Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

analyze41.0ms (0.5%)

Memory

-9.9MiB live, 68.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample944.0ms (11.2%)

Memory

-115.7MiB live, 1 177.3MiB allocated

Samples

408.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-div: 63.0ms (33.1% of total)

ival-mult: 59.0ms (31% of total)

ival-add: 58.0ms (30.4% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 4.0ms (2.1% of total)

Bogosity

preprocess364.0ms (4.3%)

Memory

-6.2MiB live, 276.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 052×	`-lowering-.f32`
5 052×	`-lowering-.f64`
4 716×	`accelerator-lowering-fma.f32`
4 716×	`accelerator-lowering-fma.f64`
1 546×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	106	66
2	281	64
3	934	64
4	2669	63
5	5010	63
6	5760	63
7	5861	63
8	5957	63
9	6086	63
10	6221	63
0	6	7
1	16	7
2	21	7
3	22	7
4	30	7
5	32	7
6	36	7
7	43	7
8	48	7
9	157	7
10	549	7
11	2352	7
12	3755	7
13	3906	7
14	3991	7
15	4092	7
16	4227	7
17	4387	7
18	5904	7
19	6929	7
0	8381	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

explain97.0ms (1.1%)

Memory

-9.5MiB live, 73.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
46	-	-	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	-	`(+.f64 y z)`
0	-	-	`y`
0	-	-	`z`
0	-	-	`(*.f64 x (+.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	36	0
↳	`(*.f64 x (+.f64 y z))`	overflow	64
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	10	0
↳	`(*.f64 x (+.f64 y z))`	underflow	10

Confusion

	Predicted +	Predicted -
+	46	0
-	0	210

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	0	0
-	0	0	210

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	210
1	46

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (37.4% of total)

ival-add: 3.0ms (28% of total)

ival-mult: 3.0ms (28% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.0%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify322.0ms (3.8%)

Memory

25.3MiB live, 257.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

5 052×	`-lowering-.f32`
5 052×	`-lowering-.f64`
4 716×	`accelerator-lowering-fma.f32`
4 716×	`accelerator-lowering-fma.f64`
1 546×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	16	18
2	21	18
3	22	18
4	30	18
5	32	18
6	36	18
7	43	18
8	48	18
9	157	18
10	549	18
11	2352	18
12	3755	18
13	3906	18
14	3991	18
15	4092	18
16	4227	18
17	4387	18
18	5904	18
19	6929	18
0	8381	17

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize42.0ms (0.5%)

Memory

-14.9MiB live, 24.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	83.0%	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

36.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (40.3% of total)

ival-mult: 2.0ms (40.3% of total)

ival-add: 1.0ms (20.2% of total)

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

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

series7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

3 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite483.0ms (5.7%)

Memory

-22.1MiB live, 418.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 302×	`accelerator-lowering-fma.f32`
4 302×	`accelerator-lowering-fma.f64`
4 234×	`/-lowering-/.f32`
4 234×	`/-lowering-/.f64`
3 826×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	37	15
2	249	15
3	2311	15
0	8149	15

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 379

Calls

Call 1

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

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

simplify299.0ms (3.5%)

Memory

27.5MiB live, 223.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 456×	`accelerator-lowering-fma.f32`
2 456×	`accelerator-lowering-fma.f64`
2 212×	`-lowering-.f32`
2 212×	`-lowering-.f64`
2 096×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	456
1	171	456
2	482	456
3	1327	456
4	2607	456
5	3103	456
6	3446	456
7	3884	456
8	4074	456
9	4117	456
10	5984	456
11	6760	456
12	6984	456
13	7382	456
14	7394	456
15	7403	456
0	8073	426

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval131.0ms (1.6%)

Memory: -28.0MiB live, 125.6MiB allocated
Compiler: Compiled 10 511 to 1 292 computations (87.7% saved)

prune79.0ms (0.9%)

