Metrics for Linear.V3:cross from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample784.0ms (20%)

Memory

36.9MiB live, 978.2MiB allocated

Samples

513.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-mult: 248.0ms (79.3% of total)

ival-sub: 56.0ms (17.9% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain85.0ms (2.2%)

Memory

-20.4MiB live, 73.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(-.f64 (.f64 x y) (.f64 z t))`
0	-	-	`y`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x y) (.f64 z t))`	nan-rescue	3	0
↳	`(*.f64 x y)`	overflow	22
↳	`(*.f64 z t)`	overflow	24

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (71.7% of total)

ival-sub: 2.0ms (20.5% of total)

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

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

preprocess36.0ms (0.9%)

Memory

-8.1MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))

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

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify10.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.8%)

Memory

-12.7MiB live, 23.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z t)
accuracy	0	(*.f64 x y)
accuracy	0.7578063074906174	(-.f64 (.f64 x y) (.f64 z t))

Samples

28.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (77.7% of total)

ival-sub: 1.0ms (15.5% of total)

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

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

series7.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 13

Calls

Call 1

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

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

Calls

12 calls:

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

simplify115.0ms (2.9%)

Memory

16.0MiB live, 95.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	80
1	141	80
2	387	80
3	1312	80
4	3799	80
5	6110	80
0	8008	80

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite191.0ms (4.9%)

Memory

-2.6MiB live, 223.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8325	13

Stop Event

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

Counts

3 → 230

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 (.f64 t z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 t z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 t z (.f64 y x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 t z (.f64 y x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 t z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 t z (.f64 y x)) (*.f64 t z))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) (-.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 t) z (.f64 y x)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (fma.f64 t z (.f64 y x))) (pow.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (fma.f64 t z (.f64 y x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 t z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 (.f64 t z) #s(literal 9 binary64))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 t z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 t) z) (*.f64 y x))))
(.f64 (-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))))
(.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))))) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 t z (.f64 y x)))))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 2 binary64))) (fma.f64 t z (*.f64 y x)))))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 (.f64 t z) #s(literal 9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 t) z) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 t) z) (.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))))) (/.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 t z (.f64 y x)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (.f64 (fma.f64 t z (.f64 y x)) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 t z) #s(literal 4 binary64)) (.f64 (fma.f64 t z (.f64 y x)) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (fma.f64 t z (.f64 y x)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (.f64 (fma.f64 t z (.f64 y x)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 t z) #s(literal 9 binary64)) (.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 t z (.f64 y x))) (/.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 t z (.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 2 binary64)))) (fma.f64 t z (.f64 y x))) (/.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 2 binary64)))) (fma.f64 t z (.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 t (.f64 y x)) (neg.f64 z))))) (/.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 t (.f64 y x)) (neg.f64 z))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 t (.f64 y x)) (neg.f64 z))))) (/.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 t (.f64 y x)) (neg.f64 z))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 t (.f64 y x)) (neg.f64 z))))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 t (.f64 y x)) (neg.f64 z))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 t z) x) y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 t z (.f64 y x)))) (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (neg.f64 (fma.f64 t z (.f64 y x)))))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 t z))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 t z) (.f64 y x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (.f64 y x) (.f64 t z))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 t) z (.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(+.f64 (.f64 (neg.f64 t) z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (neg.f64 t) z))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64)))
(*.f64 t z)
(*.f64 z t)
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 t z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 t z)))

eval26.0ms (0.7%)

Memory: 18.5MiB live, 54.7MiB allocated
Compiler: Compiled 9 749 to 667 computations (93.2% saved)

prune9.0ms (0.2%)

Memory

-32.1MiB live, 15.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	231	3	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	232	3	235

Accuracy

100.0%

Counts

235 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (neg.f64 z) t (*.f64 y x))
▶	99.6%	(fma.f64 y x (*.f64 (neg.f64 t) z))
▶	52.9%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))

Compiler

Compiled 26 to 24 computations (7.7% saved)

simplify11.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	22	53
1	39	53
2	47	53
3	64	53
4	86	53
5	113	53
6	176	53
7	235	53
8	288	53
9	317	53
10	333	53
0	333	53

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (1.1%)

Memory

20.6MiB live, 94.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	0.5039007452111204	(fma.f64 (neg.f64 z) t (*.f64 y x))
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	0.2539034976055602	(fma.f64 y x (*.f64 (neg.f64 t) z))
accuracy	0	(*.f64 (neg.f64 z) t)
accuracy	0	(neg.f64 z)
accuracy	30.149030429720433	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))

