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

analyze35.0ms (0.6%)

Memory

16.6MiB live, 93.5MiB 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)

sample793.0ms (12.9%)

Memory

-3.5MiB live, 1 073.2MiB allocated

Samples

506.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult: 89.0ms (39.4% of total)

ival-add: 73.0ms (32.3% of total)

ival-div: 55.0ms (24.3% of total)

ival-true: 5.0ms (2.2% of total)

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

Bogosity

preprocess316.0ms (5.1%)

Memory

16.2MiB live, 339.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 786×	`lower-*.f32`
4 784×	`lower-*.f64`
2 414×	`lower-fma.f64`
2 414×	`lower-fma.f32`
1 634×	`associate-/r/`

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
0	9	7
1	19	7
2	24	7
3	25	7
4	33	7
5	35	7
6	39	7
7	46	7
8	51	7
9	160	7
10	553	7
11	2370	7
12	3773	7
13	3925	7
14	4010	7
15	4111	7
16	4246	7
17	4406	7
18	6021	7
19	7046	7
0	8041	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

explain112.0ms (1.8%)

Memory

-5.6MiB live, 113.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
35	-	1	(1.5838005117370596e-184 -7.191494431947759e-169 -2.0829054501289567e-137)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	27	0
↳	`(*.f64 x (+.f64 y z))`	overflow	49
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	7	0
↳	`(*.f64 x (+.f64 y z))`	underflow	7

Confusion

	Predicted +	Predicted -
+	34	1
-	0	221

Precision

1.0

Recall

0.9714285714285714

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	1
-	0	0	221

Precision?

1.0

Recall?

0.9714285714285714

Freqs

test

number	freq
0	222
1	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add: 40.0ms (84.9% of total)

ival-div: 3.0ms (6.4% of total)

ival-mult: 3.0ms (6.4% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.1%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify205.0ms (3.3%)

Memory

0.5MiB live, 268.0MiB 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

4 786×	`lower-*.f32`
4 784×	`lower-*.f64`
2 414×	`lower-fma.f64`
2 414×	`lower-fma.f32`
1 634×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	24	18
3	25	18
4	33	18
5	35	18
6	39	18
7	46	18
8	51	18
9	160	18
10	553	18
11	2370	18
12	3773	18
13	3925	18
14	4010	18
15	4111	18
16	4246	18
17	4406	18
18	6021	18
19	7046	18
0	8041	17

Stop Event

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

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

-4.9MiB live, 38.3MiB 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	87.1%	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

11.0ms

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 (40.5% of total)

ival-mult: 2.0ms (40.5% 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

12.7MiB live, 12.7MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (*.f64 x (+.f64 y z))>
#<alt (+.f64 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	z	@	-inf	(/ (* x (+ y z)) z)
1.0ms	x	@	inf	(/ (* x (+ y z)) z)

rewrite385.0ms (6.2%)

Memory

-2.5MiB live, 566.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 302×	`lower-fma.f64`
4 302×	`lower-fma.f32`
4 234×	`lower-/.f32`
4 232×	`lower-/.f64`
3 826×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15

Stop Event

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

Counts

3 → 379

Calls

Call 1

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

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

simplify247.0ms (4%)

Memory

-23.6MiB live, 305.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2 456×	`lower-fma.f64`
2 456×	`lower-fma.f32`
2 212×	`lower-*.f64`
2 212×	`lower-*.f32`
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 → 87

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)

eval173.0ms (2.8%)

Memory: 6.2MiB live, 120.3MiB allocated
Compiler: Compiled 10 478 to 1 294 computations (87.7% saved)

prune82.0ms (1.3%)

Memory

10.9MiB live, 126.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	460	6	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	461	6	467

Accuracy

100.0%

Counts

467 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(fma.f64 x (/.f64 y z) x)
▶	37.4%	(/.f64 (*.f64 x z) z)
▶	52.1%	(/.f64 (*.f64 x y) z)
▶	96.9%	(/.f64 x (/.f64 z (+.f64 y z)))
	87.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (+.f64 y z))))
▶	82.2%	(*.f64 (/.f64 x z) (+.f64 y z))

Compiler

Compiled 114 to 70 computations (38.6% saved)

simplify252.0ms (4.1%)

Memory

10.2MiB live, 487.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(/.f64 z (+.f64 y z))
✓	cost-diff	512	(/.f64 x (/.f64 z (+.f64 y z)))
✓	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

