Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample954.0ms (24.2%)

Memory

2.4MiB live, 946.3MiB allocated

Samples

385.0ms	5 795×	0	valid
318.0ms	2 461×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 459.0ms

ival-mult: 227.0ms (49.5% of total)

ival-sub: 117.0ms (25.5% of total)

ival-add: 55.0ms (12% of total)

adjust: 50.0ms (10.9% of total)

ival-true: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain122.0ms (3.1%)

Memory

-13.4MiB live, 128.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
116	-	-	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`
10	-	-	`(-.f64 (.f64 x y) (.f64 y y))`
5	-	-	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`y`
0	-	-	`(*.f64 y z)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	nan-rescue	54	0
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 x y)`	overflow	32
↳	`(-.f64 (.f64 x y) (.f64 y y))`	overflow	65
↳	`(*.f64 y y)`	overflow	59
`+.f64`	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	cancellation	34	0
`-.f64`	`(-.f64 (.f64 x y) (.f64 y y))`	nan-rescue	10	0
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 y y)`	overflow	59
`-.f64`	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`	nan-rescue	5	0
↳	`(*.f64 y y)`	overflow	118
↳	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`	overflow	32
↳	`(*.f64 x y)`	overflow	32
↳	`(-.f64 (.f64 x y) (.f64 y y))`	overflow	65
↳	`(*.f64 y z)`	overflow	31

Confusion

	Predicted +	Predicted -
+	83	0
-	10	163

Precision

0.8924731182795699

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	83	0	0
-	10	0	163

Precision?

0.8924731182795699

Recall?

1.0

Freqs

test

number	freq
0	163
1	83
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms	210×	1	valid
18.0ms	296×	0	valid
1.0ms	6×	2	valid

Compiler

Compiled 109 to 31 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 13.0ms (46.9% of total)

ival-sub: 6.0ms (21.7% of total)

adjust: 5.0ms (18.1% of total)

ival-add: 3.0ms (10.8% of total)

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

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

preprocess173.0ms (4.4%)

Memory

7.4MiB live, 37.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	125
1	147	87
2	665	65
3	1954	47
4	7292	47
0	9	15
0	15	13
1	33	9
2	138	7
3	370	5
4	1321	5
5	3344	5
6	6115	5
7	6954	5
8	7018	5
9	7043	5
10	7809	5
0	8899	5

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

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

Symmetry

(negabs y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.7%	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify208.0ms (5.3%)

Memory

-10.8MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	2	(-.f64 (.f64 x y) (.f64 y y))
cost-diff	2	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
cost-diff	6	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	15	33
1	33	29
2	138	27
3	370	25
4	1321	25
5	3344	25
6	6115	25
7	6954	25
8	7018	25
9	7043	25
10	7809	25
0	8899	25

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (1.2%)

Memory

12.4MiB live, 12.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	1.1601500574906174	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
accuracy	2.953110550811441	(-.f64 (.f64 x y) (.f64 y y))
accuracy	26.373940003711837	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Samples

29.0ms	147×	0	valid
13.0ms	106×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

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

ival-sub: 23.0ms (68.5% of total)

ival-mult: 6.0ms (17.9% of total)

adjust: 2.0ms (6% of total)

ival-add: 2.0ms (6% of total)

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

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

series6.0ms (0.2%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

4 → 16

Calls

Call 1

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

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

Calls

9 calls:

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

simplify95.0ms (2.4%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	104
1	149	80
2	416	80
3	1314	80
4	3473	80
5	5137	80
6	7214	80
7	7797	80
0	8038	80

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite218.0ms (5.6%)

Memory

-13.1MiB live, 48.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	30
1	70	22
2	726	22
0	9117	20