Samples

34.0ms

256×

valid

Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (68.5% of total)

ival-add: 2.0ms (11.4% of total)

ival-neg: 2.0ms (11.4% of total)

ival-sub: 1.0ms (5.7% of total)

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

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

series8.0ms (0.2%)

Memory

-28.5MiB live, 10.9MiB allocated

Counts

8 → 18

Calls

Call 1

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

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

Calls

12 calls:

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

simplify254.0ms (6.5%)

Memory

-32.9MiB live, 129.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	109
1	185	109
2	495	109
3	1587	109
4	3614	109
5	5373	109
6	5943	109
7	5987	109
8	6005	109
9	6009	109
10	7052	109
0	8848	109

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

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

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

rewrite160.0ms (4.1%)

Memory

-12.3MiB live, 144.1MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	41
0	22	41
1	84	41
2	493	41
3	5945	33
0	9475	33

Stop Event

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

Counts

8 → 412

Calls

Call 1

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

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 t z))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 t z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(.f64 #s(literal 1 binary64) (.f64 t z))
(.f64 #s(literal -1 binary64) (.f64 t z))
(.f64 (.f64 t z) #s(literal -1 binary64))
(*.f64 t z)
(*.f64 z t)
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 t #s(literal 3 binary64)) z) (.f64 t t))
(/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) t) (.f64 z z))
(/.f64 (.f64 t (pow.f64 z #s(literal 3 binary64))) (.f64 z z))
(/.f64 (.f64 z (pow.f64 t #s(literal 3 binary64))) (.f64 t t))
(/.f64 (.f64 (.f64 z z) (pow.f64 t #s(literal 3 binary64))) (.f64 (.f64 t t) z))
(/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 t t)) (.f64 (.f64 z z) t))
(/.f64 (.f64 (.f64 t t) (pow.f64 z #s(literal 3 binary64))) (.f64 (.f64 z z) t))
(/.f64 (.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 z z)) (.f64 (.f64 t t) z))
(/.f64 (.f64 (.f64 t t) z) t)
(/.f64 (.f64 (.f64 z z) t) z)
(/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 t z)))))
(/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))
(/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (.f64 t z))
(neg.f64 (*.f64 t z))
(-.f64 #s(literal 0 binary64) (*.f64 t z))
(exp.f64 (.f64 (log.f64 (.f64 t z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 t z)))
(+.f64 #s(literal 0 binary64) (*.f64 t z))
(*.f64 #s(literal 1 binary64) z)
(.f64 (.f64 z z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 z #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))
(/.f64 (*.f64 z z) z)
(/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(neg.f64 z)
(fma.f64 #s(literal 1 binary64) z #s(literal 0 binary64))
(fma.f64 (*.f64 z z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) z)
(+.f64 z #s(literal 0 binary64))
z
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) (-.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 t z) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (.f64 (fma.f64 t z (.f64 y x)) (*.f64 y x))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 y x)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (pow.f64 (.f64 t z) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))
(.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (.f64 (fma.f64 t z (.f64 y x)) (.f64 y x))))
(.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))) (fma.f64 t z (.f64 y x)))
(.f64 (/.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 t z (.f64 y x))))
(.f64 (/.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (fma.f64 t z (.f64 y x)))
(.f64 (/.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 t z (.f64 y x)) (neg.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 t z (.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 t z (*.f64 y x)))))
(.f64 (/.f64 (fma.f64 t z (.f64 y x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (/.f64 (fma.f64 t z (.f64 y x)) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 t z (.f64 y x))) (neg.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))))
(.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 t z (.f64 y x)))
(.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (.f64 (fma.f64 t z (.f64 y x)) (*.f64 y x))) #s(literal -1 binary64)))
(.f64 (fma.f64 t z (.f64 y x)) (/.f64 (neg.f64 (fma.f64 t z (.f64 y x))) (neg.f64 (fma.f64 t z (.f64 y x)))))
(.f64 (fma.f64 t z (.f64 y x)) (.f64 (neg.f64 (fma.f64 t z (.f64 y x))) (/.f64 #s(literal -1 binary64) (fma.f64 t z (*.f64 y x)))))
(.f64 (fma.f64 t z (.f64 y x)) #s(literal 1 binary64))
(.f64 (neg.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 t z (*.f64 y x))))
(.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 t z (.f64 y x))))
(.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (/.f64 (fma.f64 t z (.f64 y x)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64)))))
(.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (.f64 (fma.f64 t z (.f64 y x)) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 t z (*.f64 y x))))
(/.f64 (/.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64))) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 t z (.f64 y x)))) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 t z (.f64 y x)))) (+.f64 (pow.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 4 binary64))))
(/.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64))) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 (.f64 t z) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 t z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 t z) x) y) #s(literal 3 binary64))))
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(fma.f64 (.f64 (.f64 z z) t) (/.f64 t (neg.f64 (fma.f64 t z (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 (.f64 (.f64 z z) t) (/.f64 t (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 t z) (neg.f64 (.f64 (neg.f64 y) x)))
(fma.f64 #s(literal 1 binary64) (.f64 t z) (.f64 y x))
(fma.f64 (.f64 z z) (/.f64 (.f64 t t) (neg.f64 (fma.f64 t z (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 (.f64 z z) (/.f64 (.f64 t t) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 (.f64 t t) (/.f64 (.f64 z z) (neg.f64 (fma.f64 t z (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 (.f64 t t) (/.f64 (.f64 z z) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 t z) (neg.f64 (.f64 (neg.f64 y) x)))
(fma.f64 #s(literal -1 binary64) (.f64 t z) (.f64 y x))
(fma.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (.f64 y x))))))
(fma.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (.f64 y x))))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y x) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))))))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(fma.f64 (.f64 t z) (/.f64 (.f64 t z) (neg.f64 (fma.f64 t z (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 (.f64 t z) (/.f64 (.f64 t z) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 (.f64 t z) #s(literal -1 binary64) (neg.f64 (.f64 (neg.f64 y) x)))
(fma.f64 (.f64 t z) #s(literal -1 binary64) (.f64 y x))
(fma.f64 t (/.f64 (.f64 (.f64 z z) t) (neg.f64 (fma.f64 t z (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 t (/.f64 (.f64 (.f64 z z) t) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 t z (neg.f64 (*.f64 (neg.f64 y) x)))
(fma.f64 t z (*.f64 y x))
(fma.f64 z (/.f64 (.f64 (.f64 t t) z) (neg.f64 (fma.f64 t z (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 z (/.f64 (.f64 (.f64 t t) z) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(fma.f64 z t (neg.f64 (*.f64 (neg.f64 y) x)))
(fma.f64 z t (*.f64 y x))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(fma.f64 y x (*.f64 t z))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(fma.f64 x y (*.f64 t z))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 t z))
(-.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 t z (*.f64 y x))))
(-.f64 (.f64 y x) (.f64 t z))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 (.f64 y x) #s(literal 0 binary64)) (.f64 t z))
(+.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (.f64 y x))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 y x) (pow.f64 (.f64 t z) #s(literal 2 binary64))))))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 t z) (neg.f64 (.f64 (neg.f64 y) x)))
(+.f64 (.f64 t z) (.f64 y x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval44.0ms (1.1%)

