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

analyze36.0ms (0.4%)

Memory

36.5MiB live, 71.4MiB 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)

sample632.0ms (7.2%)

Memory

7.9MiB live, 960.9MiB allocated

Samples

379.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-div: 58.0ms (34.3% of total)

ival-mult: 53.0ms (31.4% of total)

ival-add: 49.0ms (29% of total)

ival-true: 6.0ms (3.6% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess327.0ms (3.7%)

Memory

-16.8MiB live, 271.0MiB 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)

explain60.0ms (0.7%)

Memory

9.6MiB live, 124.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
39	-	4	(2.129579729592053e-92 -6.7795697658664595e-224 1.8255778288394815e-277)	`(/.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	30	0
↳	`(*.f64 x (+.f64 y z))`	overflow	53
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	5	0
↳	`(*.f64 x (+.f64 y z))`	underflow	5

Confusion

	Predicted +	Predicted -
+	35	4
-	0	217

Precision

1.0

Recall

0.8974358974358975

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	4
-	0	0	217

Precision?

1.0

Recall?

0.8974358974358975

Freqs

test

number	freq
0	221
1	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

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

ival-div: 4.0ms (39% of total)

ival-add: 3.0ms (29.3% of total)

ival-mult: 3.0ms (29.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.2%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify205.0ms (2.3%)

Memory

-1.0MiB live, 235.0MiB 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

localize19.0ms (0.2%)

Memory

0.6MiB live, 39.4MiB 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	86.2%	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

13.0ms

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% of total)

ival-mult: 2.0ms (40% of total)

ival-add: 1.0ms (20% of total)

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

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

series7.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB 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	x	@	inf	(/ (* x (+ y z)) z)
1.0ms	z	@	-inf	(/ (* x (+ y z)) z)

rewrite304.0ms (3.5%)

Memory

-19.2MiB live, 607.6MiB 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 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
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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))))

simplify249.0ms (2.8%)

Memory

4.1MiB live, 297.9MiB 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)

eval53.0ms (0.6%)

Memory: 1.6MiB live, 118.6MiB allocated
Compiler: Compiled 10 478 to 1 294 computations (87.7% saved)

prune58.0ms (0.7%)

Memory

15.9MiB live, 131.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	458	8	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	459	8	467

Accuracy

100.0%

Counts

467 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(fma.f64 x (/.f64 y z) x)
▶	54.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 x (+.f64 y z)))) (.f64 z z))
	41.6%	(/.f64 (*.f64 x z) z)
▶	48.6%	(/.f64 (*.f64 x y) z)
▶	97.2%	(/.f64 x (/.f64 z (+.f64 y z)))
	82.8%	(*.f64 (/.f64 x z) (+.f64 y z))
▶	86.1%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
	96.4%	(.f64 (neg.f64 x) (.f64 (+.f64 y z) (/.f64 #s(literal -1 binary64) z)))

Compiler

Compiled 180 to 112 computations (37.8% saved)

simplify355.0ms (4%)

Memory

-9.8MiB live, 230.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	320	(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (*.f64 x (+.f64 y z))))
✓	cost-diff	448	(*.f64 #s(literal 0 binary64) (neg.f64 z))
✓	cost-diff	768	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 x (+.f64 y z)))) (.f64 z z))
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(*.f64 x (+.f64 y z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	448	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(fma.f64 x (/.f64 y z) x)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(/.f64 z (+.f64 y z))
✓	cost-diff	512	(/.f64 x (/.f64 z (+.f64 y z)))

Rules

6 960×	`lower-fma.f32`
6 958×	`lower-fma.f64`
2 618×	`lower-*.f32`
2 608×	`lower-*.f64`
1 382×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	124
0	38	106
1	82	104
2	233	104
3	1122	100
4	3177	100
5	4912	100
6	5884	100
7	6504	100
8	6698	100
9	6830	100
10	7016	100
11	7667	100
0	8205	100

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 y z)))
x
(/.f64 z (+.f64 y z))
z
(+.f64 y z)
y
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(fma.f64 x (/.f64 y z) x)
x
(/.f64 y z)
y
z
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 x (+.f64 y z)))) (.f64 z z))
(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 0 binary64) (neg.f64 z))
#s(literal 0 binary64)
(neg.f64 z)
z
(.f64 (neg.f64 z) (.f64 x (+.f64 y z)))
(*.f64 x (+.f64 y z))
x
(+.f64 y z)
y
(*.f64 z z)

