Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample487.0ms (20.1%)

Memory

3.4MiB live, 187.8MiB allocated

Samples

292.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 100.0ms (69.1% of total)

ival-sub: 34.0ms (23.5% of total)

ival-true: 5.0ms (3.5% of total)

exact: 4.0ms (2.8% of total)

ival-assert: 2.0ms (1.4% of total)

Bogosity

explain57.0ms (2.3%)

Memory

0.7MiB live, 33.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
0	-	-	`y`
0	-	-	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

12.66015625

Average Time

0.0494537353515625

Samples

22.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

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

ival-mult: 6.0ms (66.3% of total)

ival-sub: 2.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess43.0ms (1.8%)

Memory

-0.2MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	69
1	92	66
2	241	63
3	559	63
4	904	63
5	998	63
6	1012	63
7	1012	63
8	1012	63
0	7	7
0	10	7
1	19	7
2	49	7
3	99	7
4	131	7
5	170	7
6	221	7
7	263	7
8	348	7
9	400	7
10	430	7
0	430	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

Symmetry

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify12.0ms (0.5%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
cost-diff	128	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 z (.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
z

localize17.0ms (0.7%)

Memory

-0.9MiB live, 6.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0.01171875	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
accuracy	0.24171628339981197	(.f64 (.f64 y #s(literal 4 binary64)) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (67.9% of total)

ival-sub: 1.0ms (22.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

3 → 12

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))

Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
0.0ms	z	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))

simplify174.0ms (7.2%)

Memory

-3.5MiB live, 35.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	70
1	105	70
2	262	70
3	893	70
4	2564	70
5	4471	70
6	5485	70
7	5867	70
8	6081	70
9	6191	70
10	6233	70
0	8295	62

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 11

Calls

Call 1

Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))

Outputs
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

rewrite153.0ms (6.3%)

Memory

3.8MiB live, 59.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	15
2	219	15
3	2118	15
0	8340	14

Stop Event

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

Counts

3 → 207

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 z y) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (-.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 (.f64 z y) #s(literal -4 binary64) x))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x) (.f64 x x)))
(.f64 (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) #s(literal -4 binary64) x))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (/.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) x) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)))
(.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) x) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) (/.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) x) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))))
(.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) (.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) x) (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 0 binary64)) (+.f64 x #s(literal 0 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (+.f64 x #s(literal 0 binary64)) (.f64 z (.f64 #s(literal 4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x) (.f64 #s(literal 0 binary64) (-.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) x)))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)))) (.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (fma.f64 x x (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (fma.f64 x x (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -4 binary64) y)) z)))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -4 binary64) y)) z)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -4 binary64) y)) z)))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -4 binary64) y)) z)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -4 binary64) y)) z)))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -4 binary64) y)) z)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (.f64 z (.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x))
(-.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)))))
(+.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) x)
(+.f64 x (.f64 (.f64 z y) #s(literal -4 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z y) #s(literal 1 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 z y) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal 4 binary64)) y)
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) z)
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal 4 binary64)))
(pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval20.0ms (0.8%)

Memory: -0.3MiB live, 17.6MiB allocated
Compiler: Compiled 8 190 to 642 computations (92.2% saved)

prune3.0ms (0.1%)

Memory

0.7MiB live, 8.0MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accuracy

100.0%

Counts

212 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
▶	47.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify13.0ms (0.5%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -4 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) #s(literal -4 binary64))
cost-diff	0	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x

localize26.0ms (1.1%)

Memory

-4.1MiB live, 11.3MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	33.64789863168029	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 71 to 28 computations (60.6% saved)

Precisions

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

ival-mult: 8.0ms (74.9% of total)

ival-sub: 1.0ms (9.4% of total)

ival-add: 1.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

5 → 16

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)

Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
(+ x (* -4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* y z)
(* y (- (/ x y) (* 4 z)))
(* y (+ (* -4 z) (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -4 z)
(* z (- (/ x z) (* 4 y)))
(* z (+ (* -4 y) (/ x z)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
0.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))

simplify105.0ms (4.3%)

Memory

-4.2MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	96
1	143	96
2	369	96
3	1011	96
4	2675	96
5	5450	96
6	7566	96
0	8082	84

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
(+ x (* -4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* y z)
(* y (- (/ x y) (* 4 z)))
(* y (+ (* -4 z) (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -4 z)
(* z (- (/ x z) (* 4 y)))
(* z (+ (* -4 y) (/ x z)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))