9 632×	`lower-fma.f32`
9 630×	`lower-fma.f64`
3 868×	`lower-*.f32`
3 862×	`lower-*.f64`
2 004×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
0	26	61
1	42	61
2	58	61
3	64	61
4	181	61
5	633	61
6	2755	61
7	3811	61
8	4694	61
9	4775	61
10	4860	61
11	4965	61
12	5087	61
13	6853	61
0	8167	61

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (0.8%)

Memory

-31.9MiB live, 124.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(/.f64 z (+.f64 y z))
✓	accuracy	96.9%	(/.f64 x (/.f64 z (+.f64 y z)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	82.2%	(*.f64 (/.f64 x z) (+.f64 y z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	80.9%	(/.f64 (*.f64 x z) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	93.8%	(/.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	96.9%	(fma.f64 x (/.f64 y z) x)

Samples

33.0ms

256×

valid

Compiler

Compiled 70 to 17 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 11.0ms (55.2% of total)

ival-mult: 6.0ms (30.1% of total)

ival-add: 2.0ms (10% of total)

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

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

series16.0ms (0.3%)

Memory

1.7MiB live, 39.3MiB allocated

Counts

11 → 312

Calls

Call 1

Inputs
#<alt (fma.f64 x (/.f64 y z) x)>
#<alt (/.f64 y z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>
#<alt (/.f64 (*.f64 x z) z)>
#<alt (*.f64 x z)>
#<alt (*.f64 (/.f64 x z) (+.f64 y z))>
#<alt (/.f64 x z)>
#<alt (+.f64 y z)>
#<alt (/.f64 x (/.f64 z (+.f64 y z)))>
#<alt (/.f64 z (+.f64 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)))>
#<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 (/ z y)>
#<alt (* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))>
#<alt (* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))>
#<alt (/ z y)>
#<alt (/ (+ z (* -1 (/ (pow z 2) y))) y)>
#<alt (/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)>
#<alt (/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)>
#<alt (/ z y)>
#<alt (* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))>

Calls

78 calls:

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

rewrite349.0ms (5.7%)

Memory

49.5MiB live, 598.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 706×	`lower-fma.f32`
6 704×	`lower-fma.f64`
4 872×	`lower-*.f32`
4 866×	`lower-*.f64`
3 540×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	50
0	26	48
1	102	46
2	717	44
0	8480	44