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

localize79.0ms (0.9%)

Memory

-12.3MiB live, 126.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	95.3%	(.f64 (neg.f64 z) (.f64 x (+.f64 y z)))
✓	accuracy	55.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 x (+.f64 y z)))) (.f64 z z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	86.1%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	96.6%	(fma.f64 x (/.f64 y z) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	93.7%	(/.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(/.f64 z (+.f64 y z))
✓	accuracy	97.2%	(/.f64 x (/.f64 z (+.f64 y z)))

Samples

54.0ms

256×

valid

Compiler

Compiled 127 to 24 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 23.0ms (61% of total)

ival-mult: 9.0ms (23.9% of total)

ival-add: 3.0ms (8% of total)

ival-sub: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

-6.1MiB live, 30.5MiB allocated

Counts

15 → 420

Calls

Call 1

Inputs
#<alt (/.f64 x (/.f64 z (+.f64 y z)))>
#<alt (/.f64 z (+.f64 y z))>
#<alt (+.f64 y z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>
#<alt (fma.f64 x (/.f64 y z) x)>
#<alt (/.f64 y z)>
#<alt (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (*.f64 x (+.f64 y z))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 x (+.f64 y z)))) (.f64 z z))>
#<alt (*.f64 #s(literal 0 binary64) (neg.f64 z))>
#<alt (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (*.f64 x (+.f64 y z))))>
#<alt (neg.f64 z)>
#<alt (.f64 (neg.f64 z) (.f64 x (+.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 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))>
#<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)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) 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 (+ 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) (* 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)) 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 (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x 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 (/ (* 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)) 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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* x (* y z))>
#<alt (* z (- (* x z) (* -1 (* x y))))>
#<alt (* z (- (* x z) (* -1 (* x y))))>
#<alt (* z (- (* x z) (* -1 (* x y))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (- (/ (* x y) z) (* -1 x)))>
#<alt (* (pow z 2) (- (/ (* x y) z) (* -1 x)))>
#<alt (* (pow z 2) (- (/ (* x y) z) (* -1 x)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (- (/ (* x y) z) (* -1 x)))>
#<alt (* (pow z 2) (- (/ (* x y) z) (* -1 x)))>
#<alt (* (pow z 2) (- (/ (* x y) z) (* -1 x)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (* z (+ y z)))>
#<alt (* x (pow z 2))>
#<alt (- (* x (* y z)) (* -1 (* x (pow z 2))))>
#<alt (- (* x (* y z)) (* -1 (* x (pow z 2))))>
#<alt (- (* x (* y z)) (* -1 (* x (pow z 2))))>
#<alt (* x (* y z))>
#<alt (* y (- (/ (* x (pow z 2)) y) (* -1 (* x z))))>
#<alt (* y (- (/ (* x (pow z 2)) y) (* -1 (* x z))))>
#<alt (* y (- (/ (* x (pow z 2)) y) (* -1 (* x z))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (* x (pow z 2)) y)) (* x z))))>
#<alt (* -1 (* y (- (* -1 (/ (* x (pow z 2)) y)) (* x z))))>
#<alt (* -1 (* y (- (* -1 (/ (* x (pow z 2)) y)) (* x z))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 (* x (* y z)))>
#<alt (* z (+ (* -1 (* x y)) (* -1 (* x z))))>
#<alt (* z (+ (* -1 (* x y)) (* -1 (* x z))))>
#<alt (* z (+ (* -1 (* x y)) (* -1 (* x z))))>
#<alt (* -1 (* x (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))>
#<alt (* -1 (* x (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (* z (+ y z))))>
#<alt (* -1 (* x (pow z 2)))>
#<alt (+ (* -1 (* x (* y z))) (* -1 (* x (pow z 2))))>
#<alt (+ (* -1 (* x (* y z))) (* -1 (* x (pow z 2))))>
#<alt (+ (* -1 (* x (* y z))) (* -1 (* x (pow z 2))))>
#<alt (* -1 (* x (* y z)))>
#<alt (* y (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))))>
#<alt (* y (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))))>
#<alt (* y (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* y (+ (* x z) (/ (* x (pow z 2)) y))))>
#<alt (* -1 (* y (+ (* x z) (/ (* x (pow z 2)) y))))>
#<alt (* -1 (* y (+ (* x z) (/ (* x (pow z 2)) y))))>

