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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample846.0ms (9%)

Memory

15.4MiB live, 1 209.5MiB allocated

Samples

594.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-mult: 147.0ms (52.1% of total)

ival-sub: 122.0ms (43.2% of total)

ival-true: 5.0ms (1.8% of total)

exact: 5.0ms (1.8% of total)

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

Bogosity

preprocess261.0ms (2.8%)

Memory

-15.3MiB live, 105.9MiB 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)

explain361.0ms (3.9%)

Memory

-6.6MiB live, 157.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(.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**	10	0

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 35.0ms (83.5% of total)

ival-sub: 6.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify118.0ms (1.3%)

Memory

10.4MiB live, 91.2MiB 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

localize119.0ms (1.3%)

Memory

4.4MiB live, 43.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	accuracy	96.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Samples

13.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (49.9% of total)

ival-mult: 3.0ms (49.9% 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

12.9MiB live, 12.9MiB 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)))

rewrite645.0ms (6.9%)

Memory

3.4MiB live, 349.6MiB 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))))

simplify224.0ms (2.4%)

Memory

-6.3MiB live, 407.3MiB 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)

eval95.0ms (1%)

Memory: 3.8MiB live, 190.4MiB allocated
Compiler: Compiled 14 716 to 1 729 computations (88.3% saved)

prune110.0ms (1.2%)

Memory

-16.8MiB live, 235.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	532	7	539
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	533	7	540

Accuracy

100.0%

Counts

540 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
	96.3%	(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
	62.5%	(.f64 z (-.f64 (.f64 y x) x))
▶	36.3%	(.f64 z (.f64 y x))
▶	66.2%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
▶	34.7%	(.f64 x (.f64 z y))
▶	36.5%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 124 to 82 computations (33.9% saved)

simplify61.0ms (0.7%)

Memory

16.0MiB live, 95.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 z (.f64 y x))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(.f64 x (.f64 z y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	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`
482×	`lower-*.f64`
248×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
0	26	54
1	44	54
2	100	54
3	174	54
4	239	54
5	341	54
6	516	54
7	883	54
8	1138	54
9	1279	54
10	1300	54
11	1300	54
0	1300	54

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

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

localize67.0ms (0.7%)

Memory

-17.9MiB live, 99.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	88.3%	(.f64 z (.f64 y x))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	91.0%	(.f64 x (.f64 z y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	97.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)

Samples

46.0ms

256×

valid

Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (71.5% of total)

ival-add: 3.0ms (17.9% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.2%)

Memory

-2.7MiB live, 32.3MiB allocated

Counts

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

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

Calls

60 calls:

Time	Variable		Point	Expression
7.0ms	z	@	-inf	(* z y)
2.0ms	x	@	0	(+ (* (+ y -1) (* z x)) x)
0.0ms	x	@	inf	(+ (* (+ y -1) (* z x)) x)
0.0ms	z	@	inf	(* x (* z y))
0.0ms	x	@	0	(* x (* z y))

rewrite461.0ms (4.9%)

Memory

-11.0MiB live, 516.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 868×	`lower-fma.f32`
6 866×	`lower-fma.f64`
5 072×	`lower-*.f32`
5 058×	`lower-*.f64`
2 106×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
0	26	39
1	81	39
2	491	39
3	5194	39
0	8625	39

Stop Event

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

Counts

10 → 384

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

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

simplify267.0ms (2.9%)

Memory

9.8MiB live, 446.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 302×	`lower-fma.f64`
9 302×	`lower-fma.f32`
2 968×	`lower-*.f64`
2 968×	`lower-*.f32`
1 536×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	1176
1	198	1064
2	574	1064
3	1360	1064
4	3622	1064
5	6190	1064
6	7938	1064
0	8002	1034

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 224

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

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

eval72.0ms (0.8%)

Memory: 35.5MiB live, 189.0MiB allocated
Compiler: Compiled 10 453 to 977 computations (90.7% saved)

prune181.0ms (1.9%)

