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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample925.0ms (20.6%)

Memory

10.4MiB live, 991.7MiB allocated

Samples

358.0ms	5 771×	0	valid
294.0ms	2 437×	1	valid
7.0ms	48×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 446.0ms

ival-mult: 224.0ms (50.3% of total)

ival-sub: 92.0ms (20.6% of total)

ival-add: 69.0ms (15.5% of total)

adjust: 52.0ms (11.7% of total)

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

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

Bogosity

explain112.0ms (2.5%)

Memory

17.3MiB live, 79.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	nan-rescue	54	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	54
↳	`(*.f64 y z)`	overflow	31
↳	`(*.f64 x y)`	overflow	32
↳	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	overflow	78
↳	`(*.f64 y y)`	overflow	59
↳	`(*.f64 y y)`	overflow	59
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	cancellation	39	0
`-.f64`	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	nan-rescue	16	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	54
↳	`(*.f64 y z)`	overflow	31
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 y y)`	overflow	59
`-.f64`	`(-.f64 (.f64 x y) (.f64 y z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 y z)`	overflow	31

Confusion

	Predicted +	Predicted -
+	98	0
-	0	158

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	158
1	84
2	12
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms	348×	0	valid
20.0ms	162×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 109 to 31 computations (71.6% saved)

Precisions

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

ival-mult: 12.0ms (49.4% of total)

ival-sub: 5.0ms (20.6% of total)

adjust: 3.0ms (12.3% of total)

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

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

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

preprocess340.0ms (7.6%)

Memory

-1.9MiB live, 159.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	141	68
2	638	47
3	1508	47
4	5943	47
0	9	15
0	15	15
1	31	7
2	129	5
3	321	5
4	899	5
5	3813	5
6	6233	5
0	8130	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

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.8%	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify313.0ms (7%)

Memory

-11.6MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	2	(-.f64 (.f64 x y) (.f64 y z))
cost-diff	2	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
cost-diff	6	(+.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	129	29
3	321	29
4	899	29
5	3813	29
6	6233	29
0	8130	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)

localize26.0ms (0.6%)

Memory

12.3MiB live, 12.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	1.1601500574906174	(-.f64 (.f64 x y) (.f64 y z))
accuracy	3.3984209866416464	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
accuracy	21.42008302449341	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Samples

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

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

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

ival-mult: 6.0ms (51.5% of total)

ival-sub: 3.0ms (25.7% of total)

adjust: 2.0ms (17.2% of total)

ival-add: 1.0ms (8.6% of total)

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

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

series7.0ms (0.2%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

4 → 22

Calls

Call 1

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

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

Calls

9 calls:

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

simplify311.0ms (6.9%)

Memory

-35.3MiB live, 87.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	185
1	205	151
2	612	133
3	2239	133
4	5341	133
0	8168	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 z) y) 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 z) y) 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 z) y) y)
(* y (- x z))
(*.f64 (-.f64 x z) y)
(* y (- (+ x (* -1 y)) z))
(*.f64 (-.f64 (-.f64 x z) y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ x y) (+ 1 (/ z y))))
(.f64 (.f64 y y) (-.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 x) (* -1 z))))
(*.f64 (-.f64 x z) y)
(* (pow y 2) (- (* -1 (/ (- (* -1 x) (* -1 z)) y)) 1))
(.f64 (.f64 y y) (-.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)))
(+ (* -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 z) y) y)
(* z (- (/ (* x y) z) y))
(*.f64 (-.f64 x z) y)
(* z (- (/ (* x y) z) (+ y (/ (pow y 2) z))))
(*.f64 (-.f64 (-.f64 x z) y) 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 z) y) y)

rewrite175.0ms (3.9%)

Memory

8.6MiB live, 106.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	36
1	68	24
2	696	22
0	8937	21

Stop Event

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

Counts

4 → 203

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

eval25.0ms (0.6%)

Memory: 2.0MiB live, 30.1MiB allocated
Compiler: Compiled 6 407 to 720 computations (88.8% saved)

prune3.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	2	212

Accuracy

100.0%

Counts

212 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 41 to 24 computations (41.5% saved)

simplify233.0ms (5.2%)

Memory

5.5MiB live, 101.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	60
0	19	60
1	39	44
2	133	40
3	338	40
4	963	40
5	4229	40
6	6932	40
0	8259	40

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

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

localize36.0ms (0.8%)

Memory

-16.7MiB live, 14.4MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

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

Compiler

Compiled 51 to 15 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (46.9% of total)

ival-sub: 6.0ms (31.2% of total)

adjust: 2.0ms (10.4% of total)

ival-add: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% of total)

