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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample1.4s (24.4%)

Memory

23.8MiB live, 1 249.3MiB allocated

Samples

887.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

ival-mult: 229.0ms (67.5% of total)

ival-add: 100.0ms (29.5% of total)

ival-true: 7.0ms (2.1% of total)

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

Bogosity

explain187.0ms (3.2%)

Memory

-26.2MiB live, 261.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
1	-	-	`(+.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	5	0
↳	`(*.f64 x y)`	overflow	43
↳	`(+.f64 (.f64 x y) (.f64 z t))`	overflow	69
↳	`(*.f64 z t)`	overflow	30
↳	`(*.f64 a b)`	overflow	35
`+.f64`	`(+.f64 (.f64 x y) (.f64 z t))`	nan-rescue	1	0
↳	`(*.f64 x y)`	overflow	43
↳	`(*.f64 z t)`	overflow	30

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

48.0ms

512×

valid

Compiler

Compiled 147 to 59 computations (59.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 20.0ms (79.4% of total)

ival-add: 4.0ms (15.9% of total)

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

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

preprocess106.0ms (1.8%)

Memory

21.9MiB live, 59.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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

6.4MiB live, 6.4MiB 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

localize31.0ms (0.5%)

Memory

-20.9MiB live, 66.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 a b)
accuracy	0.20312500000000003	(+.f64 (.f64 x y) (.f64 z t))
accuracy	1.1601500574906176	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Samples

25.0ms

256×

valid

Compiler

Compiled 68 to 24 computations (64.7% saved)

Precisions

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

ival-mult: 9.0ms (58.8% of total)

ival-add: 6.0ms (39.2% of total)

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

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

series11.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB 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	x	@	-inf	((+ (+ (* 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))

simplify115.0ms (2%)

Memory

-5.7MiB live, 109.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite239.0ms (4.1%)

Memory

-13.2MiB live, 184.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

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)

eval22.0ms (0.4%)

Memory: 6.2MiB live, 43.5MiB allocated
Compiler: Compiled 6 241 to 573 computations (90.8% saved)

prune3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	189	4	193
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	4	194

Accuracy

100.0%

Counts

194 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 z t (fma.f64 b a (*.f64 y x)))
▶	98.8%	(fma.f64 y x (fma.f64 b a (*.f64 t z)))
▶	72.5%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
▶	66.9%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Compiler

Compiled 54 to 46 computations (14.8% saved)

simplify4.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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 t z)
cost-diff	0	(fma.f64 b a (*.f64 t z))
cost-diff	0	(fma.f64 y x (fma.f64 b a (*.f64 t z)))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	19	110
0	26	106
1	44	106
0	44	106

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

localize74.0ms (1.3%)

Memory

6.6MiB live, 44.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.2539034976055602	(fma.f64 z t (fma.f64 b a (*.f64 y x)))
accuracy	0.5078069952111204	(fma.f64 b a (*.f64 y x))
accuracy	0	(*.f64 t z)
accuracy	0.24999724760556022	(fma.f64 y x (fma.f64 b a (*.f64 t z)))
accuracy	0.5156194952111204	(fma.f64 b a (*.f64 t z))
accuracy	0	(*.f64 y x)
accuracy	0.5078069952111204	(fma.f64 b a (*.f64 y x))
accuracy	17.128056534027866	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))
accuracy	0	(*.f64 t z)
accuracy	0.5156194952111204	(fma.f64 b a (*.f64 t z))
accuracy	20.679710585958272	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 t z)))

Samples

33.0ms

256×

valid

Compiler

Compiled 216 to 39 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (59.3% of total)

ival-add: 6.0ms (35.6% of total)

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

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

series18.0ms (0.3%)