Calls

105 calls:

Time	Variable		Point	Expression
21.0ms	z	@	0	(/ (* x y) z)
3.0ms	x	@	inf	(- (* 0 (neg z)) (* (neg z) (* x (+ y z))))
2.0ms	x	@	0	(/ (* x y) z)
1.0ms	x	@	0	(- (* 0 (neg z)) (* (neg z) (* x (+ y z))))
1.0ms	z	@	inf	(/ (* x y) z)

rewrite653.0ms (7.4%)

Memory

20.9MiB live, 568.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 068×	`lower-fma.f32`
6 066×	`lower-fma.f64`
4 770×	`lower-*.f32`
4 760×	`lower-*.f64`
3 600×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	38	74
1	159	72
2	1125	72
0	8572	72

Stop Event

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

Counts

15 → 2 937

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 y z)))
(/.f64 z (+.f64 y z))
(+.f64 y z)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
(fma.f64 x (/.f64 y z) x)
(/.f64 y z)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
(/.f64 #s(literal 1 binary64) z)
(*.f64 x (+.f64 y z))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 x (+.f64 y z)))) (.f64 z z))
(*.f64 #s(literal 0 binary64) (neg.f64 z))
(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (*.f64 x (+.f64 y z))))
(neg.f64 z)
(.f64 (neg.f64 z) (.f64 x (+.f64 y z)))

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

simplify774.0ms (8.8%)

Memory

-5.4MiB live, 318.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 232×	`lower-fma.f64`
6 232×	`lower-fma.f32`
3 138×	`lower-*.f64`
3 138×	`lower-*.f32`
1 638×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	2481
1	617	2340
2	1648	2310
3	4449	2308
0	8248	2175

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 402

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 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))
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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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 (+ 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) (* 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)) 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)))))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x 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)))))
(/ (* 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)) 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)))))
0
0
0
0
0
0
0
0
0
0
0
0
(* x (* y z))
(* z (- (* x z) (* -1 (* x y))))
(* z (- (* x z) (* -1 (* x y))))
(* z (- (* x z) (* -1 (* x y))))
(* x (pow z 2))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(* x (pow z 2))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (* z (+ y z)))
(* x (pow z 2))
(- (* x (* y z)) (* -1 (* x (pow z 2))))
(- (* x (* y z)) (* -1 (* x (pow z 2))))
(- (* x (* y z)) (* -1 (* x (pow z 2))))
(* x (* y z))
(* y (- (/ (* x (pow z 2)) y) (* -1 (* x z))))
(* y (- (/ (* x (pow z 2)) y) (* -1 (* x z))))
(* y (- (/ (* x (pow z 2)) y) (* -1 (* x z))))
(* x (* y z))
(* -1 (* y (- (* -1 (/ (* x (pow z 2)) y)) (* x z))))
(* -1 (* y (- (* -1 (/ (* x (pow z 2)) y)) (* x z))))
(* -1 (* y (- (* -1 (/ (* x (pow z 2)) y)) (* x z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (* -1 (* x z))))
(* z (+ (* -1 (* x y)) (* -1 (* x z))))
(* z (+ (* -1 (* x y)) (* -1 (* x z))))
(* -1 (* x (pow z 2)))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(* -1 (* x (pow z 2)))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (* z (+ y z))))
(* -1 (* x (pow z 2)))
(+ (* -1 (* x (* y z))) (* -1 (* x (pow z 2))))
(+ (* -1 (* x (* y z))) (* -1 (* x (pow z 2))))
(+ (* -1 (* x (* y z))) (* -1 (* x (pow z 2))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))))
(* y (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))))
(* y (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* x z) (/ (* x (pow z 2)) y))))
(* -1 (* y (+ (* x z) (/ (* x (pow z 2)) y))))
(* -1 (* y (+ (* x z) (/ (* x (pow z 2)) y))))

