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

0.8MiB live, 0.8MiB 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)

sample1.2s (23.7%)

Memory

-9.5MiB live, 1 607.3MiB allocated

Samples

437.0ms	5 792×	0	valid
310.0ms	2 412×	1	valid
8.0ms	52×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-mult: 207.0ms (47.7% of total)

ival-sub: 105.0ms (24.2% of total)

adjust: 60.0ms (13.8% of total)

ival-add: 53.0ms (12.2% of total)

ival-true: 6.0ms (1.4% of total)

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

Bogosity

explain125.0ms (2.5%)

Memory

19.1MiB live, 179.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
89	-	-	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
19	-	-	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
9	-	-	`(-.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	58	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	47
↳	`(*.f64 y z)`	overflow	28
↳	`(*.f64 x y)`	overflow	31
↳	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	overflow	77
↳	`(*.f64 y y)`	overflow	65
↳	`(*.f64 y y)`	overflow	65
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	cancellation	31	0
`-.f64`	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	nan-rescue	19	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	47
↳	`(*.f64 y z)`	overflow	28
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 y y)`	overflow	65
`-.f64`	`(-.f64 (.f64 x y) (.f64 y z))`	nan-rescue	9	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 y z)`	overflow	28

Confusion

	Predicted +	Predicted -
+	97	0
-	0	159

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	97	0	0
-	0	0	159

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	159
1	80
2	14
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms	358×	0	valid
20.0ms	154×	1	valid

Compiler

Compiled 154 to 40 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 13.0ms (50.8% of total)

ival-sub: 5.0ms (19.5% of total)

adjust: 3.0ms (11.7% of total)

ival-add: 3.0ms (11.7% of total)

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

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

preprocess448.0ms (9.1%)

Memory

6.3MiB live, 273.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	157	68
2	493	47
3	1518	47
4	4714	47
5	6645	47
6	7743	47
0	9	15
0	15	15
1	31	7
2	84	5
3	204	5
4	666	5
5	2734	5
6	4369	5
7	5041	5
8	5297	5
9	5410	5
10	5455	5
11	6710	5
12	6914	5
13	7118	5
14	7118	5
15	7530	5
16	7736	5
17	7736	5
18	7736	5
19	7838	5
20	7838	5
0	9336	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.7%	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify470.0ms (9.6%)

Memory

1.8MiB live, 284.0MiB 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	204	29
4	666	29
5	2734	29
6	4369	29
7	5041	29
8	5297	29
9	5410	29
10	5455	29
11	6710	29
12	6914	29
13	7118	29
14	7118	29
15	7530	29
16	7736	29
17	7736	29
18	7736	29
19	7838	29
20	7838	29
0	9336	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)

localize61.0ms (1.2%)

Memory

-5.4MiB live, 33.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	2.0156167433208236	(-.f64 (.f64 x y) (.f64 y z))
accuracy	4.242168922471853	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
accuracy	20.404234262314624	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Samples

43.0ms	77×	1	valid
11.0ms	179×	0	valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 39.0ms (86.9% of total)

ival-sub: 3.0ms (6.7% of total)

adjust: 2.0ms (4.5% of total)

ival-add: 1.0ms (2.2% of total)

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

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

series7.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB 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
2.0ms	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))

simplify268.0ms (5.5%)

Memory

-22.0MiB live, 117.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	185
1	214	137
2	599	133
3	2247	133
4	6961	133
0	8076	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)

rewrite285.0ms (5.8%)

Memory

10.5MiB live, 229.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	28
1	68	22
2	645	20
0	8374	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)

eval78.0ms (1.6%)

Memory: 6.3MiB live, 126.6MiB allocated
Compiler: Compiled 15 678 to 1 241 computations (92.1% saved)

prune10.0ms (0.2%)

Memory

-1.4MiB live, 34.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	521	3	524
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	522	3	525

Accuracy

100.0%

Counts

525 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 (neg.f64 z) y (*.f64 y x))
▶	100.0%	(*.f64 (-.f64 x z) y)
▶	55.6%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify650.0ms (13.3%)

Memory

3.6MiB live, 254.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(neg.f64 z)
cost-diff	320	(fma.f64 (neg.f64 z) y (*.f64 y x))
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	16	54
0	22	52
1	49	44
2	107	42
3	232	42
4	693	42
5	2806	42
6	4484	42
7	5056	42
8	5285	42
9	5391	42
10	5428	42
11	6635	42
12	6831	42
13	7027	42
14	7027	42
15	7423	42
16	7621	42
17	7621	42
18	7621	42
19	7719	42
20	7719	42
0	9163	42

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

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

localize81.0ms (1.7%)

