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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.1s (20.9%)

Memory

4.2MiB live, 1 202.0MiB allocated

Samples

731.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 334.0ms

ival-mult: 263.0ms (78.8% of total)

ival-add: 62.0ms (18.6% of total)

ival-true: 6.0ms (1.8% of total)

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

Bogosity

explain106.0ms (2%)

Memory

-20.4MiB live, 188.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
2	-	-	`(+.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	4	0
↳	`(*.f64 x y)`	overflow	31
↳	`(+.f64 (.f64 x y) (.f64 z t))`	overflow	61
↳	`(*.f64 z t)`	overflow	32
↳	`(*.f64 a b)`	overflow	30
`+.f64`	`(+.f64 (.f64 x y) (.f64 z t))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 z t)`	overflow	32

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 114 to 48 computations (57.9% saved)

Precisions

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

ival-mult: 10.0ms (69.5% of total)

ival-add: 4.0ms (27.8% of total)

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

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

preprocess107.0ms (2%)

Memory

-9.2MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	315
1	222	301
2	379	297
3	792	297
4	1555	297
5	2497	297
6	3005	297
7	3053	297
8	3055	297
9	3055	297
10	3055	297
11	3055	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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

localize51.0ms (1%)

Memory

-9.4MiB live, 28.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(*.f64 a b)
accuracy	0.40625000000000006	(+.f64 (.f64 x y) (.f64 z t))
accuracy	1.0078042433208232	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Samples

46.0ms

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 (72.4% of total)

ival-add: 2.0ms (29% of total)

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

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

series11.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB 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
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	y	@	0	((+ (+ (* 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))

simplify321.0ms (6%)

Memory

2.1MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	249
1	389	245
2	1302	237
3	3174	237
4	7235	237
0	8046	200

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 t z (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 t z (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 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.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 t z (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 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.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 t z (fma.f64 b a (*.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 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -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 t z (fma.f64 b a (*.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 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -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 t z (fma.f64 b a (*.f64 y x)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))

rewrite200.0ms (3.7%)

Memory

10.0MiB live, 165.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	16	27
1	48	27
2	402	27
3	6100	27
0	8135	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)

eval52.0ms (1%)

Memory: -17.9MiB live, 28.2MiB allocated
Compiler: Compiled 6 287 to 577 computations (90.8% saved)

prune3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	192	3	195
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	193	3	196

Accuracy

100.0%

Counts

196 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(fma.f64 z t (fma.f64 b a (*.f64 y x)))
▶	65.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
▶	67.1%	#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

2.1MiB live, 2.1MiB 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

localize49.0ms (0.9%)

Memory

1.4MiB live, 39.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.24999724760556022	(fma.f64 z t (fma.f64 b a (*.f64 y x)))
accuracy	0.7578042428166806	(fma.f64 b a (*.f64 y x))
accuracy	0.0	(*.f64 y x)
accuracy	0.7578042428166806	(fma.f64 b a (*.f64 y x))
accuracy	21.360949896017875	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
accuracy	0.0	(*.f64 t z)
accuracy	0.2539034976055602	(fma.f64 b a (*.f64 t z))
accuracy	20.794049797728352	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Samples

40.0ms

256×

valid

Compiler

Compiled 165 to 37 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 18.0ms (66% of total)

ival-mult: 9.0ms (33% of total)

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

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

series9.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB 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
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	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))))
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	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))))
0.0ms	b	@	-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))))

simplify268.0ms (5%)

Memory

-25.3MiB live, 99.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	315
1	488	309
2	1666	297
3	4200	297
0	8037	252

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 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.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 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.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 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -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 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -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 (fma.f64 t z (.f64 y x)) #s(literal 1 binary64) (.f64 b a))
(* -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 (fma.f64 t z (.f64 y x)) #s(literal 1 binary64) (.f64 b a))
(* -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))

rewrite350.0ms (6.5%)