Stop Event

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

Counts

4 → 270

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 y x #s(literal 0 binary64)) y) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 (-.f64 x y) y)))
(*.f64 (/.f64 (fma.f64 y x #s(literal 0 binary64)) y) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 y (-.f64 x y))))
(*.f64 (/.f64 (fma.f64 y x #s(literal 0 binary64)) y) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 (-.f64 x y) y)))
(*.f64 y (-.f64 (-.f64 x y) y))
(*.f64 y (+.f64 (-.f64 x y) y))
(*.f64 y (+.f64 y (-.f64 x y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y x #s(literal 0 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y x #s(literal 0 binary64)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64))))) (fma.f64 y x #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y)))) (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y))))) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y)))))) (fma.f64 y x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y (+.f64 x y) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 y (+.f64 x y)) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y x #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y x #s(literal 0 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y x #s(literal 0 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y x #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y x #s(literal 0 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (+.f64 x y)) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (.f64 (.f64 y y) (*.f64 (-.f64 x y) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y)))) (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y)))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y))))) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y))))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (+.f64 x y)) (*.f64 (neg.f64 y) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))) (fma.f64 (neg.f64 y) x #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y y (.f64 (-.f64 x y) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y x #s(literal 0 binary64))) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 x y) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y))) (.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x y) y) (*.f64 y y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) y) #s(literal 2 binary64))) (fma.f64 y y (.f64 (-.f64 x y) (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal 0 binary64)))))
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(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 (neg.f64 y) (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 y (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 y (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (neg.f64 y) (+.f64 x y))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) y) (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) y) (/.f64 y (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (.f64 (neg.f64 y) x) y) (/.f64 (.f64 (neg.f64 y) x) (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (.f64 (fabs.f64 x) y) y) (/.f64 (.f64 (fabs.f64 x) y) (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (.f64 y x) (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y x)) (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) y) (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 y y) (/.f64 (.f64 x (.f64 y x)) (+.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 y x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 y x))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 y x))
(fma.f64 (neg.f64 y) y (*.f64 y x))
(fma.f64 y (neg.f64 y) (*.f64 y x))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) y))
(fma.f64 y x (*.f64 (neg.f64 y) y))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) y))
(fma.f64 x y (*.f64 (neg.f64 y) y))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(-.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) x))
(-.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(-.f64 (.f64 y x) (.f64 y y))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 x y))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 x (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (.f64 (neg.f64 y) y) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 (neg.f64 y))) y))
(+.f64 (.f64 y x) (.f64 (neg.f64 y) y))
(*.f64 y x)
(*.f64 x y)

eval31.0ms (0.8%)

Memory: -5.4MiB live, 24.6MiB allocated
Compiler: Compiled 8 639 to 931 computations (89.2% saved)

prune3.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	275	2	277

Accuracy

100.0%

Counts

277 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
▶	52.4%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

Compiler

Compiled 41 to 24 computations (41.5% saved)

simplify187.0ms (4.8%)

Memory

2.8MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) y)
cost-diff	0	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	60
0	19	56
1	41	48
2	143	44
3	393	40
4	1413	40
5	3544	40
6	6342	40
7	7139	40
8	7219	40
9	7244	40
0	8012	40

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y

Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y

localize49.0ms (1.2%)

Memory

-16.3MiB live, 14.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x z)
accuracy	0.0	(*.f64 (-.f64 x z) y)
accuracy	0.0	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
accuracy	0.0	(*.f64 (neg.f64 z) y)
accuracy	0.0	(neg.f64 z)
accuracy	30.463797715406592	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

Samples

28.0ms	82×	1	valid
14.0ms	174×	0	valid

Compiler

Compiled 51 to 15 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 24.0ms (72.4% of total)

ival-sub: 4.0ms (12.1% of total)

adjust: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

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

series8.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

6 → 20

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) y)
(-.f64 x z)

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

Calls

9 calls:

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

simplify113.0ms (2.9%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	98
1	173	78
2	528	78
3	1540	78
4	2643	78
5	3202	78
6	3994	78
7	4270	78
8	5310	78
9	6422	78
10	7538	78
0	8014	78

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite206.0ms (5.2%)

Memory

-10.5MiB live, 47.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
0	19	51
1	90	43
2	842	43
0	8560	41

Stop Event

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

Counts

6 → 34

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) y)
(-.f64 x z)

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

eval4.0ms (0.1%)

Memory: 3.5MiB live, 3.5MiB allocated
Compiler: Compiled 1 378 to 159 computations (88.5% saved)

prune3.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	38	3	41

Accuracy

100.0%

Counts

41 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))

✓

52.4%

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

▶

57.6%

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Compiler

Compiled 60 to 35 computations (41.7% saved)

simplify173.0ms (4.4%)

Memory

-17.3MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	12	22
1	30	18
2	135	16
3	367	14
4	1318	14
5	3331	14
6	6083	14
7	6920	14
8	6982	14
9	7007	14
10	7772	14
0	8995	14

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
(*.f64 y x)
y
x

Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x

localize26.0ms (0.6%)