Memory

22.9MiB live, 110.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	469	6	475
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	6	476

Accuracy

100.0%

Counts

476 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(fma.f64 x (/.f64 y z) x)
▶	37.8%	(/.f64 (*.f64 x z) z)
▶	49.0%	(/.f64 (*.f64 x y) z)
	95.8%	(/.f64 x (/.f64 z (+.f64 y z)))
▶	83.8%	(*.f64 (/.f64 x z) (+.f64 y z))
▶	51.4%	x

Compiler

Compiled 98 to 60 computations (38.8% saved)

simplify236.0ms (2.8%)

Memory

-17.2MiB live, 213.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	128	(*.f64 (/.f64 x z) (+.f64 y z))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	1024	(/.f64 (*.f64 x z) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(fma.f64 x (/.f64 y z) x)

Rules

4 786×	`-lowering-.f32`
4 786×	`-lowering-.f64`
2 414×	`accelerator-lowering-fma.f32`
2 414×	`accelerator-lowering-fma.f64`
1 614×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	29	47
2	45	47
3	51	47
4	160	47
5	552	47
6	2350	47
7	3750	47
8	3902	47
9	3987	47
10	4088	47
11	4223	47
12	4383	47
13	5955	47
14	6980	47
0	8023	45

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize57.0ms (0.7%)

Memory

22.6MiB live, 67.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	83.8%	(*.f64 (/.f64 x z) (+.f64 y z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	74.6%	(/.f64 (*.f64 x z) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	93.7%	(/.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	95.8%	(fma.f64 x (/.f64 y z) x)

Samples

26.0ms

256×

valid

Compiler

Compiled 52 to 15 computations (71.2% saved)

Precisions

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

ival-div: 7.0ms (45.8% of total)

ival-mult: 6.0ms (39.3% of total)

ival-add: 2.0ms (13.1% of total)

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

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

series25.0ms (0.3%)

Memory

-16.9MiB live, 22.2MiB allocated

Counts

9 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	(/ y z)
1.0ms	y	@	-inf	(+ (* x (/ y z)) x)
1.0ms	x	@	0	(+ (* x (/ y z)) x)
0.0ms	x	@	inf	(+ (* x (/ y z)) x)
0.0ms	y	@	-inf	(/ y z)

rewrite452.0ms (5.4%)

Memory

2.6MiB live, 523.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 558×	`accelerator-lowering-fma.f32`
6 558×	`accelerator-lowering-fma.f64`
4 238×	`-lowering-.f32`
4 238×	`-lowering-.f64`
2 912×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	77	37
2	607	35
3	7449	35
0	8321	33

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 796

Calls

Call 1

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

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

simplify697.0ms (8.3%)

Memory

-10.3MiB live, 514.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 656×	`accelerator-lowering-fma.f32`
16 656×	`accelerator-lowering-fma.f64`
2 576×	`+-lowering-+.f64`
2 576×	`+-lowering-+.f32`
2 448×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	1008
1	125	1008
2	303	1008
3	798	1008
4	1924	1008
5	2602	1008
6	3405	1008
7	3869	1008
8	4328	1008
9	4465	1008
10	6472	1008
0	8468	948

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval278.0ms (3.3%)

Memory: 23.9MiB live, 218.6MiB allocated
Compiler: Compiled 16 395 to 1 186 computations (92.8% saved)

prune269.0ms (3.2%)

Memory

-0.0MiB live, 161.5MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 043	5	1 048
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 045	9	1 054

Accuracy

100.0%

Counts

1 054 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(fma.f64 (/.f64 x z) y x)
✓	95.8%	(fma.f64 x (/.f64 y z) x)
✓	37.8%	(/.f64 (*.f64 x z) z)
✓	49.0%	(/.f64 (*.f64 x y) z)
▶	45.6%	(/.f64 y (/.f64 z x))
▶	46.7%	(*.f64 (/.f64 y z) x)
▶	45.0%	(*.f64 (/.f64 x z) z)
▶	45.2%	(*.f64 (/.f64 x z) y)
✓	51.4%	x