Memory

-16.5MiB live, 141.5MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	603	5	608
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	605	10	615

Accuracy

100.0%

Counts

615 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.3%	(fma.f64 (fma.f64 y z (neg.f64 z)) x x)
✓	97.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
▶	39.7%	(*.f64 (+.f64 z #s(literal 1 binary64)) x)
▶	38.9%	(.f64 (.f64 z x) y)
	62.5%	(.f64 z (-.f64 (.f64 y x) x))
✓	36.3%	(.f64 z (.f64 y x))
▶	32.4%	(*.f64 z (neg.f64 x))
✓	66.2%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	34.7%	(.f64 x (.f64 z y))
▶	36.5%	x

Compiler

Compiled 131 to 85 computations (35.1% saved)

simplify75.0ms (0.8%)

Memory

3.4MiB live, 79.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

1 344×	`lower-fma.f32`
1 340×	`lower-fma.f64`
544×	`lower-*.f32`
536×	`lower-*.f64`
280×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	24	49
1	46	49
2	86	49
3	166	49
4	347	49
5	610	49
6	1064	49
7	1276	49
8	1385	49
9	1434	49
10	1450	49
11	1450	49
12	1450	49
0	1450	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.5%)

Memory

-0.2MiB live, 77.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	91.2%	(.f64 (.f64 z x) y)
✓	accuracy	100.0%	(+.f64 z #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 z #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(*.f64 z (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fma.f64 y z (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	96.3%	(fma.f64 (fma.f64 y z (neg.f64 z)) x x)

Samples

34.0ms

256×

valid

Compiler

Compiled 54 to 17 computations (68.5% saved)

Precisions

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

ival-mult: 13.0ms (69.2% of total)

ival-add: 4.0ms (21.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

9 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite566.0ms (6%)

Memory

-23.7MiB live, 312.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 482×	`lower-fma.f32`
5 478×	`lower-fma.f64`
3 170×	`lower-*.f32`
3 162×	`lower-*.f64`
1 958×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
0	24	38
1	83	38
2	532	33
3	6896	33
0	8130	32

Stop Event

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

Counts

9 → 494

Calls

Call 1

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

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

simplify322.0ms (3.4%)

Memory

-8.0MiB live, 222.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 612×	`lower-fma.f64`
8 612×	`lower-fma.f32`
2 894×	`lower-*.f64`
2 894×	`lower-*.f32`
1 360×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1042
1	236	951
2	682	951
3	1558	951
4	4256	951
5	6676	951
0	8122	900

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 200

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

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

eval102.0ms (1.1%)

Memory: 41.2MiB live, 155.1MiB allocated
Compiler: Compiled 11 186 to 1 192 computations (89.3% saved)

prune275.0ms (2.9%)

Memory

-29.1MiB live, 140.2MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	692	2	694
Fresh	0	1	1
Picked	2	3	5
Done	0	4	4
Total	694	10	704

Accuracy

100.0%

Counts

704 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
▶	69.5%	(fma.f64 (*.f64 z y) x x)
✓	38.9%	(.f64 (.f64 z x) y)
▶	62.5%	(.f64 z (-.f64 (.f64 y x) x))
✓	36.3%	(.f64 z (.f64 y x))
✓	32.4%	(*.f64 z (neg.f64 x))
▶	6.8%	(*.f64 z x)
✓	66.2%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	34.7%	(.f64 x (.f64 z y))
✓	36.5%	x

Compiler

Compiled 79 to 51 computations (35.4% saved)

simplify107.0ms (1.1%)

Memory

18.8MiB live, 57.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

720×	`lower-fma.f32`
718×	`lower-fma.f64`
400×	`lower-*.f32`
392×	`lower-*.f64`
158×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	28	35
2	44	35
3	65	35
4	104	35
5	202	35
6	341	35
7	558	35
8	807	35
9	940	35
10	958	35
0	958	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.3%)

