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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample796.0ms (19.1%)

Memory

21.5MiB live, 286.4MiB allocated

Samples

289.0ms	5 771×	0	valid
262.0ms	2 437×	1	valid
7.0ms	48×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-mult: 188.0ms (50% of total)

ival-sub: 87.0ms (23.1% of total)

adjust: 49.0ms (13% of total)

ival-add: 45.0ms (12% of total)

ival-true: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain110.0ms (2.6%)

Memory

-5.8MiB live, 59.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
93	-	-	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
16	-	-	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
5	-	-	`(-.f64 (.f64 x 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 z)) (.f64 y y)) (.f64 y y))`	nan-rescue	54	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	54
↳	`(*.f64 y z)`	overflow	31
↳	`(*.f64 x y)`	overflow	32
↳	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	overflow	78
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 y y)`	overflow	59
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	cancellation	39	0
`-.f64`	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	nan-rescue	16	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	54
↳	`(*.f64 y z)`	overflow	31
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 y y)`	overflow	59
`-.f64`	`(-.f64 (.f64 x y) (.f64 y z))`	nan-rescue	5	0
↳	`(*.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	12
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

22.456787109375

Average Time

0.0877218246459961

Samples

20.0ms	348×	0	valid
20.0ms	162×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 154 to 40 computations (74% saved)

Precisions

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

ival-mult: 12.0ms (50.3% of total)

ival-sub: 5.0ms (21% of total)

adjust: 3.0ms (12.6% of total)

ival-add: 3.0ms (12.6% of total)

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

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

preprocess402.0ms (9.7%)

Memory

-5.0MiB live, 68.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	157	68
2	493	47
3	1466	47
4	4433	47
5	6356	47
6	7458	47
7	7880	47
8	7880	47
9	7880	47
0	9	15
0	15	15
1	31	7
2	84	5
3	203	5
4	653	5
5	2719	5
6	4293	5
7	4957	5
8	5213	5
9	5326	5
10	5371	5
11	6626	5
12	6836	5
13	7040	5
14	7040	5
15	7452	5
16	7658	5
17	7658	5
18	7658	5
19	7760	5
20	7760	5
0	9258	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 z)) (.f64 y y)) (.f64 y y))

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

Compiler

Compiled 15 to 9 computations (40% saved)

simplify329.0ms (7.9%)

Memory

-1.4MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	320	(-.f64 (.f64 x y) (.f64 y z))
cost-diff	320	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
cost-diff	704	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	15	37
1	31	31
2	84	29
3	203	29
4	653	29
5	2719	29
6	4293	29
7	4957	29
8	5213	29
9	5326	29
10	5371	29
11	6626	29
12	6836	29
13	7040	29
14	7040	29
15	7452	29
16	7658	29
17	7658	29
18	7658	29
19	7760	29
20	7760	29
0	9258	29

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (2.2%)

Memory

-8.9MiB live, 11.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	1.1601500574906174	(-.f64 (.f64 x y) (.f64 y z))
accuracy	3.3984209866416464	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
accuracy	21.42008302449341	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Samples

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

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

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

ival-mult: 6.0ms (52.1% of total)

ival-sub: 3.0ms (26.1% of total)

adjust: 2.0ms (17.4% of total)

ival-add: 1.0ms (8.7% of total)

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

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

series7.0ms (0.2%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

4 → 22

Calls

Call 1

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

Outputs
(* -1 (* y z))
(- (* x y) (* y z))
(* -1 (+ (* y z) (pow y 2)))
(- (* x y) (+ (* y z) (pow y 2)))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (+ (* y z) (pow y 2)) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (+ (/ (* y z) x) (/ (pow y 2) x)))))
(* y (- x z))
(* y (- (+ x (* -1 y)) z))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) (+ 1 (/ z y))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* (pow y 2) (- (* -1 (/ (- (* -1 x) (* -1 z)) y)) 1))
(+ (* -1 (* y z)) (* x y))
(- (* x y) (pow y 2))
(- (+ (* -1 (* y z)) (* x y)) (pow y 2))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) (+ y (/ (pow y 2) z))))
(* -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 z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	y	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	y	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	x	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	x	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))

simplify90.0ms (2.2%)

Memory

0.9MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	185
1	214	137
2	583	133
3	2224	133
4	6806	133
0	8129	133