Stop Event

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

Counts

11 → 1 490

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 y (/.f64 x z)) x)
(+.f64 (.f64 y (/.f64 x z)) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(+.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (-.f64 (.f64 y (/.f64 x z)) x) (.f64 z z))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (/.f64 x z)) x))))
(+.f64 (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)) (.f64 y (/.f64 x z)))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x (+.f64 y z)))) #s(literal -1 binary64)))
(-.f64 x (/.f64 (*.f64 y (neg.f64 x)) z))
(-.f64 (*.f64 y (/.f64 x z)) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 y z) x)))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (-.f64 (.f64 y (/.f64 x z)) x) (.f64 z z))) (/.f64 (.f64 x x) (-.f64 (.f64 y (/.f64 x 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 #s(literal 0 binary64) (/.f64 z (-.f64 (neg.f64 z) y))) (neg.f64 (fma.f64 x (/.f64 y z) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (/.f64 x z)))) (/.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (-.f64 x (*.f64 y (/.f64 x z)))))
(fma.f64 x (/.f64 y z) x)
(fma.f64 x (/.f64 y z) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 x z)))
(fma.f64 x (.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (.f64 y (/.f64 x z)))
(fma.f64 x (/.f64 (/.f64 (.f64 (.f64 y (/.f64 x z)) y) z) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (/.f64 x z)) x))))
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 x z) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 z (/.f64 x z) (*.f64 y (/.f64 x z)))
(fma.f64 z (/.f64 (*.f64 y (/.f64 x z)) z) x)
(fma.f64 z (/.f64 (.f64 y (/.f64 x z)) z) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 y z) (/.f64 (.f64 x (.f64 y (/.f64 x z))) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (/.f64 x z)) x))))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 x y) (/.f64 (/.f64 (.f64 y (/.f64 x z)) z) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (/.f64 x z)) x))))
(fma.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z) (.f64 y (/.f64 x z)))
(fma.f64 (*.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z y)) x)
(fma.f64 (.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z y)) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 x z) y x)
(fma.f64 (/.f64 x z) y (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 x z) z (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 x z) (/.f64 z (/.f64 z y)) x)
(fma.f64 (/.f64 x z) (/.f64 z (/.f64 z y)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64) x)
(fma.f64 (.f64 y (/.f64 x z)) #s(literal 1 binary64) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 y (/.f64 x z)) (/.f64 (.f64 y (/.f64 x z)) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (/.f64 x z)) x))))
(fma.f64 (.f64 z (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) (.f64 y (/.f64 x z)))
(fma.f64 (*.f64 z (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z y)) x)
(fma.f64 (.f64 z (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z y)) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (neg.f64 z) (/.f64 x (neg.f64 z)) (*.f64 y (/.f64 x z)))
(fma.f64 (neg.f64 x) (/.f64 y (neg.f64 z)) x)
(fma.f64 (neg.f64 x) (/.f64 y (neg.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (neg.f64 x) (/.f64 z (neg.f64 z)) (*.f64 y (/.f64 x 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) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) z) z) (.f64 y (/.f64 x z)))
(fma.f64 (neg.f64 x) (.f64 z (/.f64 #s(literal -1 binary64) z)) (.f64 y (/.f64 x z)))
(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) y) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 y (neg.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) x)
(fma.f64 (.f64 y (neg.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (neg.f64 y) (/.f64 x (neg.f64 z)) x)
(fma.f64 (neg.f64 y) (/.f64 x (neg.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) x) x)
(fma.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) z) x) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (/.f64 x z)) x))))
(fma.f64 (.f64 x x) (/.f64 (/.f64 (.f64 (/.f64 y z) y) z) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (/.f64 x z)) x))))
(fma.f64 (.f64 x (.f64 y (/.f64 x z))) (/.f64 (/.f64 y z) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (/.f64 x z)) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) x)
(fma.f64 #s(literal 1 binary64) (.f64 y (/.f64 x z)) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x z) (.f64 y (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal -1 binary64)) (.f64 y (/.f64 x 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 y)) #s(literal -1 binary64)) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (*.f64 y (/.f64 x 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 x (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(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 y (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x z) (/.f64 z y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x z) (/.f64 z y)) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y (/.f64 x z)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 x)) z) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (neg.f64 x)) z) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 x (.f64 y (.f64 x y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (/.f64 x z)) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z (neg.f64 x)) (.f64 y (/.f64 x z)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y (neg.f64 x)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 y (neg.f64 x)) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 (.f64 (/.f64 y z) y) z) (/.f64 (.f64 x x) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (/.f64 x 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 (/.f64 #s(literal 1 binary64) z) z) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 x (neg.f64 z)) (neg.f64 z) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 x (neg.f64 z)) (neg.f64 y) x)