Memory

-4.2MiB live, 75.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	96.2%	(fma.f64 (*.f64 z y) x x)
✓	accuracy	100.0%	(-.f64 (*.f64 y x) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	95.1%	(.f64 z (-.f64 (.f64 y x) x))
✓	accuracy	100.0%	(*.f64 z x)

Samples

22.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

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

ival-mult: 8.0ms (67.6% of total)

ival-sub: 2.0ms (16.9% of total)

ival-add: 1.0ms (8.5% of total)

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

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

series6.0ms (0.1%)

Memory

-25.3MiB live, 12.9MiB allocated

Counts

6 → 168

Calls

Call 1

Inputs
#<alt (*.f64 z x)>
#<alt (.f64 z (-.f64 (.f64 y x) x))>
#<alt (-.f64 (*.f64 y x) x)>
#<alt (*.f64 y x)>
#<alt (fma.f64 (*.f64 z y) x x)>
#<alt (*.f64 z y)>

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

Calls

42 calls:

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

rewrite441.0ms (4.7%)

Memory

28.2MiB live, 789.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 884×	`lower-fma.f32`
7 882×	`lower-fma.f64`
5 006×	`lower-*.f32`
4 998×	`lower-*.f64`
3 228×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	16	27
1	51	27
2	325	27
3	3441	27
0	8751	27