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

rewrite169.0ms (4.1%)

Memory

4.2MiB live, 68.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	28
1	68	22
2	637	20
0	8283	20

Stop Event

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

Counts

4 → 866

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 y y) z) (-.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 y y) z) (+.f64 z x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 y y) z) (+.f64 z x))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 y y) z) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y y) z) (+.f64 z x)) (-.f64 (.f64 (.f64 (.f64 y y) z) (+.f64 z x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (*.f64 y (-.f64 (-.f64 x z) y))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (neg.f64 (.f64 (-.f64 x z) y)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 y (-.f64 (-.f64 x z) y)) (*.f64 (-.f64 x z) y) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y y))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y y))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y y))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y y))) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (-.f64 (-.f64 x z) y)) #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))) (.f64 (-.f64 x z) y))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (.f64 (-.f64 x z) y))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)))) (fma.f64 (.f64 y (-.f64 (-.f64 x z) y)) (*.f64 (-.f64 x z) y) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x z) y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)))) (/.f64 (.f64 (-.f64 x z) y) (pow.f64 (fma.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 (-.f64 x z) y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (+.f64 z x) y) y) (/.f64 (*.f64 (-.f64 x z) y) (+.f64 z x)))
(*.f64 (-.f64 x z) y)
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y)))))
(.f64 (pow.f64 (.f64 (+.f64 z x) y) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 (-.f64 x z) y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))
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(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y (-.f64 (-.f64 x z) y)) (*.f64 (-.f64 x z) y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y (-.f64 (-.f64 x z) y)) (/.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x z) y))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) y) (+.f64 z x))))
(fma.f64 (.f64 y y) #s(literal -1 binary64) (.f64 y (+.f64 y (-.f64 x z))))
(fma.f64 (.f64 y y) #s(literal -1 binary64) (.f64 y (-.f64 (-.f64 x z) y)))
(fma.f64 (.f64 (-.f64 x z) y) (/.f64 (.f64 (-.f64 x z) y) (*.f64 (-.f64 x z) y)) #s(literal 0 binary64))
(fma.f64 (.f64 (-.f64 x z) y) (.f64 (.f64 (-.f64 x z) y) (pow.f64 (.f64 (-.f64 x z) y) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 z y) #s(literal -1 binary64) (-.f64 (.f64 y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 z y) #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (.f64 z y) #s(literal -1 binary64) (.f64 y x))
(fma.f64 z (neg.f64 y) (-.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 z (neg.f64 y) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 z (neg.f64 y) (*.f64 y x))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) y) (+.f64 z x))))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) y) (+.f64 z x))))
(fma.f64 y (-.f64 (-.f64 x z) (neg.f64 y)) (*.f64 (neg.f64 y) y))
(fma.f64 y (-.f64 (-.f64 x z) y) (*.f64 (neg.f64 y) y))
(fma.f64 y (-.f64 (-.f64 x z) y) (*.f64 y y))
(fma.f64 y (-.f64 x (+.f64 z y)) (*.f64 (neg.f64 y) y))
(fma.f64 y (-.f64 x (+.f64 z y)) (*.f64 y y))
(fma.f64 y (+.f64 y (-.f64 x z)) (*.f64 (neg.f64 y) y))
(fma.f64 y (+.f64 (-.f64 x z) y) (*.f64 (neg.f64 y) y))
(fma.f64 y (fma.f64 #s(literal -1 binary64) z x) #s(literal 0 binary64))
(fma.f64 y (+.f64 y x) (*.f64 (neg.f64 y) (+.f64 z y)))
(fma.f64 y (fma.f64 #s(literal -1 binary64) y (-.f64 x z)) (*.f64 (neg.f64 y) y))
(fma.f64 y (fma.f64 #s(literal -1 binary64) y (-.f64 x z)) (*.f64 y y))
(fma.f64 y (+.f64 (-.f64 x z) (neg.f64 y)) (*.f64 (neg.f64 y) y))
(fma.f64 y (+.f64 (-.f64 x z) (neg.f64 y)) (*.f64 y y))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(fma.f64 y (neg.f64 z) (-.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 y (neg.f64 z) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y (neg.f64 z) (*.f64 y x))
(fma.f64 y (neg.f64 y) (*.f64 y (+.f64 y (-.f64 x z))))
(fma.f64 y (neg.f64 y) (*.f64 y (-.f64 (-.f64 x z) y)))
(fma.f64 y y (*.f64 y (-.f64 (-.f64 x z) y)))
(fma.f64 y x (-.f64 (.f64 (neg.f64 y) (+.f64 z y)) (.f64 y y)))
(fma.f64 y x (-.f64 (.f64 y (fma.f64 #s(literal -1 binary64) z y)) (.f64 y y)))
