Metrics for Linear.V3:$cdot from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
100%	99.7%	0%	0.3%	0%	0%	0%	1

Compiler

Compiled 13 to 13 computations (0% saved)

sample1.2s (22.7%)

Memory

25.4MiB live, 1 245.7MiB allocated

Samples

773.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-mult: 223.0ms (69.9% of total)

ival-add: 87.0ms (27.3% of total)

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

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain138.0ms (2.6%)

Memory

12.0MiB live, 130.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`	nan-rescue	7	0
↳	`(*.f64 x y)`	overflow	34
↳	`(+.f64 (.f64 x y) (.f64 z t))`	overflow	64
↳	`(*.f64 z t)`	overflow	35
↳	`(*.f64 a b)`	overflow	37
`+.f64`	`(+.f64 (.f64 x y) (.f64 z t))`	nan-rescue	3	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z t)`	overflow	35

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 114 to 48 computations (57.9% saved)

Precisions

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

ival-mult: 10.0ms (67.6% of total)

ival-add: 4.0ms (27% of total)

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

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

preprocess105.0ms (2%)

Memory

10.3MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	315
1	222	301
2	379	297
3	791	297
4	1531	297
5	2394	297
6	2925	297
7	2973	297
8	2975	297
9	2975	297
10	2975	297
11	2975	297
0	11	11
0	16	11
1	23	11
2	30	11
3	32	11
0	32	9

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z t)
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) (.f64 z t))
cost-diff	128	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	16	33
1	23	33
2	30	33
3	32	33
0	32	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
(*.f64 a b)
a
b

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(fma.f64 b a (fma.f64 t z (*.f64 y x)))
(+.f64 (.f64 x y) (.f64 z t))
(fma.f64 t z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z t)
(*.f64 t z)
z
t
(*.f64 a b)
(*.f64 b a)
a
b

localize32.0ms (0.6%)

Memory

-21.6MiB live, 31.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(*.f64 a b)
accuracy	0.6562479358302059	(+.f64 (.f64 x y) (.f64 z t))
accuracy	1.5546813074906174	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Samples

20.0ms

256×

valid

Compiler

Compiled 68 to 24 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (68.4% of total)

ival-add: 2.0ms (27.3% of total)

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

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

series14.0ms (0.3%)

Memory

-11.2MiB live, 25.5MiB allocated

Counts

5 → 27

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
(*.f64 z t)
(*.f64 a b)

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

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))
1.0ms	z	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))
1.0ms	x	@	0	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))
1.0ms	y	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))
1.0ms	t	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* x y) (* z t)) (* x y) (* z t) (* a b))

simplify135.0ms (2.5%)

Memory

4.2MiB live, 160.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	229
1	389	229
2	1252	229
3	3049	229
4	6626	229
0	8357	192

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite244.0ms (4.6%)

Memory

14.0MiB live, 212.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	16	27
1	48	27
2	402	27
3	6038	27
0	8073	24

Stop Event

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

Counts

5 → 186

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
(*.f64 z t)
(*.f64 a b)

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

eval148.0ms (2.8%)

Memory: 13.2MiB live, 48.6MiB allocated
Compiler: Compiled 6 241 to 573 computations (90.8% saved)

prune28.0ms (0.5%)

Memory

-41.1MiB live, 11.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	3	194

Accuracy

100.0%

Counts

194 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 z t (fma.f64 b a (*.f64 y x)))
▶	68.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
▶	66.9%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Compiler

Compiled 45 to 37 computations (17.8% saved)

simplify4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	24	84
1	41	82
2	41	82
0	41	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(fma.f64 b a (*.f64 t z))
b
a
(*.f64 t z)
t
z
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
(fma.f64 b a (*.f64 y x))
b
a
(*.f64 y x)
y
x
(fma.f64 z t (fma.f64 b a (*.f64 y x)))
z
t
(fma.f64 b a (*.f64 y x))
b
a
(*.f64 y x)
y
x

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(fma.f64 b a (*.f64 t z))
b
a
(*.f64 t z)
t
z
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
(fma.f64 b a (*.f64 y x))
b
a
(*.f64 y x)
y
x
(fma.f64 z t (fma.f64 b a (*.f64 y x)))
(fma.f64 b a (fma.f64 y x (*.f64 t z)))
z
t
(fma.f64 b a (*.f64 y x))
b
a
(*.f64 y x)
y
x

localize58.0ms (1.1%)