Memory

-31.4MiB live, 14.2MiB allocated

Counts

8 → 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 y x (fma.f64 b a (*.f64 t z)))
(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
9.0ms	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) (+ (* y x) (+ (* b a) (* t z))) (+ (* 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) (+ (* y x) (+ (* b a) (* t z))) (+ (* 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) (+ (* y x) (+ (* b a) (* t z))) (+ (* z t) (+ (* b a) (* y x))))
1.0ms	z	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* t z)) (* t z) (+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* y x) (+ (* y x) (+ (* b a) (* t z))) (+ (* 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) (+ (* y x) (+ (* b a) (* t z))) (+ (* z t) (+ (* b a) (* y x))))

simplify145.0ms (2.5%)

Memory

25.9MiB live, 224.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite236.0ms (4%)

Memory

-8.9MiB live, 311.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	72
0	26	68
1	126	68
2	920	68
0	8789	68

Stop Event

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

Counts

8 → 342

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 y x (fma.f64 b a (*.f64 t z)))
(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 b a) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #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 (-.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 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #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 b a) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #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 (/.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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(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 #s(literal 1 binary64) (fma.f64 b a (.f64 y x)) (.f64 t z))
(fma.f64 #s(literal 1 binary64) (fma.f64 b a (.f64 t z)) (.f64 y x))
(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 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #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 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 b a) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #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 (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 (-.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 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #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 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #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 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #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 b a) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #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 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x (fma.f64 b a (.f64 t z)))) (neg.f64 (/.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))))))
(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 (.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 (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 b a (fma.f64 y x (*.f64 t z)))
(fma.f64 a b (fma.f64 y x (*.f64 t z)))
(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 (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 (fma.f64 b a (.f64 t z)) #s(literal 2 binary64)) (fma.f64 b a (fma.f64 t z (.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 b a (fma.f64 t z (.f64 (neg.f64 y) x)))))
(-.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 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 (.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 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 (.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 (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 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) (fma.f64 b a (.f64 t z)))) (neg.f64 (/.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 (.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 (.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 b a (.f64 t z)) (.f64 y x))
(+.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: 13.0MiB live, 84.5MiB allocated
Compiler: Compiled 9 600 to 700 computations (92.7% saved)

prune12.0ms (0.2%)

Memory

-18.5MiB live, 25.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	297	4	301
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	300	5	305

Accuracy

100.0%

Counts

305 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
✓	98.8%	(fma.f64 y x (fma.f64 b a (*.f64 t z)))
▶	73.2%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 b a)))
▶	62.2%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
▶	40.6%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 82 to 66 computations (19.5% saved)

simplify4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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 b a)
cost-diff	0	(fma.f64 y x (*.f64 b a))
cost-diff	0	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 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	23	133
0	28	126
1	42	126
2	47	126
0	47	123

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

localize43.0ms (0.7%)

Memory

-3.0MiB live, 114.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b a)
accuracy	0.2539034976055602	(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
accuracy	29.131669039146406	#s(approx (+ (* b a) (* y x)) (*.f64 b a))
accuracy	0	(fma.f64 y x (*.f64 b a))
accuracy	0	(*.f64 b a)
accuracy	17.128056534027866	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 b a)))
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 t z (*.f64 y x))
accuracy	24.1725594956719	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
accuracy	0	(*.f64 b a)
accuracy	17.128056534027866	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
accuracy	29.131669039146406	#s(approx (+ (* b a) (* y x)) (*.f64 b a))

Samples

32.0ms

256×

valid

Compiler

Compiled 233 to 43 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (59.6% of total)

ival-add: 6.0ms (35.8% of total)

