Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

analyze13.0ms (0.3%)

Memory

-16.2MiB live, 22.0MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample741.0ms (18.5%)

Memory

-0.4MiB live, 727.9MiB allocated

Samples

376.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-div: 83.0ms (42.2% of total)

ival-mult: 59.0ms (30% of total)

ival-add: 41.0ms (20.8% of total)

ival-true: 5.0ms (2.5% of total)

exact: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

preprocess61.0ms (1.5%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Rules

486×	`times-frac`
304×	`unsub-neg`
238×	`distribute-lft-in`
228×	`distribute-lft-neg-in`
228×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	50	37
2	145	35
3	443	35
4	1190	35
5	1667	35
6	1882	35
7	1938	35
8	1966	35
9	1970	35
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

explain127.0ms (3.2%)

Memory

-27.4MiB live, 57.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	38	0
↳	`(*.f64 x y)`	overflow	38

Confusion

	Predicted +	Predicted -
+	38	0
-	0	218

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	0	0	218

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	218
1	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-mult: 4.0ms (38% of total)

ival-div: 3.0ms (28.5% of total)

ival-add: 3.0ms (28.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	18	16
3	19	16
0	19	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.5%)

Memory

19.7MiB live, 19.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	86.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 2.0ms (39.8% of total)

ival-mult: 2.0ms (39.8% of total)

ival-add: 1.0ms (19.9% 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

5.0MiB live, 5.0MiB allocated

Counts

3 → 60

Calls

Call 1

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

Outputs
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>

Calls

15 calls:

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

rewrite544.0ms (13.5%)

Memory

-10.3MiB live, 306.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 518×	`lower-/.f32`
5 516×	`lower-/.f64`
3 256×	`lower-*.f32`
3 254×	`lower-*.f64`
2 620×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13

Stop Event

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

Counts

3 → 336

Calls

Call 1

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

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

simplify495.0ms (12.3%)

Memory

0.4MiB live, 316.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
2 536×	`lower-*.f64`
2 536×	`lower-*.f32`
1 658×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	299
1	135	290
2	274	282
3	1008	276
4	4085	276
5	5964	276
6	7080	276
7	7763	276
0	8010	274

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

eval57.0ms (1.4%)

Memory: 14.3MiB live, 88.6MiB allocated
Compiler: Compiled 8 336 to 1 037 computations (87.6% saved)

prune61.0ms (1.5%)

Memory

5.6MiB live, 128.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	388	4	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	5	393

Accuracy

100.0%

Counts

393 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	49.0%	(-.f64 x (/.f64 x y))
▶	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
▶	51.6%	(*.f64 x (fma.f64 y (neg.f64 y) y))
▶	52.4%	(*.f64 x y)

Compiler

Compiled 39 to 24 computations (38.5% saved)

simplify83.0ms (2.1%)

Memory

-27.8MiB live, 101.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

800×	`lower-fma.f32`
798×	`lower-fma.f64`
536×	`lower-*.f32`
530×	`lower-*.f64`
202×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
0	22	49
1	43	49
2	71	49
3	140	49
4	207	49
5	369	49
6	669	49
7	1002	49
8	1313	49
9	1578	49
10	1602	49
11	1612	49
12	1615	49
13	1616	49
0	1616	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (1.1%)

Memory

3.6MiB live, 121.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 x y))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(fma.f64 y (neg.f64 y) y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	94.8%	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	accuracy	100.0%	(*.f64 x y)

Samples

27.0ms

256×

valid

Compiler

Compiled 51 to 15 computations (70.6% saved)

Precisions

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

ival-mult: 6.0ms (37.8% of total)

ival-div: 3.0ms (18.9% of total)

ival-sub: 2.0ms (12.6% of total)

ival-add: 2.0ms (12.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

9 → 168

Calls

Call 1

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

Outputs
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (/ x y))>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>

Calls

42 calls:

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

rewrite273.0ms (6.8%)

Memory

-22.7MiB live, 651.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 146×	`lower-fma.f32`
6 144×	`lower-fma.f64`
4 106×	`lower-*.f32`
4 100×	`lower-*.f64`
3 652×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	22	40
1	89	40
2	620	40
0	8244	40

Stop Event

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

Counts

9 → 502

Calls

Call 1

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

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

simplify361.0ms (9%)

Memory

10.1MiB live, 611.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 436×	`lower-fma.f64`
13 436×	`lower-fma.f32`
2 984×	`lower-*.f64`
2 984×	`lower-*.f32`
2 110×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	871
1	250	809
2	518	793
3	1845	781
4	6186	781
0	8236	777

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 160

Calls

Call 1

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

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

eval81.0ms (2%)

Memory: -2.9MiB live, 187.1MiB allocated
Compiler: Compiled 11 981 to 1 434 computations (88% saved)

prune71.0ms (1.8%)

Memory

2.0MiB live, 199.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	661	1	662
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	661	6	667

Accuracy

100.0%

Counts

667 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	49.0%	(-.f64 x (/.f64 x y))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
✓	51.6%	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	52.4%	(*.f64 x y)
▶	49.6%	(*.f64 #s(literal 1 binary64) x)

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify5.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