Memory

10.8MiB live, 202.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	63
0	24	61
1	113	59
2	785	59
0	8611	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)))

eval34.0ms (0.6%)

Memory: 15.6MiB live, 52.6MiB allocated
Compiler: Compiled 9 139 to 697 computations (92.4% saved)

prune29.0ms (0.5%)

Memory

-19.4MiB live, 18.6MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	278	3	281
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	280	4	284

Accuracy

100.0%

Counts

284 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.5%	(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
▶	69.7%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
✓	65.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
▶	34.4%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 73 to 57 computations (21.9% saved)

simplify4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 b a)
cost-diff	0	#s(approx (+ (* b a) (* y x)) (*.f64 b a))
cost-diff	0	(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
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	21	102
0	25	100
1	39	100
2	44	100
0	44	94

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

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

localize62.0ms (1.2%)

Memory

21.2MiB live, 63.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 b a)
accuracy	0.24999724760556022	(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
accuracy	30.282144753828454	#s(approx (+ (* b a) (* y x)) (*.f64 b a))
accuracy	0.0	(*.f64 y x)
accuracy	0.2539034976055602	(fma.f64 t z (*.f64 y x))
accuracy	19.1343439777949	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
accuracy	0.0	(*.f64 b a)
accuracy	21.360949896017875	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
accuracy	30.282144753828454	#s(approx (+ (* b a) (* y x)) (*.f64 b a))

Samples

53.0ms

256×

valid

Compiler

Compiled 177 to 40 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 36.0ms (87.6% of total)

ival-add: 5.0ms (12.2% of total)

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

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

series13.0ms (0.2%)

Memory

-17.1MiB live, 19.8MiB allocated

Counts

7 → 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)
(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

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
5.0ms	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) (+ (* z t) (+ (* b a) (* 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) (+ (* z t) (+ (* b a) (* 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) (+ (* z t) (+ (* b a) (* 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) (+ (* z t) (+ (* b a) (* y x))))
0.0ms	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) (+ (* z t) (+ (* b a) (* y x))))

simplify136.0ms (2.5%)

Memory

4.1MiB live, 201.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	285
1	492	285
2	1682	285
3	4176	285
4	7959	285
0	8720	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))

rewrite318.0ms (5.9%)

Memory

-8.5MiB live, 287.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	78
0	25	76
1	111	76
2	798	76
0	8603	71

Stop Event

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

Counts

7 → 103

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

eval13.0ms (0.2%)

Memory: -9.2MiB live, 28.2MiB allocated
Compiler: Compiled 4 585 to 334 computations (92.7% saved)

prune4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	112	5	117

Accuracy

100.0%

Counts

117 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.5%	(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
✓	69.7%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
✓	65.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
▶	36.7%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
✓	34.4%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 96 to 74 computations (22.9% saved)

simplify3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB 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

localize31.0ms (0.6%)

Memory

-30.9MiB live, 53.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 t z)
accuracy	19.1343439777949	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
accuracy	30.68452775670793	#s(approx (+ (* t z) (* y x)) (*.f64 t z))

Samples

22.0ms

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: 7.0ms (65.6% of total)

ival-add: 3.0ms (28.1% of total)

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

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

series6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB 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
0.0ms	t	@	-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	x	@	-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))

simplify126.0ms (2.3%)

Memory

12.4MiB live, 170.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	249
1	389	245
2	1302	237
3	3174	237
4	7235	237
0	8046	200

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 t z (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 t z (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 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.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 t z (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 (fma.f64 b a (.f64 t z)) #s(literal 1 binary64) (.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 t z (fma.f64 b a (*.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 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -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 t z (fma.f64 b a (*.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 (fma.f64 b a (.f64 y x)) #s(literal 1 binary64) (.f64 t z))
(* -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 t z (fma.f64 b a (*.f64 y x)))
(* -1 (* a (+ (* -1 b) (* -1 (/ (+ (* t z) (* x y)) a)))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* b (+ a (+ (/ (* t z) b) (/ (* x y) b))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* t z) (* x y)) b)))))
(fma.f64 t z (fma.f64 b a (*.f64 y x)))

rewrite173.0ms (3.2%)