(fma.f64 y x (fma.f64 (neg.f64 y) (+.f64 z y) (*.f64 (neg.f64 y) y)))
(fma.f64 y x (fma.f64 y (fma.f64 #s(literal -1 binary64) z y) (*.f64 (neg.f64 y) y)))
(fma.f64 y x (fma.f64 y (-.f64 (neg.f64 z) y) (*.f64 y y)))
(fma.f64 y x (*.f64 (neg.f64 z) y))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (.f64 (+.f64 z x) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) y) (+.f64 z x))))
(fma.f64 x y (-.f64 (.f64 (neg.f64 y) (+.f64 z y)) (.f64 y y)))
(fma.f64 x y (-.f64 (.f64 y (fma.f64 #s(literal -1 binary64) z y)) (.f64 y y)))
(fma.f64 x y (fma.f64 (neg.f64 y) (+.f64 z y) (*.f64 (neg.f64 y) y)))
(fma.f64 x y (fma.f64 y (fma.f64 #s(literal -1 binary64) z y) (*.f64 (neg.f64 y) y)))
(fma.f64 x y (fma.f64 y (-.f64 (neg.f64 z) y) (*.f64 y y)))
(fma.f64 x y (*.f64 (neg.f64 z) y))
(-.f64 (-.f64 (.f64 y (+.f64 y x)) (.f64 y y)) (*.f64 z y))
(-.f64 (fma.f64 y (-.f64 (-.f64 x z) y) #s(literal 0 binary64)) (*.f64 y y))
(-.f64 (fma.f64 y (+.f64 y (-.f64 x z)) #s(literal 0 binary64)) (*.f64 y y))
(-.f64 (fma.f64 y y (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (.f64 y (+.f64 y (-.f64 x z))))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y (+.f64 y (-.f64 x z)))))
(-.f64 (fma.f64 y y (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 z y))
(-.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 (*.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y)))) (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (-.f64 (.f64 y y) (*.f64 y (-.f64 (-.f64 x z) y)))))
(-.f64 (.f64 y (+.f64 y x)) (.f64 (+.f64 z y) y))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (.f64 y (+.f64 y (-.f64 x z)))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (+.f64 y (-.f64 x z)))) (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (.f64 y (+.f64 y (-.f64 x z)))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (+.f64 y (-.f64 x z)))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (.f64 y (+.f64 y (-.f64 x z)))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (+.f64 y (-.f64 x z)))) (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (.f64 y y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (+.f64 z x)) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) y) (+.f64 z x)) #s(literal 0 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (+.f64 z x)) (-.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) y) (+.f64 z x)) #s(literal 0 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (+.f64 z x)) (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) y) (+.f64 z x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x z) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z y) (.f64 y x)))
(-.f64 (.f64 y (+.f64 y (-.f64 x z))) (.f64 y y))
(-.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y y))
(-.f64 (.f64 (-.f64 x z) y) (-.f64 (.f64 y y) (*.f64 (neg.f64 y) y)))
(-.f64 (.f64 (-.f64 x z) y) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))))
(-.f64 (.f64 (-.f64 x z) y) (/.f64 #s(literal 0 binary64) (.f64 (-.f64 x z) y)))
(-.f64 (*.f64 (-.f64 x z) y) #s(literal 0 binary64))
(-.f64 (.f64 y x) (fma.f64 y (-.f64 z y) (.f64 y y)))
(-.f64 (.f64 y x) (-.f64 (.f64 (+.f64 z y) y) (*.f64 (neg.f64 y) y)))
(-.f64 (.f64 y x) (-.f64 (.f64 y (-.f64 z y)) (*.f64 (neg.f64 y) y)))
(-.f64 (.f64 y x) (-.f64 (.f64 z y) #s(literal 0 binary64)))
(-.f64 (.f64 y x) (.f64 z y))
(+.f64 (.f64 y (+.f64 y x)) (.f64 (neg.f64 y) (+.f64 z y)))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) y) (+.f64 z x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) y) (+.f64 z x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x z) y))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 x z) y))
(+.f64 (.f64 y (+.f64 y (-.f64 x z))) (.f64 (neg.f64 y) y))
(+.f64 (.f64 (neg.f64 y) y) (.f64 y (+.f64 y (-.f64 x z))))
(+.f64 (.f64 (neg.f64 y) y) (.f64 y (-.f64 (-.f64 x z) y)))
(+.f64 (.f64 (neg.f64 z) y) (-.f64 (.f64 y x) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 z) y) (fma.f64 y x #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 z) y) (.f64 y x))
(+.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 (neg.f64 y) y))
(+.f64 (.f64 y (-.f64 (-.f64 x z) y)) (.f64 y y))
(+.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y)))
(+.f64 (*.f64 (-.f64 x z) y) #s(literal 0 binary64))
(+.f64 (.f64 y x) (-.f64 (.f64 (neg.f64 y) (+.f64 z y)) (*.f64 y y)))
(+.f64 (.f64 y x) (-.f64 (.f64 y (fma.f64 #s(literal -1 binary64) z y)) (*.f64 y y)))
(+.f64 (.f64 y x) (fma.f64 (neg.f64 y) (+.f64 z y) (.f64 (neg.f64 y) y)))
(+.f64 (.f64 y x) (fma.f64 y (fma.f64 #s(literal -1 binary64) z y) (.f64 (neg.f64 y) y)))
(+.f64 (.f64 y x) (fma.f64 y (-.f64 (neg.f64 z) y) (.f64 y y)))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) y))
(*.f64 y x)
(*.f64 x y)