Memory

-5.9MiB live, 68.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(neg.f64 z)
accuracy	1.261704988027801	(fma.f64 (neg.f64 z) y (*.f64 y x))
accuracy	0.0	(-.f64 x z)
accuracy	0.0078125	(*.f64 (-.f64 x z) y)
accuracy	0.0	(*.f64 (neg.f64 z) y)
accuracy	0.0	(neg.f64 z)
accuracy	28.444026049764023	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))

Samples

53.0ms	77×	1	valid
18.0ms	179×	0	valid

Compiler

Compiled 106 to 33 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-add: 40.0ms (68.8% of total)

ival-mult: 11.0ms (18.9% of total)

ival-sub: 4.0ms (6.9% of total)

adjust: 2.0ms (3.4% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series9.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

7 → 22

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

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))
(* y (+ x (* -1 z)))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (+ z (* -1 x))))
(+ 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) (+ (* (neg z) y) (* y x)) (* y x))
1.0ms	y	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z) (+ (* (neg z) y) (* y x)) (* y x))
1.0ms	y	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z) (+ (* (neg z) y) (* y x)) (* y x))
1.0ms	x	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z) (+ (* (neg z) y) (* y x)) (* y x))
1.0ms	y	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z) (+ (* (neg z) y) (* y x)) (* y x))

simplify195.0ms (4%)

Memory

-4.3MiB live, 78.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	112
1	190	88
2	490	88
3	1426	88
4	2965	88
5	4149	88
6	4964	88
7	5580	88
8	5789	88
9	5914	88
10	6503	88
11	6813	88
12	6813	88
13	6813	88
14	6813	88
0	8202	88

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

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))
(* y (+ x (* -1 z)))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (+ z (* -1 x))))
(+ 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)
(* y (+ x (* -1 z)))
(*.f64 (-.f64 x z) y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(*.f64 (-.f64 x z) y)
(* -1 (* y (+ z (* -1 x))))
(*.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)

rewrite225.0ms (4.6%)

Memory

8.6MiB live, 233.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	44
0	22	42
1	115	34
2	1011	32
0	8421	32

Stop Event

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

Counts

7 → 657

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

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

eval125.0ms (2.6%)

Memory: -8.2MiB live, 85.0MiB allocated
Compiler: Compiled 9 788 to 955 computations (90.2% saved)

prune28.0ms (0.6%)

Memory

-5.8MiB live, 32.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	397	0	397
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	397	3	400

Accuracy

100.0%

Counts

400 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(fma.f64 (neg.f64 z) y (*.f64 y x))
✓	100.0%	(*.f64 (-.f64 x z) y)
✓	55.6%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))

Compiler

Compiled 79 to 45 computations (43% saved)

regimes8.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
(*.f64 (-.f64 x z) y)
(fma.f64 (neg.f64 z) y (*.f64 y x))
(+.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	z
2.0ms	x
2.0ms	y
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)

regimes98.0ms (2%)

Memory

-24.4MiB live, 12.9MiB 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 (neg.f64 z) y))

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

Calls

4 calls:

94.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
55.6%	1	`x`
55.6%	1	`y`
55.6%	1	`z`
55.6%	1	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`

Compiler

Compiled 18 to 18 computations (0% saved)

simplify133.0ms (2.7%)

Memory

-8.9MiB live, 95.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	38	17
2	95	15
3	267	15
4	1227	15
5	2373	15
6	4978	15

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness376.0ms (7.7%)

Memory

-1.6MiB live, 161.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	185
1	214	137
2	599	133
3	2247	133
4	6961	133
0	8076	133
0	9	36
0	15	28
1	68	22
2	645	20
0	8374	20

Stop Event

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

Compiler

Compiled 56 to 30 computations (46.4% saved)

preprocess57.0ms (1.2%)

Memory: 8.4MiB live, 46.9MiB allocated
Remove: (negabs y)
Compiler: Compiled 100 to 66 computations (34% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (23.7%)

explain125.0ms (2.5%)

preprocess448.0ms (9.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify470.0ms (9.6%)

localize61.0ms (1.2%)

series7.0ms (0.2%)

simplify268.0ms (5.5%)

rewrite285.0ms (5.8%)

eval78.0ms (1.6%)

prune10.0ms (0.2%)

simplify650.0ms (13.3%)

localize81.0ms (1.7%)

series9.0ms (0.2%)

simplify195.0ms (4%)

rewrite225.0ms (4.6%)

eval125.0ms (2.6%)

prune28.0ms (0.6%)

regimes8.0ms (0.2%)

regimes98.0ms (2%)

simplify133.0ms (2.7%)

soundness376.0ms (7.7%)

preprocess57.0ms (1.2%)

end0.0ms (0%)

Profiling