(fma.f64 (/.f64 x (neg.f64 z)) (neg.f64 y) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 y (neg.f64 z)) (neg.f64 x) x)
(fma.f64 (/.f64 y (neg.f64 z)) (neg.f64 x) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 y (.f64 x (.f64 y (/.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (/.f64 x z)) x))))
(fma.f64 (/.f64 (.f64 (.f64 y (/.f64 x z)) y) z) (/.f64 x (-.f64 (.f64 y (/.f64 x z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y (/.f64 x z)) x))))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x (neg.f64 z)) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 (/.f64 x z) z) (/.f64 z (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (/.f64 x z) z) (/.f64 z (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (neg.f64 z)) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (neg.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) z) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (neg.f64 z)) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (neg.f64 z)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 z (neg.f64 z)) (neg.f64 x) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(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 y (/.f64 x z)))
(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 z (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (.f64 x y)) #s(literal -1/2 binary64)) (*.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 z (neg.f64 x))) (/.f64 #s(literal -1 binary64) z) (*.f64 y (/.f64 x z)))
(fma.f64 (/.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (fma.f64 (.f64 x y) (/.f64 (.f64 x y) (.f64 z z)) (.f64 x (neg.f64 x)))) (fma.f64 x (/.f64 y z) x) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (/.f64 x z)) x))))
(fma.f64 (/.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (fma.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (neg.f64 (.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 (.f64 x x) (-.f64 (.f64 y (/.f64 x z)) x))))
(neg.f64 (neg.f64 (fma.f64 x (/.f64 y z) x)))
(neg.f64 (*.f64 (+.f64 y z) (/.f64 x (neg.f64 z))))
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(.f64 (/.f64 z (/.f64 z (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (/.f64 x z) (-.f64 y z)))
(.f64 (/.f64 (.f64 x z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (+.f64 y z))))
(.f64 (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 y z))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(.f64 (/.f64 (.f64 x z) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y y (.f64 z (-.f64 z y)))))
(.f64 (/.f64 (.f64 x z) (/.f64 z (*.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y z)))
(*.f64 (/.f64 (/.f64 x z) (neg.f64 z)) (/.f64 z (/.f64 #s(literal -1 binary64) (+.f64 y z))))
(*.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) (+.f64 y z))
(*.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 z (/.f64 z (+.f64 y z))))
(.f64 (/.f64 (/.f64 x z) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (/.f64 z (fma.f64 y y (*.f64 z (-.f64 z y)))))
(.f64 (/.f64 (/.f64 x z) (/.f64 z (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 z (-.f64 y z)))
(.f64 (/.f64 (.f64 z (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z (+.f64 y z))))
(.f64 (/.f64 (.f64 z (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 y z))) (/.f64 (/.f64 #s(literal -1 binary64) z) z))
(.f64 (/.f64 (.f64 z (neg.f64 x)) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 y y (.f64 z (-.f64 z y)))))
(.f64 (/.f64 (.f64 z (neg.f64 x)) (/.f64 z (*.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (/.f64 x (fma.f64 y y (*.f64 z (-.f64 z y)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 x (-.f64 y z)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 z)) (/.f64 (.f64 x z) (/.f64 #s(literal -1 binary64) (+.f64 y z))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (/.f64 (.f64 x z) (fma.f64 y y (.f64 z (-.f64 z y)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (*.f64 x z) (-.f64 y z)))
(*.f64 (/.f64 (+.f64 y z) #s(literal -1 binary64)) (/.f64 x (neg.f64 z)))
(.f64 (pow.f64 (/.f64 z (.f64 x (+.f64 y z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 x (+.f64 y z))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 z))) (-.f64 (neg.f64 z) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (*.f64 x (+.f64 y z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 x (neg.f64 z)) #s(literal -1 binary64)) (+.f64 y z))
(.f64 (/.f64 (fma.f64 (.f64 x y) (/.f64 (.f64 x y) (.f64 z z)) (.f64 x (neg.f64 x))) (fma.f64 (.f64 x y) (/.f64 (.f64 x y) (.f64 z z)) (*.f64 x (neg.f64 x)))) (fma.f64 x (/.f64 y z) x))
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (-.f64 (neg.f64 z) y))
(.f64 (/.f64 (.f64 (fma.f64 y y (.f64 z (-.f64 z y))) (fma.f64 x (/.f64 y z) x)) (fma.f64 y (.f64 (.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 (.f64 (fma.f64 y y (.f64 z (-.f64 z y))) (fma.f64 x (/.f64 y z) x)) (.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 (fma.f64 x (/.f64 y z) x) (-.f64 y z)) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
(.f64 (/.f64 (.f64 (fma.f64 x (/.f64 y z) x) (-.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))))