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 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))
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(.f64 x (.f64 z z))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(.f64 x (.f64 z (+.f64 y z)))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(.f64 x (.f64 z (+.f64 y z)))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (pow z 2))
(.f64 x (.f64 z z))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(.f64 x (.f64 z (+.f64 y z)))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(.f64 x (.f64 z (+.f64 y z)))
(* (pow z 2) (- (/ (* x y) z) (* -1 x)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* z (+ y z)))
(.f64 x (.f64 z (+.f64 y z)))
(* x (pow z 2))
(.f64 x (.f64 z z))
(- (* x (* y z)) (* -1 (* x (pow z 2))))
(.f64 x (.f64 z (+.f64 y z)))
(- (* x (* y z)) (* -1 (* x (pow z 2))))
(.f64 x (.f64 z (+.f64 y z)))
(- (* x (* y z)) (* -1 (* x (pow z 2))))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* y z))
(.f64 x (.f64 y z))
(* y (- (/ (* x (pow z 2)) y) (* -1 (* x z))))
(.f64 x (.f64 z (+.f64 y z)))
(* y (- (/ (* x (pow z 2)) y) (* -1 (* x z))))
(.f64 x (.f64 z (+.f64 y z)))
(* y (- (/ (* x (pow z 2)) y) (* -1 (* x z))))
(.f64 x (.f64 z (+.f64 y z)))
(* x (* y z))
(.f64 x (.f64 y z))
(* -1 (* y (- (* -1 (/ (* x (pow z 2)) y)) (* x z))))
(.f64 x (.f64 z (+.f64 y z)))
(* -1 (* y (- (* -1 (/ (* x (pow z 2)) y)) (* x z))))
(.f64 x (.f64 z (+.f64 y z)))
(* -1 (* y (- (* -1 (/ (* x (pow z 2)) y)) (* x z))))
(.f64 x (.f64 z (+.f64 y z)))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* z (+ (* -1 (* x y)) (* -1 (* x z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* z (+ (* -1 (* x y)) (* -1 (* x z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* z (+ (* -1 (* x y)) (* -1 (* x z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (pow z 2)))
(.f64 x (.f64 z (neg.f64 z)))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (pow z 2)))
(.f64 x (.f64 z (neg.f64 z)))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* (pow z 2) (+ (* -1 x) (* -1 (/ (* x y) z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* z (+ y z))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (pow z 2)))
(.f64 x (.f64 z (neg.f64 z)))
(+ (* -1 (* x (* y z))) (* -1 (* x (pow z 2))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(+ (* -1 (* x (* y z))) (* -1 (* x (pow z 2))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(+ (* -1 (* x (* y z))) (* -1 (* x (pow z 2))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* y (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* y (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* y (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* y (+ (* x z) (/ (* x (pow z 2)) y))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* y (+ (* x z) (/ (* x (pow z 2)) y))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))
(* -1 (* y (+ (* x z) (/ (* x (pow z 2)) y))))
(.f64 (+.f64 y z) (.f64 x (neg.f64 z)))

eval939.0ms (10.7%)

Memory: 17.6MiB live, 703.9MiB allocated
Compiler: Compiled 75 850 to 4 392 computations (94.2% saved)

prune400.0ms (4.5%)

Memory

2.7MiB live, 677.5MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	3 591	7	3 598
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	3 597	9	3 606

Accuracy

100.0%

Counts

3 606 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.4%	(fma.f64 y (/.f64 x z) x)
✓	96.6%	(fma.f64 x (/.f64 y z) x)
✓	48.6%	(/.f64 (*.f64 x y) z)
	47.0%	(/.f64 y (/.f64 z x))
	48.7%	(/.f64 x (/.f64 z y))
▶	50.9%	(/.f64 x #s(literal 1 binary64))
▶	48.1%	(*.f64 (/.f64 y z) x)
▶	48.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
▶	46.5%	(*.f64 y (/.f64 x z))

Compiler

Compiled 131 to 84 computations (35.9% saved)

simplify7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x 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 y (/.f64 x z))
✓	cost-diff	704	(/.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(fma.f64 y (/.f64 x z) x)

Rules

68×	`lower-*.f32`
60×	`lower-*.f64`
28×	`associate-r`
28×	`lower-fma.f32`
26×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	22	52
1	35	52
2	58	52
3	101	52
4	118	52
5	118	52
0	118	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize80.0ms (0.9%)

Memory

4.7MiB live, 84.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	93.6%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	92.1%	(*.f64 (/.f64 y z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	90.2%	(*.f64 y (/.f64 x z))
✓	accuracy	100.0%	(/.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	91.4%	(fma.f64 y (/.f64 x z) x)