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

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

series10.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

9 → 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)
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 b a)))
(fma.f64 y x (*.f64 b a))
(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
1.0ms	t	@	-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) (+ (+ (* x y) (* z t)) (* a b)) (+ (* y x) (* b a)) (+ (* 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) (+ (+ (* x y) (* z t)) (* a b)) (+ (* y x) (* b a)) (+ (* z t) (+ (* b a) (* y x))))
1.0ms	x	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* b a) (* y x)) (* b a) (+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* y x) (+ (+ (* x y) (* z t)) (* a b)) (+ (* y x) (* b a)) (+ (* z t) (+ (* b a) (* y x))))
1.0ms	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) (+ (+ (* x y) (* z t)) (* a b)) (+ (* y x) (* b a)) (+ (* z t) (+ (* b a) (* y x))))
1.0ms	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) (+ (+ (* x y) (* z t)) (* a b)) (+ (* y x) (* b a)) (+ (* z t) (+ (* b a) (* y x))))

simplify141.0ms (2.4%)

Memory

-0.8MiB live, 152.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite266.0ms (4.5%)

Memory

-5.1MiB live, 209.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
0	28	96
1	122	96
2	889	96
0	8789	93

Stop Event

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

Counts

9 → 155

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

eval27.0ms (0.5%)

Memory: -8.7MiB live, 28.6MiB allocated
Compiler: Compiled 6 755 to 514 computations (92.4% saved)

prune7.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	166	6	172

Accuracy

100.0%

Counts

172 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.7%	(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
✓	98.8%	(fma.f64 y x (fma.f64 b a (*.f64 t z)))
✓	73.2%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 b a)))
✓	62.2%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
▶	30.4%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
✓	40.6%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 105 to 83 computations (21% saved)

simplify32.0ms (0.6%)

Memory

-34.0MiB live, 4.3MiB 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

localize47.0ms (0.8%)

Memory

-1.4MiB live, 37.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 t z)
accuracy	24.1725594956719	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
accuracy	30.45698265726698	#s(approx (+ (* t z) (* y x)) (*.f64 t z))

Samples

20.0ms

256×

valid

Compiler

Compiled 64 to 33 computations (48.4% saved)

Precisions

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

ival-mult: 8.0ms (70.4% of total)

ival-add: 3.0ms (26.4% of total)

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

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

series6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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	z	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))
0.0ms	t	@	-inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))
0.0ms	z	@	0	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))
0.0ms	t	@	inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))
0.0ms	z	@	inf	((+ (+ (* x y) (* z t)) (* a b)) (+ (* t z) (* y x)) (* t z))

simplify140.0ms (2.4%)

Memory

-5.0MiB live, 116.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite248.0ms (4.2%)

Memory

5.1MiB live, 121.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 205 to 33 computations (83.9% saved)

prune4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	9	7	16

Accuracy

100.0%

Counts

16 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.7%	(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
✓	98.8%	(fma.f64 y x (fma.f64 b a (*.f64 t z)))
✓	73.2%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 b a)))
✓	62.2%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 y x)))
	35.3%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
✓	30.4%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
✓	40.6%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Compiler

Compiled 296 to 136 computations (54.1% saved)

regimes63.0ms (1.1%)

Memory

12.8MiB live, 49.5MiB allocated

Counts

11 → 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)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 b a)))
(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
(fma.f64 y x (fma.f64 b a (*.f64 t z)))
(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 y x (fma.f64 b a (*.f64 t z)))

Calls

11 calls:

24.0ms	b
4.0ms	z
4.0ms	a
4.0ms	t
4.0ms	x

Results

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

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes64.0ms (1.1%)

Memory

-26.0MiB live, 59.6MiB allocated

Counts

8 → 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)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 b a)))
(fma.f64 z t #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Outputs

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

Calls

11 calls:

19.0ms	x
15.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
3.0ms	a
3.0ms	t
3.0ms	b

Results

Accuracy	Segments	Branch
86.2%	3	`x`
89.9%	3	`y`
84.1%	3	`z`
83.3%	3	`t`
85.2%	3	`a`
86.6%	3	`b`
78.6%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
85.8%	4	`(+.f64 (.f64 x y) (.f64 z t))`
90.7%	3	`(*.f64 x y)`
89.2%	4	`(*.f64 z t)`
90.9%	3	`(*.f64 a b)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	(*.f64 a b)
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
89.9%	3	`(*.f64 x y)`
90.1%	3	`(*.f64 a b)`