(.f64 (/.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 (.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 (.f64 y (/.f64 x z)))) (.f64 (.f64 x (-.f64 x (.f64 y (/.f64 x z)))) (.f64 x (-.f64 x (.f64 y (/.f64 x z)))))))) (fma.f64 (.f64 x (-.f64 x (.f64 y (/.f64 x z)))) (-.f64 (.f64 x (-.f64 x (.f64 y (/.f64 x z)))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (.f64 x (.f64 y (.f64 x y)))) (*.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 (fma.f64 (.f64 y (/.f64 x z)) (-.f64 (.f64 y (/.f64 x z)) x) (.f64 x x)) (-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (.f64 x (-.f64 x (.f64 y (/.f64 x z))))))) (-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (.f64 x (-.f64 x (.f64 y (/.f64 x z))))))
(.f64 (/.f64 (fma.f64 (.f64 x y) (/.f64 (.f64 x y) (.f64 z z)) (.f64 x (neg.f64 x))) (fma.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (neg.f64 (.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))))
(+.f64 (.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 y y)) (.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 z (-.f64 z y))))
(+.f64 (.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 z (-.f64 z y))) (.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 y y)))
(+.f64 (.f64 (/.f64 z (.f64 (+.f64 y z) (-.f64 y z))) y) (.f64 (/.f64 z (.f64 (+.f64 y z) (-.f64 y z))) (neg.f64 z)))
(+.f64 (.f64 (.f64 y y) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (.f64 (.f64 z (-.f64 z y)) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))))
(+.f64 (.f64 (.f64 z (-.f64 z y)) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (.f64 (.f64 y y) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))))
(+.f64 (.f64 y (/.f64 z (.f64 (+.f64 y z) (-.f64 y z)))) (.f64 (neg.f64 z) (/.f64 z (.f64 (+.f64 y z) (-.f64 y z)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z (-.f64 (neg.f64 z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 z) y)) (/.f64 z (-.f64 (neg.f64 z) y)))
(fma.f64 y (/.f64 z (.f64 (+.f64 y z) (-.f64 y z))) (.f64 (neg.f64 z) (/.f64 z (*.f64 (+.f64 y z) (-.f64 y z)))))
(fma.f64 (.f64 y y) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 (.f64 z (-.f64 z y)) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y))))))
(fma.f64 (.f64 z (-.f64 z y)) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 y y) (.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (*.f64 z (-.f64 z y))))
(fma.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 z (-.f64 z y)) (.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (*.f64 y y)))
(fma.f64 (/.f64 z (.f64 (+.f64 y z) (-.f64 y z))) y (.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 y z))) (neg.f64 z)))
(neg.f64 (/.f64 z (-.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 (/.f64 z (-.f64 (neg.f64 z) y)) #s(literal 1 binary64)))
(/.f64 z (+.f64 y z))
(/.f64 (/.f64 z (+.f64 y z)) #s(literal 1 binary64))
(/.f64 (neg.f64 z) (-.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) y)))
(/.f64 (/.f64 z (-.f64 (neg.f64 z) y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (.f64 z (fma.f64 y y (.f64 z (-.f64 z y)))) (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y))))
(/.f64 (.f64 z (-.f64 y z)) (.f64 (+.f64 y z) (-.f64 y z)))
(/.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 z (-.f64 z y)))))
(/.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (-.f64 (neg.f64 z) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (-.f64 (neg.f64 z) y))
(/.f64 (.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 (.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 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.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 z (.f64 (+.f64 y z) (-.f64 y z))) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
(/.f64 (.f64 (/.f64 z (.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))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (-.f64 (neg.f64 z) y))
(pow.f64 (/.f64 z (+.f64 y z)) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) #s(literal 1 binary64)))
(*.f64 (/.f64 z (+.f64 y z)) #s(literal 1 binary64))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (+.f64 y z)))
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) #s(literal 1 binary64)))
(.f64 (fma.f64 y y (.f64 z (-.f64 z y))) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y)))))
(*.f64 #s(literal 1 binary64) (/.f64 z (+.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(.f64 (-.f64 y z) (/.f64 z (.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 (neg.f64 z) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) (neg.f64 z))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (.f64 z (fma.f64 y y (.f64 z (-.f64 z y)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 y z))) (*.f64 z (-.f64 y z)))
(.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (fma.f64 y y (*.f64 z (-.f64 z y))))
(.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (-.f64 z y))))))
(.f64 (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 (fma.f64 y y (*.f64 z (-.f64 z y))) #s(literal 1 binary64)))
(.f64 (/.f64 z (.f64 (+.f64 y z) (-.f64 y z))) (-.f64 y z))
(.f64 (/.f64 z (.f64 (+.f64 y z) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))))
(.f64 (/.f64 z (.f64 (+.f64 y z) (-.f64 y z))) (/.f64 (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y z)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (+.f64 y z)))
(*.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (fma.f64 y y (.f64 z (-.f64 z y))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 y z) (-.f64 y z)))) (-.f64 y z))
(.f64 (/.f64 (neg.f64 z) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y y (*.f64 z (-.f64 z y)))))
(.f64 (/.f64 (neg.f64 z) (.f64 (+.f64 y z) (-.f64 y z))) (+.f64 (neg.f64 y) z))
(.f64 (/.f64 z (neg.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y y (*.f64 z (-.f64 z y)))))
(.f64 (/.f64 z (.f64 (+.f64 y z) (+.f64 (neg.f64 y) z))) (+.f64 (neg.f64 y) z))
(.f64 (/.f64 z (.f64 (+.f64 y z) (-.f64 z y))) (-.f64 z y))