Samples

65.0ms

256×

valid

Compiler

Compiled 59 to 15 computations (74.6% saved)

Precisions

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

ival-div: 7.0ms (50.6% of total)

ival-mult: 6.0ms (43.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

9 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite407.0ms (4.6%)

Memory

-49.8MiB live, 383.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 490×	`lower-fma.f32`
5 488×	`lower-fma.f64`
3 144×	`lower-*.f32`
3 136×	`lower-*.f64`
2 560×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
0	22	34
1	71	34
2	532	34
3	7693	34
0	8126	34

Stop Event

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

Counts

9 → 516

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 y (/.f64 x z)) x)
(+.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (-.f64 (.f64 y (/.f64 x z)) x) (.f64 z z))) (neg.f64 (.f64 (/.f64 (.f64 x x) (*.f64 x (-.f64 y z))) z)))
(-.f64 (*.f64 y (/.f64 x z)) (neg.f64 x))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (-.f64 (.f64 y (/.f64 x z)) x) (.f64 z z))) (.f64 (/.f64 (.f64 x x) (*.f64 x (-.f64 y z))) z))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (/.f64 x z)))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 z z)) (-.f64 x (*.f64 y (/.f64 x z)))))
(fma.f64 y (/.f64 x z) x)
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simplify351.0ms (4%)

Memory

-0.7MiB live, 357.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 904×	`lower-fma.f64`
8 904×	`lower-fma.f32`
2 432×	`lower-+.f64`
2 432×	`lower-+.f32`
1 920×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1032
1	82	1032
2	205	1032
3	430	1032
4	939	1032
5	2468	1032
6	3556	1032
7	4301	1032
8	4830	1032
9	5493	1032
10	5898	1032
11	6932	1032
0	8296	1002

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 225

Calls

Call 1

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

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

eval221.0ms (2.5%)

Memory: -15.5MiB live, 185.8MiB allocated
Compiler: Compiled 9 108 to 917 computations (89.9% saved)

prune144.0ms (1.6%)

Memory

28.0MiB live, 146.7MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	795	2	797
Fresh	0	2	2
Picked	1	4	5
Done	0	2	2
Total	796	10	806

Accuracy

100.0%

Counts

806 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(fma.f64 y (/.f64 x z) x)
✓	96.6%	(fma.f64 x (/.f64 y z) x)
✓	48.6%	(/.f64 (*.f64 x y) z)
▶	47.0%	(/.f64 y (/.f64 z x))
▶	48.7%	(/.f64 x (/.f64 z y))
✓	48.1%	(*.f64 (/.f64 y z) x)
✓	48.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
✓	46.5%	(*.f64 y (/.f64 x z))
▶	46.5%	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) x))
▶	50.9%	x

Compiler

Compiled 82 to 52 computations (36.6% saved)

simplify7.0ms (0.1%)

Memory

-28.7MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 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 z y)
✓	cost-diff	384	(/.f64 x (/.f64 z y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) x))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) x)

Rules

52×	`lower-*.f32`
48×	`lower-*.f64`
26×	`lower-/.f32`
26×	`associate-l`
20×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	18	46
1	30	38
2	47	38
3	77	38
4	84	38
5	88	38
0	88	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (0.7%)

Memory

29.7MiB live, 69.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	91.0%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	91.9%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	accuracy	90.2%	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) x))

Samples

46.0ms

256×

valid

Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 33.0ms (91% of total)

ival-mult: 3.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.4%)

Memory

-29.4MiB live, 9.8MiB allocated

Counts

7 → 192

Calls

Call 1

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

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

48 calls:

Time	Variable		Point	Expression
31.0ms	z	@	inf	(/ z x)
0.0ms	z	@	-inf	(/ z x)
0.0ms	z	@	-inf	(/ z y)
0.0ms	z	@	0	(/ z x)
0.0ms	z	@	0	(/ z y)

rewrite313.0ms (3.5%)

Memory

13.2MiB live, 332.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 002×	`lower-*.f32`
2 998×	`lower-*.f64`
1 860×	`lower-fma.f64`
1 860×	`lower-fma.f32`
1 800×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	18	35
1	60	27
2	251	27
3	1246	27
4	5287	27
0	8531	27

Stop Event

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

Counts

7 → 614

Calls

Call 1

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

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

simplify29.0ms (0.3%)