eval51.0ms (1.2%)

Memory: 0.8MiB live, 40.8MiB allocated
Compiler: Compiled 15 678 to 1 241 computations (92.1% saved)

prune6.0ms (0.1%)

Memory

-4.6MiB live, 18.7MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	522	2	524
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	523	2	525

Accuracy

100.0%

Counts

525 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 25 to 17 computations (32% saved)

simplify325.0ms (7.8%)

Memory

8.0MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	18	39
1	43	31
2	95	29
3	216	29
4	643	29
5	2650	29
6	4169	29
7	4766	29
8	5021	29
9	5134	29
10	5178	29
11	6433	29
12	6643	29
13	6847	29
14	6847	29
15	7259	29
16	7465	29
17	7465	29
18	7465	29
19	7567	29
20	7567	29
0	9060	29

Stop Event

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

Calls

Call 1

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

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

localize33.0ms (0.8%)

Memory

-4.4MiB live, 13.3MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 (-.f64 x z) y)
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	30.463797715406592	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))

Samples

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

Compiler

Compiled 75 to 29 computations (61.3% saved)

Precisions

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

ival-mult: 8.0ms (47.8% of total)

ival-sub: 4.0ms (23.9% of total)

adjust: 2.0ms (11.9% of total)

ival-add: 1.0ms (6% of total)

ival-neg: 1.0ms (6% of total)

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

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

series8.0ms (0.2%)

Memory

-3.6MiB live, 3.9MiB allocated

Counts

5 → 20

Calls

Call 1

Inputs
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(*.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 z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z))
1.0ms	y	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z))
1.0ms	y	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z))
1.0ms	z	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z))
1.0ms	y	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z))

simplify163.0ms (3.9%)

Memory

7.0MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	98
1	170	78
2	449	78
3	1348	78
4	2836	78
5	3989	78
6	4773	78
7	5388	78
8	5605	78
9	5721	78
10	6310	78
11	6624	78
12	6624	78
13	6624	78
14	6624	78
0	8088	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)

rewrite188.0ms (4.5%)

Memory

1.0MiB live, 56.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	34
0	18	34
1	92	26
2	780	24
0	9141	24