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

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

series8.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

6 → 20

Calls

Call 1

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

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

Calls

9 calls:

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

simplify118.0ms (2.6%)

Memory

1.8MiB live, 58.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	98
1	173	78
2	528	78
3	1536	78
4	2639	78
5	3199	78
6	3993	78
7	4269	78
8	5309	78
9	6421	78
10	7537	78
0	8013	78

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite184.0ms (4.1%)

Memory

16.5MiB live, 83.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	55
0	19	55
1	88	39
2	810	35
0	9666	35

Stop Event

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

Counts

6 → 219

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

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

eval26.0ms (0.6%)

Memory: 2.4MiB live, 30.8MiB allocated
Compiler: Compiled 8 412 to 752 computations (91.1% saved)

prune7.0ms (0.2%)

Memory

-19.5MiB live, 10.0MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	223	3	226

Accuracy

100.0%

Counts

226 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

52.4%

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

▶

57.6%

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

Compiler

Compiled 60 to 35 computations (41.7% saved)

simplify405.0ms (9%)

Memory

8.9MiB live, 141.6MiB 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	126	14
3	319	14
4	897	14
5	3811	14
6	6255	14
0	8156	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

localize100.0ms (2.2%)

Memory

-11.1MiB live, 62.6MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

84.0ms	81×	1	valid
10.0ms	174×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 82.0ms (93.3% of total)

ival-sub: 3.0ms (3.4% of total)

adjust: 2.0ms (2.3% of total)

ival-add: 1.0ms (1.1% of total)

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

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

series3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

2 → 10

Calls

Call 1

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

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

Calls

9 calls:

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

simplify114.0ms (2.5%)

Memory

-0.2MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	63
1	97	47
2	284	47
3	942	47
4	2388	47
5	3675	47
6	5079	47
7	5293	47
8	5410	47
9	5552	47
10	5739	47
0	8214	47

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite114.0ms (2.5%)

Memory

5.9MiB live, 35.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
0	12	22
1	65	14
2	693	14
0	8938	13

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

prune2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

9 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

52.4%

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

✓

57.6%

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

Compiler

Compiled 135 to 58 computations (57% saved)

regimes97.0ms (2.1%)

Memory

-31.3MiB live, 6.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

91.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
2.0ms	x
2.0ms	z
2.0ms	y

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes5.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch22.0ms (0.5%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

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

Samples

8.0ms	72×	1	valid
5.0ms	104×	0	valid

Compiler

Compiled 447 to 290 computations (35.1% saved)

Precisions

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

ival-mult: 4.0ms (45.4% of total)

ival-sub: 2.0ms (22.7% of total)

adjust: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

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

simplify132.0ms (2.9%)

Memory

-18.2MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	88
1	50	56
2	153	48
3	518	48
4	2700	48
5	6066	48

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

soundness619.0ms (13.8%)

Memory

37.8MiB live, 156.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	98
1	173	78
2	528	78
3	1536	78
4	2639	78
5	3199	78
6	3993	78
7	4269	78
8	5309	78
9	6421	78
10	7537	78
0	8013	78
0	70	185
1	205	151
2	612	133
3	2239	133
4	5341	133
0	8168	133

Stop Event

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

Compiler

Compiled 111 to 52 computations (53.2% saved)

preprocess30.0ms (0.7%)

Memory: -17.8MiB live, 45.9MiB allocated
Remove: (negabs y)
Compiler: Compiled 258 to 100 computations (61.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample925.0ms (20.6%)

explain112.0ms (2.5%)

preprocess340.0ms (7.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify313.0ms (7%)

localize26.0ms (0.6%)

series7.0ms (0.2%)

simplify311.0ms (6.9%)

rewrite175.0ms (3.9%)

eval25.0ms (0.6%)

prune3.0ms (0.1%)

simplify233.0ms (5.2%)

localize36.0ms (0.8%)

series8.0ms (0.2%)

simplify118.0ms (2.6%)

rewrite184.0ms (4.1%)

eval26.0ms (0.6%)

prune7.0ms (0.2%)

simplify405.0ms (9%)

localize100.0ms (2.2%)

series3.0ms (0.1%)

simplify114.0ms (2.5%)

rewrite114.0ms (2.5%)

eval1.0ms (0%)

prune2.0ms (0%)

regimes97.0ms (2.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch22.0ms (0.5%)

simplify132.0ms (2.9%)

soundness619.0ms (13.8%)

preprocess30.0ms (0.7%)

end0.0ms (0%)

Profiling