Memory

26.3MiB live, 64.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(fma.f64 b a (*.f64 y x))
accuracy	0.5039007452111204	(fma.f64 z t (fma.f64 b a (*.f64 y x)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(fma.f64 b a (*.f64 y x))
accuracy	20.185365520191194	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
accuracy	0.0	(*.f64 t z)
accuracy	1.249986238027801	(fma.f64 b a (*.f64 t z))
accuracy	19.94781418874118	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Samples

48.0ms

256×

valid

Compiler

Compiled 165 to 37 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (62.2% of total)

ival-add: 5.0ms (34.6% of total)

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

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

series36.0ms (0.7%)

Memory

-23.9MiB live, 14.6MiB allocated

Counts

7 → 35

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(fma.f64 b a (*.f64 t z))
(*.f64 t z)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
(fma.f64 b a (*.f64 y x))
(*.f64 y x)
(fma.f64 z t (fma.f64 b a (*.f64 y x)))

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

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	a	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x) (+ (* z t) (+ (* b a) (* y x))))
1.0ms	z	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x) (+ (* z t) (+ (* b a) (* y x))))
1.0ms	y	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x) (+ (* z t) (+ (* b a) (* y x))))
1.0ms	t	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x) (+ (* z t) (+ (* b a) (* y x))))
1.0ms	x	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x) (+ (* z t) (+ (* b a) (* y x))))

simplify188.0ms (3.5%)

Memory

8.9MiB live, 124.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	285
1	488	285
2	1605	285
3	4041	285
4	7706	285
0	8454	240

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite174.0ms (3.3%)

Memory

28.5MiB live, 223.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	63
0	24	61
1	113	59
2	785	59
0	8475	59

Stop Event

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

Counts

7 → 225

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(fma.f64 b a (*.f64 t z))
(*.f64 t z)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
(fma.f64 b a (*.f64 y x))
(*.f64 y x)
(fma.f64 z t (fma.f64 b a (*.f64 y x)))