Memory

10.7MiB live, 10.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	27.11588117253606	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Samples

10.0ms	174×	0	valid
10.0ms	82×	1	valid

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (52.9% of total)

ival-sub: 3.0ms (22.7% of total)

adjust: 2.0ms (15.1% of total)

ival-add: 1.0ms (7.6% of total)

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

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

series3.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

2 → 10

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
(*.f64 y x)

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

Calls

9 calls:

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

simplify113.0ms (2.9%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	63
1	97	47
2	284	47
3	942	47
4	2387	47
5	3677	47
6	5081	47
7	5295	47
8	5412	47
9	5551	47
10	5728	47
0	8214	47

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite158.0ms (4%)

Memory

-21.1MiB live, 106.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
0	12	20
1	67	16
2	723	16
0	9117	15

Stop Event

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

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
(*.f64 y x)

Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)

eval1.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 121 to 22 computations (81.8% saved)

prune2.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

9 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))

✓

52.4%

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

✓

57.6%

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Compiler

Compiled 135 to 58 computations (57% saved)

regimes7.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

Outputs

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))

Calls

4 calls:

1.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Results

Accuracy	Segments	Branch
61.8%	3	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`
78.5%	3	`x`
66.2%	5	`y`
82.8%	3	`z`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes7.0ms (0.2%)

Memory

-25.5MiB live, 8.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Calls

4 calls:

1.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Results

Accuracy	Segments	Branch
57.6%	1	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`
57.6%	1	`y`
57.6%	1	`x`
57.6%	1	`z`

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch23.0ms (0.6%)

Memory

-7.2MiB live, 24.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	8616259747125633.0	9386673912752896.0
16.0ms	-1.274569643664591e+19	-17298160308255.43

Samples

8.0ms	72×	1	valid
5.0ms	104×	0	valid

Compiler

Compiled 447 to 290 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (44.8% of total)

ival-sub: 2.0ms (22.4% of total)

adjust: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

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

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

simplify68.0ms (1.7%)

Memory

12.3MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	80
1	52	64
2	164	56
3	532	48
4	2976	48
5	5336	48
6	7882	48

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))

(if (<=.f64 z #s(literal -96000000000000000 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 9000000000000000 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))))

#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(if (<=.f64 z #s(literal -96000000000000000 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 9000000000000000 binary64)) #s(approx (- (+ (- ( x y) (* y y)) (* y y)) (* y z)) (.f64 y x)) #s(approx (- (+ (- ( x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))))
(if (or (<=.f64 z #s(literal -96000000000000000 binary64)) (not (<=.f64 z #s(literal 9000000000000000 binary64)))) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.f64 (neg.f64 z) y)) #s(approx (- (+ (- ( x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

soundness877.0ms (22.3%)

Memory

21.8MiB live, 176.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	98
1	173	78
2	528	78
3	1540	78
4	2643	78
5	3202	78
6	3994	78
7	4270	78
8	5310	78
9	6422	78
10	7538	78
0	8014	78
0	48	104
1	149	80
2	416	80
3	1314	80
4	3473	80
5	5137	80
6	7214	80
7	7797	80
0	8038	80

Stop Event

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

Compiler

Compiled 111 to 52 computations (53.2% saved)

preprocess43.0ms (1.1%)

Memory: -9.0MiB live, 75.5MiB allocated
Remove: (negabs y)
Compiler: Compiled 258 to 100 computations (61.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample954.0ms (24.2%)

explain122.0ms (3.1%)

preprocess173.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify208.0ms (5.3%)

localize49.0ms (1.2%)

series6.0ms (0.2%)

simplify95.0ms (2.4%)

rewrite218.0ms (5.6%)

eval31.0ms (0.8%)

prune3.0ms (0.1%)

simplify187.0ms (4.8%)

localize49.0ms (1.2%)

series8.0ms (0.2%)

simplify113.0ms (2.9%)

rewrite206.0ms (5.2%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

simplify173.0ms (4.4%)

localize26.0ms (0.6%)

series3.0ms (0.1%)

simplify113.0ms (2.9%)

rewrite158.0ms (4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes7.0ms (0.2%)

bsearch23.0ms (0.6%)

simplify68.0ms (1.7%)

soundness877.0ms (22.3%)

preprocess43.0ms (1.1%)

end0.0ms (0%)

Profiling