Stop Event

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

Counts

6 → 425

Calls

Call 1

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

Outputs
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z (.f64 x y)) (*.f64 z (neg.f64 x)))
(+.f64 (.f64 z (neg.f64 x)) (.f64 z (*.f64 x y)))
(fma.f64 z (.f64 x y) (.f64 z (neg.f64 x)))
(fma.f64 z (neg.f64 x) (.f64 z (.f64 x y)))
(fma.f64 x (.f64 z y) (.f64 z (neg.f64 x)))
(fma.f64 x (pow.f64 (.f64 z y) #s(literal 1 binary64)) (.f64 z (neg.f64 x)))
(fma.f64 x (exp.f64 (log.f64 (.f64 z y))) (.f64 z (neg.f64 x)))
(fma.f64 (.f64 z x) y (.f64 z (neg.f64 x)))
(fma.f64 y (.f64 z x) (.f64 z (neg.f64 x)))
(fma.f64 (.f64 x y) z (.f64 z (neg.f64 x)))
(fma.f64 (.f64 x y) (pow.f64 z #s(literal 1 binary64)) (.f64 z (neg.f64 x)))
(fma.f64 (.f64 x y) (exp.f64 (log.f64 z)) (.f64 z (neg.f64 x)))
(fma.f64 (.f64 z y) x (.f64 z (neg.f64 x)))
(fma.f64 (neg.f64 x) z (.f64 z (.f64 x y)))
(fma.f64 #s(literal -1 binary64) (.f64 z x) (.f64 z (*.f64 x y)))
(fma.f64 (.f64 z #s(literal -1 binary64)) x (.f64 z (*.f64 x y)))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 z x) #s(literal 1 binary64)) (.f64 z (neg.f64 x)))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (.f64 x y) (.f64 z (neg.f64 x)))
(fma.f64 (pow.f64 (.f64 z y) #s(literal 1 binary64)) x (.f64 z (neg.f64 x)))
(fma.f64 (pow.f64 (.f64 z x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (.f64 z (neg.f64 x)))
(fma.f64 (exp.f64 (log.f64 (.f64 z y))) x (.f64 z (neg.f64 x)))
(fma.f64 (exp.f64 (log.f64 z)) (.f64 x y) (.f64 z (neg.f64 x)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 z x))) (.f64 z (neg.f64 x)))
(fma.f64 (exp.f64 (log.f64 (.f64 z x))) (exp.f64 (log.f64 y)) (.f64 z (neg.f64 x)))
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x))) (.f64 z (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y x) (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x))) (.f64 z (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y x) (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x))))))
(/.f64 (.f64 z (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))
(/.f64 (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (fma.f64 x y x))
(/.f64 (neg.f64 (.f64 z (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))))
(/.f64 (neg.f64 (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x)))) (neg.f64 (fma.f64 x y x)))
(/.f64 (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (fma.f64 z (.f64 (.f64 x y) (.f64 z (.f64 x y))) (-.f64 (.f64 (.f64 z x) (.f64 z x)) (.f64 (.f64 z (.f64 x y)) (*.f64 z (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 z y) (.f64 z (.f64 x (.f64 x y)))) (.f64 (.f64 z x) (.f64 z x))) (-.f64 (.f64 z (.f64 x y)) (*.f64 z (neg.f64 x))))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x))))
(/.f64 (.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x)))
(/.f64 (.f64 z (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))))
(/.f64 (.f64 z (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)))) (neg.f64 (fma.f64 x y x)))
(/.f64 (.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x)))
(/.f64 (.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) z) (neg.f64 (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))))
(/.f64 (.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) z) (neg.f64 (fma.f64 x y x)))
(/.f64 (/.f64 (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (+.f64 y #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (neg.f64 (.f64 z (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))))
(/.f64 (neg.f64 (neg.f64 (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x))))) (neg.f64 (neg.f64 (fma.f64 x y x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (neg.f64 (fma.f64 z (.f64 (.f64 x y) (.f64 z (.f64 x y))) (-.f64 (.f64 (.f64 z x) (.f64 z x)) (.f64 (.f64 z (.f64 x y)) (*.f64 z (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 z y) (.f64 z (.f64 x (.f64 x y)))) (.f64 (.f64 z x) (.f64 z x)))) (neg.f64 (-.f64 (.f64 z (.f64 x y)) (*.f64 z (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 z #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x))))
(/.f64 (neg.f64 (.f64 z (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))))
(/.f64 (neg.f64 (.f64 z (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x))))) (neg.f64 (neg.f64 (fma.f64 x y x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) z)) (neg.f64 (neg.f64 (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) z)) (neg.f64 (neg.f64 (fma.f64 x y x))))
(/.f64 (neg.f64 (/.f64 (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (+.f64 y #s(literal 1 binary64)))) (neg.f64 x))
(pow.f64 (/.f64 (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x))) (.f64 z (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x y x) (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x)))) #s(literal -1 binary64))
(.f64 z (-.f64 (.f64 x y) x))
(.f64 (-.f64 (.f64 x y) x) z)
(.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))) z))
(.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 z (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))))
(.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) z))
(.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (/.f64 z (fma.f64 x y x)))
(.f64 (.f64 z (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))))
(.f64 (.f64 z (.f64 x (-.f64 (.f64 x (*.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) x))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 y #s(literal 1 binary64))) (/.f64 z x))