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
(.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t z (.f64 (neg.f64 b) a))))
(.f64 #s(literal 1 binary64) (fma.f64 b a (.f64 t z)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 b a) (*.f64 t z)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))))
(.f64 (fma.f64 b a (.f64 t z)) (.f64 (-.f64 (.f64 b a) (.f64 t z)) (pow.f64 (-.f64 (.f64 b a) (*.f64 t z)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 b a) (*.f64 t z)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 (fma.f64 b a (.f64 t z)) (pow.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (.f64 (.f64 b a) (-.f64 (.f64 b a) (.f64 t z))))))
(.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b a (*.f64 t z))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 b a) (*.f64 t z)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z))) (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z)))) (.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z))))) (+.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z)))))
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(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 b a (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 b a (.f64 y x)) (-.f64 (fma.f64 b a (.f64 y x)) (.f64 t z)) (pow.f64 (.f64 t z) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (.f64 t z)) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (neg.f64 (-.f64 (fma.f64 y x (.f64 t z)) (.f64 b a)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (.f64 t z)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 b a) (-.f64 (.f64 b a) (fma.f64 y x (.f64 t z))) (pow.f64 (fma.f64 y x (.f64 t z)) #s(literal 2 binary64))))))
(fma.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) (fma.f64 t z (.f64 (neg.f64 y) x))) (.f64 b a))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 (neg.f64 b) a))) (.f64 t z))
(fma.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t z (.f64 (neg.f64 b) a))) (.f64 y x))
(fma.f64 #s(literal 1 binary64) (fma.f64 b a (.f64 t z)) (.f64 y x))
(fma.f64 #s(literal 1 binary64) (fma.f64 b a (.f64 y x)) (.f64 t z))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 t z)) (.f64 b a))
(fma.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y x) (.f64 t z)))) (*.f64 b a))
(fma.f64 (neg.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (.f64 b a))
(fma.f64 (neg.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 b a) (.f64 y x)))) (*.f64 t z))
(fma.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))) (.f64 t z))
(fma.f64 (neg.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 b a) (.f64 t z)))) (*.f64 y x))
(fma.f64 (neg.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))) (.f64 y x))
(fma.f64 (fma.f64 b a (.f64 t z)) (.f64 (-.f64 (.f64 b a) (.f64 t z)) (pow.f64 (-.f64 (.f64 b a) (.f64 t z)) #s(literal -1 binary64))) (*.f64 y x))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 y x) (.f64 t z)) #s(literal -1 binary64)) (*.f64 b a))
(fma.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 b a) (.f64 t z)) #s(literal -1 binary64)) (*.f64 y x))
(fma.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 b a) (.f64 y x)) #s(literal -1 binary64)) (*.f64 t z))
(fma.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (fma.f64 y x (.f64 t z)) (pow.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 b a))
(fma.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 t z))))) (.f64 b a))
(fma.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 b a))
(fma.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 t) z (fma.f64 b a (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 b a (.f64 y x)) #s(literal 2 binary64)) (-.f64 (.f64 t z) (fma.f64 b a (*.f64 y x))))))
(fma.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 (fma.f64 b a (.f64 t z)) (pow.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 y x))
(fma.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (.f64 (.f64 b a) (-.f64 (.f64 b a) (.f64 t z))))) (.f64 y x))
(fma.f64 (+.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 t z) (fma.f64 t z (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 y x))
(fma.f64 (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 (fma.f64 b a (.f64 y x)) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 t z))
(fma.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 b a) (-.f64 (.f64 b a) (.f64 y x))))) (.f64 t z))
(fma.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 b) a)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 t z))
(fma.f64 (pow.f64 (fma.f64 y x (.f64 t z)) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 y x (.f64 t z)) (.f64 b a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (.f64 t z)) (.f64 b a)))))
(fma.f64 (fma.f64 b a (.f64 y x)) (.f64 (-.f64 (.f64 b a) (.f64 y x)) (pow.f64 (-.f64 (.f64 b a) (.f64 y x)) #s(literal -1 binary64))) (*.f64 t z))
(fma.f64 b a (fma.f64 y x (*.f64 t z)))
(fma.f64 a b (fma.f64 y x (*.f64 t z)))
(fma.f64 (fma.f64 y x (.f64 t z)) (.f64 (-.f64 (.f64 y x) (.f64 t z)) (pow.f64 (-.f64 (.f64 y x) (.f64 t z)) #s(literal -1 binary64))) (*.f64 b a))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(fma.f64 z t (fma.f64 b a (*.f64 y x)))
(fma.f64 y x (fma.f64 b a (*.f64 t z)))
(fma.f64 x y (fma.f64 b a (*.f64 t z)))
(-.f64 (fma.f64 b a (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) (.f64 t z)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 y x) (.f64 t z))))
(-.f64 (fma.f64 y x (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z))))
(-.f64 (fma.f64 t z (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (fma.f64 y x (.f64 t z)))) (/.f64 (pow.f64 (fma.f64 y x (.f64 t z)) #s(literal 2 binary64)) (-.f64 (.f64 b a) (fma.f64 y x (.f64 t z)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) (fma.f64 b a (.f64 t z)))) (/.f64 (pow.f64 (fma.f64 b a (.f64 t z)) #s(literal 2 binary64)) (-.f64 (.f64 y x) (fma.f64 b a (.f64 t z)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b a (.f64 t z)) #s(literal 2 binary64)) (-.f64 (fma.f64 b a (.f64 t z)) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (fma.f64 b a (.f64 t z)) (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b a (.f64 y x)) #s(literal 2 binary64)) (-.f64 (fma.f64 b a (.f64 y x)) (.f64 t z))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (fma.f64 b a (.f64 y x)) (.f64 t z))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) (.f64 t z))) (-.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 y x) (.f64 t z))) (*.f64 b a)))
(-.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 t z) (fma.f64 b a (.f64 y x)))) (/.f64 (pow.f64 (fma.f64 b a (.f64 y x)) #s(literal 2 binary64)) (-.f64 (.f64 t z) (fma.f64 b a (.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x))) (-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 y x))) (*.f64 t z)))
(-.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z))) (-.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 b a) (.f64 t z))) (*.f64 y x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x (.f64 t z)) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (.f64 t z)) (.f64 b a))) (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (.f64 t z)) (.f64 b a))))
(+.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (.f64 t z) (fma.f64 b a (.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 b a (.f64 y x)) #s(literal 2 binary64)) (-.f64 (.f64 t z) (fma.f64 b a (.f64 y x))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x (.f64 t z)) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (.f64 t z)) (.f64 b a))) (neg.f64 (/.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (.f64 t z)) (.f64 b a)))))
(+.f64 (fma.f64 b a (.f64 t z)) (.f64 y x))
(+.f64 (.f64 b a) (fma.f64 y x (.f64 t z)))
(+.f64 (fma.f64 b a (.f64 y x)) (.f64 t z))
(+.f64 (.f64 y x) (fma.f64 b a (.f64 t z)))
(+.f64 (fma.f64 y x (.f64 t z)) (.f64 b a))
(+.f64 (.f64 t z) (fma.f64 b a (.f64 y x)))

eval86.0ms (1.6%)

