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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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)

sample1.0s (24.1%)

Memory

29.2MiB live, 1 121.4MiB allocated

Samples

376.0ms	5 767×	0	valid
353.0ms	2 441×	1	valid
8.0ms	48×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 482.0ms

ival-mult: 276.0ms (57.2% of total)

ival-sub: 95.0ms (19.7% of total)

adjust: 55.0ms (11.4% of total)

ival-add: 48.0ms (9.9% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain132.0ms (3.2%)

Memory

-17.7MiB live, 120.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
89	-	-	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`
16	-	-	`(+.f64 (.f64 x y) (.f64 y y))`
8	-	-	`(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 y z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`	nan-rescue	50	0
↳	`(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))`	overflow	78
↳	`(+.f64 (.f64 x y) (.f64 y y))`	overflow	65
↳	`(*.f64 y z)`	overflow	31
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 y y)`	overflow	59
`-.f64`	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`	cancellation	39	0
`+.f64`	`(+.f64 (.f64 x y) (.f64 y y))`	nan-rescue	16	0
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 y y)`	overflow	59
`-.f64`	`(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))`	nan-rescue	8	0
↳	`(+.f64 (.f64 x y) (.f64 y y))`	overflow	65
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 y z)`	overflow	31

Confusion

	Predicted +	Predicted -
+	98	0
-	0	158

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	98	0	0
-	0	0	158

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	158
1	84
2	13
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms	162×	1	valid
21.0ms	348×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 109 to 31 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 12.0ms (49.3% of total)

ival-sub: 5.0ms (20.5% of total)

adjust: 4.0ms (16.4% of total)

ival-add: 3.0ms (12.3% of total)

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

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

preprocess437.0ms (10.5%)

Memory

18.3MiB live, 210.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	121
1	152	92
2	581	82
3	1941	63
4	5168	47
0	9	15
0	15	13
1	33	11
2	112	9
3	326	7
4	967	5
5	2245	5
6	5974	5
0	8003	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 z)) (.f64 y y))

Outputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(*.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
▶	62.8%	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify261.0ms (6.3%)

Memory

2.9MiB live, 123.7MiB 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 x y) (.f64 y y)) (*.f64 y z))
cost-diff	6	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	15	39
1	33	35
2	112	33
3	326	31
4	967	29
5	2245	29
6	5974	29
0	8003	29

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

localize29.0ms (0.7%)

Memory

4.0MiB live, 31.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	2.742181307490618	(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))
accuracy	2.8476459291510294	(+.f64 (.f64 x y) (.f64 y y))
accuracy	21.064628723681967	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Samples

13.0ms	81×	1	valid
10.0ms	174×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

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

ival-mult: 8.0ms (56% of total)

ival-sub: 3.0ms (21% of total)

adjust: 2.0ms (14% of total)

ival-add: 1.0ms (7% of total)

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

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

series7.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

4 → 26

Calls

Call 1

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

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

Calls

9 calls:

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

simplify121.0ms (2.9%)

Memory

-5.2MiB live, 55.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	199
1	242	175
2	797	171
3	2952	171
4	7151	171
0	8052	168

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

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

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

rewrite240.0ms (5.8%)

Memory

-26.5MiB live, 67.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	30
1	70	26
2	704	26
0	8815	25

Stop Event

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

Counts

4 → 250

Calls

Call 1

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

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

eval31.0ms (0.8%)

Memory: -7.7MiB live, 22.7MiB allocated
Compiler: Compiled 8 902 to 926 computations (89.6% saved)

prune4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	259	2	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	260	2	262

Accuracy

100.0%

Counts

262 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 41 to 24 computations (41.5% saved)

simplify187.0ms (4.5%)

Memory

-22.4MiB live, 102.8MiB 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 z)) (* y y)) (*.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 z)) (* y y)) (*.f64 (neg.f64 z) y))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	60
0	19	56
1	41	52
2	117	48
3	347	44
4	1092	40
5	2452	40
6	6458	40
7	7257	40
8	7587	40
9	7597	40
10	7645	40
11	7651	40
0	8044	40

Stop Event

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

Calls

Call 1

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

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

localize34.0ms (0.8%)

Memory

14.1MiB live, 14.1MiB 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 z)) (* y y)) (*.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 z)) (* y y)) (*.f64 (neg.f64 z) y))