(.f64 (/.f64 (.f64 z (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (fma.f64 x y x)) (.f64 (.f64 x (fma.f64 x y x)) (.f64 x (fma.f64 x y x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))))) (fma.f64 x (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (fma.f64 x y x)) (-.f64 (.f64 x (fma.f64 x y x)) (.f64 x (.f64 x (*.f64 y y)))))))
(.f64 (/.f64 (.f64 z (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x))) (.f64 x (-.f64 (.f64 x (.f64 y y)) (fma.f64 x y x))))) (.f64 x (-.f64 (.f64 x (*.f64 y y)) (fma.f64 x y x))))
(.f64 (/.f64 (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (-.f64 (*.f64 x y) x))
(.f64 (/.f64 (.f64 z (.f64 x (-.f64 (.f64 x (.f64 y y)) x))) (.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (-.f64 (.f64 x (fma.f64 x (.f64 y y) x)) (.f64 x (*.f64 x y))))
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x y))
(+.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y x)) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x y x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) x))) #s(literal -1 binary64)))
(-.f64 (*.f64 x y) x)
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 x y)))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y x)) (/.f64 (.f64 x x) (fma.f64 x y x)))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) x)
(fma.f64 x y (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x y))
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (fma.f64 x y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 x (exp.f64 (log.f64 y)) (neg.f64 x))
(fma.f64 y x (neg.f64 x))
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (fma.f64 x y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (fma.f64 x y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x))))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 x y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (*.f64 y y) (fma.f64 x y x))))))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x y x))))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 (.f64 x y) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x))))))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 y (fma.f64 x y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x))))))
(fma.f64 #s(literal -1 binary64) x (*.f64 x y))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 y y) (fma.f64 x y x))))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 x (fma.f64 x y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (fma.f64 x y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y y)) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x y)) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 x y) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y y) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (/.f64 (.f64 x (.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 y x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 x x) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 (/.f64 (.f64 x (.f64 y y)) (+.f64 y #s(literal 1 binary64))) (/.f64 x x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y x))))
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(.f64 (/.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 x (.f64 z (.f64 x y))) (.f64 (-.f64 x (.f64 z (.f64 x y))) (-.f64 x (.f64 z (.f64 x y))))) (.f64 (.f64 z (.f64 (.f64 x y) (.f64 (.f64 z y) (.f64 z (.f64 x (.f64 x y)))))) (.f64 z (.f64 (.f64 x y) (.f64 (.f64 z y) (.f64 z (.f64 x (.f64 x y))))))))) (fma.f64 z (.f64 (.f64 (.f64 x y) (.f64 z (.f64 x y))) (.f64 (.f64 z y) (.f64 z (.f64 x (.f64 x y))))) (.f64 (.f64 x (-.f64 x (.f64 z (.f64 x y)))) (-.f64 (.f64 x (-.f64 x (.f64 z (.f64 x y)))) (.f64 (.f64 z y) (.f64 z (.f64 x (*.f64 x y))))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 z (.f64 x y)) (.f64 x (fma.f64 z y #s(literal -1 binary64))) (.f64 x x)) (.f64 x (-.f64 (.f64 (.f64 z x) (.f64 y (.f64 z y))) (-.f64 x (.f64 z (.f64 x y))))))) (.f64 x (-.f64 (.f64 (.f64 z x) (.f64 y (.f64 z y))) (-.f64 x (.f64 z (*.f64 x y))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z (.f64 x y)) (.f64 x (fma.f64 z y #s(literal -1 binary64))) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (.f64 z (.f64 x y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 z (.f64 x y)) (.f64 (.f64 (.f64 z y) (.f64 z (.f64 x (.f64 x y)))) (.f64 x (.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z (.f64 x y)) (.f64 x (fma.f64 z y #s(literal -1 binary64))) (.f64 x x)) (.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y))) #s(literal 1 binary64)) (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 z y #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y))) #s(literal 1 binary64)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 x y)) (.f64 z (.f64 (.f64 x y) (.f64 (.f64 z y) (.f64 z (.f64 x (.f64 x y)))))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 z x) (.f64 y (*.f64 z y)) x))))))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 z y #s(literal -1 binary64))) (.f64 (.f64 x (fma.f64 (.f64 z x) (.f64 y (.f64 z y)) x)) (.f64 (fma.f64 z (.f64 x y) x) (.f64 x (fma.f64 z y #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 z x) (.f64 y (.f64 z y)) x))))
(*.f64 z y)
(.f64 z (.f64 y #s(literal 1 binary64)))
(*.f64 y z)
(.f64 y (.f64 z #s(literal 1 binary64)))
(.f64 (.f64 z y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z y))

