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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample997.0ms (13.7%)

Memory

5.1MiB live, 909.2MiB allocated

Samples

602.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-mult: 126.0ms (56.1% of total)

ival-sub: 50.0ms (22.2% of total)

ival-add: 34.0ms (15.1% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess100.0ms (1.4%)

Memory

22.6MiB live, 97.5MiB allocated

Algorithm

1×	egg-herbie

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
358×	`unsub-neg`
346×	`distribute-rgt-in`
294×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	188	81
3	533	68
4	1125	64
5	1893	63
6	2270	63
7	2306	63
8	2310	63
9	2310	63
0	8	9
0	12	9
1	19	9
2	29	9
3	52	9
4	107	8
5	155	7
6	246	7
7	396	7
8	557	7
9	624	7
10	626	7
0	626	6

Stop Event

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

Calls

Call 1

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

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

explain269.0ms (3.7%)

Memory

-21.0MiB live, 139.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	8	0
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	45

Confusion

	Predicted +	Predicted -
+	8	0
-	0	248

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	248
1	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-mult: 7.0ms (42.4% of total)

ival-add: 6.0ms (36.3% of total)

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.8%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify34.0ms (0.5%)

Memory

3.0MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
240×	`lower-*.f32`
236×	`lower-*.f64`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize216.0ms (3%)

Memory

-4.7MiB live, 36.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	accuracy	97.2%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

208.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 197.0ms (98.4% of total)

ival-sub: 1.0ms (0.5% of total)

ival-add: 1.0ms (0.5% 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

5.8MiB live, 5.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite571.0ms (7.9%)

Memory

26.8MiB live, 546.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 772×	`lower-*.f32`
6 768×	`lower-*.f64`
6 392×	`lower-fma.f64`
6 392×	`lower-fma.f32`
3 490×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	44	20
2	314	20
3	3845	20
0	11265	19

Stop Event

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

Counts

4 → 317

Calls

Call 1

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

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

simplify330.0ms (4.5%)

Memory

-20.8MiB live, 366.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
2 438×	`lower-*.f64`
2 438×	`lower-*.f32`
1 490×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

eval65.0ms (0.9%)

Memory: -25.5MiB live, 95.0MiB allocated
Compiler: Compiled 11 201 to 1 111 computations (90.1% saved)

prune155.0ms (2.1%)

Memory

-11.7MiB live, 108.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	407	4	411
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	4	412

Accuracy

100.0%

Counts

412 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (-.f64 y z) z)
▶	65.3%	(-.f64 z (*.f64 z x))
▶	65.5%	(*.f64 x (-.f64 y z))
▶	39.0%	(*.f64 x y)

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify30.0ms (0.4%)

Memory

20.3MiB live, 59.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

608×	`lower-fma.f32`
606×	`lower-fma.f64`
240×	`lower-*.f32`
234×	`lower-*.f64`
152×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	15	38
1	25	38
2	39	38
3	65	38
4	110	38
5	207	38
6	330	38
7	512	38
8	638	38
9	666	38
0	666	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.4%)

Memory

-1.0MiB live, 76.5MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.9% of total)

ival-sub: 3.0ms (30.5% of total)

ival-add: 1.0ms (10.2% of total)

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

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

series11.0ms (0.2%)

Memory

-17.3MiB live, 23.1MiB allocated

Counts

6 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite386.0ms (5.3%)

Memory

28.7MiB live, 550.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 920×	`lower-fma.f32`
5 918×	`lower-fma.f64`
5 012×	`lower-*.f32`
5 006×	`lower-*.f64`
2 096×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	15	25
1	58	25
2	424	25
3	5086	25
0	8628	25

Stop Event

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

Counts

6 → 294

Calls

Call 1

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

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

simplify261.0ms (3.6%)

Memory

-10.1MiB live, 302.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 970×	`lower-fma.f64`
5 970×	`lower-fma.f32`
2 222×	`lower-*.f64`
2 222×	`lower-*.f32`
1 510×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	716
1	263	716
2	760	716
3	2357	716
4	5012	716
5	6533	716
6	7652	716
0	8192	689

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 163

Calls

Call 1

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

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

eval74.0ms (1%)

Memory: -10.2MiB live, 116.9MiB allocated
Compiler: Compiled 12 360 to 867 computations (93% saved)

prune90.0ms (1.2%)