Memory: -13.0MiB live, 127.4MiB allocated
Compiler: Compiled 9 070 to 691 computations (92.4% saved)

prune8.0ms (0.1%)

Memory

-15.2MiB live, 23.1MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	276	2	278
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	277	4	281

Accuracy

100.0%

Counts

281 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.6%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
✓	68.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
✓	66.9%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
▶	37.3%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	70
0	23	68
1	36	68
2	41	68
0	41	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (* b a) (* y x)) (*.f64 b a))
(*.f64 b a)
b
a
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
(fma.f64 t z (*.f64 y x))
t
z
(*.f64 y x)
y
x

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (* b a) (* y x)) (*.f64 b a))
(*.f64 b a)
b
a
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 t z)))
(fma.f64 t z (*.f64 y x))
(fma.f64 y x (*.f64 t z))
t
z
(*.f64 y x)
y
x

localize34.0ms (0.6%)

Memory

-5.4MiB live, 76.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.5039007452111204	(fma.f64 t z (*.f64 y x))
accuracy	21.53566728279075	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
accuracy	0.0	(*.f64 b a)
accuracy	20.185365520191194	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
accuracy	30.32941556017675	#s(approx (+ (* b a) (* y x)) (*.f64 b a))

Samples

27.0ms

256×

valid

Compiler

Compiled 120 to 38 computations (68.3% saved)

Precisions

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

ival-mult: 11.0ms (73.6% of total)

ival-add: 4.0ms (26.8% of total)

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

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

series8.0ms (0.2%)

Memory

-22.7MiB live, 16.6MiB allocated

Counts

6 → 35

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (* b a) (* y x)) (*.f64 b a))
(*.f64 b a)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
(fma.f64 t z (*.f64 y x))
(*.f64 y x)

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

Calls

18 calls:

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

simplify135.0ms (2.5%)

Memory

13.4MiB live, 204.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	285
1	492	285
2	1621	285
3	4019	285
4	7643	285
0	8404	240

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite180.0ms (3.4%)

Memory

21.3MiB live, 134.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	64
0	23	62
1	98	62
2	688	62
0	8314	58

Stop Event

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

Counts

6 → 89

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (* b a) (* y x)) (*.f64 b a))
(*.f64 b a)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
(fma.f64 t z (*.f64 y x))
(*.f64 y x)

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

eval9.0ms (0.2%)

Memory: 10.7MiB live, 10.7MiB allocated
Compiler: Compiled 4 007 to 364 computations (90.9% saved)

prune4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	94	5	99

Accuracy

100.0%

Counts

99 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
✓	68.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
✓	66.9%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
▶	34.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
✓	37.3%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 100 to 76 computations (24% saved)

simplify4.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	39
0	18	39
1	25	39
2	32	39
3	34	39
0	34	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (* t z) (* y x)) (*.f64 t z))
(*.f64 t z)
t
z

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (* t z) (* y x)) (*.f64 t z))
(*.f64 t z)
t
z

localize72.0ms (1.3%)

Memory

-5.8MiB live, 32.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 t z)
accuracy	21.53566728279075	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
accuracy	30.72738689245764	#s(approx (+ (* t z) (* y x)) (*.f64 t z))

Samples

20.0ms

256×

valid

Compiler

Compiled 64 to 33 computations (48.4% saved)

Precisions

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

ival-mult: 8.0ms (72.2% of total)

ival-add: 3.0ms (27.1% of total)

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

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

series29.0ms (0.5%)

Memory

-27.2MiB live, 8.4MiB allocated

Counts

3 → 27

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (* t z) (* y x)) (*.f64 t z))
(*.f64 t z)

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

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	b	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))
0.0ms	z	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))
0.0ms	t	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))
0.0ms	t	@	inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))
0.0ms	x	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))

simplify295.0ms (5.5%)

Memory

-1.5MiB live, 127.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	229
1	389	229
2	1252	229
3	3049	229
4	6626	229
0	8357	192

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite287.0ms (5.4%)

Memory

9.9MiB live, 205.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
0	18	37
1	70	37
2	575	37
3	7971	37
0	8544	33

Stop Event

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

Counts

3 → 4

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (* t z) (* y x)) (*.f64 t z))
(*.f64 t z)

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (* t z) (* y x)) (*.f64 t z))
(*.f64 t z)
(*.f64 z t)

eval1.0ms (0%)