simplify462.0ms (4.9%)

Memory

-18.5MiB live, 432.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 008×	`lower-fma.f64`
6 008×	`lower-fma.f32`
4 332×	`lower-*.f64`
4 332×	`lower-*.f32`
1 232×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	806
1	204	806
2	561	806
3	1178	806
4	2589	806
5	4009	806
6	5072	806
7	6187	806
8	6800	806
9	7074	806
10	7316	806
11	7936	806
0	8207	776

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

Calls

Call 1

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

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

eval76.0ms (0.8%)

Memory: -14.4MiB live, 137.5MiB allocated
Compiler: Compiled 15 090 to 1 234 computations (91.8% saved)

prune67.0ms (0.7%)

Memory

12.3MiB live, 173.1MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	590	1	591
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	590	11	601

Accuracy

100.0%

Counts

601 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
✓	69.5%	(fma.f64 (*.f64 z y) x x)
	73.1%	(fma.f64 (*.f64 z x) y x)
✓	38.9%	(.f64 (.f64 z x) y)
✓	62.5%	(.f64 z (-.f64 (.f64 y x) x))
✓	36.3%	(.f64 z (.f64 y x))
✓	32.4%	(*.f64 z (neg.f64 x))
✓	6.8%	(*.f64 z x)
✓	66.2%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	34.7%	(.f64 x (.f64 z y))
✓	36.5%	x

Compiler

Compiled 179 to 89 computations (50.3% saved)

regimes40.0ms (0.4%)

Memory

-12.5MiB live, 64.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
5.0ms	z
5.0ms	x
5.0ms	y
5.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
99.0%	2	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
99.0%	2	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.3%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes34.0ms (0.4%)

Memory

22.2MiB live, 60.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
98.5%	2	`z`
96.3%	1	`y`
98.5%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
96.3%	1	`(-.f64 #s(literal 1 binary64) y)`
96.3%	1	`x`
98.5%	2	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.5%	2	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes34.0ms (0.4%)

Memory

-16.4MiB live, 72.3MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
5.0ms	x
4.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
97.1%	3	`(-.f64 #s(literal 1 binary64) y)`
79.1%	2	`x`
97.1%	3	`y`
99.1%	3	`z`
90.2%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.4%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.4%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes20.0ms (0.2%)

Memory

3.1MiB live, 42.4MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
4.0ms	y
4.0ms	z
4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
97.1%	3	`y`
97.1%	3	`(-.f64 #s(literal 1 binary64) y)`
85.0%	5	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
85.0%	5	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
80.5%	3	`z`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes10.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
87.9%	3	`y`
87.9%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

-25.9MiB live, 12.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.3%	3	`y`
87.3%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.8%	3	`y`
85.8%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes42.0ms (0.4%)

Memory

-11.7MiB live, 30.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
66.2%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
66.2%	1	`z`
66.2%	1	`x`
66.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
66.2%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
70.4%	2	`y`
70.4%	2	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes10.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.2%	1	`z`
66.2%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
66.2%	1	`y`
66.2%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes48.0ms (0.5%)

Memory

-19.3MiB live, 19.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

7 calls:

35.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
2.0ms	x
2.0ms	y
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms	z

Results

Accuracy	Segments	Branch
40.5%	2	`x`
65.3%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
57.0%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
42.2%	3	`(-.f64 #s(literal 1 binary64) y)`
45.3%	3	`y`
65.5%	3	`z`
65.3%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes13.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
(*.f64 z x)
x

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
36.5%	1	`x`
36.5%	1	`(-.f64 #s(literal 1 binary64) y)`
36.5%	1	`y`
38.9%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
38.9%	2	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
38.9%	2	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
38.5%	2	`z`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes8.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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

5 calls:

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

Results

Accuracy	Segments	Branch
36.5%	1	`(-.f64 #s(literal 1 binary64) y)`
36.5%	1	`z`
36.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
36.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
36.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`

Compiler

Compiled 40 to 29 computations (27.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	638352596.7539542	763827172.0186116

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.791612981115424e+273	-6.298274569338572e+251

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch60.0ms (0.6%)

Memory

-15.8MiB live, 23.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.1635216577335021	12614833.68314837
46.0ms	-1.07766221299981e+24	-1.30153195541367e+19

Samples

48.0ms

288×

valid

Compiler

Compiled 393 to 248 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sub: 38.0ms (91.2% of total)

ival-mult: 3.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	14.506227614094588
0.0ms	-4373837124745904.0	-3377.860185238779