Memory

1.3MiB live, 114.2MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	550	2	552
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	551	5	556

Accuracy

100.0%

Counts

556 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.3%	(fma.f64 (neg.f64 z) x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
✓	65.5%	(*.f64 x (-.f64 y z))
▶	31.6%	(*.f64 x (neg.f64 z))
✓	39.0%	(*.f64 x y)

Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify17.0ms (0.2%)

Memory

-8.2MiB live, 36.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

176×	`lower-fma.f32`
174×	`lower-fma.f64`
112×	`lower-*.f32`
110×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	9	17
1	18	17
2	31	17
3	51	17
4	67	17
5	116	17
6	161	17
7	256	17
8	290	17
9	296	17
0	296	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

5.3MiB live, 42.4MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

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

ival-mult: 3.0ms (49.3% of total)

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

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

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

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

series2.0ms (0%)

Memory

3.7MiB live, 3.6MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite275.0ms (3.8%)

Memory

21.5MiB live, 409.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 686×	`lower-fma.f32`
3 684×	`lower-fma.f64`
2 928×	`lower-/.f64`
2 928×	`lower-/.f32`
2 866×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	9	11
1	31	11
2	201	11
3	1997	8
0	10319	8

Stop Event

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

Counts

3 → 290

Calls

Call 1

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

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

simplify281.0ms (3.9%)

Memory

14.7MiB live, 299.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 752×	`lower-fma.f64`
3 752×	`lower-fma.f32`
2 176×	`lower-*.f64`
2 176×	`lower-*.f32`
1 332×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	255
1	67	234
2	138	234
3	280	234
4	704	234
5	1661	234
6	2493	234
7	3250	234
8	3716	234
9	3972	234
10	3984	234
11	3984	234
12	4499	234
13	5124	234
14	5475	234
15	5625	234
16	5749	234
17	6267	234
18	7283	234
19	7481	234
20	7679	234
21	7697	234
0	8236	234

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

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

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

eval45.0ms (0.6%)

Memory: -0.6MiB live, 111.5MiB allocated
Compiler: Compiled 8 756 to 746 computations (91.5% saved)

prune57.0ms (0.8%)

Memory

-14.2MiB live, 139.5MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	389	2	391
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	389	7	396

Accuracy

100.0%

Counts

396 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.3%	(fma.f64 (neg.f64 z) x z)
▶	36.1%	(fma.f64 z x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
▶	3.7%	(*.f64 z x)
✓	65.5%	(*.f64 x (-.f64 y z))
✓	31.6%	(*.f64 x (neg.f64 z))
✓	39.0%	(*.f64 x y)

Compiler

Compiled 51 to 32 computations (37.3% saved)

simplify6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

28×	`lower-*.f32`
26×	`lower-*.f64`
16×	`lower-fma.f32`
14×	`lower-fma.f64`
8×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	6	11
1	8	11
2	11	11
3	15	11
4	21	11
5	21	11
6	34	11
7	34	11
0	34	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.4%)

Memory

-4.5MiB live, 33.8MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

22.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

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

ival-mult: 14.0ms (88.3% of total)

ival-add: 1.0ms (6.3% of total)

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

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite690.0ms (9.5%)

Memory

-23.6MiB live, 828.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 392×	`lower-fma.f32`
18 390×	`lower-fma.f64`
4 258×	`lower-*.f32`
4 256×	`lower-*.f64`
4 054×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	21	7
2	146	7
3	1459	7
0	8296	7

Stop Event

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

Counts

2 → 223

Calls

Call 1

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

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

simplify282.0ms (3.9%)

Memory

19.0MiB live, 257.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 752×	`lower-fma.f64`
3 752×	`lower-fma.f32`
2 176×	`lower-*.f64`
2 176×	`lower-*.f32`
1 346×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	184
1	64	184
2	151	184
3	328	184
4	786	184
5	1769	184
6	2575	184
7	3378	184
8	3860	184
9	4113	184
10	4125	184
11	4125	184
12	4646	184
13	5275	184
14	5626	184
15	5775	184
16	5899	184
17	6417	184
18	7426	184
19	7624	184
20	7822	184
21	7840	184
0	8382	163

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

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

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

eval122.0ms (1.7%)