Memory: 2.1MiB live, 2.1MiB allocated
Compiler: Compiled 205 to 33 computations (83.9% saved)

prune3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	9	6	15

Accuracy

100.0%

Counts

15 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
✓	68.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
✓	66.9%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
	34.6%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
✓	34.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
✓	37.3%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 250 to 125 computations (50% saved)

regimes68.0ms (1.3%)

Memory

-10.4MiB live, 75.1MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
(fma.f64 z t (fma.f64 b a (*.f64 y x)))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Outputs
(fma.f64 z t (fma.f64 b a (*.f64 y x)))

Calls

11 calls:

19.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
16.0ms	z
8.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
99.2%	1	`(+.f64 (.f64 x y) (.f64 z t))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z t)`
99.2%	1	`(*.f64 a b)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes41.0ms (0.8%)

Memory

15.3MiB live, 53.4MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))

Outputs

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))

Calls

11 calls:

15.0ms	b
3.0ms	a
3.0ms	z
3.0ms	y
2.0ms	t

Results

Accuracy	Segments	Branch
85.5%	5	`x`
83.0%	4	`y`
85.8%	3	`z`
83.7%	4	`t`
86.1%	4	`a`
83.0%	4	`b`
76.2%	4	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
85.7%	4	`(+.f64 (.f64 x y) (.f64 z t))`
88.0%	3	`(*.f64 x y)`
87.4%	3	`(*.f64 z t)`
88.5%	3	`(*.f64 a b)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))

Outputs

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))

Calls

2 calls:

2.0ms	(*.f64 a b)
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
87.4%	3	`(*.f64 x y)`
75.8%	5	`(*.f64 a b)`

Compiler

Compiled 6 to 14 computations (-133.3% saved)

regimes30.0ms (0.6%)

Memory

-9.3MiB live, 28.8MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))

Calls

7 calls:

18.0ms	(*.f64 x y)
2.0ms	z
2.0ms	x
2.0ms	a
2.0ms	t

Results

Accuracy	Segments	Branch
70.7%	3	`t`
75.9%	3	`x`
70.3%	3	`(+.f64 (.f64 x y) (.f64 z t))`
70.3%	3	`a`
70.3%	3	`z`
70.9%	3	`(*.f64 z t)`
81.7%	3	`(*.f64 x y)`

Compiler

Compiled 17 to 47 computations (-176.5% saved)

regimes40.0ms (0.8%)

Memory

0.4MiB live, 40.3MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs

#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Calls

11 calls:

23.0ms	x
2.0ms	a
2.0ms	b
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
53.7%	3	`(+.f64 (.f64 x y) (.f64 z t))`
59.8%	5	`a`
59.8%	5	`z`
56.6%	4	`t`
61.4%	5	`(*.f64 z t)`
62.1%	5	`(*.f64 a b)`
47.0%	5	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
54.2%	4	`x`
52.9%	4	`y`
53.3%	4	`b`
57.2%	3	`(*.f64 x y)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))

Outputs

#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))

#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Calls

2 calls:

1.0ms	(*.f64 a b)
1.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
57.3%	3	`(*.f64 z t)`
58.2%	3	`(*.f64 a b)`

Compiler

Compiled 6 to 14 computations (-133.3% saved)

regimes23.0ms (0.4%)

Memory

-7.3MiB live, 31.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Calls

11 calls:

11.0ms	(*.f64 x y)
1.0ms	a
1.0ms	z
1.0ms	t
1.0ms	y

Results

Accuracy	Segments	Branch
37.3%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
37.3%	1	`y`
37.3%	1	`b`
37.3%	1	`x`
37.3%	1	`(+.f64 (.f64 x y) (.f64 z t))`
37.3%	1	`t`
37.3%	1	`z`
37.3%	1	`a`
37.3%	1	`(*.f64 x y)`
37.3%	1	`(*.f64 z t)`
37.3%	1	`(*.f64 a b)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.698880370692726e+102	2.5563193926096512e+109
0.0ms	-2.8437646541733416e+73	-1.924793994123444e+73

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.71383195006447e+118	1.6577924530237923e+120
0.0ms	-2.9500977186468092e+34	-4.3957221293046205e+26

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.592354405435347e+157	3.1598424014606545e+169
0.0ms	-6.670218756444071e+86	-1.8233881443617312e+86