simplify388.0ms (6.3%)

Memory

-44.5MiB live, 504.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 496×	`lower-fma.f64`
11 496×	`lower-fma.f32`
3 706×	`lower-*.f64`
3 706×	`lower-*.f32`
2 580×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1545
1	437	1524
2	1117	1494
3	4168	1492
0	8526	1389

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 273

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)
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(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
x
x
x
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x
x
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(* x z)
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(* 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)))
(/ (* 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)))))
(/ z y)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y z)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))

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
(+ 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)
(/ 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)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
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)) 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 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)
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)
(/ (* 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 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)
(/ z y)
(/.f64 z y)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 z (/.f64 (*.f64 z z) y)) y)
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 (/.f64 z y) #s(literal -1 binary64))) (*.f64 z z) (/.f64 z y))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 z (.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (*.f64 z (neg.f64 z)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 z y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) z) y) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) z) y) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) z) y) z))
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (/.f64 (*.f64 z z) y)) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/.f64 (fma.f64 z (/.f64 (-.f64 (/.f64 (*.f64 z z) y) z) y) z) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (fma.f64 z (*.f64 z (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) y)) y)) y)
(/ z y)
(/.f64 z y)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(/.f64 (-.f64 z (/.f64 (*.f64 z z) y)) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(/.f64 (fma.f64 z (/.f64 (-.f64 (/.f64 (*.f64 z z) y) z) y) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (fma.f64 z (*.f64 z (neg.f64 z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) y)) y)) y)

eval244.0ms (4%)

Memory: 14.0MiB live, 422.9MiB allocated
Compiler: Compiled 31 931 to 1 776 computations (94.4% saved)

prune131.0ms (2.1%)

Memory

8.3MiB live, 303.1MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 855	7	1 862
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 859	9	1 868

Accuracy

100.0%

Counts

1 868 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(fma.f64 (/.f64 x z) y x)
✓	96.9%	(fma.f64 x (/.f64 y z) x)
✓	52.1%	(/.f64 (*.f64 x y) z)
	50.0%	(/.f64 y (/.f64 z x))
▶	52.0%	(/.f64 x (/.f64 z y))
	52.1%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
▶	52.0%	(*.f64 (/.f64 y z) x)
▶	49.9%	(*.f64 (/.f64 x z) y)
▶	46.8%	x

Compiler

Compiled 127 to 80 computations (37% saved)

simplify9.0ms (0.2%)

Memory

-20.3MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

64×	`lower-*.f32`
60×	`lower-*.f64`
38×	`associate-l`
28×	`lower-fma.f32`
26×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
0	17	46
1	24	46
2	24	46
3	27	46
4	31	46
5	37	46
6	37	46
7	61	46
8	78	46
9	100	46
10	100	46
0	100	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.7%)

Memory

11.4MiB live, 89.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	92.9%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	93.4%	(*.f64 (/.f64 y z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	91.5%	(*.f64 (/.f64 x z) y)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	93.3%	(fma.f64 (/.f64 x z) y x)

Samples

30.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

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

ival-div: 7.0ms (58.2% of total)

ival-mult: 4.0ms (33.2% of total)

ival-add: 1.0ms (8.3% of total)

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

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

series4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

7 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite311.0ms (5.1%)

Memory

-28.1MiB live, 577.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 258×	`lower-fma.f32`
7 256×	`lower-fma.f64`
5 402×	`lower-*.f32`
5 398×	`lower-*.f64`
2 138×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
0	17	30
1	57	30
2	434	30
3	5191	30
0	9195	30

Stop Event

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

Counts

7 → 435

Calls

Call 1

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

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 (.f64 x x) (-.f64 (.f64 x (/.f64 y z)) 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 (*.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (-.f64 (.f64 x (/.f64 y z)) x) (.f64 z z))) (/.f64 (.f64 x x) (-.f64 (.f64 x (/.f64 y 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 (.f64 x (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) x))))
(fma.f64 (/.f64 x z) y x)
(fma.f64 (/.f64 x z) (/.f64 (.f64 x (.f64 (/.f64 y z) y)) (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) x))))
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 (.f64 y (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x 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 (.f64 x x) (-.f64 (*.f64 x (/.f64 y 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 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) 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 (neg.f64 x) (/.f64 y (neg.f64 z)) x)
(fma.f64 (neg.f64 x) (*.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) 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 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) x))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x 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 (.f64 x 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 (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) x)
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) 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 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 y (neg.f64 z)) (neg.f64 x) 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 (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 (.f64 x x) (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) x))))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 (.f64 y y) (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) x))))
(fma.f64 (.f64 y y) (/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) x))))
(fma.f64 (/.f64 x (neg.f64 z)) (neg.f64 y) x)
(fma.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (/.f64 x (neg.f64 z)) (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x (.f64 (/.f64 y z) y)) (/.f64 (/.f64 x z) (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) x))))
(fma.f64 (.f64 x (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 x (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) x))))
(fma.f64 (.f64 y (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 y (-.f64 (.f64 x (/.f64 y z)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 x (/.f64 y z)) x))))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y (neg.f64 z)) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (neg.f64 z)) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (neg.f64 z)) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (neg.f64 z)) x)
(fma.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) y x)
(fma.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)) x)
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simplify302.0ms (4.9%)