Stop Event

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

Counts

5 → 393

Calls

Call 1

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

Outputs
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
(.f64 (.f64 y #s(literal -1 binary64)) z)
(*.f64 (neg.f64 y) z)
(.f64 #s(literal -1 binary64) (.f64 z y))
(*.f64 (neg.f64 z) y)
(.f64 (.f64 z y) #s(literal -1 binary64))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(/.f64 (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) y) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 z) z) y) z)
(/.f64 (*.f64 y (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 (neg.f64 z) z)) z)
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (neg.f64 z) y))
(/.f64 (-.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 z) y) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 z y)))
(/.f64 (pow.f64 (.f64 (neg.f64 z) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 z y)))))
(neg.f64 (*.f64 z y))
(fma.f64 (*.f64 y #s(literal -1 binary64)) z #s(literal 0 binary64))
(fma.f64 (neg.f64 y) z #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 z y) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) y (*.f64 (neg.f64 z) y))
(fma.f64 (neg.f64 z) y #s(literal 0 binary64))
(fma.f64 (*.f64 z y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 z (neg.f64 y) #s(literal 0 binary64))
(fma.f64 y (neg.f64 z) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 (*.f64 (neg.f64 z) y) #s(literal 0 binary64))
(+.f64 (.f64 #s(literal 0 binary64) y) (.f64 (neg.f64 z) y))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y))
(+.f64 (*.f64 (neg.f64 z) y) #s(literal 0 binary64))
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 z) z) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) (.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 z z) (neg.f64 z))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(.f64 (/.f64 (.f64 (-.f64 x z) y) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)))) (/.f64 (.f64 (-.f64 x z) y) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y))) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y (+.f64 z x)) y) (/.f64 (*.f64 (-.f64 x z) y) (+.f64 z x)))
(.f64 (.f64 (+.f64 z x) (*.f64 (-.f64 x z) y)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 y (+.f64 z x)) (-.f64 x z)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y)))))
(.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) y))
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z)))))
(.f64 (.f64 (.f64 (neg.f64 y) (+.f64 z x)) (.f64 (-.f64 x z) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (+.f64 z x))))
(.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(.f64 (neg.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 x z) y))))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y))) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))))))
(.f64 (.f64 y (+.f64 z x)) (.f64 (.f64 (-.f64 x z) y) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 (.f64 y (+.f64 z x)) y) (-.f64 x z)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) y))
(.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 x z) y) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) (fma.f64 x x (.f64 z z))) (.f64 (.f64 (.f64 z x) y) (neg.f64 y)))))
(.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)) y))
(.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y))) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 x z) y) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y))) (pow.f64 (*.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 (-.f64 x z) y)) (*.f64 (-.f64 x z) y)))))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y))) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 x z) y)
(.f64 (.f64 (-.f64 x z) y) (.f64 (.f64 (-.f64 x z) y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64))))
(*.f64 y (-.f64 x z))
(pow.f64 (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 z y) #s(literal 4 binary64))) (pow.f64 (.f64 y (+.f64 z x)) #s(literal -1 binary64))) (.f64 (.f64 y y) (fma.f64 x x (*.f64 z z))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 6 binary64))) (pow.f64 (.f64 y (+.f64 z x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 z y) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 z y) x) y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 (.f64 z y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 z y) x) y) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 z x)) (-.f64 x z)) y) (neg.f64 (+.f64 z x)))
(/.f64 (.f64 (neg.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 (.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (.f64 (-.f64 x z) y) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (.f64 (-.f64 x z) y) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y))) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 9 binary64)) (pow.f64 y #s(literal 18 binary64))) (pow.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y))) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 (.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x z) y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 (.f64 y (.f64 (neg.f64 (+.f64 z x)) (-.f64 x z))) (neg.f64 (+.f64 z x)))
(/.f64 (.f64 y (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 (.f64 (.f64 y (+.f64 z x)) y) (-.f64 x z)) #s(literal 1 binary64)) (*.f64 y (+.f64 z x)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 y (-.f64 (-.f64 x z) y))) (pow.f64 (.f64 y (-.f64 (-.f64 x z) y)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x)))) (.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x))))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x)))))
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eval38.0ms (0.9%)

Memory: 2.1MiB live, 32.1MiB allocated
Compiler: Compiled 9 410 to 1 018 computations (89.2% saved)

prune6.0ms (0.1%)

Memory

0.3MiB live, 14.9MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	398	1	399
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	398	3	401

Accuracy

100.0%

Counts

401 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x z) y)
✓	52.4%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
▶	57.6%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify344.0ms (8.3%)

