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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.3s (20.3%)

Memory

-209.6MiB live, 1 519.5MiB allocated

Samples

598.0ms	5 752×	0	valid
302.0ms	2 462×	1	valid
7.0ms	42×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 690.0ms

ival-mult: 480.0ms (69.5% of total)

ival-sub: 97.0ms (14.1% of total)

adjust: 60.0ms (8.7% of total)

ival-add: 44.0ms (6.4% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain211.0ms (3.2%)

Memory

-18.5MiB live, 175.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
81	-	-	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
22	-	-	`(-.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	51	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	46
↳	`(*.f64 y z)`	overflow	25
↳	`(*.f64 x y)`	overflow	29
↳	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	overflow	69
↳	`(*.f64 y y)`	overflow	58
↳	`(*.f64 y y)`	overflow	58
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	cancellation	30	0
`-.f64`	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	nan-rescue	22	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	46
↳	`(*.f64 y z)`	overflow	25
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 y y)`	overflow	58
`-.f64`	`(-.f64 (.f64 x y) (.f64 y z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 y z)`	overflow	25

Confusion

	Predicted +	Predicted -
+	88	0
-	0	168

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	88	0	0
-	0	0	168

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	168
1	68
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	370×	0	valid
17.0ms	132×	1	valid
2.0ms	10×	2	valid

Compiler

Compiled 154 to 40 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 14.0ms (40.3% of total)

ival-mult: 12.0ms (34.5% of total)

ival-sub: 5.0ms (14.4% of total)

adjust: 3.0ms (8.6% of total)

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

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

preprocess474.0ms (7.2%)

Memory

8.7MiB live, 323.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	157	68
2	493	47
3	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify436.0ms (6.6%)

Memory

-0.2MiB live, 279.4MiB 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)

localize37.0ms (0.6%)

Memory

-9.4MiB live, 28.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	1.1601500574906176	(-.f64 (.f64 x y) (.f64 y z))
accuracy	4.253879415792676	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
accuracy	19.247981391979707	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Samples

11.0ms	185×	0	valid
8.0ms	66×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

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

ival-mult: 6.0ms (52.4% of total)

ival-sub: 3.0ms (26.2% of total)

adjust: 2.0ms (17.5% 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 (0.1%)

Memory

14.6MiB live, 14.6MiB 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	@	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	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))

simplify159.0ms (2.4%)

Memory

5.6MiB live, 170.5MiB 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)

rewrite419.0ms (6.4%)

Memory

8.1MiB live, 247.8MiB 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)

eval92.0ms (1.4%)

Memory: -30.5MiB live, 123.4MiB allocated
Compiler: Compiled 15 678 to 1 241 computations (92.1% saved)

prune8.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB 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
▶	98.8%	(fma.f64 y x (*.f64 (neg.f64 z) y))
▶	100.0%	(*.f64 (-.f64 x z) y)
▶	54.5%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify496.0ms (7.5%)

Memory

-7.5MiB live, 226.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	320	(fma.f64 y x (*.f64 (neg.f64 z) y))
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	15	55
0	21	53
1	47	45
2	105	43
3	232	43
4	689	43
5	2816	43
6	4510	43
7	5078	43
8	5305	43
9	5411	43
10	5448	43
11	6655	43
12	6851	43
13	7047	43
14	7047	43
15	7443	43
16	7641	43
17	7641	43
18	7641	43
19	7739	43
20	7739	43
0	9183	43

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

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

localize51.0ms (0.8%)

Memory

12.0MiB live, 95.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (neg.f64 z) y)
accuracy	0.0	(neg.f64 z)
accuracy	0.7499917428166807	(fma.f64 y x (*.f64 (neg.f64 z) y))
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	29.121981037161834	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))

Samples

25.0ms	185×	0	valid
15.0ms	66×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 108 to 32 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 17.0ms (57.5% of total)

ival-sub: 6.0ms (20.3% of total)

ival-add: 3.0ms (10.2% of total)

adjust: 2.0ms (6.8% of total)

ival-neg: 1.0ms (3.4% of total)

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

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

series49.0ms (0.7%)

Memory

-19.9MiB live, 16.0MiB allocated

Counts

6 → 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 y x (*.f64 (neg.f64 z) y))

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
42.0ms	z	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z) (+ (* y x) (* (neg z) y)))
1.0ms	y	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z) (+ (* y x) (* (neg z) y)))
1.0ms	y	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z) (+ (* y x) (* (neg z) y)))
1.0ms	y	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z) (+ (* y x) (* (neg z) y)))
1.0ms	z	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (* (- x z) y) (- x z) (+ (* y x) (* (neg z) y)))

simplify179.0ms (2.7%)

Memory

33.5MiB live, 105.8MiB 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)

rewrite420.0ms (6.4%)

Memory

6.3MiB live, 311.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	41
0	21	39
1	113	31
2	1008	29
0	9382	29

Stop Event

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

Counts

6 → 682

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

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

eval130.0ms (2%)

Memory: -25.4MiB live, 139.2MiB allocated
Compiler: Compiled 8 930 to 941 computations (89.5% saved)

prune10.0ms (0.2%)

Memory

-10.0MiB live, 26.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	432	1	433
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	432	4	436