Memory

5.5MiB live, 202.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
0	18	37
1	70	37
2	575	37
0	8137	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: 2.8MiB live, 2.8MiB allocated
Compiler: Compiled 251 to 38 computations (84.9% saved)

prune4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	11	6	17

Accuracy

100.0%

Counts

17 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.5%	(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
✓	69.7%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
✓	65.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
	36.6%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
✓	36.7%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
✓	34.4%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 260 to 124 computations (52.3% saved)

regimes47.0ms (0.9%)

Memory

-28.2MiB live, 91.6MiB allocated

Counts

9 → 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 #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
(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:

9.0ms	y
6.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
3.0ms	b
3.0ms	a
3.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`t`
98.4%	1	`a`
98.4%	1	`b`
98.4%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
98.4%	1	`(+.f64 (.f64 x y) (.f64 z t))`
98.4%	1	`(*.f64 x y)`
98.4%	1	`(*.f64 z t)`
98.4%	1	`(*.f64 a b)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes34.0ms (0.6%)

Memory

10.2MiB live, 85.9MiB allocated

Counts

7 → 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)))
(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

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

Calls

11 calls:

5.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	z
3.0ms	a
3.0ms	b
3.0ms	t

Results

Accuracy	Segments	Branch
84.0%	4	`x`
88.9%	3	`y`
87.4%	4	`z`
83.4%	3	`t`
83.4%	4	`a`
84.6%	3	`b`
74.7%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
87.0%	3	`(+.f64 (.f64 x y) (.f64 z t))`
88.7%	3	`(*.f64 x y)`
90.8%	3	`(*.f64 z t)`
88.7%	3	`(*.f64 a b)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB 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 t z (*.f64 y x)))

#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)))

Calls

1 calls:

3.0ms

(*.f64 z t)

Results

Accuracy	Segments	Branch
90.4%	3	`(*.f64 z t)`

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes25.0ms (0.5%)

Memory

-17.4MiB live, 21.2MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
73.4%	2	`(*.f64 a b)`
88.3%	3	`(*.f64 x y)`
86.9%	3	`y`
86.0%	3	`(*.f64 z t)`

Compiler

Compiled 10 to 27 computations (-170% saved)

regimes12.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB 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

6 calls:

2.0ms	y
2.0ms	z
2.0ms	b
2.0ms	(*.f64 x y)
2.0ms	(+.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
67.1%	1	`b`
67.1%	1	`z`
67.1%	1	`(*.f64 z t)`
81.7%	3	`y`
67.1%	1	`(+.f64 (.f64 x y) (.f64 z t))`
83.5%	3	`(*.f64 x y)`

Compiler

Compiled 16 to 41 computations (-156.3% saved)

regimes51.0ms (1%)

Memory

-15.2MiB live, 66.6MiB allocated

Counts

3 → 4

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)) (*.f64 y x))
#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))

Calls

11 calls:

32.0ms	(*.f64 x y)
4.0ms	z
2.0ms	t
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
61.1%	4	`(*.f64 z t)`
56.2%	3	`(+.f64 (.f64 x y) (.f64 z t))`
56.5%	5	`b`
57.8%	4	`z`
46.0%	4	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
60.9%	4	`(*.f64 a b)`
61.6%	4	`y`
51.7%	4	`a`
56.2%	5	`x`
56.3%	5	`t`
59.6%	3	`(*.f64 x y)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes8.0ms (0.1%)

Memory

-17.4MiB live, 21.2MiB 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 (+ (* 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 (+ (* t z) (* y x)) (*.f64 t z)))

Calls

4 calls:

3.0ms	(*.f64 a b)
1.0ms	y
1.0ms	(*.f64 x y)
1.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
54.2%	3	`(*.f64 a b)`
58.3%	3	`(*.f64 z t)`
39.0%	2	`(*.f64 x y)`
41.3%	2	`y`

Compiler

Compiled 10 to 27 computations (-170% saved)

regimes15.0ms (0.3%)

Memory

10.0MiB live, 48.9MiB 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:

3.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
1.0ms	(*.f64 z t)
1.0ms	y
1.0ms	z
1.0ms	t

Results

Accuracy	Segments	Branch
34.4%	1	`(*.f64 x y)`
34.4%	1	`y`
34.4%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
34.4%	1	`a`
34.4%	1	`x`
34.4%	1	`t`
34.4%	1	`b`
34.4%	1	`(*.f64 a b)`
34.4%	1	`(+.f64 (.f64 x y) (.f64 z t))`
34.4%	1	`z`
34.4%	1	`(*.f64 z t)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	17632204652.600258	3419745906470.943
0.0ms	-6.065630508323594e+53	-7.7963878882555e+52

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	17632204652.600258	3419745906470.943
0.0ms	-6.065630508323594e+53	-7.7963878882555e+52

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1166154137848978e+31	5.722682985662787e+33
0.0ms	-2.247341471823576e+76	-3.2549012181681488e+72

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.251584540830612e+141	7.561670992198979e+141
0.0ms	-1.902671355481581e+153	-1.0413765149710883e+153

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch47.0ms (0.9%)

Memory

10.2MiB live, 53.0MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.057573697952087e+69	1.3582798971963665e+71
28.0ms	2.862090723621589e-109	8.221821190160965e-109
6.0ms	-2.242311269915874e-25	-1.1937774484617646e-25

Samples

35.0ms

256×

valid

Compiler

Compiled 662 to 552 computations (16.6% saved)

Precisions

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

ival-mult: 5.0ms (72.2% of total)

ival-add: 2.0ms (28.9% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.516418853024109e+112	7.2253041596933526e+112
0.0ms	-6.065630508323594e+53	-7.7963878882555e+52

Compiler

Compiled 14 to 20 computations (-42.9% saved)

simplify38.0ms (0.7%)

Memory

-19.4MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	402
1	88	402
2	93	402

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z t (fma.f64 b a (*.f64 y x)))
(if (<=.f64 (.f64 z t) #s(literal -500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) (if (<=.f64 (.f64 z t) #s(literal 20000000000 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (fma.f64 z t #s(approx (+ ( b a) (* y x)) (*.f64 b a)))))
(if (<=.f64 (.f64 z t) #s(literal -500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) (if (<=.f64 (.f64 z t) #s(literal 20000000000 binary64)) #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)))))
(if (<=.f64 (.f64 x y) #s(literal -20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 x y) #s(literal 19999999999999999271792589930496 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 -1500000000000000092635461216022412607596755938342235426694854450013266235314381137631208517861784923417958559597779456808191656743264320822628532252311552 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 7499999999999999365785168240425811788451403948046062664907312988518018464588714661071495940441242955977592980181658849848369262425472927531008 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 y #s(literal -2395587863123407/10889035741470030830827987437816582766592 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 y #s(literal 8884592220540941/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 y #s(literal 18999999999999999079353979950222179859488573057820141726737309678698496 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)) (*.f64 y x)))))
(if (<=.f64 (.f64 z t) #s(literal -500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #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)))