Compiler

Compiled 6 to 14 computations (-133.3% saved)

regimes5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.9%	3	`(*.f64 x y)`
75.8%	3	`(*.f64 a b)`

Compiler

Compiled 6 to 14 computations (-133.3% saved)

regimes14.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB 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	b
2.0ms	x
2.0ms	a
2.0ms	y
2.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
72.2%	3	`a`
79.8%	3	`x`
66.9%	1	`b`
66.9%	1	`(*.f64 z t)`
80.3%	3	`y`
84.4%	3	`(*.f64 x y)`

Compiler

Compiled 10 to 38 computations (-280% saved)

regimes146.0ms (2.5%)

Memory

-20.6MiB live, 55.4MiB 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)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (*.f64 t z)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 y x))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Calls

11 calls:

106.0ms	a
21.0ms	(*.f64 x y)
2.0ms	b
2.0ms	x
2.0ms	(+.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
57.0%	4	`(*.f64 z t)`
57.3%	4	`b`
57.0%	3	`a`
61.8%	4	`(*.f64 a b)`
45.5%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
58.2%	3	`x`
58.6%	4	`y`
56.3%	6	`t`
54.1%	4	`z`
56.7%	3	`(+.f64 (.f64 x y) (.f64 z t))`
59.6%	3	`(*.f64 x y)`

Compiler

Compiled 33 to 77 computations (-133.3% saved)

regimes3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	(*.f64 a b)
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
40.6%	1	`(*.f64 x y)`
58.7%	3	`(*.f64 a b)`

Compiler

Compiled 6 to 14 computations (-133.3% saved)

regimes96.0ms (1.6%)

Memory

-8.5MiB live, 30.5MiB 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

10 calls:

84.0ms	(*.f64 z t)
1.0ms	y
1.0ms	b
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
40.6%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
40.6%	1	`t`
40.6%	1	`z`
40.6%	1	`(*.f64 z t)`
40.6%	1	`b`
40.6%	1	`(+.f64 (.f64 x y) (.f64 z t))`
40.6%	1	`a`
40.6%	1	`y`
40.6%	1	`x`
40.6%	1	`(*.f64 a b)`

Compiler

Compiled 30 to 70 computations (-133.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2190741516400986e-30	6.783294609502373e-8
0.0ms	-5.467621596052503e+25	-5736937734392548000.0

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2190741516400986e-30	6.783294609502373e-8
0.0ms	-5.467621596052503e+25	-5736937734392548000.0

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.196789452592622e+68	1.6311856372309668e+70
0.0ms	-1.4055943803538528e+161	-6.597720941444333e+147

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.710089166730506e+108	1.254441368762942e+124
0.0ms	-1.4055943803538528e+161	-6.597720941444333e+147

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.783294609502373e-8	0.0019154652177663287
0.0ms	-7.24972827e-315	-0.0
0.0ms	-5.467621596052503e+25	-5736937734392548000.0

Compiler

Compiled 14 to 20 computations (-42.9% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.783294609502373e-8	0.0019154652177663287
0.0ms	-5.467621596052503e+25	-5736937734392548000.0

Compiler

Compiled 14 to 20 computations (-42.9% saved)

simplify89.0ms (1.5%)

Memory

-16.7MiB live, 37.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	473
1	68	473

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (fma.f64 b a (*.f64 t z)))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 y x (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal 178405961588245/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 b a)))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 a b) #s(literal 178405961588245/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))))
(if (<=.f64 (.f64 x y) #s(literal -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 x y) #s(literal 199999999999999990561044450276333613382502582705723397060843246977024 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 -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 y x))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 944473296573929/9444732965739290427392 binary64)) #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))))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))