Accuracy

100.0%

Counts

436 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 y x (*.f64 (neg.f64 z) y))
✓	100.0%	(*.f64 (-.f64 x z) y)
✓	54.5%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
▶	52.8%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 51 to 34 computations (33.3% saved)

simplify683.0ms (10.4%)

Memory

-15.3MiB live, 219.1MiB 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	204	14
4	657	14
5	2687	14
6	4312	14
7	4975	14
8	5233	14
9	5346	14
10	5391	14
11	6646	14
12	6850	14
13	7054	14
14	7054	14
15	7466	14
16	7672	14
17	7672	14
18	7672	14
19	7774	14
20	7774	14
0	9272	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

localize81.0ms (1.2%)

Memory

17.3MiB live, 54.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	30.210213319303264	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Samples

63.0ms	66×	1	valid
11.0ms	185×	0	valid
1.0ms	5×	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 (54.8% of total)

ival-sub: 3.0ms (23.5% of total)

adjust: 2.0ms (15.6% of total)

ival-add: 1.0ms (7.8% of total)

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

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

series3.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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	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))
0.0ms	x	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x))

simplify126.0ms (1.9%)

Memory

-10.1MiB live, 114.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	63
1	100	47
2	270	47
3	912	47
4	2624	47
5	4052	47
6	4772	47
7	5651	47
8	5784	47
9	5894	47
10	6764	47
0	8204	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)

rewrite346.0ms (5.3%)

Memory

16.2MiB live, 215.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	22
0	12	22
1	65	14
2	642	12
0	8360	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)

eval1.0ms (0%)

Memory: 1.8MiB live, 1.8MiB allocated
Compiler: Compiled 121 to 22 computations (81.8% saved)

prune4.0ms (0.1%)

Memory

-32.7MiB live, 6.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	6	4	10

Accuracy

100.0%

Counts

10 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 y x (*.f64 (neg.f64 z) y))
✓	100.0%	(*.f64 (-.f64 x z) y)
✓	54.5%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
✓	52.8%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 117 to 57 computations (51.3% saved)

regimes9.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

5 → 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)
(fma.f64 y x (*.f64 (neg.f64 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	z
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)

regimes6.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB 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	y
1.0ms	x
1.0ms	z
1.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

Accuracy	Segments	Branch
81.8%	3	`x`
62.5%	5	`y`
87.2%	3	`z`
61.4%	3	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-39.1MiB live, 10.0MiB 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	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

Accuracy	Segments	Branch
52.8%	1	`y`
52.8%	1	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
52.8%	1	`x`
52.8%	1	`z`

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch36.0ms (0.5%)

Memory

7.0MiB live, 45.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.663728171104945e-41	7.852119209537008e-19
12.0ms	-7.028286000359188e+54	-3.97297685144361e+52

Samples

13.0ms	205×	0	valid
9.0ms	83×	1	valid

Compiler

Compiled 720 to 465 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (41.2% of total)

ival-sub: 3.0ms (20.6% of total)

ival-add: 3.0ms (20.6% of total)

adjust: 2.0ms (13.7% of total)

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

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

simplify63.0ms (1%)

Memory

-0.9MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	72
1	49	48
2	106	42
3	276	42
4	1230	42
5	2374	42
6	4972	42

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 z #s(literal -559999999999999996203731257642511666818556727488675840 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 4120606786933239/664613997892457936451903530140172288 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)
(if (<=.f64 z #s(literal -559999999999999996203731257642511666818556727488675840 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 4120606786933239/664613997892457936451903530140172288 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))))
(if (or (<=.f64 z #s(literal -559999999999999996203731257642511666818556727488675840 binary64)) (not (<=.f64 z #s(literal 4120606786933239/664613997892457936451903530140172288 binary64)))) #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 y x))

soundness674.0ms (10.2%)

Memory

29.5MiB live, 308.1MiB 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
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
0	70	185
1	214	137
2	599	133
3	2247	133
4	6961	133
0	8076	133

Stop Event

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

Compiler

Compiled 117 to 57 computations (51.3% saved)

preprocess31.0ms (0.5%)

Memory: 0.8MiB live, 77.8MiB allocated
Remove: (negabs y)
Compiler: Compiled 194 to 84 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (20.3%)

explain211.0ms (3.2%)

preprocess474.0ms (7.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify436.0ms (6.6%)

localize37.0ms (0.6%)

series7.0ms (0.1%)

simplify159.0ms (2.4%)

rewrite419.0ms (6.4%)

eval92.0ms (1.4%)

prune8.0ms (0.1%)

simplify496.0ms (7.5%)

localize51.0ms (0.8%)

series49.0ms (0.7%)

simplify179.0ms (2.7%)

rewrite420.0ms (6.4%)

eval130.0ms (2%)

prune10.0ms (0.2%)

simplify683.0ms (10.4%)

localize81.0ms (1.2%)

series3.0ms (0%)

simplify126.0ms (1.9%)

rewrite346.0ms (5.3%)

eval1.0ms (0%)

prune4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch36.0ms (0.5%)

simplify63.0ms (1%)

soundness674.0ms (10.2%)

preprocess31.0ms (0.5%)

end0.0ms (0%)

Profiling