Memory

-0.4MiB live, 62.3MiB 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 z)) (* y y)) (* y y)) (*.f64 y x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	12	24
1	28	16
2	81	14
3	203	14
4	653	14
5	2687	14
6	4257	14
7	4918	14
8	5169	14
9	5282	14
10	5327	14
11	6582	14
12	6792	14
13	6996	14
14	6996	14
15	7408	14
16	7614	14
17	7614	14
18	7614	14
19	7716	14
20	7716	14
0	9214	14

Stop Event

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

Calls

Call 1

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

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

localize26.0ms (0.6%)

Memory

-1.7MiB live, 9.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y x)
accuracy	27.11588117253606	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Samples

10.0ms	174×	0	valid
9.0ms	81×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 46 to 23 computations (50% saved)

Precisions

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

ival-mult: 7.0ms (55.2% of total)

ival-sub: 3.0ms (23.7% of total)

adjust: 2.0ms (15.8% of total)

ival-add: 1.0ms (7.9% 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 z)) (* y y)) (* 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 z)) (* y y)) (* y y)) (* y x))
0.0ms	x	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))
0.0ms	y	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))
0.0ms	x	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))
0.0ms	y	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))

simplify114.0ms (2.7%)

Memory

-1.9MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	63
1	100	47
2	261	47
3	877	47
4	2498	47
5	3845	47
6	4492	47
7	5371	47
8	5504	47
9	5611	47
10	6463	47
0	8120	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)

rewrite128.0ms (3.1%)

Memory

8.9MiB live, 43.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	22
0	12	22
1	65	14
2	634	12
0	8266	12

Stop Event

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

Counts

2 → 3

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: -11.8MiB live, 0.6MiB allocated
Compiler: Compiled 121 to 22 computations (81.8% saved)

prune2.0ms (0%)

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%	(*.f64 (-.f64 x z) y)
✓	52.4%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
✓	57.6%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 103 to 50 computations (51.5% saved)

regimes8.0ms (0.2%)

Memory

-1.0MiB live, 6.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes6.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-2.0MiB live, 5.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch21.0ms (0.5%)

Memory

-0.6MiB live, 7.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	8616259747125633.0	9386673912752896.0
15.0ms	-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 (46.6% of total)

ival-sub: 2.0ms (23.3% of total)

adjust: 1.0ms (11.6% of total)

ival-add: 1.0ms (11.6% of total)

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

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

simplify66.0ms (1.6%)

Memory

-5.8MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	91
1	32	91
2	41	91
3	48	91
4	51	91
5	52	91

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

soundness591.0ms (14.2%)

Memory

-5.4MiB live, 2.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	185
1	214	137
2	583	133
3	2224	133
4	6806	133
0	8129	133
0	52	98
1	170	78
2	449	78
3	1348	78
4	2836	78
5	3989	78
6	4773	78
7	5388	78
8	5605	78
9	5721	78
10	6310	78
11	6624	78
12	6624	78
13	6624	78
14	6624	78
0	8088	78
0	9	36
0	15	28
1	68	22
2	637	20
0	8283	20

Stop Event

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

Compiler

Compiled 136 to 56 computations (58.8% saved)

preprocess28.0ms (0.7%)

Memory: 4.3MiB live, 19.8MiB allocated
Remove: (negabs y)
Compiler: Compiled 242 to 92 computations (62% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample796.0ms (19.1%)

explain110.0ms (2.6%)

preprocess402.0ms (9.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify329.0ms (7.9%)

localize91.0ms (2.2%)

series7.0ms (0.2%)

simplify90.0ms (2.2%)

rewrite169.0ms (4.1%)

eval51.0ms (1.2%)

prune6.0ms (0.1%)

simplify325.0ms (7.8%)

localize33.0ms (0.8%)

series8.0ms (0.2%)

simplify163.0ms (3.9%)

rewrite188.0ms (4.5%)

eval38.0ms (0.9%)

prune6.0ms (0.1%)

simplify344.0ms (8.3%)

localize26.0ms (0.6%)

series3.0ms (0.1%)

simplify114.0ms (2.7%)

rewrite128.0ms (3.1%)

eval2.0ms (0.1%)

prune2.0ms (0%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch21.0ms (0.5%)

simplify66.0ms (1.6%)

soundness591.0ms (14.2%)

preprocess28.0ms (0.7%)

end0.0ms (0%)

Profiling