Outputs
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* y z)
(*.f64 z y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

rewrite140.0ms (5.8%)

Memory

2.2MiB live, 44.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
0	18	30
1	58	29
2	392	29
3	4464	29
0	8221	29

Stop Event

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

Counts

5 → 195

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
(.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) z))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 (neg.f64 z))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) z))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) y))))
(.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 y) z) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 z (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 (.f64 z y)) #s(literal 4 binary64))
(.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(.f64 #s(literal -4 binary64) (.f64 z y))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 z))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z))
(.f64 #s(literal 4 binary64) (.f64 y (neg.f64 z)))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 z y)))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))))))
(neg.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) z) y)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -4 binary64) z) y))
(*.f64 z y)
(*.f64 y z)
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) x))) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) (fma.f64 (.f64 z y) #s(literal 4 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 z y) (fma.f64 (.f64 z y) #s(literal 4 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) x))) (-.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) x))) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) #s(literal 4096 binary64) (pow.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 256 binary64) (pow.f64 (.f64 z y) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x) (-.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) y) z x))
(.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 x x (.f64 #s(literal -16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal -4 binary64) y) z x))
(.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64)) (fma.f64 x x (.f64 #s(literal -16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))))
(.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) x)) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) y) z x))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) z x) (fma.f64 (.f64 z y) #s(literal 4 binary64) x)))
(.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) z x) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64))))
(.f64 (fma.f64 x x (.f64 #s(literal -16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) x)))
(.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) z x) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))))
(.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) z x) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) z x) (/.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) z x) (.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) x))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))) (-.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (.f64 (neg.f64 x) x)) (fma.f64 (.f64 z y) #s(literal 4 binary64) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 256 binary64) (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) x))) (fma.f64 x x (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) x))) (fma.f64 #s(literal 256 binary64) (pow.f64 (.f64 z y) #s(literal 4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 (*.f64 z y) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (.f64 z y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 6 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (.f64 z y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) #s(literal 4096 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 (.f64 z y) #s(literal 4 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) x)) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (fma.f64 (.f64 z y) #s(literal 4 binary64) x)) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
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(fma.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (/.f64 (.f64 z y) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z z)) y) (/.f64 y (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal -4 binary64) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) z) (/.f64 (.f64 #s(literal -4 binary64) y) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)) x)
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (.f64 z z) (/.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 #s(literal -1 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)) x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) (/.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) y) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) x)
(fma.f64 (.f64 z y) (/.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64) x)
(fma.f64 z (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) z) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y (neg.f64 z)) x)
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)) x)
(fma.f64 y (/.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z z)) y) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 x (/.f64 x (fma.f64 (.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (.f64 z (.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x))
(-.f64 (.f64 x (/.f64 x (fma.f64 (.f64 z y) #s(literal 4 binary64) x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))))
(-.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x))))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 (.f64 z y) #s(literal 4 binary64) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) x) x)))))
(+.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) z) y) x)
(+.f64 x (.f64 (.f64 #s(literal -4 binary64) z) y))
(*.f64 (neg.f64 z) #s(literal 4 binary64))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 z))
(neg.f64 (*.f64 z #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))

eval20.0ms (0.8%)

Memory: -2.2MiB live, 16.1MiB allocated
Compiler: Compiled 4 970 to 542 computations (89.1% saved)

prune5.0ms (0.2%)

Memory

1.0MiB live, 9.0MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	200	2	202

Accuracy

100.0%

Counts

202 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
▶	47.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify13.0ms (0.5%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal -4 binary64) y) z)
cost-diff	0	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	59	24
3	98	24
4	131	24
5	170	24
6	221	24
7	264	24
8	350	24
9	402	24
10	432	24
0	432	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z

localize19.0ms (0.8%)

Memory

0.6MiB live, 8.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.24171628339981197	(.f64 (.f64 #s(literal -4 binary64) y) z)
accuracy	33.64789863168029	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Samples

14.0ms

256×

valid

Compiler

Compiled 44 to 23 computations (47.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 7.0ms (85.7% of total)

ival-sub: 1.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)

Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* -4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y))
0.0ms	y	@	0	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y))
0.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y))
0.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y))

simplify196.0ms (8.1%)

Memory

-8.0MiB live, 35.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	65
1	105	65
2	262	65
3	891	65
4	2563	65
5	4478	65
6	5497	65
7	5876	65
8	6086	65
9	6200	65
10	6242	65
0	8312	57

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* -4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))

Outputs
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

rewrite145.0ms (6%)