Memory: 3.0MiB live, 75.9MiB allocated
Compiler: Compiled 9 508 to 509 computations (94.6% saved)

prune51.0ms (0.7%)

Memory

-5.7MiB live, 104.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	270	7	277

Accuracy

100.0%

Counts

277 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.3%	(fma.f64 (neg.f64 z) x z)
✓	36.1%	(fma.f64 z x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
✓	3.7%	(*.f64 z x)
✓	65.5%	(*.f64 x (-.f64 y z))
✓	31.6%	(*.f64 x (neg.f64 z))
✓	39.0%	(*.f64 x y)

Compiler

Compiled 98 to 49 computations (50% saved)

regimes16.0ms (0.2%)

Memory

7.6MiB live, 45.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes19.0ms (0.3%)

Memory

-22.1MiB live, 40.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
3.0ms	z

Results

Accuracy	Segments	Branch
86.8%	3	`x`
85.0%	3	`y`
80.0%	3	`z`
78.1%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
86.8%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-14.0MiB live, 25.7MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.1%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
58.0%	5	`z`
61.5%	5	`y`
66.0%	4	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.3%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

Accuracy

Total -22.8b remaining (-58.5%)

Threshold costs -22.8b (-58.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x y)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.0%	1	`z`
39.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
39.0%	1	`y`
39.0%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch25.0ms (0.3%)

Memory

-14.0MiB live, 64.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.476782393634459e-14	1.7095587362114137e-12
13.0ms	-3.0136462528304e-68	-2.9331642903543074e-79

Samples

14.0ms

272×

valid

Compiler

Compiled 321 to 218 computations (32.1% saved)

Precisions

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

ival-mult: 4.0ms (56.7% of total)

ival-sub: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch64.0ms (0.9%)

Memory

-16.2MiB live, 24.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	1.4744094670310185e-18	4.63928486800239e-16
1.0ms	-3.0136462528304e-68	-2.9331642903543074e-79

Samples

58.0ms

128×

valid

Compiler

Compiled 321 to 212 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 54.0ms (97.7% of total)

ival-sub: 1.0ms (1.8% of total)

ival-add: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.4%)

Memory

7.7MiB live, 45.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	1.840476738319312	447.99623216928967
7.0ms	-3.0136462528304e-68	-2.9331642903543074e-79
5.0ms	-9.830290587138521e+253	-5.553568099046638e+253

Samples

12.0ms

256×

valid

Compiler

Compiled 337 to 235 computations (30.3% saved)

Precisions

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

ival-mult: 3.0ms (48.7% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.4744094670310185e-18	4.63928486800239e-16
1.0ms	-3.0136462528304e-68	-2.9331642903543074e-79

Samples

3.0ms

64×

valid

Compiler

Compiled 285 to 194 computations (31.9% saved)

Precisions

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

ival-mult: 1.0ms (59.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify46.0ms (0.6%)

Memory

-19.0MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	99
1	49	99
2	59	99
3	64	99
4	67	99
5	68	99

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(if (<=.f64 x #s(literal -1311301502252367/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 693246421999813/4951760157141521099596496896 binary64)) (-.f64 z (.f64 z x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -1311301502252367/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 7707315649387635/40564819207303340847894502572032 binary64)) (fma.f64 z x z) (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -81999999999999999990800244584328677063575011587057257251025853240840131789608617341579865400638026015563395428298916321046228097275296651449558844037998014627362017445775129770498530982036659665381333054754144655878893714170565471373474255769687415586816 binary64)) (.f64 x (neg.f64 z)) (if (<=.f64 x #s(literal -5828006676677187/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 z x z) (*.f64 x (neg.f64 z)))))
(if (<=.f64 x #s(literal -5828006676677187/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 5476250592985951/40564819207303340847894502572032 binary64)) (fma.f64 z x z) (.f64 x y)))
(*.f64 x y)