Memory: 7.6MiB live, 42.6MiB allocated
Compiler: Compiled 5 961 to 663 computations (88.9% saved)

prune6.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	269	2	271
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	269	5	274

Accuracy

100.0%

Counts

274 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 z) t (*.f64 y x))
✓	99.6%	(fma.f64 y x (*.f64 (neg.f64 t) z))
▶	49.2%	(fma.f64 y x (*.f64 t z))
✓	52.9%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
▶	3.6%	#s(approx (- (* x y) (* z t)) (*.f64 z t))

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify14.0ms (0.4%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	15	29
1	24	29
2	36	29
3	48	29
4	70	29
5	106	29
6	161	29
7	232	29
8	301	29
9	339	29
10	367	29
11	369	29
0	369	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1.5%)

Memory

-35.0MiB live, 49.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x (*.f64 t z))
accuracy	0	(*.f64 t z)
accuracy	0	(*.f64 z t)
accuracy	61.665865675047606	#s(approx (- (* x y) (* z t)) (*.f64 z t))

Samples

50.0ms

256×

valid

Compiler

Compiled 57 to 23 computations (59.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sub: 12.0ms (60.9% of total)

ival-mult: 7.0ms (35.5% of total)

ival-add: 1.0ms (5.1% of total)

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

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

series4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

4 → 22

Calls

Call 1

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

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

Calls

12 calls:

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

simplify221.0ms (5.6%)

Memory

13.5MiB live, 168.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	143
1	227	143
2	674	143
3	1968	143
4	4177	143
5	6156	143
6	7085	143
7	7124	143
8	7142	143
9	7146	143
10	7747	143
0	9261	134

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite217.0ms (5.5%)

Memory

-0.7MiB live, 198.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
0	15	23
1	56	23
2	287	23
3	3594	23
0	8817	23