Memory

5.2MiB live, 49.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
0	13	21
1	39	21
2	229	21
3	2138	21
0	8443	20

Stop Event

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

Counts

3 → 52

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 y) z) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 z (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 (.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 #s(literal -4 binary64) (.f64 z y))
(.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 z))
(.f64 #s(literal 4 binary64) (.f64 y (neg.f64 z)))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 z y)))
(.f64 y (.f64 #s(literal -4 binary64) z))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (*.f64 #s(literal -4 binary64) y) z)))))
(/.f64 (neg.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))) (neg.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))))) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)))))
(/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)))))))
(/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))))))
(neg.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)))))) (.f64 (.f64 #s(literal -4 binary64) y) z))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -4 binary64) y) z))
(*.f64 (neg.f64 y) #s(literal 4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
(.f64 (.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 y))
(*.f64 y #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 16 binary64) (.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (.f64 y y) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 16 binary64) (.f64 y y))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (.f64 y y) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y)) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 16 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (.f64 y y) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y)))) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))))))
(neg.f64 (*.f64 #s(literal 4 binary64) y))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (.f64 y y) (.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) y))))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (.f64 y y) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) y))

eval6.0ms (0.2%)

Memory: -2.5MiB live, 5.0MiB allocated
Compiler: Compiled 1 064 to 200 computations (81.2% saved)

prune4.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Accuracy

100.0%

Counts

57 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
✓	47.4%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes12.0ms (0.5%)

Memory

-1.4MiB live, 10.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

Calls

6 calls:

2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes9.0ms (0.4%)

Memory

-6.6MiB live, 9.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Calls

6 calls:

2.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
47.4%	1	`x`
47.4%	1	`y`
47.4%	1	`z`
47.4%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
47.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
47.4%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

simplify20.0ms (0.8%)

Memory

2.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	16	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 y #s(literal -4 binary64)) z))

soundness657.0ms (27%)

Memory

1.9MiB live, 1.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	70
1	105	70
2	262	70
3	893	70
4	2564	70
5	4471	70
6	5485	70
7	5867	70
8	6081	70
9	6191	70
10	6233	70
0	8295	62
0	7	15
0	10	15
1	32	15
2	219	15
3	2118	15
0	8340	14
0	13	30
0	18	30
1	58	29
2	392	29
3	4464	29
0	8221	29

Stop Event

1×	done
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 50 to 40 computations (20% saved)

preprocess59.0ms (2.4%)

Memory: -1.6MiB live, 13.6MiB allocated
Remove: (sort y z)
Compiler: Compiled 88 to 76 computations (13.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	59	24
3	98	24
4	131	24
5	170	24
6	221	24
7	264	24
8	350	24
9	402	24
10	432	24
0	432	23

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	59	24
3	98	24
4	131	24
5	170	24
6	221	24
7	264	24
8	350	24
9	402	24
10	432	24
0	432	23

start0.0ms (0%)

analyze0.0ms (0%)

sample487.0ms (20.1%)

explain57.0ms (2.3%)

preprocess43.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.5%)

localize17.0ms (0.7%)

series6.0ms (0.2%)

simplify174.0ms (7.2%)

rewrite153.0ms (6.3%)

eval20.0ms (0.8%)

prune3.0ms (0.1%)

simplify13.0ms (0.5%)

localize26.0ms (1.1%)

series5.0ms (0.2%)

simplify105.0ms (4.3%)

rewrite140.0ms (5.8%)

eval20.0ms (0.8%)

prune5.0ms (0.2%)

simplify13.0ms (0.5%)

localize19.0ms (0.8%)

series3.0ms (0.1%)

simplify196.0ms (8.1%)

rewrite145.0ms (6%)

eval6.0ms (0.2%)

prune4.0ms (0.2%)

regimes12.0ms (0.5%)

regimes9.0ms (0.4%)

simplify20.0ms (0.8%)

soundness657.0ms (27%)

preprocess59.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	49	19
3	99	19
4	131	19
5	170	19
6	221	19
7	263	19
8	348	19
9	400	19
10	430	19
0	430	18

Iter	Nodes	Cost
0	13	37
0	18	37
1	35	36
2	62	36
3	101	36
4	134	36
5	173	36
6	224	36
7	268	36
8	353	36
9	405	36
10	435	36
0	435	36

Iter	Nodes	Cost
0	11	24
0	13	24
1	26	24
2	59	24
3	98	24
4	131	24
5	170	24
6	221	24
7	264	24
8	350	24
9	402	24
10	432	24
0	432	23