Compiler

Compiled 111 to 68 computations (38.7% saved)

simplify415.0ms (4.9%)

Memory

-11.8MiB live, 233.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	384	(/.f64 y (/.f64 z x))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 (/.f64 y z) x)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	1024	(*.f64 (/.f64 x z) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 (/.f64 x z) y)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(fma.f64 (/.f64 x z) y x)

Rules

6 268×	`-lowering-.f32`
6 268×	`-lowering-.f64`
3 810×	`associate-/r/`
2 244×	`/-lowering-/.f32`
2 244×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	21	52
2	25	52
3	29	52
4	33	52
5	122	52
6	446	52
7	2039	52
8	2920	52
9	3573	52
10	3618	52
11	3669	52
12	3725	52
13	4373	52
14	4540	52
15	4817	52
16	5065	52
17	5392	52
18	5780	52
19	6226	52
20	6468	52
21	6600	52
22	6741	52
23	6825	52
0	9082	51

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize59.0ms (0.7%)

Memory

-19.4MiB live, 62.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	92.2%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	92.5%	(*.f64 (/.f64 y z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	77.3%	(*.f64 (/.f64 x z) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	91.6%	(*.f64 (/.f64 x z) y)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	92.5%	(fma.f64 (/.f64 x z) y x)

Samples

46.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-add: 17.0ms (49.4% of total)

ival-mult: 10.0ms (29.1% of total)

ival-div: 7.0ms (20.4% of total)

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

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

series4.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

8 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite504.0ms (6%)

Memory

-6.4MiB live, 472.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 536×	`accelerator-lowering-fma.f32`
5 536×	`accelerator-lowering-fma.f64`
4 358×	`-lowering-.f32`
4 358×	`-lowering-.f64`
2 218×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	54	36
2	456	32
3	5387	32
0	8107	31

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 498

Calls

Call 1

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

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

simplify394.0ms (4.7%)

Memory

15.1MiB live, 367.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 128×	`accelerator-lowering-fma.f32`
5 128×	`accelerator-lowering-fma.f64`
2 156×	`-lowering-.f32`
2 156×	`-lowering-.f64`
2 154×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1008
1	82	1008
2	205	1008
3	437	1008
4	951	1008
5	2716	1008
6	3996	1008
7	5088	1008
8	5991	1008
9	6617	1008
10	6761	1008
11	7260	1008
12	7346	1008
13	7390	1008
14	7552	1008
0	8086	978

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval148.0ms (1.8%)

Memory: 12.0MiB live, 205.1MiB allocated
Compiler: Compiled 8 640 to 814 computations (90.6% saved)

prune95.0ms (1.1%)

Memory

-0.7MiB live, 163.7MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	873	1	874
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	874	9	883

Accuracy

100.0%

Counts

883 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.5%	(fma.f64 (/.f64 x z) y x)
✓	95.8%	(fma.f64 x (/.f64 y z) x)
✓	37.8%	(/.f64 (*.f64 x z) z)
✓	49.0%	(/.f64 (*.f64 x y) z)
✓	46.7%	(*.f64 (/.f64 y z) x)
✓	45.0%	(*.f64 (/.f64 x z) z)
✓	45.2%	(*.f64 (/.f64 x z) y)
▶	45.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)
✓	51.4%	x

Compiler

Compiled 72 to 45 computations (37.5% saved)

simplify5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

52×	`-lowering-.f32`
52×	`-lowering-.f64`
24×	`associate-r`
18×	`associate-l`
12×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	15	15
2	32	15
3	59	15
4	64	15
0	64	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

-32.2MiB live, 48.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	accuracy	91.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)

Samples

22.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-div: 12.0ms (78.6% of total)

ival-mult: 3.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

3 → 72

Calls

Call 1

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

Calls

18 calls:

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

rewrite427.0ms (5.1%)

Memory

13.8MiB live, 498.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 060×	`accelerator-lowering-fma.f32`
4 060×	`accelerator-lowering-fma.f64`
1 824×	`-lowering-.f32`
1 824×	`-lowering-.f64`
1 704×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	23	11
2	83	11
3	314	11
4	1374	11
5	6968	11
0	8157	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 861

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (/.f64 x z) (.f64 (/.f64 x (.f64 z (*.f64 z z))) #s(literal 0 binary64)))
(+.f64 (/.f64 x z) (.f64 (/.f64 x (.f64 z z)) #s(literal 0 binary64)))
(+.f64 (/.f64 x z) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z (*.f64 z z)))))
(+.f64 (/.f64 x z) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z z))))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 x z))
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (/.f64 x z))
(+.f64 (.f64 (/.f64 x (.f64 z (*.f64 z z))) #s(literal 0 binary64)) (/.f64 x z))
(+.f64 (.f64 (/.f64 x (.f64 z z)) #s(literal 0 binary64)) (/.f64 x z))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z (*.f64 z z)))) (/.f64 x z))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z z))) (/.f64 x z))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z x))))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (.f64 (/.f64 x (.f64 z (*.f64 z z))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (.f64 (/.f64 x (.f64 z z)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z (*.f64 z z)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z z))))
(fma.f64 z (/.f64 x (.f64 z z)) (.f64 (/.f64 x (.f64 z (.f64 z z))) #s(literal 0 binary64)))
(fma.f64 z (/.f64 x (.f64 z z)) (.f64 (/.f64 x (*.f64 z z)) #s(literal 0 binary64)))
(fma.f64 z (/.f64 x (.f64 z z)) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z (.f64 z z)))))
(fma.f64 z (/.f64 x (.f64 z z)) (.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (.f64 (/.f64 x (.f64 z (*.f64 z z))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (.f64 (/.f64 x (.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z (*.f64 z z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x) (.f64 (/.f64 x (.f64 z (*.f64 z z))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x) (.f64 (/.f64 x (.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z (*.f64 z z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x) (.f64 #s(literal 0 binary64) (/.f64 x (.f64 z z))))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 x (.f64 z (*.f64 z z))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 x (.f64 z z)) #s(literal 0 binary64)))
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(fma.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) #s(literal 0 binary64)))
(fma.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))
(fma.f64 (neg.f64 (pow.f64 z #s(literal -3/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 z #s(literal -3/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (pow.f64 z #s(literal -3/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (pow.f64 z #s(literal -3/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z)))))
(neg.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z)))))
(/.f64 z (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) z)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 z))
(/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z)))
(/.f64 (.f64 z z) (.f64 z (*.f64 z z)))
(/.f64 (sqrt.f64 z) (.f64 (.f64 z (*.f64 z z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)))
(/.f64 (sqrt.f64 z) (.f64 (.f64 z z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (neg.f64 (sqrt.f64 z)) (.f64 (.f64 z (*.f64 z z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)))
(/.f64 (neg.f64 (sqrt.f64 z)) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z))))
(/.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 z (sqrt.f64 z)) (.f64 (.f64 z (.f64 z z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 (.f64 z (sqrt.f64 z)) (.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(/.f64 (pow.f64 z #s(literal 3/4 binary64)) (.f64 (.f64 z z) (pow.f64 z #s(literal -1/4 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) z)
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))
(pow.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 z))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 z)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (log.f64 z) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(.f64 z (/.f64 #s(literal 1 binary64) (.f64 z z)))
(.f64 z (/.f64 z (.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -3/4 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 (pow.f64 z #s(literal -1/4 binary64)) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (neg.f64 (pow.f64 z #s(literal -3/4 binary64))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 (pow.f64 z #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 (pow.f64 z #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (.f64 z z)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (.f64 z z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) z)
(*.f64 (pow.f64 z #s(literal -3/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (pow.f64 z #s(literal -3/4 binary64)) (neg.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (pow.f64 z #s(literal -3/4 binary64)) (/.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -3/4 binary64)) (/.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (.f64 z z))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 z) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 z) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 (pow.f64 z #s(literal -3/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)))

simplify21.0ms (0.3%)