Stop Event

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

Counts

4 → 286

Calls

Call 1

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

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 t z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 t z)
(*.f64 z t)
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 t z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 t z)))
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(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 t z (.f64 y x))))
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(+.f64 (.f64 y x) (.f64 (neg.f64 t) (neg.f64 z)))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) (neg.f64 t)))
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(+.f64 (.f64 y x) (.f64 t z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 t z)
(*.f64 z t)
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
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eval80.0ms (2%)

Memory: 20.1MiB live, 55.6MiB allocated
Compiler: Compiled 10 956 to 782 computations (92.9% saved)

prune28.0ms (0.7%)

Memory

-36.2MiB live, 15.9MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	283	1	284
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	285	4	289

Accuracy

100.0%

Counts

289 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 z) t (*.f64 y x))
✓	99.6%	(fma.f64 y x (*.f64 (neg.f64 t) z))
✓	52.9%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
▶	50.2%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 37 to 33 computations (10.8% saved)

simplify11.0ms (0.3%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	17	16
2	29	16
3	41	16
4	63	16
5	93	16
6	151	16
7	221	16
8	280	16
9	309	16
10	325	16
0	325	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.8%)

Memory

-7.7MiB live, 29.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y x)
accuracy	31.85925074423566	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Samples

28.0ms

256×

valid

Compiler

Compiled 30 to 19 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 20.0ms (94.5% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

series3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

2 → 12

Calls

Call 1

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

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

Calls

12 calls:

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

simplify118.0ms (3%)

Memory

-10.4MiB live, 108.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	77
1	141	77
2	387	77
3	1313	77
4	3795	77
5	6112	77
6	7995	77
0	8015	77

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite163.0ms (4.2%)

Memory

14.7MiB live, 205.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
0	10	14
1	30	14
2	207	14
3	1941	14
0	8365	14

Stop Event

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

Counts

2 → 10

Calls

Call 1

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

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 y x))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval1.0ms (0%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 176 to 42 computations (76.1% saved)

prune3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	13	4	17

Accuracy

100.0%

Counts

17 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 z) t (*.f64 y x))
✓	99.6%	(fma.f64 y x (*.f64 (neg.f64 t) z))
✓	52.9%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
✓	50.2%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 98 to 55 computations (43.9% saved)

regimes41.0ms (1%)

Memory

-15.6MiB live, 23.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

23.0ms	x
3.0ms	y
3.0ms	t
3.0ms	(-.f64 (.f64 x y) (.f64 z t))
3.0ms	z

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(-.f64 (.f64 x y) (.f64 z t))`
99.6%	1	`(*.f64 x y)`
99.6%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes17.0ms (0.4%)

Memory

29.7MiB live, 29.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`t`
98.8%	1	`(-.f64 (.f64 x y) (.f64 z t))`
98.8%	1	`(*.f64 x y)`
98.8%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes27.0ms (0.7%)

Memory

-3.8MiB live, 33.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

7 calls:

14.0ms	(*.f64 x y)
2.0ms	x
2.0ms	z
2.0ms	y
2.0ms	t

Results

Accuracy	Segments	Branch
75.4%	3	`x`
68.4%	3	`y`
72.4%	3	`z`
75.2%	3	`t`
61.7%	4	`(-.f64 (.f64 x y) (.f64 z t))`
80.8%	3	`(*.f64 x y)`
79.5%	3	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes70.0ms (1.8%)

Memory

-11.1MiB live, 80.0MiB allocated

Accuracy

Total -29.8b remaining (-93.6%)

Threshold costs -29.8b (-93.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

54.0ms	t
8.0ms	x
2.0ms	(*.f64 z t)
2.0ms	z
2.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
50.2%	1	`(-.f64 (.f64 x y) (.f64 z t))`
50.2%	1	`y`
50.2%	1	`z`
50.2%	1	`t`
50.2%	1	`x`
50.2%	1	`(*.f64 z t)`
50.2%	1	`(*.f64 x y)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.689041221980658e-10	1.4414336963162194e-9
0.0ms	-5.5626588874793275e-52	-3.558821554292035e-53

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify65.0ms (1.7%)

Memory

9.8MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	71
1	39	71
2	46	71
3	50	71
4	51	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 (neg.f64 t) z))
(-.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 x y) #s(literal -1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (- ( x y) (* z t)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 z) t)) #s(approx (- ( x y) (* z t)) (*.f64 y x))))
#s(approx (- (* x y) (* z t)) (*.f64 y x))