4×	`lower-*.f32`
2×	`*-commutative`
2×	`lower-*.f64`
2×	`1-exp`
2×	`lift-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	3
1	7	3
2	8	3
0	8	3

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.3%)

Memory

-4.8MiB live, 32.9MiB allocated

Localize:

Found 1 expressions of interest:

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

Samples

8.0ms

256×

valid

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

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

ival-mult: 2.0ms (102.6% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

1 → 12

Calls

Call 1

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

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>

Calls

3 calls:

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

rewrite9.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4×	`lower-*.f32`
2×	`lower-*.f64`
2×	`*-commutative`
2×	`1-exp`
2×	`lift-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	4	1
1	7	1
2	8	1
0	8	1

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

1 → 3

Calls

Call 1

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

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

simplify12.0ms (0.3%)

Memory

-43.1MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12
0	1	12

Stop Event

1×	saturated
1×	saturated

Counts

12 → 0

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x

eval1.0ms (0%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 9 to 5 computations (44.4% saved)

prune2.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	3	6	9

Accuracy

100.0%

Counts

9 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	49.0%	(-.f64 x (/.f64 x y))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
✓	51.6%	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	52.4%	(*.f64 x y)
▶	49.6%	x

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize10.0ms (0.3%)

Memory

-12.2MiB live, 24.0MiB allocated

Samples

7.0ms

256×

valid

Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite8.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.2%)

Memory

-23.6MiB live, 14.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	49.0%	(-.f64 x (/.f64 x y))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
✓	51.6%	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	52.4%	(*.f64 x y)
✓	49.6%	x

Compiler

Compiled 77 to 40 computations (48.1% saved)

regimes9.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.2%)

Memory

-16.8MiB live, 22.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
55.9%	2	`x`
99.1%	3	`y`
80.7%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
x
(*.f64 x y)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory

-26.6MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

5.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
49.6%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch26.0ms (0.7%)

Memory

-4.6MiB live, 74.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.8771831546015469	32084765.791370597
13.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

13.0ms

304×

valid

Compiler

Compiled 354 to 220 computations (37.9% saved)

Precisions

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

ival-div: 3.0ms (45.6% of total)

ival-mult: 2.0ms (30.4% of total)

ival-add: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.5%)

Memory

10.7MiB live, 49.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.2265809961619807	0.8771831546015469
12.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

11.0ms

240×

valid

Compiler

Compiled 222 to 146 computations (34.2% saved)

Precisions

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

ival-mult: 3.0ms (51.8% of total)

ival-div: 2.0ms (34.5% of total)

ival-add: 1.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.7%)

Memory

14.2MiB live, 54.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.8771831546015469	32084765.791370597
15.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

15.0ms

304×

valid

Compiler

Compiled 202 to 144 computations (28.7% saved)

Precisions

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

ival-div: 2.0ms (32.6% of total)

ival-mult: 2.0ms (32.6% of total)

ival-add: 1.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	34	63
2	42	63
3	47	63
4	50	63
5	51	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x (fma.f64 y (neg.f64 y) y)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3/4 binary64)) (*.f64 x (fma.f64 y (neg.f64 y) y)) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

Outputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x (fma.f64 y (neg.f64 y) y)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3/4 binary64)) (*.f64 x (fma.f64 y (neg.f64 y) y)) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 y x) x))
x

soundness728.0ms (18.1%)

Memory

-18.9MiB live, 385.4MiB allocated

Rules

13 436×	`lower-fma.f64`
13 436×	`lower-fma.f32`
9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
5 518×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	871
1	250	809
2	518	793
3	1845	781
4	6186	781
0	8236	777
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13
0	46	299
1	135	290
2	274	282
3	1008	276
4	4085	276
5	5964	276
6	7080	276
7	7763	276
0	8010	274
0	3	3
0	4	1
1	7	1
2	8	1
0	8	1

Stop Event

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

Compiler

Compiled 155 to 82 computations (47.1% saved)

preprocess48.0ms (1.2%)

Memory: 16.2MiB live, 95.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 244 to 104 computations (57.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.3%)

sample741.0ms (18.5%)

preprocess61.0ms (1.5%)

explain127.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize18.0ms (0.5%)

series5.0ms (0.1%)

rewrite544.0ms (13.5%)

simplify495.0ms (12.3%)

eval57.0ms (1.4%)

prune61.0ms (1.5%)

simplify83.0ms (2.1%)

localize46.0ms (1.1%)

series8.0ms (0.2%)

rewrite273.0ms (6.8%)

simplify361.0ms (9%)

eval81.0ms (2%)

prune71.0ms (1.8%)

simplify5.0ms (0.1%)

localize14.0ms (0.3%)

series0.0ms (0%)

rewrite9.0ms (0.2%)

simplify12.0ms (0.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

simplify4.0ms (0.1%)

localize10.0ms (0.3%)

series0.0ms (0%)

rewrite8.0ms (0.2%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune6.0ms (0.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes9.0ms (0.2%)

bsearch26.0ms (0.7%)

bsearch21.0ms (0.5%)

bsearch28.0ms (0.7%)

simplify7.0ms (0.2%)

soundness728.0ms (18.1%)

preprocess48.0ms (1.2%)

end0.0ms (0%)

Profiling