Samples

14.0ms	174×	0	valid
12.0ms	81×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 51 to 15 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (52.7% of total)

ival-sub: 4.0ms (23.4% of total)

adjust: 2.0ms (11.7% of total)

ival-add: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% 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 z)) (* y y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.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 z)) (* y y)) (* (neg z) y) (neg z) (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* (- x z) y) (- x z))
1.0ms	y	@	-inf	((- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* (neg z) y) (neg z) (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* (- x z) y) (- x z))
1.0ms	y	@	0	((- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* (neg z) y) (neg z) (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* (- x z) y) (- x z))
1.0ms	z	@	inf	((- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* (neg z) y) (neg z) (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* (- x z) y) (- x z))
1.0ms	y	@	inf	((- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* (neg z) y) (neg z) (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* (- x z) y) (- x z))

simplify141.0ms (3.4%)

Memory

-7.6MiB live, 57.9MiB 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)

rewrite182.0ms (4.4%)

Memory

10.4MiB live, 97.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
0	19	51
1	90	47
2	819	47
0	8519	47

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

Outputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.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 z)) (* y y)) (*.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: 3.6MiB live, 3.6MiB 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 z)) (* y y)) (*.f64 (-.f64 x z) y))

✓

52.4%

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

▶

57.6%

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

Compiler

Compiled 60 to 35 computations (41.7% saved)

simplify237.0ms (5.7%)

Memory

10.8MiB live, 135.9MiB 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 z)) (* y y)) (*.f64 y x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	12	22
1	30	20
2	109	18
3	323	16
4	962	14
5	2241	14
6	5966	14
0	8043	14

Stop Event

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

Calls

Call 1

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

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

localize186.0ms (4.5%)

Memory

-38.8MiB live, 10.9MiB 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 z)) (* y y)) (*.f64 y x))

Samples

124.0ms	81×	1	valid
56.0ms	174×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 167.0ms (96.7% of total)

ival-sub: 3.0ms (1.7% of total)

adjust: 2.0ms (1.2% of total)

ival-add: 1.0ms (0.6% 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 z)) (* y y)) (*.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 z)) (* y y)) (* y x))
0.0ms	x	@	-inf	((- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* y x))
0.0ms	y	@	inf	((- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* y x))
0.0ms	y	@	0	((- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* y x))
0.0ms	x	@	0	((- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (* y x))

simplify118.0ms (2.8%)

Memory

6.6MiB live, 61.7MiB 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)

rewrite135.0ms (3.3%)

Memory

8.9MiB live, 79.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
0	12	20
1	67	18
2	701	18
0	8814	17

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

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

✓

52.4%

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

✓

57.6%

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

Compiler

Compiled 135 to 58 computations (57% saved)

regimes7.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes12.0ms (0.3%)

Memory

-24.4MiB live, 6.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

8.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Results

Accuracy	Segments	Branch
60.8%	3	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`
78.5%	3	`x`
66.2%	5	`y`
82.8%	3	`z`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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 z)) (* y y)) (*.f64 y x))

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

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch23.0ms (0.5%)

Memory

13.3MiB live, 13.3MiB 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 (44.2% of total)

ival-sub: 2.0ms (22.1% of total)

adjust: 2.0ms (22.1% of total)

ival-add: 1.0ms (11.1% of total)

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

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

simplify77.0ms (1.9%)

Memory

-19.6MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	80
1	52	72
2	136	64
3	354	56
4	1007	48
5	2740	48

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

soundness509.0ms (12.2%)

Memory

-6.4MiB live, 92.8MiB 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	75	199
1	242	175
2	797	171
3	2952	171
4	7151	171
0	8052	168

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)

preprocess26.0ms (0.6%)

Memory: 19.4MiB live, 19.4MiB 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%)

analyze1.0ms (0%)

sample1.0s (24.1%)

explain132.0ms (3.2%)

preprocess437.0ms (10.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify261.0ms (6.3%)

localize29.0ms (0.7%)

series7.0ms (0.2%)

simplify121.0ms (2.9%)

rewrite240.0ms (5.8%)

eval31.0ms (0.8%)

prune4.0ms (0.1%)

simplify187.0ms (4.5%)

localize34.0ms (0.8%)

series8.0ms (0.2%)

simplify141.0ms (3.4%)

rewrite182.0ms (4.4%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

simplify237.0ms (5.7%)

localize186.0ms (4.5%)

series3.0ms (0.1%)

simplify118.0ms (2.8%)

rewrite135.0ms (3.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes12.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch23.0ms (0.5%)

simplify77.0ms (1.9%)

soundness509.0ms (12.2%)

preprocess26.0ms (0.6%)

end0.0ms (0%)

Profiling