Memory

-14.7MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	288
1	13	288
2	15	288
3	16	288
0	16	288

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

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

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

eval103.0ms (1.2%)

Memory: 35.3MiB live, 260.5MiB allocated
Compiler: Compiled 15 314 to 1 827 computations (88.1% saved)

prune135.0ms (1.6%)

Memory

-32.2MiB live, 415.5MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	933	0	933
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	933	9	942

Accuracy

100.0%

Counts

942 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.5%	(fma.f64 (/.f64 x z) y x)
✓	95.8%	(fma.f64 x (/.f64 y z) x)
✓	37.8%	(/.f64 (*.f64 x z) z)
✓	49.0%	(/.f64 (*.f64 x y) z)
✓	46.7%	(*.f64 (/.f64 y z) x)
✓	45.0%	(*.f64 (/.f64 x z) z)
✓	45.2%	(*.f64 (/.f64 x z) y)
✓	45.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) x) y)
✓	51.4%	x

Compiler

Compiled 146 to 71 computations (51.4% saved)

regimes18.0ms (0.2%)

Memory

15.6MiB live, 55.1MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
97.7%	2	`x`
97.7%	2	`y`
95.8%	1	`z`
97.7%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.1%)

Memory

-10.5MiB live, 30.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
97.7%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`
97.6%	2	`y`
95.8%	1	`x`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-2.9MiB live, 36.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	z
3.0ms	x
3.0ms	y
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
74.2%	3	`z`
61.1%	4	`x`
78.2%	3	`y`
78.7%	4	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
2.0ms	y

Results

Accuracy	Segments	Branch
76.2%	4	`(/.f64 (*.f64 x (+.f64 y z)) z)`
76.8%	3	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes2.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

-19.6MiB live, 19.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

2.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`z`
51.4%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
51.4%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch9.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.7496628640451183e-283	1.0379876425929159e-281

Samples

5.0ms

112×

valid

Compiler

Compiled 153 to 96 computations (37.3% saved)

Precisions

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

ival-div: 1.0ms (45.4% of total)

ival-add: 1.0ms (45.4% of total)

ival-mult: 1.0ms (45.4% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.170210013564985e+42	-1.7003250048115102e-19

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch21.0ms (0.3%)

Memory

-7.7MiB live, 73.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.7201799867374805e+110	1.091349587122854e+114
9.0ms	-2.233961501687154e-50	-4.466336962308027e-52

Samples

12.0ms

240×

valid

Compiler

Compiled 223 to 162 computations (27.4% saved)

Precisions

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

ival-div: 2.0ms (35.9% of total)

ival-mult: 2.0ms (35.9% of total)

ival-add: 1.0ms (18% of total)

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

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

bsearch21.0ms (0.2%)

Memory

-8.6MiB live, 70.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.7201799867374805e+110	1.091349587122854e+114
9.0ms	-2.233961501687154e-50	-4.466336962308027e-52

Samples

10.0ms

240×

valid

Compiler

Compiled 223 to 162 computations (27.4% saved)

Precisions

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

ival-div: 2.0ms (41.5% of total)

ival-mult: 2.0ms (41.5% of total)

ival-add: 1.0ms (20.8% of total)

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

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

bsearch22.0ms (0.3%)

Memory

-3.5MiB live, 77.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.7201799867374805e+110	1.091349587122854e+114
10.0ms	-108063869128.8124	-2039856.0656055077

Samples

11.0ms

256×

valid

Compiler

Compiled 237 to 172 computations (27.4% saved)

Precisions

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

ival-div: 2.0ms (35% of total)

ival-mult: 2.0ms (35% of total)

ival-add: 1.0ms (17.5% of total)