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.176216143949354e+85	1.4336994452221758e+92
0.0ms	-5.146120042908302e+45	-3.0261344031479e+41

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.176216143949354e+85	1.4336994452221758e+92
0.0ms	-5.146120042908302e+45	-3.0261344031479e+41

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.804027460125354e+132	1.1631766346954794e+142
0.0ms	-5.146120042908302e+45	-3.0261344031479e+41

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch13.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-4373837124745904.0	-3377.860185238779

Samples

7.0ms

160×

valid

Compiler

Compiled 195 to 155 computations (20.5% saved)

Precisions

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

ival-mult: 2.0ms (64.6% of total)

ival-sub: 1.0ms (32.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch44.0ms (0.5%)

Memory

-28.4MiB live, 9.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.1635216577335021	12614833.68314837
43.0ms	-0.0023085824070902543	-0.0012804422681684307

Samples

40.0ms

64×

valid

Compiler

Compiled 184 to 144 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sub: 38.0ms (97.7% of total)

ival-mult: 1.0ms (2.6% 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

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-638352595.7539542	-12614832.68314837

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify71.0ms (0.8%)

Memory

-2.2MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Rules

210×	`distribute-lft-neg-in_binary64`
142×	`unsub-neg_binary64`
114×	`neg-mul-1_binary64`
94×	`neg-sub0_binary64`
72×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	237
1	96	237
2	121	237
3	141	237
4	181	237
5	237	237
6	304	237
7	390	237
8	477	237
9	539	237
10	593	237
11	630	237
12	656	237
13	666	237
14	668	237

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 700000000 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x) x) (.f64 z (-.f64 (.f64 y x) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (fma.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) x x))
(if (<=.f64 z #s(literal -13200000000000000000 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 1 binary64)) (fma.f64 (.f64 z y) x x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4000000000000000 binary64)) (fma.f64 (.f64 z x) y x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 z x) y x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999965699095179735106473829597184 binary64)) (.f64 (.f64 z x) y) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999965699095179735106473829597184 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999965699095179735106473829597184 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3400 binary64)) (.f64 (+.f64 z #s(literal 1 binary64)) x) (.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -662929865148937/288230376151711744 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) x (.f64 z (neg.f64 x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -500000000 binary64)) (.f64 z x) x)
x

Outputs
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 700000000 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z x) x) (.f64 z (-.f64 (.f64 y x) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -1999999999999999890804683393185349769157953083910885318265220719651437388485828238629684325641350559298078414599142617667693818382277369945015978564673391565215334080451836550101368130522335033956354709580531210130932132738753700702586121847078092877339360813809429907505152 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (fma.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) x x))
(if (<=.f64 z #s(literal -13200000000000000000 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 1 binary64)) (fma.f64 (.f64 z y) x x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 z #s(literal -13200000000000000000 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 1 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 -4000000000000000 binary64)) (fma.f64 (.f64 z x) y x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 z x) y x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999965699095179735106473829597184 binary64)) (.f64 (.f64 z x) y) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999965699095179735106473829597184 binary64)) (.f64 y (.f64 z x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999965699095179735106473829597184 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999965699095179735106473829597184 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999965699095179735106473829597184 binary64)) (.f64 x (.f64 y z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 y z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3400 binary64)) (.f64 (+.f64 z #s(literal 1 binary64)) x) (.f64 x (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3400 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -662929865148937/288230376151711744 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) x (.f64 z (neg.f64 x))))
(if (<=.f64 z #s(literal -662929865148937/288230376151711744 binary64)) (neg.f64 (.f64 z x)) (if (<=.f64 z #s(literal 1 binary64)) x (neg.f64 (.f64 z x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -500000000 binary64)) (.f64 z x) x)
(if (<=.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 y #s(literal -1 binary64)))) #s(literal -500000000 binary64)) (.f64 z x) x)
x

soundness2.3s (24.2%)