Outputs
(fma.f64 y x (*.f64 (neg.f64 t) z))
(fma.f64 y x (*.f64 (neg.f64 z) t))
(-.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 x y) #s(literal -1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (- ( x y) (* z t)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 z) t)) #s(approx (- ( x y) (* z t)) (*.f64 y x))))
(if (<=.f64 (.f64 x y) #s(literal -1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (- ( x y) (* z t)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 z) t)) #s(approx (- ( x y) (* z t)) (*.f64 x y))))
#s(approx (- (* x y) (* z t)) (*.f64 y x))
#s(approx (- (* x y) (* z t)) (*.f64 x y))

soundness863.0ms (22%)

Memory

-26.4MiB live, 330.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8325	13
0	42	80
1	141	80
2	387	80
3	1312	80
4	3799	80
5	6110	80
0	8008	80
0	63	143
1	227	143
2	674	143
3	1968	143
4	4177	143
5	6156	143
6	7085	143
7	7124	143
8	7142	143
9	7146	143
10	7747	143
0	9261	134
0	15	41
0	22	41
1	84	41
2	493	41
3	5945	33
0	9475	33

Stop Event

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

Compiler

Compiled 127 to 79 computations (37.8% saved)

preprocess66.0ms (1.7%)

Memory

29.2MiB live, 108.8MiB allocated

Remove

(sort z t)

(sort x y)

Compiler

Compiled 268 to 168 computations (37.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	15	53
0	22	53
1	39	53
2	47	53
3	64	53
4	86	53
5	113	53
6	176	53
7	235	53
8	288	53
9	317	53
10	333	53
0	333	53

Iter	Nodes	Cost
0	11	29
0	15	29
1	24	29
2	36	29
3	48	29
4	70	29
5	106	29
6	161	29
7	232	29
8	301	29
9	339	29
10	367	29
11	369	29
0	369	29

Iter	Nodes	Cost
0	9	16
0	10	16
1	17	16
2	29	16
3	41	16
4	63	16
5	93	16
6	151	16
7	221	16
8	280	16
9	309	16
10	325	16
0	325	16

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	15	53
0	22	53
1	39	53
2	47	53
3	64	53
4	86	53
5	113	53
6	176	53
7	235	53
8	288	53
9	317	53
10	333	53
0	333	53

Iter	Nodes	Cost
0	11	29
0	15	29
1	24	29
2	36	29
3	48	29
4	70	29
5	106	29
6	161	29
7	232	29
8	301	29
9	339	29
10	367	29
11	369	29
0	369	29

Iter	Nodes	Cost
0	9	16
0	10	16
1	17	16
2	29	16
3	41	16
4	63	16
5	93	16
6	151	16
7	221	16
8	280	16
9	309	16
10	325	16
0	325	16

start0.0ms (0%)

analyze0.0ms (0%)

sample784.0ms (20%)

explain85.0ms (2.2%)

preprocess36.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.3%)

localize32.0ms (0.8%)

series7.0ms (0.2%)

simplify115.0ms (2.9%)

rewrite191.0ms (4.9%)

eval26.0ms (0.7%)

prune9.0ms (0.2%)

simplify11.0ms (0.3%)

localize43.0ms (1.1%)

series8.0ms (0.2%)

simplify254.0ms (6.5%)

rewrite160.0ms (4.1%)

eval44.0ms (1.1%)

prune6.0ms (0.2%)

simplify14.0ms (0.4%)

localize60.0ms (1.5%)

series4.0ms (0.1%)

simplify221.0ms (5.6%)

rewrite217.0ms (5.5%)

eval80.0ms (2%)

prune28.0ms (0.7%)

simplify11.0ms (0.3%)

localize32.0ms (0.8%)

series3.0ms (0.1%)

simplify118.0ms (3%)

rewrite163.0ms (4.2%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes41.0ms (1%)

regimes17.0ms (0.4%)

regimes27.0ms (0.7%)

regimes70.0ms (1.8%)

bsearch1.0ms (0%)

simplify65.0ms (1.7%)

soundness863.0ms (22%)

preprocess66.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	15	53
0	22	53
1	39	53
2	47	53
3	64	53
4	86	53
5	113	53
6	176	53
7	235	53
8	288	53
9	317	53
10	333	53
0	333	53

Iter	Nodes	Cost
0	11	29
0	15	29
1	24	29
2	36	29
3	48	29
4	70	29
5	106	29
6	161	29
7	232	29
8	301	29
9	339	29
10	367	29
11	369	29
0	369	29

Iter	Nodes	Cost
0	9	16
0	10	16
1	17	16
2	29	16
3	41	16
4	63	16
5	93	16
6	151	16
7	221	16
8	280	16
9	309	16
10	325	16
0	325	16