Outputs
(fma.f64 z t (fma.f64 b a (*.f64 y x)))
(if (<=.f64 (.f64 z t) #s(literal -500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) (if (<=.f64 (.f64 z t) #s(literal 20000000000 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (fma.f64 z t #s(approx (+ ( b a) (* y x)) (*.f64 b a)))))
(if (<=.f64 (.f64 z t) #s(literal -500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) (if (<=.f64 (.f64 z t) #s(literal 20000000000 binary64)) #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)))))
(if (<=.f64 (.f64 x y) #s(literal -20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 x y) #s(literal 19999999999999999271792589930496 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 (or (<=.f64 (.f64 x y) #s(literal -20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) (not (<=.f64 (.f64 x y) #s(literal 19999999999999999271792589930496 binary64)))) #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))))
(if (<=.f64 (.f64 x y) #s(literal -1500000000000000092635461216022412607596755938342235426694854450013266235314381137631208517861784923417958559597779456808191656743264320822628532252311552 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 7499999999999999365785168240425811788451403948046062664907312988518018464588714661071495940441242955977592980181658849848369262425472927531008 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 (or (<=.f64 (.f64 x y) #s(literal -1500000000000000092635461216022412607596755938342235426694854450013266235314381137631208517861784923417958559597779456808191656743264320822628532252311552 binary64)) (not (<=.f64 (.f64 x y) #s(literal 7499999999999999365785168240425811788451403948046062664907312988518018464588714661071495940441242955977592980181658849848369262425472927531008 binary64)))) #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))))
(if (<=.f64 y #s(literal -2395587863123407/10889035741470030830827987437816582766592 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 y #s(literal 8884592220540941/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 y #s(literal 18999999999999999079353979950222179859488573057820141726737309678698496 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)) (*.f64 y x)))))
(if (<=.f64 (.f64 z t) #s(literal -500000000000000039145770202298121921152680149943058432 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) (if (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) #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)))))
(if (or (<=.f64 (.f64 z t) #s(literal -500000000000000039145770202298121921152680149943058432 binary64)) (not (<=.f64 (.f64 z t) #s(literal 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 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)))

soundness1.4s (25.7%)

Memory

32.6MiB live, 693.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	16	27
1	48	27
2	402	27
3	6100	27
0	8135	24
0	104	249
1	389	245
2	1302	237
3	3174	237
4	7235	237
0	8046	200
0	128	315
1	488	309
2	1666	297
3	4200	297
0	8037	252
0	128	285
1	492	285
2	1682	285
3	4176	285
4	7959	285
0	8720	240
0	104	249
1	389	245
2	1302	237
3	3174	237
4	7235	237
0	8046	200

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 598 to 334 computations (44.1% saved)

preprocess92.0ms (1.7%)

Memory

-26.6MiB live, 97.5MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 880 to 216 computations (75.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (20.9%)

explain106.0ms (2%)

preprocess107.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize51.0ms (1%)

series11.0ms (0.2%)

simplify321.0ms (6%)

rewrite200.0ms (3.7%)

eval52.0ms (1%)

prune3.0ms (0.1%)

simplify4.0ms (0.1%)

localize49.0ms (0.9%)

series9.0ms (0.2%)

simplify268.0ms (5%)

rewrite350.0ms (6.5%)

eval34.0ms (0.6%)

prune29.0ms (0.5%)

simplify4.0ms (0.1%)

localize62.0ms (1.2%)

series13.0ms (0.2%)

simplify136.0ms (2.5%)

rewrite318.0ms (5.9%)

eval13.0ms (0.2%)

prune4.0ms (0.1%)

simplify3.0ms (0.1%)

localize31.0ms (0.6%)

series6.0ms (0.1%)

simplify126.0ms (2.3%)

rewrite173.0ms (3.2%)

eval1.0ms (0%)

prune4.0ms (0.1%)

regimes47.0ms (0.9%)

regimes34.0ms (0.6%)

regimes3.0ms (0.1%)

regimes25.0ms (0.5%)

regimes12.0ms (0.2%)

regimes51.0ms (1%)

regimes8.0ms (0.1%)

regimes15.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch47.0ms (0.9%)

bsearch1.0ms (0%)

simplify38.0ms (0.7%)

soundness1.4s (25.7%)

preprocess92.0ms (1.7%)

end0.0ms (0%)

Profiling