Outputs
(fma.f64 y x (fma.f64 b a (*.f64 t z)))
(fma.f64 y x (fma.f64 b a (*.f64 z t)))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 y x (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal 178405961588245/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 b a)))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 y x (.f64 a b))) (if (<=.f64 (.f64 a b) #s(literal 178405961588245/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (.f64 x y))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 y x (*.f64 a b)))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 a b) #s(literal 178405961588245/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (.f64 y x))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 y x)))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 x y))) (if (<=.f64 (.f64 a b) #s(literal 178405961588245/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (.f64 x y))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 y x))) (if (<=.f64 (.f64 x y) #s(literal 199999999999999990561044450276333613382502582705723397060843246977024 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 -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (.f64 x y))) (if (<=.f64 (.f64 x y) #s(literal 199999999999999990561044450276333613382502582705723397060843246977024 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 z t))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 b a (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 y x))))
(if (<=.f64 (.f64 x y) #s(literal -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 b a (.f64 z t))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 x y))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) (if (<=.f64 (.f64 a b) #s(literal 944473296573929/9444732965739290427392 binary64)) #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))))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 a b))) (if (<=.f64 (.f64 a b) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 z t))) (if (<=.f64 (.f64 a b) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 x y)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 a b))))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 b a))) (if (<=.f64 (.f64 a b) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))))
(if (<=.f64 (.f64 a b) #s(literal -50000000000000002382364672 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (.f64 a b))) (if (<=.f64 (.f64 a b) #s(literal 944473296573929/9444732965739290427392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* t z) (* y x)) (.f64 z t))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 a b)))))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 b a)))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) #s(approx (+ (* b a) (* y x)) (*.f64 a b)))

soundness1.7s (28.2%)

Memory

15.7MiB live, 766.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	229
1	389	229
2	1252	229
3	3049	229
4	6626	229
0	8357	192
0	11	27
0	16	27
1	48	27
2	402	27
3	6038	27
0	8073	24
0	19	72
0	26	68
1	126	68
2	920	68
0	8789	68
0	128	285
1	488	285
2	1605	285
3	4041	285
4	7706	285
0	8454	240
0	128	285
1	492	285
2	1621	285
3	4019	285
4	7643	285
0	8404	240
0	104	229
1	389	229
2	1252	229
3	3049	229
4	6626	229
0	8357	192

Stop Event

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

Compiler

Compiled 646 to 306 computations (52.6% saved)

preprocess73.0ms (1.3%)

Memory

9.7MiB live, 124.5MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 1 130 to 304 computations (73.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.4s (24.4%)

explain187.0ms (3.2%)

preprocess106.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize31.0ms (0.5%)

series11.0ms (0.2%)

simplify115.0ms (2%)

rewrite239.0ms (4.1%)

eval22.0ms (0.4%)

prune3.0ms (0.1%)

simplify4.0ms (0.1%)

localize74.0ms (1.3%)

series18.0ms (0.3%)

simplify145.0ms (2.5%)

rewrite236.0ms (4%)

eval34.0ms (0.6%)

prune12.0ms (0.2%)

simplify4.0ms (0.1%)

localize43.0ms (0.7%)

series10.0ms (0.2%)

simplify141.0ms (2.4%)

rewrite266.0ms (4.5%)

eval27.0ms (0.5%)

prune7.0ms (0.1%)

simplify32.0ms (0.6%)

localize47.0ms (0.8%)

series6.0ms (0.1%)

simplify140.0ms (2.4%)

rewrite248.0ms (4.2%)

eval1.0ms (0%)

prune4.0ms (0.1%)

regimes63.0ms (1.1%)

regimes64.0ms (1.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes146.0ms (2.5%)

regimes3.0ms (0.1%)

regimes96.0ms (1.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify89.0ms (1.5%)

soundness1.7s (28.2%)

preprocess73.0ms (1.3%)

end0.0ms (0%)

Profiling