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.698880370692726e+102	2.5563193926096512e+109
0.0ms	3.772420437385133e-47	2.620004904028826e-41
0.0ms	1.7167304132583056e-165	1.0053105300452614e-163
0.0ms	-2.8437646541733416e+73	-1.924793994123444e+73

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.698880370692726e+102	2.5563193926096512e+109
0.0ms	-2.8437646541733416e+73	-1.924793994123444e+73

Compiler

Compiled 14 to 20 computations (-42.9% saved)

simplify92.0ms (1.7%)

Memory

-16.5MiB live, 56.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	436
1	65	436

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z t (fma.f64 b a (*.f64 y x)))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 a b) #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))))
(if (<=.f64 (.f64 x y) #s(literal -19999999999999998911504619740856320 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 x y) #s(literal 99999999999999994416755247254933381274972870380190006824232035607637985622760311004411949604741731366073618283536318464 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))))
(if (<=.f64 (.f64 x y) #s(literal -499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 y x))))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal 4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 5142201741628769/102844034832575377634685573909834406561420991602098741459288064 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 a b) #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))))))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Outputs
(fma.f64 z t (fma.f64 b a (*.f64 y x)))
(fma.f64 z t (fma.f64 b a (*.f64 x y)))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 a b) #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 x y))) (if (<=.f64 (.f64 a b) #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (.f64 x y))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -19999999999999998911504619740856320 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 x y) #s(literal 99999999999999994416755247254933381274972870380190006824232035607637985622760311004411949604741731366073618283536318464 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))))
(if (<=.f64 (.f64 x y) #s(literal -19999999999999998911504619740856320 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 x y))) (if (<=.f64 (.f64 x y) #s(literal 99999999999999994416755247254933381274972870380190006824232035607637985622760311004411949604741731366073618283536318464 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 y x))))
(if (<=.f64 (.f64 x y) #s(literal -499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 x y))))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal 4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 5142201741628769/102844034832575377634685573909834406561420991602098741459288064 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 a b) #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))))))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 a b))) (if (<=.f64 (.f64 a b) #s(literal 4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 5142201741628769/102844034832575377634685573909834406561420991602098741459288064 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 x y)) (if (<=.f64 (.f64 a b) #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 a b)))))))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))))
(if (<=.f64 (.f64 a b) #s(literal -19999999999999999660673935899226515960618160481369312643676908399133458432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 a b))) (if (<=.f64 (.f64 a b) #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 a b)))))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 a b)))

soundness1.3s (23.6%)

Memory

1.1MiB live, 598.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	16	27
1	48	27
2	402	27
3	6038	27
0	8073	24
0	128	285
1	488	285
2	1605	285
3	4041	285
4	7706	285
0	8454	240
0	104	229
1	389	229
2	1252	229
3	3049	229
4	6626	229
0	8357	192
0	128	285
1	492	285
2	1621	285
3	4019	285
4	7643	285
0	8404	240
0	104	229
1	389	229
2	1252	229
3	3049	229
4	6626	229
0	8357	192

Stop Event

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

Compiler

Compiled 573 to 266 computations (53.6% saved)

preprocess95.0ms (1.8%)

Memory

18.3MiB live, 148.4MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 1 056 to 300 computations (71.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (22.7%)

explain138.0ms (2.6%)

preprocess105.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize32.0ms (0.6%)

series14.0ms (0.3%)

simplify135.0ms (2.5%)

rewrite244.0ms (4.6%)

eval148.0ms (2.8%)

prune28.0ms (0.5%)

simplify4.0ms (0.1%)

localize58.0ms (1.1%)

series36.0ms (0.7%)

simplify188.0ms (3.5%)

rewrite174.0ms (3.3%)

eval86.0ms (1.6%)

prune8.0ms (0.1%)

simplify4.0ms (0.1%)

localize34.0ms (0.6%)

series8.0ms (0.2%)

simplify135.0ms (2.5%)

rewrite180.0ms (3.4%)

eval9.0ms (0.2%)

prune4.0ms (0.1%)

simplify4.0ms (0.1%)

localize72.0ms (1.3%)

series29.0ms (0.5%)

simplify295.0ms (5.5%)

rewrite287.0ms (5.4%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes68.0ms (1.3%)

regimes41.0ms (0.8%)

regimes5.0ms (0.1%)

regimes30.0ms (0.6%)

regimes40.0ms (0.8%)

regimes3.0ms (0.1%)

regimes23.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify92.0ms (1.7%)

soundness1.3s (23.6%)

preprocess95.0ms (1.8%)

end0.0ms (0%)

Profiling