Outputs
(fma.f64 x (-.f64 y z) z)
(if (<=.f64 x #s(literal -1311301502252367/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 693246421999813/4951760157141521099596496896 binary64)) (-.f64 z (.f64 z x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -1311301502252367/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 693246421999813/4951760157141521099596496896 binary64)) (-.f64 z (.f64 x z)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -1311301502252367/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 7707315649387635/40564819207303340847894502572032 binary64)) (fma.f64 z x z) (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -81999999999999999990800244584328677063575011587057257251025853240840131789608617341579865400638026015563395428298916321046228097275296651449558844037998014627362017445775129770498530982036659665381333054754144655878893714170565471373474255769687415586816 binary64)) (.f64 x (neg.f64 z)) (if (<=.f64 x #s(literal -5828006676677187/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 z x z) (*.f64 x (neg.f64 z)))))
(if (<=.f64 x #s(literal -81999999999999999990800244584328677063575011587057257251025853240840131789608617341579865400638026015563395428298916321046228097275296651449558844037998014627362017445775129770498530982036659665381333054754144655878893714170565471373474255769687415586816 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -5828006676677187/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 z x z) (*.f64 z (neg.f64 x)))))
(if (<=.f64 x #s(literal -5828006676677187/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 5476250592985951/40564819207303340847894502572032 binary64)) (fma.f64 z x z) (.f64 x y)))
(*.f64 x y)

soundness1.3s (17.5%)

Memory

13.5MiB live, 532.7MiB allocated

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
5 970×	`lower-fma.f64`
5 970×	`lower-fma.f32`
5 920×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	9	11
1	31	11
2	201	11
3	1997	8
0	10319	8
0	9	25
0	15	25
1	58	25
2	424	25
3	5086	25
0	8628	25
0	57	471
1	192	442
2	558	442
3	1390	442
4	3891	442
5	6310	442
0	8026	415
0	80	716
1	263	716
2	760	716
3	2357	716
4	5012	716
5	6533	716
6	7652	716
0	8192	689

Stop Event

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

Compiler

Compiled 237 to 119 computations (49.8% saved)

preprocess255.0ms (3.5%)

Memory: -12.3MiB live, 140.3MiB allocated
Compiler: Compiled 228 to 86 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	9	38
0	15	38
1	25	38
2	39	38
3	65	38
4	110	38
5	207	38
6	330	38
7	512	38
8	638	38
9	666	38
0	666	38

Iter	Nodes	Cost
0	5	17
0	9	17
1	18	17
2	31	17
3	51	17
4	67	17
5	116	17
6	161	17
7	256	17
8	290	17
9	296	17
0	296	17

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	9	38
0	15	38
1	25	38
2	39	38
3	65	38
4	110	38
5	207	38
6	330	38
7	512	38
8	638	38
9	666	38
0	666	38

Iter	Nodes	Cost
0	5	17
0	9	17
1	18	17
2	31	17
3	51	17
4	67	17
5	116	17
6	161	17
7	256	17
8	290	17
9	296	17
0	296	17

analyze0.0ms (0%)

sample997.0ms (13.7%)

preprocess100.0ms (1.4%)

explain269.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.5%)

localize216.0ms (3%)

series6.0ms (0.1%)

rewrite571.0ms (7.9%)

simplify330.0ms (4.5%)

eval65.0ms (0.9%)

prune155.0ms (2.1%)

simplify30.0ms (0.4%)

localize31.0ms (0.4%)

series11.0ms (0.2%)

rewrite386.0ms (5.3%)

simplify261.0ms (3.6%)

eval74.0ms (1%)

prune90.0ms (1.2%)

simplify17.0ms (0.2%)

localize22.0ms (0.3%)

series2.0ms (0%)

rewrite275.0ms (3.8%)

simplify281.0ms (3.9%)

eval45.0ms (0.6%)

prune57.0ms (0.8%)

simplify6.0ms (0.1%)

localize28.0ms (0.4%)

series1.0ms (0%)

rewrite690.0ms (9.5%)

simplify282.0ms (3.9%)

eval122.0ms (1.7%)

prune51.0ms (0.7%)

regimes16.0ms (0.2%)

regimes19.0ms (0.3%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch25.0ms (0.3%)

bsearch64.0ms (0.9%)

bsearch31.0ms (0.4%)

bsearch7.0ms (0.1%)

simplify46.0ms (0.6%)

soundness1.3s (17.5%)

preprocess255.0ms (3.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	9	38
0	15	38
1	25	38
2	39	38
3	65	38
4	110	38
5	207	38
6	330	38
7	512	38
8	638	38
9	666	38
0	666	38

Iter	Nodes	Cost
0	5	17
0	9	17
1	18	17
2	31	17
3	51	17
4	67	17
5	116	17
6	161	17
7	256	17
8	290	17
9	296	17
0	296	17