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

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

simplify9.0ms (0.1%)

Memory

-12.1MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`if-if-or-not_binary32`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	87
1	49	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 6906207819755239/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112 binary64)) (fma.f64 (/.f64 x z) y x) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -2000000000000000089771425356151833571098624 binary64)) (/.f64 (.f64 x y) z) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 y #s(literal -710857968762761/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 529999999999999975779487602619593550457816806590970417724869667807219800822288083832702424789238786919365607424 binary64)) x (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -4001867083405173/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 480000000000000024663215381307410814928661405187004010569261283577855013032767680536061779693379202569423814656 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -5000000000 binary64)) (.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) x (.f64 (/.f64 x z) y)))
x

Outputs
(if (<=.f64 x #s(literal 6906207819755239/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112 binary64)) (fma.f64 (/.f64 x z) y x) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -2000000000000000089771425356151833571098624 binary64)) (/.f64 (.f64 x y) z) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 z y)) z) #s(literal -2000000000000000089771425356151833571098624 binary64)) (/.f64 (.f64 x y) z) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 y #s(literal -710857968762761/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 529999999999999975779487602619593550457816806590970417724869667807219800822288083832702424789238786919365607424 binary64)) x (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -4001867083405173/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 480000000000000024663215381307410814928661405187004010569261283577855013032767680536061779693379202569423814656 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -4001867083405173/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 480000000000000024663215381307410814928661405187004010569261283577855013032767680536061779693379202569423814656 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -5000000000 binary64)) (.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) x (.f64 (/.f64 x z) y)))
x

soundness1.0s (12%)

Memory

20.7MiB live, 419.9MiB allocated

Rules

6 558×	`accelerator-lowering-fma.f32`
6 558×	`accelerator-lowering-fma.f64`
4 238×	`-lowering-.f32`
4 238×	`-lowering-.f64`
2 912×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	77	37
2	607	35
3	7449	35
0	8321	33
0	50	456
1	171	456
2	482	456
3	1327	456
4	2607	456
5	3103	456
6	3446	456
7	3884	456
8	4074	456
9	4117	456
10	5984	456
11	6760	456
12	6984	456
13	7382	456
14	7394	456
15	7403	456
0	8073	426

Stop Event

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

Compiler

Compiled 214 to 110 computations (48.6% saved)

preprocess102.0ms (1.2%)

Memory: 11.6MiB live, 329.5MiB allocated
Compiler: Compiled 274 to 120 computations (56.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze41.0ms (0.5%)

sample944.0ms (11.2%)

preprocess364.0ms (4.3%)

explain97.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify322.0ms (3.8%)

localize42.0ms (0.5%)

series7.0ms (0.1%)

rewrite483.0ms (5.7%)

simplify299.0ms (3.5%)

eval131.0ms (1.6%)

prune79.0ms (0.9%)

simplify236.0ms (2.8%)

localize57.0ms (0.7%)

series25.0ms (0.3%)

rewrite452.0ms (5.4%)

simplify697.0ms (8.3%)

eval278.0ms (3.3%)

prune269.0ms (3.2%)

simplify415.0ms (4.9%)

localize59.0ms (0.7%)

series4.0ms (0%)

rewrite504.0ms (6%)

simplify394.0ms (4.7%)

eval148.0ms (1.8%)

prune95.0ms (1.1%)

simplify5.0ms (0.1%)

localize50.0ms (0.6%)

series1.0ms (0%)

rewrite427.0ms (5.1%)

simplify21.0ms (0.3%)

eval103.0ms (1.2%)

prune135.0ms (1.6%)

regimes18.0ms (0.2%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch21.0ms (0.3%)

bsearch21.0ms (0.2%)

bsearch22.0ms (0.3%)

simplify9.0ms (0.1%)

soundness1.0s (12%)

preprocess102.0ms (1.2%)

end0.0ms (0%)

Profiling