sample1.2s (12.7%)

preprocess286.0ms (3.1%)

explain280.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify130.0ms (1.4%)

localize105.0ms (1.1%)

series7.0ms (0.1%)

rewrite368.0ms (3.9%)

simplify225.0ms (2.4%)

eval97.0ms (1%)

prune117.0ms (1.2%)

simplify76.0ms (0.8%)

localize53.0ms (0.6%)

series23.0ms (0.2%)

rewrite374.0ms (4%)

simplify408.0ms (4.3%)

eval147.0ms (1.6%)

prune177.0ms (1.9%)

simplify65.0ms (0.7%)

localize44.0ms (0.5%)

series6.0ms (0.1%)

rewrite448.0ms (4.8%)

simplify396.0ms (4.2%)

eval82.0ms (0.9%)

prune70.0ms (0.7%)

simplify49.0ms (0.5%)

localize44.0ms (0.5%)

series4.0ms (0%)

rewrite520.0ms (5.5%)

simplify332.0ms (3.5%)

eval267.0ms (2.8%)

prune185.0ms (2%)

regimes112.0ms (1.2%)

regimes219.0ms (2.3%)

regimes211.0ms (2.2%)

regimes6.0ms (0.1%)

regimes51.0ms (0.5%)

regimes35.0ms (0.4%)

regimes29.0ms (0.3%)

regimes7.0ms (0.1%)

regimes24.0ms (0.3%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify13.0ms (0.1%)

soundness1.8s (19.4%)

preprocess204.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	60
0	23	60
1	43	60
2	71	60
3	100	60
4	144	60
5	276	60
6	512	60
7	700	60
8	784	60
9	864	60
10	870	60
0	870	60