Memory

10.1MiB live, 375.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 936×	`lower-fma.f64`
8 936×	`lower-fma.f32`
2 440×	`lower-+.f64`
2 440×	`lower-+.f32`
1 952×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	984
1	82	984
2	205	984
3	434	984
4	943	984
5	2506	984
6	3633	984
7	4437	984
8	4910	984
9	5570	984
10	5961	984
11	6981	984
0	8345	954

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 213

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

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 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 y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)

eval72.0ms (1.2%)

Memory: 2.7MiB live, 158.2MiB allocated
Compiler: Compiled 7 189 to 636 computations (91.2% saved)

prune43.0ms (0.7%)

Memory

20.5MiB live, 96.4MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	695	0	695
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	695	9	704

Accuracy

100.0%

Counts

704 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.3%	(fma.f64 (/.f64 x z) y x)
✓	96.9%	(fma.f64 x (/.f64 y z) x)
✓	52.1%	(/.f64 (*.f64 x y) z)
▶	50.0%	(/.f64 y (/.f64 z x))
✓	52.0%	(/.f64 x (/.f64 z y))
▶	52.1%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
✓	52.0%	(*.f64 (/.f64 y z) x)
✓	49.9%	(*.f64 (/.f64 x z) y)
✓	46.8%	x

Compiler

Compiled 72 to 45 computations (37.5% saved)

simplify7.0ms (0.1%)

Memory

-36.2MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 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 x y)
✓	cost-diff	0	(/.f64 z (*.f64 x y))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))

Rules

52×	`lower-*.f32`
50×	`lower-*.f64`
36×	`lower-/.f32`
28×	`lower-/.f64`
26×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	30
0	14	32
1	22	32
2	35	28
3	55	28
4	83	28
5	87	28
0	87	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.4%)

Memory

7.5MiB live, 45.9MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	91.6%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
✓	accuracy	94.1%	(/.f64 z (*.f64 x y))

Samples

17.0ms

256×

valid

Compiler

Compiled 32 to 11 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 6.0ms (71.2% of total)

ival-mult: 2.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

39 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/ z (* x y))
0.0ms	z	@	-inf	(/ z (* x y))
0.0ms	x	@	0	(/ z (* x y))
0.0ms	z	@	-inf	(/ z x)
0.0ms	y	@	0	(/ z (* x y))

rewrite238.0ms (3.9%)

Memory

-14.0MiB live, 315.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 032×	`lower-*.f32`
3 030×	`lower-*.f64`
2 256×	`lower-fma.f64`
2 256×	`lower-fma.f32`
1 782×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	14	21
1	49	21
2	223	21
3	1116	21
4	6081	21
0	8433	21

Stop Event

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

Counts

5 → 611

Calls

Call 1

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

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

simplify11.0ms (0.2%)

Memory

22.9MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`lower-/.f32`
16×	`lower-/.f64`
12×	`lower-*.f64`
12×	`lower-*.f32`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	684
1	11	684
2	16	684
3	17	684
0	17	684

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

Calls

Call 1

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

eval86.0ms (1.4%)

Memory: -21.6MiB live, 204.7MiB allocated
Compiler: Compiled 9 133 to 1 338 computations (85.3% saved)

prune80.0ms (1.3%)

Memory

-4.3MiB live, 156.9MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	767	0	767
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	767	9	776

Accuracy

100.0%

Counts

776 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.3%	(fma.f64 (/.f64 x z) y x)
✓	96.9%	(fma.f64 x (/.f64 y z) x)
✓	52.1%	(/.f64 (*.f64 x y) z)
✓	50.0%	(/.f64 y (/.f64 z x))
✓	52.0%	(/.f64 x (/.f64 z y))
✓	52.1%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
✓	52.0%	(*.f64 (/.f64 y z) x)
✓	49.9%	(*.f64 (/.f64 x z) y)
✓	46.8%	x

Compiler

Compiled 155 to 73 computations (52.9% saved)

regimes20.0ms (0.3%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`y`
96.9%	1	`z`
96.9%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes29.0ms (0.5%)

Memory

-24.7MiB live, 16.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

21.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
58.6%	4	`x`
79.3%	3	`y`
76.7%	3	`z`
72.7%	4	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
46.8%	1	`x`
46.8%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
46.8%	1	`z`
46.8%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch21.0ms (0.3%)

Memory

-4.8MiB live, 33.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2610074465929525e-48	1.3945596991392036e-43
7.0ms	-1.3981257160324055e-124	-1.8269229758274133e-125