Memory

31.3MiB live, 1 231.2MiB allocated

Rules

9 302×	`lower-fma.f64`
9 302×	`lower-fma.f32`
8 612×	`lower-fma.f64`
8 612×	`lower-fma.f32`
7 884×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1042
1	236	951
2	682	951
3	1558	951
4	4256	951
5	6676	951
0	8122	900
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	65	1176
1	198	1064
2	574	1064
3	1360	1064
4	3622	1064
5	6190	1064
6	7938	1064
0	8002	1034
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22
0	15	41
0	26	39
1	81	39
2	491	39
3	5194	39
0	8625	39
0	13	37
0	24	38
1	83	38
2	532	33
3	6896	33
0	8130	32
0	9	27
0	16	27
1	51	27
2	325	27
3	3441	27
0	8751	27

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

Compiler

Compiled 478 to 226 computations (52.7% saved)

preprocess126.0ms (1.4%)

Memory: 0.3MiB live, 236.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 682 to 220 computations (67.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	35
0	16	35
1	28	35
2	44	35
3	65	35
4	104	35
5	202	35
6	341	35
7	558	35
8	807	35
9	940	35
10	958	35
0	958	35

Iter	Nodes	Cost
0	66	237
1	96	237
2	121	237
3	141	237
4	181	237
5	237	237
6	304	237
7	390	237
8	477	237
9	539	237
10	593	237
11	630	237
12	656	237
13	666	237
14	668	237

Iter	Nodes	Cost
0	9	35
0	16	35
1	28	35
2	44	35
3	65	35
4	104	35
5	202	35
6	341	35
7	558	35
8	807	35
9	940	35
10	958	35
0	958	35

Iter	Nodes	Cost
0	66	237
1	96	237
2	121	237
3	141	237
4	181	237
5	237	237
6	304	237
7	390	237
8	477	237
9	539	237
10	593	237
11	630	237
12	656	237
13	666	237
14	668	237

analyze0.0ms (0%)

sample846.0ms (9%)

preprocess261.0ms (2.8%)

explain361.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify118.0ms (1.3%)

localize119.0ms (1.3%)

series7.0ms (0.1%)

rewrite645.0ms (6.9%)

simplify224.0ms (2.4%)

eval95.0ms (1%)

prune110.0ms (1.2%)

simplify61.0ms (0.7%)

localize67.0ms (0.7%)

series22.0ms (0.2%)

rewrite461.0ms (4.9%)

simplify267.0ms (2.9%)

eval72.0ms (0.8%)

prune181.0ms (1.9%)

simplify75.0ms (0.8%)

localize48.0ms (0.5%)

series6.0ms (0.1%)

rewrite566.0ms (6%)

simplify322.0ms (3.4%)

eval102.0ms (1.1%)

prune275.0ms (2.9%)

simplify107.0ms (1.1%)

localize32.0ms (0.3%)

series6.0ms (0.1%)

rewrite441.0ms (4.7%)

simplify462.0ms (4.9%)

eval76.0ms (0.8%)

prune67.0ms (0.7%)

regimes40.0ms (0.4%)

regimes34.0ms (0.4%)

regimes34.0ms (0.4%)

regimes20.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes42.0ms (0.4%)

regimes10.0ms (0.1%)

regimes48.0ms (0.5%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch60.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch44.0ms (0.5%)

bsearch0.0ms (0%)

simplify71.0ms (0.8%)

soundness2.3s (24.2%)

preprocess126.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	35
0	16	35
1	28	35
2	44	35
3	65	35
4	104	35
5	202	35
6	341	35
7	558	35
8	807	35
9	940	35
10	958	35
0	958	35

Iter	Nodes	Cost
0	66	237
1	96	237
2	121	237
3	141	237
4	181	237
5	237	237
6	304	237
7	390	237
8	477	237
9	539	237
10	593	237
11	630	237
12	656	237
13	666	237
14	668	237