Memory

-6.5MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	792
1	15	792
2	17	792
3	18	792
0	18	792

Stop Event

1×	iter limit
1×	saturated

Counts

192 → 192

Calls

Call 1

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

eval132.0ms (1.5%)

Memory: 30.5MiB live, 147.0MiB allocated
Compiler: Compiled 8 437 to 1 069 computations (87.3% saved)

prune153.0ms (1.7%)

Memory

2.7MiB live, 123.4MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	806	0	806
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	806	10	816

Accuracy

100.0%

Counts

816 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(fma.f64 y (/.f64 x z) x)
✓	96.6%	(fma.f64 x (/.f64 y z) x)
✓	48.6%	(/.f64 (*.f64 x y) z)
✓	47.0%	(/.f64 y (/.f64 z x))
✓	48.7%	(/.f64 x (/.f64 z y))
✓	48.1%	(*.f64 (/.f64 y z) x)
✓	48.5%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
✓	46.5%	(*.f64 y (/.f64 x z))
✓	46.5%	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) x))
✓	50.9%	x

Compiler

Compiled 202 to 94 computations (53.5% saved)

regimes93.0ms (1.1%)

Memory

-11.9MiB live, 67.1MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
x
(/.f64 x #s(literal 1 binary64))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x z) z)
(fma.f64 x (/.f64 y z) x)
(fma.f64 y (/.f64 x z) x)
(*.f64 (/.f64 x z) (+.f64 y z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) x))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
(/.f64 x (/.f64 z (+.f64 y z)))
(.f64 (neg.f64 x) (.f64 (+.f64 y z) (/.f64 #s(literal -1 binary64) z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 (neg.f64 z) (.f64 x (+.f64 y z)))) (.f64 z z))

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

Calls

4 calls:

36.0ms	y
6.0ms	z
6.0ms	x
6.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
97.2%	1	`x`
99.1%	2	`y`
97.2%	1	`z`
97.2%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes36.0ms (0.4%)

Memory

-23.2MiB live, 17.2MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

35.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

32.6MiB live, 32.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.6%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
96.6%	1	`x`
96.6%	1	`z`
98.3%	2	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes21.0ms (0.2%)

Memory

-10.9MiB live, 28.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
75.8%	3	`z`
62.5%	7	`x`
72.6%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`
78.3%	3	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes2.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.9%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.3%)

Memory

-22.8MiB live, 16.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

22.0ms	y
2.0ms	z
2.0ms	x
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
50.9%	1	`x`
50.9%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
50.9%	1	`z`
50.9%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	-1.8014592302816808e+20	-91077301545096500.0

Samples

2.0ms

48×

valid

Compiler

Compiled 76 to 51 computations (32.9% 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)

bsearch4.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	-3774646636202.885	-92068.93688398162

Samples

2.0ms

48×

valid

Compiler

Compiled 73 to 48 computations (34.2% 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)

bsearch26.0ms (0.3%)

Memory

-17.4MiB live, 21.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-9.11155220032874e+197	-3.5436692844652337e+196

Samples

22.0ms

112×

valid

Compiler

Compiled 146 to 96 computations (34.2% saved)

Precisions

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

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

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

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

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

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

bsearch39.0ms (0.4%)

Memory

-4.5MiB live, 41.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	4.4626805965998817e+24	5.765319614322399e+30
10.0ms	-1.603527286451726e-7	-2.8008326475959463e-10

Samples

28.0ms

272×

valid

Compiler

Compiled 251 to 182 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 18.0ms (83.3% of total)

ival-mult: 2.0ms (9.3% of total)

ival-add: 1.0ms (4.6% of total)

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

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.4626805965998817e+24	5.765319614322399e+30
1.0ms	-1.603527286451726e-7	-2.8008326475959463e-10

Compiler

Compiled 251 to 182 computations (27.5% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	4.4626805965998817e+24	5.765319614322399e+30
1.0ms	-1.603527286451726e-7	-2.8008326475959463e-10