Samples

11.0ms

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: 3.0ms (51.5% of total)

ival-add: 1.0ms (17.2% of total)

ival-mult: 1.0ms (17.2% of total)

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

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

bsearch3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.2610074465929525e-48	1.3945596991392036e-43
0.0ms	-1.3981257160324055e-124	-1.8269229758274133e-125

Samples

1.0ms

32×

valid

Compiler

Compiled 223 to 162 computations (27.4% saved)

Precisions

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

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

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

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

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

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

bsearch11.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2610074465929525e-48	1.3945596991392036e-43
9.0ms	-2.1023033142289547e-14	-3.977943025220225e-17

Samples

5.0ms

128×

valid

Compiler

Compiled 251 to 182 computations (27.5% saved)

Precisions

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

ival-div: 1.0ms (42.1% of total)

ival-add: 1.0ms (42.1% of total)

ival-mult: 1.0ms (42.1% of total)

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

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

simplify8.0ms (0.1%)

Memory

-26.3MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	64
1	26	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (/.f64 y z) x)
(if (<=.f64 y #s(literal -6478237958419417/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 7713302612443153/51422017416287688817342786954917203280710495801049370729644032 binary64)) x (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -6478237958419417/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -1663791412799551/79228162514264337593543950336 binary64)) (.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) x (.f64 (/.f64 x z) y)))
x

Outputs
(fma.f64 x (/.f64 y z) x)
(if (<=.f64 y #s(literal -6478237958419417/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 7713302612443153/51422017416287688817342786954917203280710495801049370729644032 binary64)) x (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -6478237958419417/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -6478237958419417/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) x (.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -1663791412799551/79228162514264337593543950336 binary64)) (.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -1663791412799551/79228162514264337593543950336 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) x (.f64 y (/.f64 x z))))
x

soundness958.0ms (15.5%)

Memory

-7.6MiB live, 324.2MiB allocated

Rules

6 706×	`lower-fma.f32`
6 704×	`lower-fma.f64`
4 872×	`lower-*.f32`
4 866×	`lower-*.f64`
3 540×	`lower-/.f32`

Iterations

Useful iterations: 2 (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
0	14	50
0	26	48
1	102	46
2	717	44
0	8480	44

Stop Event

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

Compiler

Compiled 180 to 95 computations (47.2% saved)

preprocess59.0ms (1%)

Memory: -3.4MiB live, 112.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 192 to 80 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	46
0	17	46
1	24	46
2	24	46
3	27	46
4	31	46
5	37	46
6	37	46
7	61	46
8	78	46
9	100	46
10	100	46
0	100	46

Iter	Nodes	Cost
0	10	46
0	17	46
1	24	46
2	24	46
3	27	46
4	31	46
5	37	46
6	37	46
7	61	46
8	78	46
9	100	46
10	100	46
0	100	46

analyze35.0ms (0.6%)

sample793.0ms (12.9%)

preprocess316.0ms (5.1%)

explain112.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify205.0ms (3.3%)

localize21.0ms (0.3%)

series7.0ms (0.1%)

rewrite385.0ms (6.2%)

simplify247.0ms (4%)

eval173.0ms (2.8%)

prune82.0ms (1.3%)

simplify252.0ms (4.1%)

localize51.0ms (0.8%)

series16.0ms (0.3%)

rewrite349.0ms (5.7%)

simplify388.0ms (6.3%)

eval244.0ms (4%)

prune131.0ms (2.1%)

simplify9.0ms (0.2%)

localize42.0ms (0.7%)

series4.0ms (0.1%)

rewrite311.0ms (5.1%)

simplify302.0ms (4.9%)

eval72.0ms (1.2%)

prune43.0ms (0.7%)

simplify7.0ms (0.1%)

localize26.0ms (0.4%)

series8.0ms (0.1%)

rewrite238.0ms (3.9%)

simplify11.0ms (0.2%)

eval86.0ms (1.4%)

prune80.0ms (1.3%)

regimes20.0ms (0.3%)

regimes29.0ms (0.5%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch21.0ms (0.3%)

bsearch3.0ms (0.1%)

bsearch11.0ms (0.2%)

simplify8.0ms (0.1%)

soundness958.0ms (15.5%)

preprocess59.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	46
0	17	46
1	24	46
2	24	46
3	27	46
4	31	46
5	37	46
6	37	46
7	61	46
8	78	46
9	100	46
10	100	46
0	100	46