Compiler

Compiled 251 to 182 computations (27.5% saved)

simplify7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	106
1	37	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -20000000000000000000 binary64)) (fma.f64 y (/.f64 x z) x) (/.f64 x (/.f64 z (+.f64 y z))))
(if (<=.f64 y #s(literal -500000000 binary64)) (fma.f64 y (/.f64 x z) x) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 y #s(literal -319999999999999984365853588455524225708453134757958934382930684498352375159998693864908412453514887299068014360548424214622344104017679778964343549640846527800651729227949600024871569223330759180288 binary64)) (*.f64 y (/.f64 x z)) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 y #s(literal -6346860552976803/302231454903657293676544 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 105999999999999997147873280 binary64)) x (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -6346860552976803/302231454903657293676544 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 105999999999999997147873280 binary64)) x (.f64 (/.f64 y z) x)))
(if (<=.f64 y #s(literal -6346860552976803/302231454903657293676544 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 105999999999999997147873280 binary64)) x (.f64 y (/.f64 x z))))
x

Outputs
(if (<=.f64 y #s(literal -20000000000000000000 binary64)) (fma.f64 y (/.f64 x z) x) (/.f64 x (/.f64 z (+.f64 y z))))
(if (<=.f64 y #s(literal -500000000 binary64)) (fma.f64 y (/.f64 x z) x) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 y #s(literal -319999999999999984365853588455524225708453134757958934382930684498352375159998693864908412453514887299068014360548424214622344104017679778964343549640846527800651729227949600024871569223330759180288 binary64)) (*.f64 y (/.f64 x z)) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 y #s(literal -6346860552976803/302231454903657293676544 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 105999999999999997147873280 binary64)) x (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -6346860552976803/302231454903657293676544 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 105999999999999997147873280 binary64)) x (/.f64 (.f64 y x) z)))
(if (<=.f64 y #s(literal -6346860552976803/302231454903657293676544 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 105999999999999997147873280 binary64)) x (.f64 (/.f64 y z) x)))
(if (<=.f64 y #s(literal -6346860552976803/302231454903657293676544 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 105999999999999997147873280 binary64)) x (.f64 x (/.f64 y z))))
(if (<=.f64 y #s(literal -6346860552976803/302231454903657293676544 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 105999999999999997147873280 binary64)) x (.f64 y (/.f64 x z))))
x

soundness1.3s (14.5%)

Memory

3.3MiB live, 764.1MiB allocated

Rules

6 232×	`lower-fma.f64`
6 232×	`lower-fma.f32`
6 068×	`lower-fma.f32`
6 066×	`lower-fma.f64`
5 490×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	2481
1	617	2340
2	1648	2310
3	4449	2308
0	8248	2175
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15
0	13	38
0	22	34
1	71	34
2	532	34
3	7693	34
0	8126	34
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	21	93
0	38	74
1	159	72
2	1125	72
0	8572	72

Stop Event

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

Compiler

Compiled 341 to 180 computations (47.2% saved)

preprocess119.0ms (1.4%)

Memory: -29.0MiB live, 169.8MiB allocated
Remove: (negabs x)
Compiler: Compiled 298 to 112 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze36.0ms (0.4%)

sample632.0ms (7.2%)

preprocess327.0ms (3.7%)

explain60.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify205.0ms (2.3%)

localize19.0ms (0.2%)

series7.0ms (0.1%)

rewrite304.0ms (3.5%)

simplify249.0ms (2.8%)

eval53.0ms (0.6%)

prune58.0ms (0.7%)

simplify355.0ms (4%)

localize79.0ms (0.9%)

series42.0ms (0.5%)

rewrite653.0ms (7.4%)

simplify774.0ms (8.8%)

eval939.0ms (10.7%)

prune400.0ms (4.5%)

simplify7.0ms (0.1%)

localize80.0ms (0.9%)

series5.0ms (0.1%)

rewrite407.0ms (4.6%)

simplify351.0ms (4%)

eval221.0ms (2.5%)

prune144.0ms (1.6%)

simplify7.0ms (0.1%)

localize58.0ms (0.7%)

series35.0ms (0.4%)

rewrite313.0ms (3.5%)

simplify29.0ms (0.3%)

eval132.0ms (1.5%)

prune153.0ms (1.7%)

regimes93.0ms (1.1%)

regimes36.0ms (0.4%)

regimes13.0ms (0.1%)

regimes21.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes27.0ms (0.3%)

bsearch4.0ms (0%)

bsearch4.0ms (0%)

bsearch26.0ms (0.3%)

bsearch39.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.3s (14.5%)

preprocess119.0ms (1.4%)

end0.0ms (0%)

Profiling